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version 1.5, 2002/06/28 13:03:44

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]><archimedes> <info> <author>Tartaglia, Niccolo</author> <title>Quesiti et Inventione Diverse</title> <date>1597</date> <place>Napoli</place> <editor></editor> <publisher></publisher> <translator></translator> <lang>it</lang> <chunk unit="page*">page</chunk><locator>0000000042</locator> </info> <text> <front> </front> <body> <chap> <pb id="p.0001"/>

<s>QVESITI ET INVEN, <lb/><emph type="italics"/>TIONI DIVERSE<emph.end type="italics"/><lb/>DE NICOLO TARTAGLIA.</s>

<s>DI NOVO RESTAMPATI CON VNA <lb/>GIONTA AL SESTO LIBRO, NBLLA <lb/><emph type="italics"/>quale &longs;i mo&longs;tra duoi modi di redur una Citta ine&longs;pugnabile.<emph.end type="italics"/></s>

<s>LA DIVISIONB ET CONTINENTIADI TVTTA <lb/>l'opra nel feguente foglio &longs;i trouara notata.</s>

<s>CONPRIVILEGIO</s><figure></figure>

<s>APPRE<emph type="italics"/>SS<emph.end type="italics"/>O DE L'AVTTORE <lb/>MD LIIII.</s><pb/>

<s>LA PRESENTE OPERA E DI<lb/><emph type="italics"/>ui&longs;a in noue libri, la continentia di cia&longs;cun di loro <lb/>&longs;ummariamente di &longs;otto &longs;i narra.<emph.end type="italics"/><lb/><emph type="italics"/>Nel primo libro &longs;i tratta, delli tiri & effetti delle artegliarie, &longs;econdo le &longs;ue ud <lb/> rie elleuationi, & &longs;econdo la uaria po&longs;ition delle mire con altri &longs;uoi &longs;trani <lb/> accidenti. a car. </s>

<s>5 <lb/>Nel &longs;econdo &longs;i manife&longs;ta la differentia, che occorre fra li tiri, & effetti fatti con balle di <lb/> piombo, di ferro, ouer di pietra, con altre &longs;otilita circa la proportion pe&longs;o & mi&longs;ura <lb/> delle dette balle. a car. </s>

<s>32 <lb/>Nel tertio &longs;e notifica le &longs;pecie di &longs;alnitri, & le uarie compo&longs;itioni delle poluere u&longs;ata da <lb/> no&longs;tri antichi & moderni &longs;perimentatori. a car. </s>

<s>73 <lb/>Nel quarto &longs;i da el modo di &longs;aper ordinar li e&longs;&longs;erciti in battaglia &longs;otto uarie & diuer&longs;e <lb/> forme, con un modo di faper tramutar in un &longs;ubito una ordinanza in forma quadra di <lb/> gente, in una forma cunea &longs;enza de&longs;ordinar la prima ordinanza & altre. </s>

<s>43 <lb/>Nel quinto libro &longs;e in&longs;egna il modo di mettere rettamente il di&longs;egno con el Bo&longs;&longs;olo, li &longs;iti, <lb/> Pae&longs;i, & le piante delle Città, con el modo de fabicar il detto Bo&longs;&longs;olo in dui modi. <lb/> a carte. </s>

<s>55 <lb/>Nel &longs;e&longs;to libro &longs;i narra, il modo, che &longs;i doueria o&longs;&longs;eruar nel fortificar le Città a que&longs;ti tem <lb/> pi per ouiar alli uigoro&longs;i colpi delle artegliarie per uigor della forma. a car. </s>

<s>64 <lb/>Nella gionta del detto &longs;e&longs;to libro &longs;i mo&longs;tra dui modi de fortificar una Città, luno di quali <lb/> per &longs;e la redu&longs;&longs;e ine&longs;pugnabile, et che non potra e&longs;&longs;er battuta ne daneggiata da nemici <lb/> <expan abbr="cõ">com</expan> le artegliarie, ne potra e&longs;&longs;er minata, ne ìpite le fo&longs;&longs;e, et l'altro &longs;ara tale, che <expan abbr="ruuinã">ruuinam</expan> <lb/> dogli le mura &longs;i fara qua&longs;i piu forte che con le mura, <expan abbr="cõ">com</expan> altre particolarita. a car. </s>

<s>71 <lb/>Nel &longs;ettimo libro &longs;i manife&longs;ta alcuni dubbij, che mouer &longs;i po&longs;&longs;eno &longs;opra li principij delle <lb/> que&longs;tioni Mecanice de Ari&longs;totile, per acuir li pelegrini in gegni. </s>

<s>78 <lb/>Nel ottauo libro &longs;i tratta della &longs;cientia di Pe&longs;i demo&longs;tratiuamente, per mezzo della qual <lb/> &longs;cientia non &longs;olamente &longs;i puo cono&longs;cere & &longs;apere la forza de l'buomo, ma anchora <lb/> trouar modo, di augumentar quella con artificio&longs;i i&longs;trumenti in infinito. </s>

<s>83 <lb/>Nel nono libro &longs;i da regola & modo di &longs;aper ri&longs;oluere uarij & diuer&longs;i ca&longs;i, ouer que<lb/>&longs;tioni in Arithmetica, in Geometria, & in la Pratica &longs;peculatiua de l'arte Magna, <lb/> detta Algebra & almucabala, uolgarmente detta la Regola della co&longs;a, & maßime <lb/> &longs;opra le Regole de co&longs;e e cubi eguali a numero, dal pre&longs;ente Autor ritrouate, & &longs;imel <lb/> mente de cen&longs;i e cubi & altri &longs;uoi edderenti, li quali da &longs;apienti erano giudicati im<lb/>poßibili. a car.<emph.end type="italics"/> 98 </s><pb/>

<s><emph type="italics"/>TAVOLA DE CIO CHE<emph.end type="italics"/><lb/>SI CONTIEN PARTICOLARMEN<lb/>TEIN CIASCVNLIBRO.</s>

<s><emph type="italics"/>El&longs;oggetto delli Que&longs;iti del primo libro.<emph.end type="italics"/><lb/>Di <emph type="italics"/>che &longs;o&longs;tantia &longs;ia la notitia della proportione delli tiri lontani e propinqui. </s>

<s>5. al Que&longs;ito primo <lb/>Come che una artegliaria fara maggior effetto nellli tiri elleuati che nelli aliueliati. </s>

<s>7. al Que&longs;ito &longs;econdo <lb/>Come the una balla tirata da una artegliaria mai ua per linea retta eccetto che rettamente <lb/> in &longs;u&longs;o uer&longs;o el cielo, ouer rettam&ebreve;te in zo&longs;o uer&longs;o el centro del <expan abbr="mõdo">mondo</expan>. </s>

<s>a car.<emph.end type="italics"/> 11. <expan abbr="q.">que</expan> 3 <lb/>C<emph type="italics"/>ome che tirando un pezzo due uolte luna drieto l'altra in un mede&longs;imo uer&longs;o, tirara <lb/> piu alla &longs;econda uolta che alla prima. a carte. </s>

<s>23. al Que&longs;ito. </s>

<s>4 <lb/><expan abbr="Cõe">Cone</expan> che a tirar molte uolte <expan abbr="cõtinue">continue</expan> un pezzo al fine tirara men <expan abbr="lõtano">lontano</expan>. </s>

<s>13. al<emph.end type="italics"/> <expan abbr="q.">que</expan> 5 <lb/>D<emph type="italics"/>onde procede che dagando piu poluer a un pezzo dara piu alto da quel &longs;egno doue con <lb/> men poluere ue tiraua rettamente de mira. </s>

<s>14. al Que&longs;ito. </s>

<s>6. <lb/>De tutti li effetti, ouer botte cha puo occorrere nel tirar de mira quando che la mira da<lb/>uanti del pezzo e egualmente alta a quella da drio, o ueramente piu alta o ueramente <lb/> piu ba&longs;&longs;a del &longs;uo douere. a carte. </s>

<s>14. al Que&longs;ito. </s>

<s>7. <lb/>De tutti li effetti, ouer botte che puo occorrere nel tirar de mira quando che la mira dauan <lb/> ti non e tanto piu corta di quella de drio quanto bi&longs;ognaria. a car. </s>

<s>16. al<emph.end type="italics"/> <expan abbr="q.">que</expan> 8. <lb/>D<emph type="italics"/>e tutti li effetti, ouer botte che puo occorrere nel tirar de mira quando che la mira dauan <lb/> ti ha la &longs;ua conueniente ba&longs;&longs;ezza re&longs;petto a quella de drio. </s>

<s>17. al Que&longs;ito. </s>

<s>9. <lb/>Donde puo proceder la cau&longs;a quando che un pezzo da molto co&longs;tero nel tirar de mira. <lb/> a carte. </s>

<s>17. al Que&longs;ito. </s>

<s>10. <lb/>Come che el non e generale que&longs;ta regola che quanto che un pezzo e piu longo di canna <lb/> tanto piu tiri lontano, & come che nel far colobrine molto longhe è un error troppo <lb/> manife&longs;to & di molto danno. a car. </s>

<s>18. al Que&longs;ito. </s>

<s>11. <lb/>Della longhezza de tutte le &longs;pecie de pezzi, & della quantita del metallo, che <expan abbr="cõmunam&ebreve;-">communam&ebreve;<lb/></expan> te ue intra in cadauno de loro, et delli animali, che ui uol a <expan abbr="cõdurli">condurli</expan>. </s>

<s>19. al<emph.end type="italics"/> <expan abbr="q.">que</expan> 11. <lb/>D<emph type="italics"/>i quanta longhezza doueria e&longs;&longs;er la canna de cadaun pezzo a douer e&longs;&longs;er ben propor <lb/> tionata la longhezza. a car. </s>

<s>20. al Que&longs;ito. </s>

<s>22. <lb/>Come de nece&longs;sita eglie un certo termine, ouer mi&longs;ura nel dar della poluere nel qual <lb/> daendo piu, ouer men poluer al pezzo di quella tal mi&longs;ura &longs;empre tal pezzo tirara <lb/> manco. a car. </s>

<s>20. al Que&longs;ito. </s>

<s>13. <lb/>Qual &longs;ia meglio calcar benißimo la poluer nel pezzo ouer la&longs;&longs;arla alquanto rara. </s>

<s>22. al Que&longs;ito. </s>

<s>14. <lb/>Qual è la cau&longs;a che con un &longs;chioppo &longs;e tiri piu lontan de mira che non &longs;i fa con un ar<lb/>chibu&longs;o & tamen lo archibu&longs;o fara maggior pa&longs;&longs;ata in un comun tramite del &longs;chiop-<emph.end type="italics"/><pb/> <emph type="italics"/>po. </s>

<s>22. al Que&longs;ito. </s>

<s>15. <lb/>Donde procede che una drtegliaria non fa tanto effetto percotendo in una naue ouer ga<lb/>lia in mare quanto faria percottendo in una muraglia. </s>

<s>22. al Que&longs;ito. </s>

<s>16. <lb/>Come &longs;e potria di&longs;chiodare al improui&longs;o una multitudine de artegliarie che fu&longs;&longs;eno &longs;tate <lb/> inchiodate. a car. </s>

<s>23. al Que&longs;ito. </s>

<s>17. <lb/>Doue na&longs;ce la cau&longs;a che una artegliaria fa manco effetto nella co&longs;a doue &longs;e tira, a &longs;tarui <lb/> molto propinquo che a &longs;tarui alquanto di lontano. </s>

<s>23. al Que&longs;ito. </s>

<s>18. <lb/>In quanta di&longs;tantia una artegliaria faria el maggior effetto, che far po&longs;&longs;a. </s>

<s>a carte. </s>

<s>24. <lb/> al Que&longs;ito. </s>

<s>29. <lb/>Perche cau&longs;a &longs;e mette quelli &longs;troppaioni di fieno, ouer di &longs;toppa auanti alla balla & da <lb/> poi. a car. </s>

<s>24. al Que&longs;ito. </s>

<s>20 <lb/>La cau&longs;a d'un certo ca&longs;o rediculo&longs;o di una artegliaria che &longs;orbete dentro nella canna un <lb/> cagnolino. a car. </s>

<s>24. al Que&longs;ito. </s>

<s>21. <lb/><expan abbr="Dõde">Donde</expan> procede che de tutte le artegliarie che creppano, creppano la maggior parte de drio, <lb/> ouer nella bocca, & rare uolte nel mezzo. a carte. </s>

<s>25. al Que&longs;ito. </s>

<s>22 <lb/>Come &longs;e potria cono&longs;cere &longs;e una artegliaria tirara li &longs;uoi tiri retti &longs;enza tirarla altra<lb/>mente. a carte. </s>

<s>26. al Que&longs;ito. </s>

<s>23. <lb/>La cau&longs;a d'un'altro accidente di una artegliaria che &longs;orbette &longs;u&longs;o gran quantita di &longs;abbia <lb/> a Lio. a car. </s>

<s>27. al Que&longs;ito. </s>

<s>24. <lb/>Come che quelle mire che &longs;eruono per tirar in piano, non &longs;eruono co&longs;i preci&longs;amente per <lb/> tirar a l'alta, ouer al ba&longs;&longs;o. a car. </s>

<s>27. al Que&longs;ito. </s>

<s>26. <lb/>Come che quelle mire che fanno dar la botta di &longs;opra dal &longs;egno in maggior di&longs;tantia la <lb/> faranno dar molto piu di &longs;opra dal &longs;egno. a car. </s>

<s>28. al Que&longs;ito. </s>

<s>27. <lb/>Come che quelle mire che fanno dar la botta de &longs;otto dal &longs;egno in maggior di&longs;tantia puo <lb/> far uarij effetti. a car. </s>

<s>28. al Que&longs;ito. </s>

<s>28. <lb/>Donde procede che ogni Schioppettero, & anche Bombardero, generalmente quanto <lb/> che e piu propinquo al &longs;egno tolto de mira tanto piu è atto a far piu bella botta. <lb/> a car. </s>

<s>29. al Que&longs;ito. </s>

<s>29. <lb/>Donde procede che <gap/>rando de continuo a un &longs;e gno de mira con un mede&longs;imo &longs;chioppo alle <lb/> uolte &longs;e da molto di &longs;opra, alle uolte molto di &longs;otto, alle uolte molto costero del &longs;egno <lb/> tolto de mira & alle uolte nel &longs;egno. a car. </s>

<s>31. al Que&longs;ito.<emph.end type="italics"/> 30 </s>

<s><emph type="italics"/>El&longs;oggetto delli Que&longs;iti del Secondo libro.<emph.end type="italics"/><lb/>Q<emph type="italics"/>ual andara piu lontaro (& quanto) una balla di Piombo, ouer di Ferro, ouer di Pie<lb/>tra, & prima con equal quantita di Poluere, & da poi con la &longs;ua poluere ordmaria. <lb/> a car. </s>

<s>32. al Que&longs;ito. </s>

<s>4. <lb/>Qual fara maggior effetto in una di&longs;tantia comuna, una balla di Piombo, ouer di Ferro, <lb/> ouer di Pietra, & prima con equal quantita di poluere, & dapoi con la &longs;ua poluere <lb/> ordinaria. a car. </s>

<s>33. al Que&longs;ito. </s>

<s>6. <lb/>Donde procede che e&longs;&longs;endo tirato ad alcuni gua&longs;tadori in Rodi, alla prima uolta la balla <pb/> ziffolaua molto forte per aere, & alle altri tiri la balla ui ueniua tacita & quieta. <lb/> a car. </s>

<s>33. al Que&longs;ito. </s>

<s>7. <lb/>Qual andara piu lontano una balla graue, ouer legera. </s>

<s>34. al Que&longs;ito. </s>

<s>8. <lb/>Certe regole, che per la notitia del diometro & pe&longs;o di una balla &longs;e puol determinare el <lb/> pe&longs;o, ouer el diametro di qualunque altra. </s>

<s>34. al Que&longs;ito. </s>

<s>9. & 10. <lb/>La determinatione del diametro de piu &longs;orte balle per linea ritrouati geometrice per la no <lb/> titia d'un diametro dato. a car. </s>

<s>35. al Que&longs;ito. </s>

<s><emph type="italics"/>El&longs;uggetto delli Que&longs;itidel Terzo libro.<emph.end type="italics"/><lb/>Q<emph type="italics"/>ualmente la notitia del Salnitrio & la natura &longs;ua è antiquißima & come ne &longs;ono de ua<lb/>rie &longs;pecie. a car. </s>

<s>37. al Que&longs;ito. </s>

<s>1. & 2. <lb/>Perche cau&longs;a li antiqui non &longs;epeno componer la poluere delle artegliarie. </s>

<s>a carte 38. <lb/> al Que&longs;ito. </s>

<s>3. <lb/>Che uirtu, ouer officio particolare ha cadauno di tre &longs;implici, ouer materiali, cioe Salnitrio, <lb/> Solphere et Carbone nella compo&longs;itione della poluere. </s>

<s>38. al Que&longs;ito. </s>

<s>4. <lb/>Chi fu inuentor della poluere, & con che ragione fu determinata la proportione della quan <lb/> tita de cadauno de detti tre materiali. a car. </s>

<s>39. al Que&longs;ito. </s>

<s>5. <lb/>Delli uarij ordeni &longs;i antiqui come moderni u&longs;itadi nella compo&longs;itione delle poluere gro&longs;&longs;e <lb/> & fine. a car. </s>

<s>39. al Que&longs;ito. </s>

<s>5. <lb/>Come &longs;e puol cono&longs;cere una poluere e&longs;&longs;er piu potente de un'altra. </s>

<s>41. al Que&longs;ito. </s>

<s>6. <lb/>Come &longs;i puo augumentar la poluere in uirtu, ouer potentia. </s>

<s>41. al Que&longs;ito. </s>

<s>7. <lb/>Se egli è nece&longs;&longs;ario a limitar la compo&longs;itione della poluere delle artegliarie gro&longs;&longs;e da quel <lb/> la delle &longs;otile & da quella delli archibu&longs;i & Schioppi. </s>

<s>42. al Que&longs;ito. </s>

<s>8. <lb/>Perche cau&longs;a &longs;i da la grana alla poluere delli archibu&longs;i, & non a quella delle artegliarie. <lb/> a car. </s>

<s>42. al Que&longs;ito. </s>

<s><emph type="italics"/>El&longs;uggetto delli Que&longs;iti del Quarto libro.<emph.end type="italics"/><lb/>C<emph type="italics"/>ome &longs;i de procedere, a uoler redure una quantità de fanti, ouer un e&longs;&longs;ercito in Batta<lb/>glia quadra di gente & a quanti per fila &longs;i debbono far caminar per uiaggio, ouer ca<lb/>mino accio che occorrendo el bi&longs;ogno con facilità &longs;i pote&longs;&longs;eno mettere &longs;ubito in orde<lb/>nanza. a car. </s>

<s>43. al Que&longs;ito. </s>

<s>2. <lb/>Come &longs;e debbe procedere a uoler far una ordinanza &longs;imile a una data in ogni quantità <lb/> de fanti. a car. </s>

<s>46. al Que&longs;ito. </s>

<s>3. <lb/>Come &longs;i de procedere uolendo redur una quantità de fanti, ouer un e&longs;&longs;ercito in una Batta<lb/>glia quadra di terreno. a car. </s>

<s>47. al Que&longs;ito 4. <lb/>Come &longs;i de procedere de una quantita de fanti a uolerne formar el cuneo, ouer la forfice. <lb/> a car. </s>

<s>47. al Que&longs;ito. </s>

<s>5. & 6. <lb/>Di che auantaggio &longs;aria un'e&longs;&longs;ercito formato in forma cunea, quando che li nemici non <lb/> &longs;ape&longs;&longs;eno con&longs;tituir la for&longs;ice. a car. </s>

<s>48. al Que&longs;ito. </s>

<s>7. <lb/>Come &longs;e doueria procedere uolendo de una quantità de fanti formar la Serra, ouer Segha. <lb/> a car. </s>

<s>49. al Que&longs;ito.<emph.end type="italics"/> 8. <pb/>C<emph type="italics"/>ome &longs;e doueria procedere uolendo redur una quantita de fanti in figura Rhombica di <lb/> gente. a car. </s>

<s>49. al Que&longs;ito. </s>

<s>9. <lb/>Come &longs;e poteria ordinar una quantita de fanti, ouer un e&longs;&longs;ercito in una battaglia cor<lb/>nuta. a car. </s>

<s>50. al Que&longs;ito. </s>

<s>10. <lb/>Come non e licito uno e&longs;&longs;ercito offe&longs;o dalle artegliarie nemiche, a re&longs;tringer&longs;i in&longs;ieme, ne <lb/> manco a caminare &longs;econdo che &longs;i troua. a car. </s>

<s>52. al Que&longs;ito. </s>

<s>11. <lb/>Come &longs;e doueria procedere uolendo in un &longs;ubito ridure una ordinanza in forma quadra <lb/> di gente, in una forma cunea &longs;enza de&longs;ordinare la prima ordinanza. a carte. </s>

<s>52. <lb/> al Que&longs;ito. </s>

<s>22. <lb/>Con ragion &longs;e approud come che eglie poßibile a ritrouar col frequente &longs;tudio modi di <lb/> ordinar un e&longs;&longs;ercito qua&longs;i di che fattion, ouer autorita &longs;i uoglia. </s>

<s><emph type="italics"/>El&longs;oggetto delli Que&longs;iti del quinto libro.<emph.end type="italics"/><lb/>C<emph type="italics"/>ome ua fabricato il Bo&longs;&longs;olo per tor in di&longs;egno li &longs;iti pae&longs;i & le piante delle Città. <lb/> a carte. </s>

<s>55. al Que&longs;ito primo <lb/>Come &longs;e de proceder a, uoler tor in di&longs;egno un &longs;ito, ouer pae&longs;e contenuto da linee rette. <lb/> a carte. </s>

<s>56. al Que&longs;ito &longs;econdo <lb/>Come &longs;e de procedere uolendo tor in di&longs;egno un pae&longs;e contenuto da linee corue & rette. <lb/> a carte. </s>

<s>60. al Que&longs;ito. </s>

<s>4. <lb/>Come &longs;i de procedere uolendo tor in di&longs;egno la pianta de una Città. </s>

<s>61. al<emph.end type="italics"/> <expan abbr="q.">que</expan> 5. <lb/>C<emph type="italics"/>ome &longs;e de procedere uolendo formar un Bo&longs;&longs;olo per &longs;e mede&longs;imo & con puoco arte&longs;i<lb/>cio & &longs;pe&longs;a. a carte. </s>

<s>61. al Que&longs;ito.<emph.end type="italics"/> 6. </s>

<s>ALLILETTORI.</s>

<s>C<emph type="italics"/>hi Brama di ueder noue inuentioni, <lb/>Non tolte da Platon, ne da Plotino, <lb/>Ne d'alcun altro Greco, ouer Latino, <lb/>Ma &longs;ol da Larte, mi&longs;ura, e Ragioni.<emph.end type="italics"/></s>

<s>L<emph type="italics"/>ega di que&longs;to le interrogationi, <lb/>Fatte da Pietro, Pol, Zuann', e Martino<emph.end type="italics"/><lb/>(S<emph type="italics"/>i come, l'occorea &longs;era, e Matino<emph.end type="italics"/>) <lb/>E<emph type="italics"/>t &longs;imelmente, le re&longs;pon&longs;ioni.<emph.end type="italics"/></s>

<s>Q<emph type="italics"/>ui dentr'intendara, sè non m'inganno, <lb/>De molti effetti a&longs;&longs;ai &longs;peculatiui, <lb/>La cau&longs;a propinqua del &longs;uo danno,<emph.end type="italics"/></s>

<s>A<emph type="italics"/>nchor de molti atti operatiui, <lb/>Se uedera e&longs;&longs;equir con puoc'affanno<emph.end type="italics"/></s>

<s>N<emph type="italics"/>ell'arte della guerra Profittiui. <lb/>Et molto defen&longs;iui.<emph.end type="italics"/></s>

<s>C<emph type="italics"/>on altre co&longs;e di magno ualore,<emph.end type="italics"/></s>

<s>E<emph type="italics"/>t inuentioni nell'arte maggiore.<emph.end type="italics"/></s><pb/>

<s><emph type="italics"/>AL CLEMENTISSIMO, ET<emph.end type="italics"/><lb/>INVITTISSIMO HENRICO, OTTAVO, <lb/>PERLA DIO GRATIA RE DE ANGLIA, DE <lb/>FRANCIA, ET DE HIB BRNIA, ETC.</s><figure></figure>

<s><emph type="italics"/>NICOLO TARTAGLIA.<emph.end type="italics"/></s>

<s>Le D<emph type="italics"/>imande, Que&longs;iti, ouer Interrogationi Mae&longs;tà <lb/>Serenißima, & Illu&longs;trißima, fatte da Saui, & <lb/>Prudenti Domandatori, fanno molte uolte con&longs;i<lb/>derare allo interrogato molte co&longs;e, & anchora co<lb/>no&longs;cerne molte altre, le quale &longs;enza e&longs;&longs;erne ddi<lb/>mandato giamai harebbe cono&longs;ciute, ne con&longs;iderate. <lb/>Que&longs;to dico per me, qual mai feci profeßione, <lb/>ouer dilettai de tirare di alcuna &longs;orte, Arteglia<lb/>ria, Archibu&longs;o, Bombarda, ne Schioppo, (ne <lb/>manco tirar intendo) & un &longs;ol que&longs;ito fattomi da <lb/>un perito Bombardero, l'anno<emph.end type="italics"/> MDXXXI. <lb/><emph type="italics"/>in Verona, mi fece à quel tempo con&longs;iderare, & inue&longs;tigare &longs;peculatiuamente l'ordine, <lb/>& proportione di tiri propinqui, & lontani, &longs;econdo le uarie elleuationi de tale ma<lb/>chine tormentarie, alle qual co&longs;e giamai haueria po&longs;to cura, &longs;e tal Bombardero, con <lb/>tal &longs;uo que&longs;ito non mi haue&longs;&longs;e in tal materia &longs;ueggiato. </s>

<s>Ma piu &longs;entendo io l'anno<emph.end type="italics"/><lb/>MDXXXVII. <emph type="italics"/>con quanto gran preparamente &longs;i moueua Soliman Impera<lb/>tor de Turchi, per infe&longs;tare la no&longs;tra Chri&longs;tiana Religione, Compoßi con gran celeri<lb/>tà &longs;opra à tal materia una operina, & quella publicai. </s>

<s>Accioche tai mie particolar in<lb/>uentioni &longs;i haue&longs;&longs;eno à &longs;perimentare, uedere, & con&longs;iderare &longs;e di quelle &longs;i poteua caua<lb/>re qualche buon co&longs;trutto in beneficio & difen&longs;ion di quella, & quantunque di tal co&longs;a <lb/>non ne &longs;eguita&longs;&longs;e altro (per uari accidenti, ne manco io me ne curai, perche tal guerra <lb/>in fummo &longs;i ri&longs;ol&longs;e,) nondimeno tal mia operina, ha prouocato uarie qualità di per&longs;o<lb/>ne, & maggior parte non uolgare, ma di &longs;upremo, & alto ingegno) à trouagliarmi <lb/>di nouo con altri uarij Que&longs;iti, ouer interrogationi, & non &longs;olamente &longs;opra à tal ma<lb/>teria di Artegliarie, Balle, Salnitrio, & Poluere. </s>

<s>Ma anchora &longs;opra di nouo me han<lb/>no fatto non &longs;olamente con&longs;iderare tai particolarità da loro adimandate, ma anchora co<lb/>no&longs;cerne, & ritrouarne (com'e detto) molte altre, lequale &longs;enza tai &longs;uoi Que&longs;iti, <lb/>ouer interrogationi, for&longs;i giamai haueria cono&longs;ciute, ne con&longs;iderate. </s>

<s>Dapoi fra me <lb/>pen&longs;ando, che non puoco bia&longs;ino merita quel huomo, qual, ouer per &longs;cientia, ouer per &longs;ua <lb/>indu&longs;tria, ouer per &longs;orte ritroua qualche notabil particolarità, & chi &longs;olamente lui &longs;olo<emph.end type="italics"/><pb/><emph type="italics"/>ne uoglia e&longs;&longs;er po&longs;&longs;e&longs;&longs;ore, perche &longs;e tutti li no&longs;tri anciani il mede&longs;imo haue&longs;&longs;eno o&longs;&longs;er<lb/>uato, poco dalli animali irrationali al pre&longs;ente &longs;areßimo differenti adunque per non in<lb/>correre in que&longs;to bia&longs;imo. </s>

<s>Ho deliberato di uolere tai mei que&longs;iti, ouer inuentioni man<lb/>dar al tutto in luce, & per dar principio ad e&longs;&longs;equire tal mio bon uolere, ne ho raccolto <lb/>per al pre&longs;ente una parte da un mio memoriale nel qual &longs;empre per bona memoria tutti <lb/>li notabili, che me ueneuan &longs;atti de mia man notaua, & que&longs;ta parte la ho di&longs;tribuita in <lb/>nuoue libri di&longs;tinti &longs;econdo la qualità delle materie conforme de tai Que&longs;iti. </s>

<s>Dapoi ue<lb/>nendomi ad aricordare, che ragionando un giorno, con el no&longs;tro honorando compare, <lb/>me&longs;&longs;er Ricardo Ventuorth, gentil'huomo di uo&longs;tra Sacra Mae&longs;tà, elqual predicandomi <lb/>della Magnificentia, Magnanimità, Liberalità, Genero&longs;ità, Humanità, & Clemen<lb/>tia di uo&longs;tra Altezza, mi di&longs;&longs;e anchora, qualmente uo&longs;tra Cel&longs;itudine &longs;i dilettaua gran<lb/>damente di tutte le co&longs;e alla guerra ptrtinente. </s>

<s>Il che pen&longs;ando, ini ha datto ardire<emph.end type="italics"/><lb/>(Q<emph type="italics"/>uantunque in me non &longs;ia quella eloquentia, & ornato dire, che &longs;e rechiederia al<lb/>l'udito diuo&longs;tra Serenità) di douere tai mei Que&longs;iti, ouer interrogationi, conle &longs;ue ri<lb/>&longs;olute ri&longs;po&longs;te à quella offerire, & dedicare, non come co&longs;a conueniente à uo&longs;tra Subli<lb/>mità (perche in uero le co&longs;e di profondißima dottrina, narrate, & e&longs;plicate con elle<lb/>gante, & ter&longs;o &longs;tile, non potriano aggiungere al primo grado di uo&longs;tra altezza, non <lb/>che que&longs;te no&longs;tre, che &longs;ono co&longs;e Mechanice, e plebee, & &longs;imilmente dette. </s>

<s>& prononcia<lb/>te con rozzo & ba&longs;&longs;o &longs;tile.) Ma &longs;olamente come co&longs;e nuoue à quella le offeri&longs;co, & de<lb/>dico, come &longs;i co&longs;tuma à fare delli primi frutti, che al principio di &longs;ua &longs;tagione uengono <lb/>ritrouati, liquai<gap/> (anchor che &longs;iano alquanto immatturi, & di puoca &longs;o&longs;tantia, & men <lb/>&longs;apore) &longs;empre &longs;e &longs;ogliono appre&longs;entare à per&longs;one Magnifiche & &longs;ignorile, non per <lb/>la qualita della materia, ma per la nouità di quella, perche le co&longs;e nuoue naturalmente &longs;o<lb/>ghono aggradire al intelletto humano, & cio mi ha dato à credere, tai no&longs;tre inuentioni <lb/>non douere à uo&longs;tra Clementia in tutto di&longs;piacere anzi aggradirli alquanto, il che e&longs;&longs;en<lb/>do (come de&longs;idero) mi darà animo di douere per l'auenire piu oltra tentare, alli piedi <lb/>della quale, pro&longs;trato in terra con le man gionte, & capo chino humilmente mi racco<lb/>mando.<emph.end type="italics"/></s><pb pagenum="5"/>

<s>IL PRIMO LIBRO DELLI <lb/>QVESITI, ET INVENTIONI DIVERSE <lb/>DE NICOLO TARTAGLIA, <lb/>SOPRA GLI TIRI DELLE ARTIGLIERIE, <lb/>ET ALTRI SVOI VARII <lb/>ACCIDENTI.</s><figure></figure>

<s>QVESITO PRIMO FATTO DALL'ILLVSTRISS. <lb/>S<emph type="italics"/>ignor France&longs;co Maria Duca Eccellentißimo di Vrbino.<emph.end type="italics"/><lb/>L'A<emph type="italics"/>nno.<emph.end type="italics"/> M. D. XXXVIII. <lb/>IN VENETIA.</s>

<s>C<emph type="italics"/>he ragioni&longs;ono quelle che dicete hauer trouato, neluo<lb/>&longs;tro libro à me intitolato, &longs;opra al tirare delle artiglierie.<emph.end type="italics"/> NI<lb/>COLO. L<emph type="italics"/>a proportione, & ordine de i tiri lontani, & pro<lb/>pinqui di qual &longs;i uoglia pezzo, & con qual &longs;iuoglia &longs;orte di balla.<emph.end type="italics"/><lb/>S. D. I<emph type="italics"/>o non u'intendo parlatemi piu chiaro, & datemi un'eßem <lb/>pio.<emph.end type="italics"/> N. V<emph type="italics"/>olendo e&longs;&longs;emplificar que&longs;ta no&longs;tra inucntione à uo<lb/>stra Eccellentia, &longs;ono astretto à parlar prima di quello istrumen<lb/>to materiale, da noi ritrouato, figurato nel principio del detto no&longs;tro libretto à quella <lb/>intitolato: il qual i&longs;trumento è una &longs;quadra di legno, ouer di alcun mettallo fatta con di <lb/>ligentia, alla &longs;imilitudine della &longs;otto &longs;critta figura. </s>

<s>c. la quale ha interchiu&longs;o uno <lb/>quadrante, cioè una quarta parte di un cerchio, alla &longs;imiliuudine della figura. </s>

<s>g. k. <lb/>la qual figura, ouer quadrante. </s>

<s>&longs;i de&longs;criue con un compa&longs;&longs;o &longs;opra il centro. </s>

<s>h. <lb/>cioè ponendo il pede immobile del detto compa&longs;&longs;o, in el detto ponto. </s>

<s>h. (angolo intrin<lb/>&longs;lco di tal &longs;quadra, & l'altro piede mobile girandolo per. </s>

<s>i. g.<emph.end type="italics"/> k. <emph type="italics"/>formando il detto la<lb/>to curuo. </s>

<s>i. g.<emph.end type="italics"/> k. <emph type="italics"/>del detto quadrante, & dapoi re&longs;tringere alquanto el detto compaßo, <lb/>& de&longs;criuere un'altra linea curua, equidi&longs;tante alla prima, quale &longs;ia la linea. </s>

<s>et tut <lb/>to quel &longs;patio, che è fra que&longs;te due linee curue, cioè fra ellato curuo. </s>

<s>i. g.<emph.end type="italics"/> k. <emph type="italics"/>et la curua <lb/>e. </s>

<s>f. uuol e&longs;&longs;er diui&longs;o, prima in dodici parte equali, le quai diui&longs;ioni uogliono e&longs;&longs;er tirate <lb/>con una rega, che uenga dal ponto. </s>

<s>h. (centro del quadrante) à cia&longs;cheduna di dette di <lb/>ui&longs;toni, accioche cia&longs;cheduna diui&longs;tone ri&longs;guardi il detto centro. </s>

<s>h. come in la figura <lb/>appare, & que&longs;te dodici parte le chiameremo ponti.<emph.end type="italics"/></s><pb/><figure></figure>

<s>An<emph type="italics"/>chora cadauna di queste tai parti, ouero ponti uuol e&longs;&longs;er anchora diui&longs;a in'al<lb/>tre dodici parti equali, con il mede&longs;imo ordine, le qual diuifioni non ho uoluto <lb/>tirare in que&longs;ta figura piccola, perche generarebbeno confu&longs;ione, ma in una &longs;qua<lb/>dra di commune grandezza, co&longs;i, come ho detto, uuol e&longs;&longs;er diui&longs;a, tal che tutto il det<lb/>to quadr ante. </s>

<s>i. g.<emph.end type="italics"/> k. <emph type="italics"/>nenira à e&longs;&longs;er diui&longs;o in. </s>

<s>144. parti equali, le qual parti chia<lb/>meremo minuti, & questi minuti &longs;e &longs;egnano con lineette alquanto piu corte di quel<lb/>le delli ponti, perche &longs;ono poi piu facili da e&longs;&longs;er numerati per mezzo de i ponti (con <lb/>maggior lince depinti) per &longs;aper gia che ogni ponto contiene. </s>

<s>12. minuti. </s>

<s>Fatto que<lb/>sto bi&longs;ogna ficcare un pironcino di ferro, ouero di ottone preci&longs;amente in ponto. </s>

<s>h. <lb/>(centro del quadrante) & à quel tal pironcino attaccarui uno perpendicolo girabi<lb/>le, cioè uno fil di &longs;eta (ò d'altro) con uno piombino dacapo alla &longs;imilitudine del per<lb/>pendicolo. </s>

<s>d. & co&longs;i con tal i&longs;trumento habbiamo con&longs;iderato tutte le uarie po&longs;i<lb/>tioni, ouero elleuationi, che occorrer po&longs;&longs;a in qual &longs;i uoglia pezzo di artiglieria. </s>

<s>Et <lb/>la prima po&longs;itione di cadauno pezzo &longs;e intende quando, che quello è aliuello, cioè tal<lb/>mente a&longs;&longs;ettato, che ponendoui la gamba piu longa della detta no&longs;tra &longs;quadra in boc<lb/>ca di&longs;te&longs;a rettamente per el fondo del uacuo della canna, el per pendicolo ca&longs;chi preci<lb/>&longs;amente &longs;opra ellato. </s>

<s>h. f.<emph.end type="italics"/> k. <emph type="italics"/>del quadrante, come di &longs;otto appare nella prima figura, <lb/>Et &longs;imilmente uno pezzo &longs;e intende e&longs;&longs;er elleuato un ponto quando che quello &longs;ia tal<lb/>mente a&longs;&longs;ettato, che ponendoui la detta gamba piu longa della detta no&longs;tra &longs;quadra <lb/>in bocca di&longs;te&longs;a rettamente per el fondo del nacuo della canna (come prima) el per<lb/>pendicolo <expan abbr="ca&longs;chipreci&longs;am&etilde;te">ca&longs;chipreci&longs;amente</expan> &longs;u la diui&longs;ione del primo ponto, come di &longs;otto appar nel<lb/>la &longs;econda figura: Et co&longs;i un pezzo &longs;e intende e&longs;&longs;ere elleuato due ponti, quando che el <lb/>detto perpendicolo ca&longs;chi preci&longs;amente &longs;opra la diui&longs;tone del detto &longs;econdo ponto, & <lb/>co&longs;i al terzo quando ca&longs;cara &longs;opra la dim&longs;ion del terzo, el mede&longs;imo &longs;e intende del <lb/>quarto, quinto, & &longs;e&longs;to. </s>

<s>Et quando che uno pezzo è elleuato al &longs;e&longs;to ponto (cioè co-<emph.end type="italics"/><pb pagenum="6"/><emph type="italics"/>me di &longs;otto appare nella terza figura) &longs;e intende alla maggiore elleuatione, che elleuar <lb/>&longs;i po&longs;&longs;a.<emph.end type="italics"/> (D<emph type="italics"/>ico un pezzo d'artigliaria perche li mortari poi &longs;e po&longs;&longs;ono elleuare in <lb/>tutti li altri &longs;eguenti per fin al duodecimo ponto.<emph.end type="italics"/>) E<emph type="italics"/>t que&longs;to che habbiamo detto de i <lb/>ponti, &longs;e debbe anchora intendere de i minuti, cioè, che quando, che uno pezzo &longs;ia tal <lb/>mente elleuato, che el perpendicolo ca&longs;chi preci&longs;amente &longs;opra la diui&longs;ione del pri<lb/>mo minuto, cioè &longs;opra la duodecima parte del primo ponto, tal pezzo s'intende e&longs;<lb/>&longs;er elleuato uno minuto, & quando ca&longs;chara &longs;opra alli due minuti, s'intendera e&longs;&longs;ere <lb/>elleuato duoi minuti, il medefimo s'intendera de tutti li altri, per fin alla maggtor el<lb/>leuatione cioè alla clleuatione del &longs;e&longs;to <expan abbr="põto">ponto</expan>, ouero &longs;ettantadue minuti, come nella det<lb/>ta terza figura appare: Li altri minuti che &longs;eguita per fino in capo, &longs;ono per le elle<lb/>uationi di mortari.<emph.end type="italics"/><lb/><figure id="fig1"></figure><lb/><figure id="fig2"></figure></s><pb/><figure></figure>

<s>S. DVCA. C<emph type="italics"/>he uolete inferir per que&longs;to.<emph.end type="italics"/> N. P<emph type="italics"/>rimamente uoglio inferir que <lb/>&longs;to, che tirando un pezzo alla elleuatione del primo ponto, tir ara molto piu lontano di <lb/>quello che fara &longs;tando aliuello, & tirandolo alla elleuatione del &longs;econdo ponto, tirara <lb/>molto piu lontano di quello, che fara alla elleuatione del primo ponto, & co&longs;i alla elle<lb/>uatione del terzo ponto tirara piu lontano, che alla elleuatione del &longs;econdo, & co&longs;i alla <lb/>clleuation del quarto tirara anchora a&longs;&longs;ai piu lontano di quello, che fara alla elleuatio<lb/>ne del terzo, & &longs;imilmente alla elleuatione del quinto tirara alquanto piu, che alla elle <lb/>uatione del quarto, & co&longs;i alla ultima elleuatione, cioè al &longs;e&longs;to ponto, con balla di piom <lb/>bo tirara alquanto piu, che alla elleuation del quinto, ma poco piu, per che la ragion ne <lb/>dimostra, che que&longs;ti que tiri, cioè tirati al quinto, & &longs;e&longs;to ponto &longs;ono tanto uicini, o<lb/>uer tanto poco differenti, che ogni poco d'auantaggio, che &longs;i troua&longs;&longs;e nel quinto, ò per <lb/>uigor di poluere, ouer per altro, al detto quinto, &longs;e tiraria <expan abbr="tãto">tanto</expan>, quanto al &longs;e&longs;to, et for&longs;i <lb/>piu. </s>

<s>Et chi pote&longs;&longs;e elleuar tal pezzo come &longs;e fanno li mortari, cioè al &longs;ettimo ponto, <lb/>&longs;enza dubbio al detto &longs;ettimo ponto tirara alquanto manco, che al detto &longs;e&longs;to, & co&longs;i <lb/>all'ottauo pento tirara a&longs;&longs;ai manco, che al detto &longs;ettimo, & &longs;imilmente, al nono tirara <lb/>molto manco, che all'ottauo, & co&longs;i al decimo tirara molto manco, che al nono, et co&longs;i<emph.end type="italics"/><pb pagenum="7"/><emph type="italics"/>al undecimo, tirara molto manco, che al decimo, & &longs;imelmente al duodecimo, cioc al <lb/>ultimo ponto tirara molto e molto manco che al undecimo anci in tal ultima elleuatio<lb/>ne per ra&longs;on naturale la balla doueria retornar a dare preci&longs;amente nella bocca di tal <lb/>pezzo, ma per molti <expan abbr="accidti&etilde;">accidtiem</expan> che ui puo occorrere nel di&longs;ca<gap/>gar&longs;i, tal balla <expan abbr="nõ">non</expan> ui ritor <lb/>nara co&longs;i preci&longs;e, ma bennon andara a dare molto lontana dal detto pezzo.<emph.end type="italics"/> S. D. <lb/>E<emph type="italics"/>glie co&longs;a con&longs;onante qua&longs;i tutto quello che haueti detto, ma che uoleti inferire per <lb/>que&longs;to.<emph.end type="italics"/> N. V<emph type="italics"/>oglio &longs;econdariamente inferir que&longs;to, che noi habbiamo ritrouato in <lb/>che &longs;pecie di proportione, ouer ordine uanno augumentando li detti tiri in ogni elleua<lb/>tione, & non &longs;olamente a ponto per ponto della detta nostra &longs;quadra, ma anchora a mi <lb/>nuto per m<gap/>uto per fin alla elleuatione del &longs;e&longs;to ponto, ouer di. </s>

<s>72. minuti, & in ogni <lb/>&longs;orte balla, cioe di piombo, ferro, ouer di pietra. </s>

<s>Et &longs;imelmente chi pote&longs;&longs;e elleuare li <lb/>pezzi oltra al detto &longs;esto ponto (come &longs;e fanno li mortari) hauemo anchora ritrouato <lb/>in che proportione andaranno calando li &longs;uoi tiri, & non &longs;olamente a ponto per pon<lb/>to, ma anchora (come detto) a minuto per minuto per fin al fine di tutta la &longs;quadra, <lb/>cioe per fin in capo de tutti li 12. ponti, ouer. </s>

<s>144. minuti.<emph.end type="italics"/> S.D. Q<emph type="italics"/>ue co&longs;trutto &longs;e <lb/>puo cauar de tal uo&longs;tra inuentione.<emph.end type="italics"/> N. E<emph type="italics"/>l co&longs;trutto de tal inuentione è questo, che <lb/>per la notitia de un&longs;ol tiro di qual &longs;i uoglia pezzo, po&longs;&longs;o formar una tauola de tutti li <lb/>tiri che tirara quel tal pezzo in ogni elleuatione, cioe a ponto per ponto, et a minutop <lb/>minuto della no&longs;tra&longs;quadra, la qual tauola &longs;ara di tal <expan abbr="&longs;o&longs;tãtia">&longs;o&longs;tantia</expan>, ouer proprieta, che qua <lb/><expan abbr="l&utilde;que">lunque</expan> p&longs;ona la hauera a pre&longs;&longs;o di&longs;e, <expan abbr="nõ">non</expan> <expan abbr="&longs;olam&etilde;te">&longs;olamente</expan> &longs;apra tirare, ma &longs;apra far tirare ogni <lb/>gro&longs;&longs;o bombardero con tal &longs;orte pezzi di lontano quanti pa&longs;&longs;a li parira (pur che non <lb/>&longs;la piu lontano del maggior tiro di tal pezzo) & che non hauera la detta no&longs;tra tauo<lb/>la, non potra imparare alcuna particolarita di tal inuentione, ma tal &longs;ecreto re&longs;tara &longs;o <lb/>lamente a pre&longs;&longs;o di colui che hauera tal tauola, & non ad altri.<emph.end type="italics"/> S.D. M<emph type="italics"/>o &longs;i colui che <lb/>hauera tal uo&longs;tra tauola non uora tirare lui mede&longs;imo, ma uora far tirare aun'altra <lb/>&longs;econda per&longs;ond, non &longs;ara nece&longs;&longs;ario che tal &longs;econda per&longs;ona impari tal &longs;ecreto.<emph.end type="italics"/> N. <lb/>N<emph type="italics"/>on Signor Eccellentißimo, anci tal &longs;econda per&longs;ona re&longs;tara come restano li garzo<lb/>ni di &longs;peciari de medicine, li quali <expan abbr="continuam&etilde;te">continuamente</expan> <expan abbr="cõponeno">componeno</expan> medicine, <expan abbr="&longs;ecõdo">&longs;econdo</expan> che gli uen <lb/>gono or dmate dalli m<gap/>dici, & tamen mai impar ano a &longs;aper medicare.<emph.end type="italics"/> S.D. Q<emph type="italics"/>ue&longs;ta <lb/>mi pare una co&longs;a molto dura da credere, & tanto piu che nel no&longs;tro libretto (a me inti<lb/>tulato) uoi diceti che mai tira&longs;ti di artegliaria, ne di &longs;chioppo, & colui che &longs;a un giudi <lb/>cio di una co&longs;a, della quale nonhabbia ui&longs;to lo effetto, ouer i&longs;perientia, lamaggior par<lb/>te delle uolte &longs;e inganna, perche &longs;olamente l'occhio è quello che ne rende uera testimo<lb/>nianza delle co&longs;e immaginate.<emph.end type="italics"/> N. E<emph type="italics"/>glie benuero che il &longs;en&longs;o i&longs;teriore, ne dice la ue<lb/>rita nelle co&longs;e particolare, ma non nelle uniuer&longs;ale, perche le co&longs;e uniuer&longs;ale &longs;ono &longs;ot<lb/>topo&longs;te &longs;olamente al intelletto, & non ad alcun &longs;en&longs;o.<emph.end type="italics"/> S.D. B<emph type="italics"/>a&longs;ta &longs;e me faretiueder <lb/>que&longs;to (co&longs;a che non credo) el me parera un miracolo.<emph.end type="italics"/> N. T<emph type="italics"/>utte le co&longs;e che accade<lb/>no per natura, ouer per arte pareno de grande ammiratione, quando che di quelle non <lb/>&longs;i &longs;ala cau&longs;a, mapre&longs;to uo&longs;tra Eccellentia &longs;e ne potrachiarire, facendone far lai&longs;pe<lb/>rientia con un pezzo.<emph.end type="italics"/> S.D. V<emph type="italics"/>oglio andare per fina à Pe&longs;aro, &longs;ubito che &longs;ia ritor<lb/>nato, certo la uoglio uedere.<emph.end type="italics"/></s><pb/>

<s>QVESITO SECONDO FATTO <lb/><emph type="italics"/>dal mede&longs;imo Illust. </s>

<s>Duca con&longs;equentemente <lb/>al precedente.<emph.end type="italics"/></s>

<s>DVCA. M<emph type="italics"/>a ditemi un poco per qual uer&longs;o credete uoi che una <lb/>Artegliaria <lb/>fara maggior effetto, ouer pa&longs;&longs;ata nella co&longs;a doue &longs;e tira, tirandoui con quel<lb/>la aliuellata, ouer elleuata <expan abbr="dauãti">dauanti</expan>.<emph.end type="italics"/> N. </s>

<s>A <emph type="italics"/>uoler re&longs;oluere que&longs;to que&longs;ito &longs;enza repren <lb/>&longs;ione, egliè nece&longs;&longs;ario, che uo&longs;tra Eccellentia, me proponga tal que&longs;ito per e&longs;&longs;empio, <lb/>ouer figura, con la quantita della di&longs;tantia de tal Artegliaria, & la qualita del luoco <lb/>doue &longs;e tira.<emph.end type="italics"/> S.D. P<emph type="italics"/>ongo per <expan abbr="eß&etilde;pio">eßempio</expan>, che il mi occorre&longs;&longs;e di far battere una fortez<lb/>za che fu&longs;&longs;e in cima di una colina, ouer monticello, alto pa&longs;&longs;a. </s>

<s>60. & che lontano pa&longs;<lb/>&longs;a. </s>

<s>100. da quella tal colina, ouer monticello, ui fu&longs;&longs;e un'altra còlina, ouer monticel<lb/>lo, alto alla equalita di detta fortezza, cioè pur pa&longs;&longs;a. </s>

<s>60. (come di &longs;otto appare in <lb/>figura) & poniamo che &longs;opra la cima di que&longs;to &longs;econdo monticello, ui &longs;e pote&longs;&longs;e sta<lb/>re commodamente con la artegliaria à battere que&longs;ta tal fortezza, la quale arteglia<lb/>ria in tal luoco ueneria à tirare in quella retto tramite, cioè con la detta artegliaria <lb/>aliuellata (come di &longs;otto appare in figura) & poniamo anchora che tal fortezza, &longs;l <lb/>pote&longs;&longs;e commodamente battere &longs;tando con la artegliaria nel piano (cioè &longs;tando da <lb/>banda nel pie del detto &longs;econdo monticello in quella mede&longs;ima di&longs;tantia) cioè &longs;tando <lb/>lontano dal pie del monte, doue è la fortezza pur pa&longs;&longs;a. </s>

<s>100. nel qual luoco, la detta <lb/>artegliaria uerria à tirare in quella stante molto elleuata dauanti, cioè tiraria in quel<lb/>la di &longs;otto in &longs;u&longs;o (come di &longs;otto appare in figura.) Hor ue adimando, in qual luoco <lb/>pen&longs;ati che tale artegliaria faria maggiore effetto, ouer pa&longs;&longs;ata in detta fortezza,<emph.end type="italics"/><lb/><figure id="fig3"></figure><pb pagenum="8"/><emph type="italics"/>eioè &longs;tando in cima del detto monticello, ouer &longs;tando iui da banda nel pie di quello.<emph.end type="italics"/><lb/>N. S<emph type="italics"/>enza dubbio, che &longs;tando nel piano, cioè nel pie del monte, faria mag<lb/>giore effetto, ouer pa&longs;&longs;ata in detta fortezza, di quello faria &longs;tando nella &longs;ommita del <lb/>monte.<emph.end type="italics"/> S.D. E<emph type="italics"/>t lo giudicarei, & giudico e&longs;&longs;er tutto al <expan abbr="cõtrario">contrario</expan>, perche quelle che ti<lb/>raranno dalla &longs;ommita del monte &longs;aranno molto piu propinque alle muraglie di quel<lb/>la tal fortezza, di quello che &longs;aranno quelle che tirar anno dal pie del monte, & quan<lb/>to che la co&longs;a doue &longs;e tira è piu propinqua alla artegliaria, per ragion naturale, la <lb/>balla douria far maggiore effetto in lei.<emph.end type="italics"/> N. Q<emph type="italics"/><expan abbr="uãdo">uando</expan> che un'artegliaria tira&longs;&longs;e egual<lb/>mente per ogni uer&longs;o &longs;egueria quello, che dice uo&longs;tra Eccellentia. </s>

<s>Ma per efficace ra<lb/>gioni ritrouo tutto all'oppo&longs;ito, cioè che ogni &longs;orte di artegliaria nece&longs;&longs;ariamente ti<lb/>rara manco per line a retta, &longs;tante aliuellata di quello faria in qualunque altro modo <lb/>a&longs;&longs;ettata, o per dir meglio, che ogni &longs;orte di artegliaria nece&longs;&longs;ariamente tirara pile <lb/>per linea retta &longs;tante alquanto elleuata dauanti di quello fara &longs;tante quella à liuello, <lb/>& quanto piu &longs;tara elleuata tanto piu tirara per retta linea, il mede&longs;imo &longs;i debbe in<lb/>tendere e&longs;&longs;endo abba&longs;&longs;ata, cioè che molto piu tir ara per linea retta &longs;tante quella al<lb/>quanto abba&longs;&longs;ata dauanti, di quello fara &longs;tante à liuello, & quanto piu &longs;tara abba&longs;<lb/>&longs;ata, <expan abbr="tãto">tanto</expan> piu tirara per linea retta.<emph.end type="italics"/> S.D. Q<emph type="italics"/>ue&longs;to che uoi dite, me pare una co&longs;a mol<lb/>to &longs;trania da credere, cioè à dire, che una mede&longs;ima quantita, e po&longs;&longs;anza di poluere, <lb/>debbia &longs;pingere piu uigoro&longs;amente una mede&longs;ima grauita di balla, per un uer&longs;o, che <lb/>per un'altro, e pero haria à caro, che uoi me aßigna&longs;ti la ragione, e cau&longs;a di questa uo<lb/>&longs;tra openione.<emph.end type="italics"/> N. L<emph type="italics"/>a ragion di questo lo dimo&longs;tr amo (per li accidenti accadenti nelli <lb/>&longs;uoi tiri) nella ultima propo&longs;itione del Secondo libro della no&longs;tra nuoua &longs;cientia, ue<lb/>ro è, che in tal dimo&longs;tratione, non &longs;e a&longs;&longs;egna la cau&longs;a propinqua di tale effetto, la qual <lb/>co&longs;a in tal luoco pretermeßi, per non fa&longs;tidiar uostra Eccellentia, perche tal cau&longs;a <lb/>propinqua, &longs;e dimo&longs;tra con la &longs;cientia di pe&longs;i, la quale è una &longs;cientia di non poca &longs;pe<lb/>culatione, per e&longs;&longs;er quella &longs;ubalternata, &longs;i dalla Geometria, come dalla natural Filo<lb/>&longs;ophia. </s>

<s>Ma quando non &longs;ia graue à quella lo a&longs;coltarme, io mi sforzaro di dimostrar<lb/>la al pre&longs;ente.<emph.end type="italics"/> S.D. S<emph type="italics"/>eguitatipur, ma &longs;otto breuita.<emph.end type="italics"/> N. P<emph type="italics"/>er dimo&longs;trar que&longs;ta co&longs;a <lb/>rettamente &longs;ono astretto uolendo e&longs;&longs;ere inte&longs;o à <expan abbr="mãdare">mandare</expan> auanti la diffinitione de alcu<lb/>ni termini opportuni, etiam alcune &longs;uppo&longs;itioni, come &longs;i co&longs;tuma in cia&longs;cuna &longs;cientia, <lb/>& perche tutte le co&longs;e meglio &longs;e apprendono per e&longs;&longs;empio, che per parole. </s>

<s>Pongo <lb/>per e&longs;&longs;empio la libra, ouer bilanza.a.b. </s>

<s>con li dui brazzi.a.c. </s>

<s>eguali, & il <lb/>centro, &longs;opra del qual lei gira, &longs;ia il detto ponto.c.& nelle e&longs;tremita di detti dui braz<lb/>zi &longs;lano congionti dui corpi egualmente graui, li quali nominaremo dalle mede&longs;ime <lb/>lettere, cioè.a.&.b. </s>

<s>li quali dui corpi, per e&longs;&longs;ere eguali in grauita, dal pre&longs;uppo&longs;ito, <lb/>& appe&longs;i in longhezze eguali, cioè à gli detti dui brazzi.a.c.&.c.b. </s>

<s>della propo<lb/>&longs;ta libra, qual &longs;ouo &longs;ta &longs;uppo&longs;ti e&longs;&longs;ere egualmente longhi, per la prima petitione adut<gap/><lb/>ta da Archimede, nel libro che fa del centro della grauita, quelli inclinar anno egual<lb/>mente, cioè che &longs;taranno in equilibra, come di &longs;otto appare in figura.<emph.end type="italics"/></s><pb/><figure></figure>

<s>An<emph type="italics"/>chora &longs;ta de&longs;critto &longs;opra il centro.c.un cerchio, &longs;econdo la quantita dell'u<lb/>no di brazzi della libra, ouer bilanza qual &longs;la il cerchio.e.a.f.b. </s>

<s>la circonfe<lb/>rentia del quale &longs;upponeremo per il uiaggio che fariano li centri di detti corpi, gi<lb/>rando à torno la detta bilanza &longs;opra il &longs;uo centro.c.<emph.end type="italics"/></s>

<s>D<emph type="italics"/>iffinitione Prima.<emph.end type="italics"/></s>

<s>S<emph type="italics"/>tando adunque li detti dui corpi in equilibra, come in figura appare, in tal luoco <lb/>li detti dui corpi, &longs;e dicono e&longs;&longs;er nel &longs;ito della equalita.<emph.end type="italics"/></s>

<s>D<emph type="italics"/>iffinitione Seconda.<emph.end type="italics"/></s>

<s>A<emph type="italics"/>nchor tirando dalla &longs;ommita una perpendicolare pa&longs;&longs;ante per il centro. </s>

<s>c. <lb/>(quala &longs;ia la linea.e.c.f.) tal linea uien detta la linea della direttione.<emph.end type="italics"/></s><figure></figure>

<s>S<emph type="italics"/>uppo&longs;itione Prima.<emph.end type="italics"/></s>

<s>An<emph type="italics"/>chora bi&longs;ogna notare qualmente un corpo graue &longs;e &longs;uppone e&longs;&longs;er tanto piu <lb/>graue, nel luoco doue &longs;e ritroua quanto che il di&longs;cender di quello è manco obli<lb/>quo, cicè manco curuo, in el mede&longs;imo &longs;ito, ouer luoco. </s>

<s>Lo e&longs;&longs;empto di que&longs;ta &longs;uppo<lb/>&longs;itione &longs;e adura nella &longs;eguente figuratione.<emph.end type="italics"/></s>

<s>S<emph type="italics"/>uppo&longs;itione Seconda.<emph.end type="italics"/></s>

<s>E<emph type="italics"/>t il di&longs;cender d'un corpo graue, &longs;e &longs;uppone e&longs;&longs;er tanto piu obliquo, quanto che <lb/>nel &longs;uo di&longs;cender capi&longs;&longs;e manco del diretto, in mede&longs;ima quantita, cioe che capi&longs;&longs;e man <lb/>co parte della linea della direttione, ouer di una altra a quella equidi&longs;tante, in la mede<lb/>&longs;ima quanlita, cioe in mede&longs;ima quantita di cir conferentia del cerchio doue gir<gap/>, ouer <lb/>ua, & que&longs;to nella figuration &longs;equente meglio &longs;e intendera.<emph.end type="italics"/></s><pb pagenum="9"/>

<s>Sv<emph type="italics"/>pposte adunque le &longs;opradette &longs;uppo&longs;itione, adduco questa propo&longs;itione, & dico <lb/>che ogni librato pe&longs;o partendo&longs;l dal &longs;ito, ouer luoco della equalita, quel &longs;i fa piu le <lb/>ue, & tanto piu quanto piu &longs;ara lontano dal detto luoco della equalita. </s>

<s>Et per e&longs;&longs;eme <lb/>pio di questa propo&longs;itione &longs;ia la libra.a.b. (della figura precedente) girabile &longs;opra el <lb/>detto centro.c. </s>

<s>con li dui mede&longs;imi corpi.a.&.b. (equali) appe&longs;i, ouer congionti alle <lb/>due e&longs;tremita di ambi dui li brazzi della detta libra, & &longs;tiano nel mede&longs;imo &longs;ito della <lb/>equalita (come di &longs;opra fu &longs;uppo&longs;to) hor dico, che remouando l'uno, & l'altro de detti <lb/>corpi dal detto &longs;ito della equalita (cioè arba&longs;&longs;andone uno, & elleuando l'altro) l'uno, <lb/>e l'altro de quelli &longs;ara fatto piu leue &longs;econdo el luoco, & tanto piu leui, quanto che piu <lb/>&longs;aranno allontanati dal detto luoco della equalita. </s>

<s>Et per dimo&longs;trar que&longs;to &longs;ia arba&longs;&longs;a <lb/>to el corpo.a. (della detta figura precedente) per fina al <expan abbr="põto">ponto</expan>.u. (come nella &longs;otto &longs;crit <lb/>ta figura appare, & l'altro &longs;uo oppo&longs;ito (cioè el corpo.b.) uerra à e&longs;&longs;er&longs;e elleuato per <lb/>in fina al ponto.i.& &longs;ia diui&longs;o l'uno, e l'altro di dui archi.a.u.&.i.b. </s>

<s>in quante parti <lb/>&longs;i uoglia, equale hor poniamo l'uno, e l'altro in trei parti equali in li ponti. </s>

<s>l.n.et.q.&longs;. <lb/>& dalli trei ponti.n.l.i.&longs;iano tirate le tre linee.n.o.l.m.&.i.<emph.end type="italics"/>k <emph type="italics"/>equidi&longs;tante al diame<lb/>tro.b.a.le quale &longs;egarano la linea.e.f.della direttione nelli trei ponti.z.y.x.&longs;imelmen <lb/>te dalli trei ponti.q.s.u. </s>

<s>&longs;iano tirate le tre linee.q.p.s.r. </s>

<s>&.u.t.pur equidi&longs;tante alla <lb/>medema linea.a.b. </s>

<s>le quale &longs;egarano la medema linea della direttione nelli tre ponti, <lb/>&.<36><gap/>. </s>

<s>Onde per queste co&longs;e co&longs;i de&longs;po&longs;ite ueniremo ad hauer diui&longs;o tutto el decen&longs;o <lb/>a.u.fatto dal detto corpo.a.nel di&longs;cender in ponto.u.in trei decen&longs;i, ouer parti equa<lb/>li, le quale &longs;ono.a.q.q.s.&.s.u. </s>

<s>Et &longs;imelmente tutto el decen&longs;o.i.b. </s>

<s>qual faria el detto <lb/>corpo.b. </s>

<s>nel di&longs;cendere, ouer ritornare al &longs;uo primo luoco (cioè in ponto.b.) uerra à e&longs; <lb/>&longs;er diui&longs;o in trei decen&longs;i, ouer in tre parti equali, le quali &longs;ono.i.l.l.n.&.n.b.& cadau <lb/>no de que&longs;ti tre, & tre partiai decen&longs;i capi&longs;&longs;e una parte della linea della direttione, <lb/>cioè el decen&longs;o dal.a.al.q. </s>

<s>piglia, ouer capi&longs;&longs;e dalla linea della direttione la parte.c.&. <lb/>lo decen&longs;o.q.s.piglia, ouer capi&longs;&longs;e la parte, &.<36>. </s>

<s>& lo decen&longs;o.s.u. </s>

<s>capi&longs;&longs;e la parte <36>. <lb/><gap/>.& perche la parte.c.&. </s>

<s>emaggiore della parte.&.<36>. (come facilmente geometri <lb/>ce &longs;e puo prouare) onde (per la &longs;econda &longs;uppo&longs;itione) el decen&longs;o.q.s. </s>

<s>uerra à e&longs;&longs;er piu <lb/>obliquo del decen&longs;o.a.q. </s>

<s>onde piu leue &longs;ara el detto corpo.a. (per la &longs;uppo&longs;itione) &longs;tan <lb/>te quello in ponto. </s>

<s>q di quello &longs;ara, &longs;tante quello in ponto.a. </s>

<s>Simelmente perche la par <lb/>te.<36>.<gap/>. (della linea della direttione) è menore della parte. </s>

<s>el decen&longs;o.s.u. (per la <lb/>mede&longs;ima &longs;econda &longs;uppo&longs;itione &longs;ara piu obliquo del decen&longs;o.q.s.& con&longs;equentemen<lb/>te) per la prima &longs;uppo&longs;itione piu leue &longs;ara el detto corpo.a &longs;tante quello in ponto.s. </s>

<s>di <lb/>quello &longs;ara&longs;tante in ponto.q. </s>

<s>Et tutto que&longs;to, & per li mede&longs;imi modi &longs;e demo&longs;trara <lb/>nella oppo&longs;ita parte del corpo.b. </s>

<s>cioè chel decen&longs;o di quello dal ponto.i. </s>

<s>al ponto. </s>

<s>l. è <lb/>piu obliquo di quello, che è dal ponto.l. </s>

<s>al ponto.n. (per la detta &longs;econda &longs;uppo&longs;itione) <lb/>perche la parte.x.y. </s>

<s>che capi&longs;&longs;e della linea della direttione, è menore della parte y.z. <lb/>onde per la detta prima &longs;uppo&longs;itione piu leue &longs;ara el detto corpo &longs;tante quello in pon<lb/>to.i.di quello &longs;ara &longs;tante quello in ponto.l. </s>

<s>& per le mede&longs;ime ragioni piu leue &longs;ara <lb/>&longs;tante quello in ponto.l.di quello &longs;ara &longs;tante in ponto.n. </s>

<s>& &longs;imelmente piu leue &longs;ara <lb/><expan abbr="stãte">stante</expan> in <expan abbr="põto">ponto</expan>.n. </s>

<s>di quello &longs;ara &longs;tante in <expan abbr="põto">ponto</expan>.b. (&longs;ito della equalita) che è il propo&longs;ito.<emph.end type="italics"/></s><pb/><figure></figure>

<s>S. DVCA. C<emph type="italics"/>he uoleti inferir per que&longs;to.<emph.end type="italics"/> N. V<emph type="italics"/>oglio inferir que&longs;to, che ogni arti <lb/>gliaria e&longs;&longs;endo aliuellata, la &longs;e intende e&longs;&longs;er nel &longs;ito della equalita, & la balla tirata da <lb/>quella, in tal &longs;ito u&longs;ci&longs;&longs;e del pezzo piu graue, che in qualunque altro modo elleuata, <lb/>ouer &longs;eparata da quel &longs;ito della equalita (per le ragioni di &longs;opra adutte) e pero in tal <lb/>&longs;ito la balla ua con piu difficultà, & molto piu pre&longs;to comincia à declinar al ba&longs;&longs;o, cioè <lb/>uer&longs;o terra, & in maggior quantita lei ua declinando, che in qualunque altro modo el <lb/>leuata, cioè che lei ua (come fra bombardieri&longs;e dice) molto manco per linea retta, che <lb/>in qualunque altro modo elleuata, e pero li effetti di tiri fatti in tal &longs;ito &longs;aranno men ui <lb/>goro&longs;i, ouer di menor effetto, che in qualunque altro uer&longs;o. </s>

<s>Vero è, che uo&longs;tra Eccellen <lb/>tia potria dire, & ragioneuolmente, per que&longs;te tue ragioni &longs;on chiaro, che in di&longs;tantia <lb/>equale lei fara <expan abbr="mãco">manco</expan> effetto, ma in distantie inequale re&longs;to dubbio&longs;o, perche nel no&longs;tro <lb/>Que&longs;ito &longs;i uede, che quelle artegliarie, che &longs;ono nel piano, ouer nel pie del monte, &longs;ono <lb/>molto piu di&longs;tante, dalla fortezza, di quelle, che &longs;on nella &longs;ommita del monte, talmente <lb/>che tal differentia potria e&longs;&longs;er molto maggiore della differentia del &longs;uo tirar per li<lb/>nea retta, ouer della differentia de &longs;uoi effetti in di&longs;tantie equale, & e&longs;&longs;endo co&longs;i quelle <lb/>de la &longs;ommita del monte, uerriano à far maggior effetto, di quelle po&longs;te in piano, cir<lb/>ca al qual dubbio ri&longs;pondo, che gliè ben uero, che la di&longs;tantia di quelle, che &longs;tano in pia <lb/>no, potria e&longs;&longs;er alle uolte tanto grandemente differente da quella, di quelle, che &longs;ono ne <lb/>la &longs;ommita del monte, che &longs;eguiria quello, che di &longs;opra hauemo detto, ouer dubitato.<emph.end type="italics"/><lb/>S.D. D<emph type="italics"/>atime <expan abbr="un'eß&etilde;pio">un'eßempio</expan> in figura, &longs;e uoleti, che ue intenda.<emph.end type="italics"/> N. P<emph type="italics"/>er uoler e&longs;&longs;emplifi <lb/>care figuralmente que&longs;ta co&longs;a &longs;upponeremo una colobrina da lire. </s>

<s>20. di balla, laqual <lb/>colobrina (per quella &longs;perientia, che fu fatta à Verona, narrata nel principio della no <lb/>&longs;tra noua &longs;cientia à uo&longs;tra Eccellentia) io trouo, che tal colobrina nel &longs;ito della equali<lb/>ta (cioè &longs;tando aliuellata) tirara de mira, ouer per linea retta circa pa&longs;&longs;a. </s>

<s>200. & alla <lb/>elleuatione de. </s>

<s>45. gradi, cioè al &longs;e&longs;to ponto, ouer alli. </s>

<s>72. minuti della no&longs;tra &longs;quadra <lb/>tal colobrina (per le ragioni adutte nella ultima propo&longs;itione del <expan abbr="&longs;ecõdo">&longs;econdo</expan> libro della no <lb/>stra noua &longs;cientia) tirara de mira, ouer per linea retta, in quel uer&longs;o, circa pa&longs;&longs;a.<emph.end type="italics"/> 800. <lb/>S.D A<emph type="italics"/>dunque <expan abbr="tirãdo">tirando</expan> la detta colobrina à tal elleuatione tirara circa pa&longs;&longs;a. </s>

<s>800. per <lb/>linea retta, & tirandola poi aliuellata, non tirara &longs;aluo che circa pa&longs;&longs;a.<emph.end type="italics"/> 200 N. C<emph type="italics"/>o <lb/>&longs;i ne afferma la ragione.<emph.end type="italics"/> S.D. L<emph type="italics"/>a me pare una grah differentia.<emph.end type="italics"/> N. Q<emph type="italics"/>uesto pro<lb/>cede per e&longs;&longs;er anchora tal ellcuatione molto differente dal &longs;ito della equalita, perche &longs;e<emph.end type="italics"/><pb pagenum="10"/><emph type="italics"/>condo che la &longs;i ua elleuando de minuto in minuto, co&longs;i de minuto in minuto lei ua ancho <lb/>ra augumentando il &longs;uo tirar per linea retta, il mede&longs;imo fara etiam nelli ponti, & in <lb/>maggior quantita, cioè, che elleuata al primo ponto della &longs;quadra tirara molto piu <lb/>per linea retta, di quello fara nel &longs;ito della equalita, cioè aliuellata, & elleuata poi al &longs;e <lb/>condo ponto di detta &longs;quadra, molto piu tirara per linea retta, di quello fara elleuata al <lb/>primo ponto, & co&longs;i elleuata al terzo ponto, tirara piu pur per linea retta, di quello <lb/>fara al &longs;econdo, & co&longs;i &longs;ucceßiuamente al quarto, tirara piu, che al terzo & al quin<lb/>to piu che al quarto, & al &longs;e&longs;to (detto di &longs;opra) tirara piu che al quinto, & &longs;e piu ol<lb/>tra la &longs;i pote&longs;&longs;e elleuare gradatamante andaria augumentando il &longs;uo tirare per linea <lb/>retta, cioè, che al. </s>

<s>7. ponto, tirara piu per linea retta, che al. </s>

<s>11. & à que&longs;to. </s>

<s>12. tutto il &longs;uo tiro &longs;ara per linea retta, perche &longs;ara perpendicola<lb/>re &longs;opra all'orizonte, & que&longs;to tale &longs;ara piu perfettamente retto de cadauno delli an<lb/>teditti, perche in uero il tran&longs;ito, ouer moto uiolente d'un corpo egualmente graue, <lb/>che &longs;ia fora della perpendicolar del orizonte, mai pol hauere alcuna parte, che &longs;ia per <lb/>fettamente retta (come fu detto &longs;opra la &longs;econda &longs;uppo&longs;itione del &longs;econdo libro della <lb/>no&longs;tra noua &longs;cientia.<emph.end type="italics"/> S.D. P<emph type="italics"/>erche diceti adunque per linea retta, non e&longs;&longs;endo per<lb/>fettamente retta.<emph.end type="italics"/> N. P<emph type="italics"/>er e&longs;&longs;er inte&longs;o dal uolgo, perche quella parte, che è qua&longs;i in<lb/>&longs;en&longs;ibelmente curua, la chiamamo retta, & quella che è euidentamente curua, li dico<lb/>no curua.<emph.end type="italics"/> S.D. S<emph type="italics"/>eguitati.<emph.end type="italics"/> N. H<emph type="italics"/>or per ritornare al no&longs;tro propo&longs;ito, dico adun<lb/>que, che &longs;e la altezza della predetta &longs;ortezza fo&longs;&longs;e tanta, che da quella à le arteglia<lb/>rie, che fu&longs;&longs;eno nel piano del monte, fu&longs;&longs;e. </s>

<s>760. pa&longs;&longs;a, & che dalla medema fortezza <lb/>à quelle artegliarie, che fu&longs;&longs;eno nella &longs;ummita del monte, fu&longs;&longs;e &longs;olamente pa&longs;&longs;a. </s>

<s>130. in <lb/>questo ca&longs;o dico, che la &longs;opra detta colobrina faria mazzor effetto nelle muraglie di <lb/>detta fortezza, stante quella ne la &longs;ommita del monte, di quello faria, &longs;tante nel pie dil <lb/>monte. </s>

<s>La cau&longs;a è, perche la detta colobrina (&longs;tante aliuellata) tira circa pa&longs;&longs;a. </s>

<s>200. <lb/>per linea retta (come di &longs;opra fu detto) E&longs;&longs;endo adunque da quella à la muraglia pa&longs;<lb/>&longs;a. </s>

<s>130. (come fu &longs;upposto) lei ueneria à percuotere ne la detta muraglia circa per. </s>

<s>70. <lb/>pa&longs;&longs;a auanti al termine dil &longs;uo andar per linea retta: Ma &longs;tante quella nel pie dil mon<lb/>te (dal qual luoco alla detta muraglia è &longs;ta &longs;uppo&longs;to e&longs;&longs;er diametralmente pa&longs;&longs;a. </s>

<s>760.) <lb/>& elleuandola alla elleuatione de. </s>

<s>45. gradi (cioè al. </s>

<s>6. ponto della no&longs;tra &longs;quadra) ti<lb/>rara circa pa&longs;&longs;a. </s>

<s>800. per linea retta (come di &longs;oprafu detto) onde lei ueneria à per<lb/>cuotere nella detta muraglia &longs;olamente circa per pa&longs;&longs;a. </s>

<s>40. auanti il termine del &longs;uo <lb/>andar per linea retta, cioè auanti la &longs;ua &longs;en&longs;ibil declinatione. </s>

<s>Et perche quella balla che <lb/>nel &longs;uo percotere hauera à tran&longs;ire per piu longo &longs;patio (non trouando re&longs;i&longs;tcntta) fa <lb/>ra maggior effetto in tal re&longs;istente (per le ragioni adutte &longs;opra la. </s>

<s>4. propo&longs;itione del <lb/>primo libro della no&longs;tra noua &longs;cientia) perche adunque la halla tirata da la &longs;ommita <lb/>del monte nel &longs;uo percottere haueria anchora à andare pa&longs;&longs;a. </s>

<s>70. per linea retta. </s>

<s>Et <lb/>quella tirata dal piano, nel &longs;uo percottere haueria à procedere &longs;olamente pa&longs;&longs;a. </s>

<s>40. <lb/>per linea retta, & per que&longs;te ragiom &longs;e <expan abbr="cõchiuderia">conchiuderia</expan> in tal ca&longs;o, che maggior effetto fa <lb/>ria la detta colobrina in detta muraglia, &longs;tante quella ne la &longs;ommita del monte di quel<lb/>lo faria &longs;tante nel piano, ouero pie dil monte alla elleuatione del detto. </s>

<s>6 ponto della<emph.end type="italics"/><pb/><emph type="italics"/>no&longs;tra &longs;quadra), & &longs;e alla detta elleuatione dil. </s>

<s>6. ponto lei fara manco effetto, molto <lb/>meno lei lo faria ad alcuna altra piu ba&longs;&longs;a elleuatione. </s>

<s>Ma &longs;e per ca&longs;o la distantia de <lb/>detta fortezza alle artegliarie, che fu&longs;&longs;eno nel piano fu&longs;&longs;e pa&longs;&longs;a. </s>

<s>600. cioè diametral<lb/>mente, & che dalla medema à quelle che fu&longs;&longs;eno nella &longs;ommita del monte fu&longs;&longs;e pa&longs;&longs;a <lb/>150. in tal ca&longs;o dico, che la detta colobrina fara molto maggiore effetto nella detta mu <lb/>raglia stante nel piano (ouer pie dil monte alla elleuatione del detto. </s>

<s>6. ponto.) di quel<lb/>lo faria &longs;tante nella &longs;ommita del monte, perche stante nel piano le balle tirate da quel<lb/>ia ueniranno à percuottere nella detta muraglia circa à pa&longs;&longs;a. </s>

<s>200. auanti il termine <lb/>dil &longs;uo procedere per linea retta, Et quelle tirate dalla &longs;ommita del monte ueneriano <lb/>à percuotere &longs;olamente à pa&longs;&longs;a. </s>

<s>50. auanti al termine del &longs;uo andar per linea retta, & <lb/>perche la differentia de detti effetti, cioè dalli. </s>

<s>50. pa&longs;&longs;a, alli. </s>

<s>200. (che feri&longs;cono <expan abbr="auã">auam</expan> <lb/>ti la &longs;ua &longs;en&longs;ibel declinatione) è circa pa&longs;&longs;a. </s>

<s>150. e per tanto la detta colobrina non &longs;o<lb/>lamente alla elleuatione del &longs;e&longs;to ponto della no&longs;tra &longs;quadra ma anchora alla elleuatio<lb/>ne del quinto ponto, fara maggior el detto effetto: ma di que&longs;to non uoglio star à far<lb/>ne dimo&longs;tratione, perche &longs;o che ueneria in fa&longs;tidio à quella. </s>

<s>Adunque, &longs;e in una co&longs;t <lb/>grande altezza (quala in que&longs;to ultimo ca&longs;o hauemo &longs;uppo&longs;ta) la detta colobrina fa<lb/>ria maggior effetto (stante quella nel piano alla elleuatione del. </s>

<s>6. & etiam del. </s>

<s>5. pon<lb/>to) di quello faria &longs;tante la medema nella &longs;ommita del monte, molto piu euidentamen<lb/>te &longs;eguiria tal effetto nel primo ca&longs;o propo&longs;to da<emph.end type="italics"/> V. E<emph type="italics"/>c. </s>

<s>nel quale fu &longs;uppo&longs;to il <expan abbr="mõte">monte</expan>, <lb/>et etiam la fortezza, e&longs;&longs;ere egualmente alti &longs;olamente pa&longs;&longs;a. </s>

<s>60. & la di&longs;tantia delle <lb/>radice delli dui monti, ouer le cime de quelli e&longs;&longs;er pa&longs;&longs;a. </s>

<s>100. onde la linea diametrale, <lb/>ouer diagonale, cioè la distantia de detta fortezza al luoco à co&longs;to alla radice del mon <lb/>te, doue &longs;e &longs;uppone el &longs;tar delle artegliarie in piano, per la penultima del primo di Eu<lb/>clide &longs;ara circa pa&longs;&longs;a. </s>

<s>116. (la&longs;&longs;ando li rotti) è per tanto, le balle tirate dalla detta no<lb/>&longs;tra colobrina, &longs;tante quella nella &longs;ommita del monte, ueriano à percuottere nella det<lb/>ta muraglia circa à pa&longs;&longs;a. </s>

<s>140. auanti al termine del &longs;uo procedere per linea retta, & <lb/>quelle tirate dalla mede&longs;ima &longs;tante quella nel piano alla elleuatione del. </s>

<s>6. ponto uene<lb/>riano à percottere nella detta mur aglia, circapa&longs;&longs;a. </s>

<s>684. auanti al termine del &longs;uo an <lb/>dar per linea retta, & perche tal differentia è grandißima, cioè da. </s>

<s>140. pa&longs;&longs;a à. </s>

<s>684. <lb/>pa&longs;&longs;a, che feri&longs;cono auanti al termine del &longs;uo andar per linea retta. </s>

<s>Eglie co&longs;a euiden<lb/>te, e chiara, in que&longs;to ca&longs;o, che non &longs;olamente alla elleuatione del. </s>

<s>6. ponto, la detta colo <lb/>brina &longs;tante nel pie del monte, fara maggior effetto in detta fortezza di quello faria <lb/>&longs;tante nella &longs;ommita. </s>

<s>Ma anchora alla elleuatione di qual &longs;iuoglia ponto, che &longs;ia elleua <lb/>ta, che è il propo&longs;ito.<emph.end type="italics"/> S.D. M<emph type="italics"/>e haueti ri&longs;olto a&longs;&longs;ai bene que&longs;to Que&longs;ito.<emph.end type="italics"/></s>

<s>QVESITO TERZO FATTO DAL MEDESIMO <lb/>I<emph type="italics"/>llu&longs;trißimo Signor Duca con&longs;equentemente.<emph.end type="italics"/></s>

<s>DVCA. M<emph type="italics"/>a nel uo&longs;tro arguire me haueti reduto in un'altra maggior <lb/>difficul<lb/>ta, ouer dubitatione <21>che &longs;e <expan abbr="b&etilde;">bem</expan> ui aricordati, haueti detto, che la balla sboccata <lb/>che &longs;ia d'un pezzo maiua parte alcuna del &longs;uo motto <21> linea retta, &longs;aluo che <expan abbr="tirãdola">tirandola</expan> <lb/><expan abbr="rettam&etilde;te">rettamente</expan> in &longs;u&longs;o uer&longs;o il cielo.<emph.end type="italics"/> N. O<emph type="italics"/>uer <expan abbr="rettam&etilde;te">rettamente</expan> in zo&longs;o uer&longs;o il centro dil <expan abbr="mõdo">mondo</expan>?<emph.end type="italics"/><pb pagenum="11"/>S.D. Q<emph type="italics"/>ue&longs;to ui <expan abbr="cõcedo">concedo</expan> ben, cioe che <expan abbr="tirãdo">tirando</expan> o <expan abbr="rettam&etilde;te">rettamente</expan> in &longs;u&longs;o uer&longs;o il cielo, ouer retta <lb/>mente in zo&longs;o uer&longs;o il centro del mondo, che il tran&longs;ito, ouer moto di tal balla, &longs;ia total <lb/>mente retto, & anchora ui concedo che in tai dui uer&longs;i tal balla uada molto piu per li<lb/>nea retta che in qual &longs;iuoglia altra elleuatione, ouer in qual &longs;i uoglia altro uer&longs;o. </s>

<s>Ma <lb/>che in ogni altro uer&longs;o delli detti dui in fuora la non uada parte alcuna del &longs;uo moto ret <lb/>tamente, cioe per retta lunea, la non mi pare co&longs;a da credere, ne io la credo, perche &longs;e <lb/>ben ue aricordati di &longs;opra dice&longs;ti che per quelli dui tiri a Verona tirati, uoi troua&longs;ti <lb/>che la detta colobrina da lire. </s>

<s>20. tiraua de mira, cioe per retta linea in quanto al &longs;en<lb/>&longs;o, circa pa&longs;&longs;a. </s>

<s>200. e&longs;&longs;endo aliuellata, hor &longs;e tal tramito de pa&longs;&longs;a. </s>

<s>200. uoi trouati <lb/>poi con ragione non e&longs;&longs;er totalmente retto, cioe totalmente per linea retta, io uel cre<lb/>do, et uel concedo. </s>

<s>Ma &longs;e tal pezzo non puol tirare per retta linea li detti pa&longs;&longs;a. </s>

<s>200. <lb/>non uoleti concedere che una tal machina ne tiri al manco la mita, cioe pa&longs;&longs;a. </s>

<s>100. & <lb/>&longs;e non. </s>

<s>100. al men.<emph.end type="italics"/> 50. N. N<emph type="italics"/>on &longs;olamente la non tirara li detti pa&longs;&longs;a. </s>

<s>50. per linea <lb/>perfettamente retta, ma la non tirara un pa&longs;&longs;o &longs;olo.<emph.end type="italics"/> S.D. E<emph type="italics"/>glie una pacia la uo&longs;tra.<emph.end type="italics"/><lb/>N. L<emph type="italics"/>a ragione è quella che acquieta lo intelletto delli huomini, per che quella, ne di<lb/>&longs;cerne il uero dal fal&longs;o.<emph.end type="italics"/> S.D. E<emph type="italics"/>glie il uero.<emph.end type="italics"/> N. D<emph type="italics"/>apoi adunque che la opinione di <lb/>uo&longs;tra Eccellentia è che la balla tirata da tal colobrina aliuellata, debbia andare una <lb/>parte del &longs;uo tran&longs;ito, ouer moto uiolente per linea retta, & il re&longs;tante poi per linea <lb/>curua &longs;tante che que&longs;to fu&longs;&longs;e il uero, uoria &longs;apere da quella, qual è la cau&longs;a propria <lb/>che tal balla uada co&longs;i per linea retta, in quella parte, doue che quella &longs;uppone che uada <lb/>co&longs;i rettamente, & quala &longs;ia mede&longs;imamente la cau&longs;a che lei uada co&longs;i per linea curua, <lb/>in quella parte, doue &longs;uppone uostra Eccellentia che uada co&longs;i curuamente.<emph.end type="italics"/> S.D. L<emph type="italics"/>a <lb/>grandißima uelocita che &longs;e ritroua nel moto di tal balla, nel u&longs;cir della bocca del pez<lb/>zo è la propria cau&longs;a che tal balla per un poco di tempo, ouer &longs;pacio uada rettamen<lb/>te per aere, ma dapoi mancando alquanto in quella il uigore, & la uelocita comincia <lb/>pói ad alentar&longs;e & ad abba&longs;&longs;ar&longs;e &longs;ucceßiuamente uer&longs;o terra, & co&longs;i ua continuando <lb/>per fin che percuote &longs;opra quella.<emph.end type="italics"/> N. C<emph type="italics"/>ertamente uo&longs;tra Eccellentia non potea ri<lb/>&longs;ponder meglio di quello ha ri&longs;po&longs;to, cioe a dire che la gran uelocita è la propria cau<lb/>&longs;a, di redure il moto di tal balla (&longs;e poßibil è) alla rettitudine, & &longs;imilmente, il mancar <lb/>della uelocita in quella, e la propria cau&longs;a di farla tendere & declinare nel &longs;uo moto <lb/>curuamente uer&longs;o terra, & quanto piu ua mancando in quella la detta uelocita, tanto <lb/>piu fa maggiore la &longs;ua declinatione, ouer curuita, & tutto que&longs;to procede, perche ogni <lb/>corpo graue &longs;pinto uiolentemente per acre, quanto piu ua ueloce, tanto piu in tal mo<lb/>to &longs;e fa men graue, e pero ua piu rettamente per aere, perche lo aere piu facilmente &longs;o<lb/>stenta un corpo quanto piu eglie leue, tamen nel far di &longs;uoi effetti in tal moto a&longs;&longs;um<lb/>me molto maggior grauita della &longs;ua propria, e pero quanto piu un corpo graue ua ue<lb/>loce (nel moto uiolente) tanto maggior effetto fa in ogni re&longs;i&longs;tente. </s>

<s>Similmente quan<lb/>to piu ua mancando in quello la uelocita, tanto piu in tal moto gli ua cre&longs;cendo la gra<lb/>uita, la qual grauita, continuamente lo ua &longs;timulando, & tirando uer&longs;o terra. </s>

<s>Ma nel <lb/>far de &longs;uoi effetti in tal moto a&longs;&longs;umme maggior leuita, ouer minor grauita, e pero fa <lb/>minor effetto.<emph.end type="italics"/> S.D. Q<emph type="italics"/>ue&longs;to uo&longs;tro di&longs;cor&longs;o non me di&longs;piace, e pero &longs;eguitate.<emph.end type="italics"/> N. <lb/>D<emph type="italics"/>ico adunque che da que&longs;te co&longs;e dette, & per ragion naturale approbate, na&longs;ce que-<pb/>&longs;ta conclu&longs;ione, che doue è maggior uelocita nella balla tir ata uio lentemente per aere, <lb/>in quella è manco grauita, & econuer&longs;o, cioe che doue che in quella è menor uelocita iu<gap/><lb/>è maggior grauita in quella.<emph.end type="italics"/> S. D. E<emph type="italics"/>glie il uero.<emph.end type="italics"/> N. A<emph type="italics"/>nchor dico, che doue che in <lb/>quella è maggior grauita, iui è maggior &longs;timulatione di quella in tirare la detta balla <lb/>uer&longs;o il centro del mondo, cioe uer&longs;o la terra.<emph.end type="italics"/> S. D. E<emph type="italics"/>glie co&longs;a credibile.<emph.end type="italics"/> N. H<emph type="italics"/>or <lb/>per conchiuder il nostro'propo&longs;ito, &longs;up poneremo che tutto il tran&longs;ito, ouer uiaggio che <lb/>debbia far, ouer che habbia fatto la balla tirata dalla &longs;opradetta colobrina &longs;ia tutta la <lb/>linea. </s>

<s>& &longs;e poßibil è che in quello &longs;ia alcuna parte che &longs;ia per&longs;ettamente retta, <lb/>poniamo che quella &longs;ia tutta la parte. </s>

<s>la qual &longs;ia diui&longs;a in due parti eguali in ponto <lb/>e. </s>

<s>& perche la balla tran&longs;ira piu ueloce per il &longs;pacio. </s>

<s>a. e. (per la terza propo&longs;itione <lb/>del primo, della no&longs;tra nuoua &longs;cientia) di quello fara per il &longs;pacio. </s>

<s>Adunque la det<lb/>ta balla andara piu rettamente, per le ragioni di &longs;opra adutte, per il &longs;pacio. </s>

<s>di quel <lb/>lo fara per il &longs;pacio. </s>

<s>onde la linea. </s>

<s>&longs;aria piu retta della. </s>

<s>la qual co&longs;a è impo&longs; <lb/>&longs;ibile, perche &longs;e tutta la. </s>

<s>è &longs;uppo&longs;ta e&longs;&longs;er perfettamente retta, la mitade di quella <lb/>non puol e&longs;&longs;er ne piu ne men retta dell'altra mitade, & &longs;e pur l'una mitade &longs;ara piu ret<lb/>ta dell'altra &longs;eguita nece&longs;&longs;ariamente quell'altra mitade non e&longs;&longs;er retta, e pero &longs;egui<lb/>ta de neceßita, la parte. </s>

<s>non e&longs;&longs;er perfettamente retta.<emph.end type="italics"/></s><figure></figure>

<s>E<emph type="italics"/>t &longs;e pur alcuno haue&longs;&longs;e anchora opinione che la parte. </s>

<s>fu&longs;&longs;e pur <21> <expan abbr="fettam&etilde;te">fettamente</expan> retta, <lb/>tal opinione &longs;e reprobara per fal&longs;a, per li mede&longs;imi modi, e uie, cioe diuidendo la detta <lb/>parte. </s>

<s>pur in due parti eguali in ponto. </s>

<s>f. & per le mede&longs;ime ragioni di &longs;opra adut<lb/>te, &longs;era manife&longs;to la parte. </s>

<s>e&longs;&longs;er piu retta della parte. </s>

<s>adunque la detta parte. </s>

<s>de neceßita non &longs;ara perfettamente retta, &longs;imilmente che diuide&longs;&longs;e anchora la. </s>

<s>a. f. <lb/>in due parti eguali, con le mede&longs;ime ragioni &longs;e manife&longs;ta la mita di quella uer&longs;o. </s>

<s>a. e&longs;&longs;er <lb/>piu retta di quella che uer&longs;o. </s>

<s>f. & co&longs;i chi diuide&longs;&longs;e quella mita pur in altre due parti <lb/>eguali il mede&longs;imo &longs;eguira, cioe la parte terminante in a. </s>

<s>e&longs;&longs;er piu retta dell'altra, & <lb/>perche que&longs;to procedere è infinito &longs;eguita di neceßita che non &longs;olamente tutta la. </s>

<s>a. b. <lb/>non è perfettamente retta, ma che alcuna minima parte di quella non puo e&longs;&longs;er perfet<lb/>tamente retta, che è il propo&longs;ito. </s>

<s>Si uede adunque qualmente la balla tirata da detta co <lb/>lobrina in tal uer&longs;o non ua alcuna minima parte del &longs;uo moto, ouer tran&longs;ito per linea <lb/>perfettamente retta (u&longs;ci&longs;ca pur con qual grandißima uelocita &longs;i uoglia) perche la ue<lb/>locita (per granda che la &longs;ia) mai è &longs;ufficiente, in &longs;imili uer&longs;i, a farla andar per linea <lb/>retta, uero è che quanto piu ua ueloce in &longs;imili uer&longs;i tanto piu col moto &longs;uo &longs;e appro<lb/>pinqua al moto retto, cioe all'andar per retta linea, tamen mai puo arriuar a tal &longs;egno, <lb/>e pero piu conueniente è a dire in &longs;imil ca&longs;o, che quanto piu la detta balla ua ueloce, fa<emph.end type="italics"/><pb pagenum="12"/><emph type="italics"/>il moto &longs;uo men curuo.<emph.end type="italics"/> S. D. D<emph type="italics"/>oue procede adunque che molte uolte &longs;e ui&longs;to per<lb/>cuotere uno preci&longs;amente nel luoco tolto de mira, la qual co&longs;a non potria occorrere &longs;e <lb/>tal balla non fu&longs;&longs;e andata rettamente.<emph.end type="italics"/> N. S<emph type="italics"/>ignor que&longs;to non ne fa certi che la balla <lb/>uada rettamente, perche anchora molte uolte &longs;e ui&longs;to percuotere di &longs;opra dal &longs;egno <lb/>tolto de mira, la qual co&longs;a, e&longs;&longs;endo le mire eguale, è impoßibile, cioe che la balla &longs;eghi <lb/>la linea ui&longs;uale equidi&longs;tante alla canna di tal pezzo, ma tai effetti non procedeno, per<lb/>che la balla uada rettamente, ne perche quella a&longs;cenda oltra la rettitudine, ma proce<lb/>dano totalmente dalle mire, ouer dal tra&longs;guardante. </s>

<s>Eglie ben uero, che chi pote&longs;&longs;e ue<lb/>der la balla, nel moto &longs;uo &longs;enza dubbio giudicarebbe tal balla per un commun &longs;pacio <lb/>e&longs;&longs;er andata rettißima, perche il no&longs;tro &longs;en&longs;o non è atto, ne &longs;ufficiente a di&longs;cerner tale <lb/>obliquita, &longs;i come occorre, guardando l'acqua del mare quando è quieto, la quale per <lb/>una gran di&longs;tantia ne pare perfettamente piana, & nondimeno, per meggio della ra<lb/>gione &longs;apemo e&longs;&longs;er all oppo&longs;ito, cioe &longs;pherica, e pero nelli giudici fatti &longs;econdo il &longs;en&longs;o <lb/>del uedere, molte uolte &longs;e ingannamo.<emph.end type="italics"/> S. D. L<emph type="italics"/>e ragioni uo&longs;tre &longs;on buone certo, pur <lb/>mi pare molto distranio a dire, che una balla tirata da una tal machina, & con tanta <lb/>uehementia, non uada alquanto per linea retta, ma pur con&longs;ider ando anchor che in tal <lb/>obliquo uer&longs;o la grauita della balla è molto piu atta a far declinar, ouer a tirare la det <lb/>ta balla uer&longs;o terra, che in ogni altra elleuatione, mi fa credere che uoi diciate il uero. <lb/>Ma tir ando quella alquanto elleuata dauanti, pen&longs;o & tengo per fermo che quella deb <lb/>ba andar per alquanto rettamente per aere, perche la grauita di tal balla tirandola in <lb/>&longs;imei uer&longs;i elleuati è manco atta a far declinar la balla uer&longs;o terra di quello che è tiran <lb/>dola a liuello.<emph.end type="italics"/> N. V<emph type="italics"/>o&longs;tra Eccellentia dice ben il uero, che la grauita della balla non è <lb/>tanto atta a ouiar il moto di quella, nelli tiri elleuati, quanto che nelli tiri equidi&longs;tanti <lb/>all'orizonte, cioe aliuellati, ouer de ponto in bianco (come dicono li bombarderi) per <lb/>due cau&longs;e, l'una perche in tal&longs;ito (come nel principio fu approuato) ui è maggior graui <lb/>ta, l'altra perche la detta grauita tira la balla perpendicolarmente &longs;opra il moto, ouer <lb/>tran&longs;ito di quella uer&longs;o terra, il qual modo da tirare è piu uigoro&longs;o, e gagliardo, che <lb/>in ogni altra elleuatione, perche elleuandola gradatamente, etiam gradatamente la det <lb/>ta grauita, &longs;i ua accostando uer&longs;o il &longs;uo tran&longs;ito, cioe che non ui cade co&longs;i perpendico<lb/>lare &longs;opra il detto moto, ouer tran&longs;ito, anci &longs;empre &longs;i ua piu restringendo uer&longs;o quello: <lb/>ilche la fa men uigoro&longs;a, ouer men gagliarda a tirar detta balla fuora del uiaggio, ouer <lb/>moto &longs;uo, & oltra di que&longs;to (come in principio fu dimo&longs;trato) quanto piu &longs;i ua elleuan <lb/>do tanto piu lí tiri &longs;uoi&longs;ono ben men curui, tamen mai ponno e&longs;&longs;er per alcuna &longs;ua par<lb/>te perfettamente retti, eccetto nelli &longs;opradetti duoi uer&longs;i, cioe rettamente in &longs;u&longs;o uer&longs;o <lb/>il cielo, ouer rettamente in gio&longs;o uer&longs;o il centro del mondo, <21> che in ogni uer&longs;o ui é alc<gap/><lb/>na parte de grauita quala &longs;empre tira la detta balla fuora del &longs;uo uiaggio, ouer fuora <lb/>del &longs;uo tran&longs;ito, ouer moto, eccetto che nelli predetti dui uer&longs;i, cioe rettamente uer&longs;o il <lb/>cielo, ouer <expan abbr="rettam&etilde;te">rettamente</expan> in giu&longs;o uer&longs;o il <expan abbr="c&etilde;tro">centro</expan> del <expan abbr="mõdo">mondo</expan>, nelli quali dui uer&longs;i la detta graui <lb/>ta (&longs;e pur <gap/> è grauita) uien a tirare la detta balla <expan abbr="rettam&etilde;te">rettamente</expan> <expan abbr="&longs;ecõdo">&longs;econdo</expan> l'or dine del &longs;uo uiag <lb/>gio, ouer moto, et <expan abbr="nõ">non</expan> fuora di quello, come <21> la &longs;otto&longs;critta figura <expan abbr="facilm&etilde;te">facilmente</expan> &longs;enza altra <lb/><expan abbr="lõga">longa</expan> dimostratione &longs;i puo <expan abbr="cõpr&etilde;dere">comprendere</expan>, et co&longs;i nelli tiri abba&longs;&longs;ati, come nelli elleuati, <expan abbr="&longs;up-pen&etilde;do">&longs;up<lb/>penendo</expan>. </s>

<s>a. la bocca del pezzo, doue &longs;ia u&longs;cita la balla. </s>

<s>b. et la grauita di tal balla. </s>

<s>b. la &longs;up <pb/>poneremo in forma del <21> <expan abbr="p&etilde;dicolo">pendicolo</expan>. </s>

<s>c. il <expan abbr="&qtilde;l">qual</expan> <expan abbr="<21>p&etilde;dicolo"><21>pendicolo</expan>, ouer gra <lb/>uita. </s>

<s>c. in ogni uer&longs;o &longs;empre <expan abbr="uatirãdo">uatirando</expan> la detta balla uer&longs;o il <expan abbr="c&etilde;">cem</expan> <lb/>tro del <expan abbr="mõdo">mondo</expan>, cioe <21> <expan abbr="p&etilde;dicolarm&etilde;te">pendicolarmente</expan> uer&longs;o terra, onde <expan abbr="argum&etilde;">argumen</expan> <lb/><expan abbr="tãdo">tando</expan>, come nel tiro aliuellato &longs;u fatto, &longs;ara manife&longs;to <expan abbr="qualm&etilde;">qualmen</expan> <lb/>te in nullo altro uer&longs;o che nelli dui &longs;opra detti, la balla tirata <lb/>da detta colobrina, ouer d'altro pezzo, non puo andare alcu <lb/>na minima parte del &longs;uo moto per linea perfettamente retta, <lb/>che è il propo&longs;ito.<emph.end type="italics"/> S. D. V<emph type="italics"/>oi haueti ben dife&longs;a la uo&longs;tra ra<lb/>gione, & questo ba&longs;ta per hoggi, come &longs;ia ritornato da Pe&longs;a<lb/>ro uoro che &longs;i faccia la i&longs;perientia di que&longs;te uo&longs;tre inuentioni.<emph.end type="italics"/></s><figure></figure>

<s>QVESITO QVARTO FATTO DAL SIGNOR <lb/>G<emph type="italics"/>abriel Tadino da Martinengo Cauallier de Rodi, <lb/>& Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. T<emph type="italics"/>irando un pezzo di artegliaria due uolte l'una drieto a l'altra, <lb/>a <lb/>una mede&longs;ima elleuatione, & uer&longs;o uno mede&longs;imo luoco, et cargato &longs;empre egual <lb/>mente, domando &longs;e que&longs;ti dui tiri &longs;ar anno eguali.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio &longs;aranno in eguali, <lb/>perche tirara piu lontano alla &longs;econda uolta che alla prima.<emph.end type="italics"/> P. P<emph type="italics"/>erche ragione.<emph.end type="italics"/> N. <lb/>P<emph type="italics"/>er due ragioni, la prima è que&longs;ta, che al primo tiro la balla ritrouara l'aere quieto, et <lb/>nel &longs;econdo lo ritrouara non &longs;olamente tutto commo&longs;&longs;o dalla balla tirata dal primo ti<lb/><gap/>o, ma anchora molto tendente, ouer &longs;corrente uer&longs;o al luoco doue &longs;e tira. </s>

<s>Et perche <lb/>eglie piu facile a mouere etiam a penetrare una co&longs;a gia commo&longs;&longs;a & penetrata, che <lb/>una che &longs;tia ripo&longs;ata & quieta. </s>

<s>Seguita che la balla tirata alla &longs;econda uolta (per ritro <lb/>uare men ostacolo nel &longs;uo moto della prima) andara molto piu lontano di quella tirata <lb/>alla prima uolta. </s>

<s>La &longs;econda ragione è que&longs;ta, che al primo tiro la poluere po&longs;ta nel <lb/>pezzo, &longs;pe&longs;&longs;e uolte ritroua la canna alquanto humida, maßime quando che quel tal pez <lb/>zo non fu&longs;&longs;e &longs;tato tirato gia alquanti giorni, per la qual co&longs;a, la detta poluere non br<gap/><lb/>&longs;ara co&longs;i pre&longs;to, come faria trouando tal luoco arido, & alquanto caldo d'una calidita <lb/>temperata: la qual calidita &longs;uga alquanto la poluere de ogni humidita che in lei fu&longs;&longs;e: il<lb/>che la fa piu pre&longs;ta, e potente nell'abbru&longs;iare, & per tanto non operara co&longs;i uigoro&longs;a<lb/>mente nel primo tiro, come fara nel &longs;econdo, &longs;i che anchora per questa &longs;econda ra<lb/>gione alla &longs;econda uolta douera tirar piu lontano che alla prima.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;te uo&longs;tre <lb/>ragioni molto mi piaceno, & uoglio che ba&longs;ti per que&longs;ta &longs;era.<emph.end type="italics"/></s>

<s>QVESITO QVINTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo. </s>

<s>Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;era uoi conclude&longs;ti, & con buone ragioni naturali <lb/>approua<lb/>sti, che tirando un pezzo due uolte l'una drieto l'altra a una mede&longs;ima elleua<lb/>tione, & uer&longs;o uno mede&longs;imo luoco, & etiam egualmente cargato, molto piu tirara la <lb/>&longs;econda uolta, che la prima, hor ue adimando, che continua&longs;&longs;e per longo tempo a tira-<emph.end type="italics"/><pb pagenum="13"/><emph type="italics"/>re ìl detto pezzo à tal elleuatione, & uer&longs;o il mede&longs;imo luoco, &longs;e contìnuamente anda <lb/>ria aug<gap/>mentando li &longs;uoi tiri.<emph.end type="italics"/> N. N<emph type="italics"/>on &longs;ignore, chel non &longs;eguiria que&longs;to.<emph.end type="italics"/> P. M<emph type="italics"/>o <lb/>perche uoi dice&longs;ti pur hier&longs;era, che per trouare lo aere commo&longs;&longs;o, & alquanto &longs;cor<lb/>rente uer&longs;o el luoco doue &longs;e tira, etiam perche la poluere posta nel pezzo, troua el <lb/>luoco piu arido, & &longs;utto, & alquanto caldo, che alla &longs;econda uolta tiraria piu, che alla <lb/>prima, e per tanto quanto piu &longs;i ua <expan abbr="tirarãdo">tirarando</expan>, tanto piu la balla uien à ritrouare l'aere <lb/>piu commo&longs;&longs;o, e penetrato, etiam piu &longs;corrente uer&longs;o al luoco doue &longs;e tira (per cau&longs;a <lb/>delli tiri anciani) & &longs;imelmente la poluere, che &longs;e ua recargando, ouer remettendo nel <lb/>pezzo, continuamente ua ritrouando il luoco (cioè la canna del pezzo) continuamen<lb/>te piu arida, & &longs;utta, & piu calda, la qual calidita (come uoi dice&longs;ti hier&longs;era) &longs;uga la <lb/>poluere de ogni humidita, che in lei fu&longs;&longs;e, per il che tal poluere &longs;i fa piu pre&longs;ta nel ab<lb/>bru&longs;iare: la qual pre&longs;tezza la uien à far piu potente del &longs;olito.<emph.end type="italics"/> N. E<emph type="italics"/>glie ben uero <lb/>tutto quello, che dice uostra Signoria, ma ui occorre un'altro accidente molto contra<lb/>rio, el quale è questo: che per el continuo tirare el pezzo continuamente piu &longs;e ua &longs;cal<lb/>dando, & quanto piu è caldo, tanto piu la canna di quello &longs;i fa attrattiua, cioè, &longs;i come <lb/>una uento&longs;a, quando è&longs;caldata per la &longs;toppa abbru&longs;iata dentro in quella, & perche la <lb/>balla non è &longs;pul&longs;ata, ouer &longs;pinta da altro, che dalla e&longs;&longs;alatione aerea, ouer uento&longs;a, cau<lb/>&longs;ata dal &longs;alnitrio, onde facendo&longs;i tal pezzo continuamente piu attrattiuo, come ho det <lb/>to, per el maggior caldo, quel medemo uiene à &longs;orbere, & à retenere, & continuamen <lb/>te piu di quella uento&longs;ita, che doueria &longs;eruire al &longs;pingere la balla, e pero &longs;cemando (& <lb/>continuamente piu) la uirtu e&longs;pul&longs;iua nel detto pezzo, ra&longs;oneuolmente la balla conti<lb/>nuamente debbe u&longs;cire men ueloce, ouer piu debile, & con&longs;equentemente andar conti<lb/>nuamente men lontano.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;ta uo&longs;tra ragione mi con&longs;ona molto<emph.end type="italics"/>: <emph type="italics"/>ma chi &longs;a, che <lb/>quelli dui accidenti primi, che dano fauore, & aiuto al moto della balla, cioe la gran <lb/>combu&longs;tione, ouer &longs;correntia del aere uer&longs;o al luoco doue continuamente &longs;e tira, & lo <lb/>uigore, che &longs;e augumenta nella poluere, per cau&longs;a del caldo, non &longs;iano &longs;officienti à &longs;up<lb/>plire à quel difetto attratiuo cau&longs;ato dalla gran calidita del pezzo et for&longs;i piu, la qual <lb/>co&longs;a e&longs;&longs;endo co&longs;i, &longs;eguiria, che el detto pezzo tira&longs;&longs;e &longs;empre à uno mede&longs;imo modo e&longs;<lb/>&longs;endo tanto quello, che ui aggionge&longs;&longs;e li detti dui primi accidenti, quanto quello, che ui <lb/>roba&longs;&longs;e el terzo, oueramente che tira&longs;&longs;e continuamente piu, e&longs;&longs;endo piu la augmenta<lb/>tione di ditti dui primi accidenti, della detrattione del terzo.<emph.end type="italics"/> N. C<emph type="italics"/>ertamente el non <lb/>&longs;i puo negare, che quelli dui primi accidenti (cioe el rompimento dell'aere, & quel ui<lb/>gor che accre&longs;&longs;e nella poluere) non diano grande aiuto e &longs;ußidio al moto della balla, el <lb/>qual aiuto, e &longs;ußidio, eglie da credere, che per alquanto tempo &longs;uppli&longs;ca (& &longs;or&longs;i da<lb/>uantaggio) per quella uirtu expul&longs;iua, che continuamente ua robando, ouer &longs;orbendo <lb/>el pezzo, &longs;econdo che fi ua &longs;caldando, talmente che for&longs;i el terzo, & quarto tiro &longs;aran <lb/>no qua&longs;i pari in bilancia, con el &longs;econdo, ouer poco differenti, nondimeno à longo anda<lb/>re, eglie da tenere, che li detti dui accidenti non potranno &longs;upplire al difetto del terzo <lb/>accidente, per la augmentatione del grandißimo caldo, che continuamente &longs;i ua cau&longs;an <lb/>do in quel tal pezzo, per il che el detto pezzo, come di &longs;opra è detto, &longs;i fa continua<lb/>mente piu attrattiuo, e pero continuamente ua robando, ouero &longs;orbendo piu di quella <lb/>e&longs;&longs;alatione, che doueria &longs;pingere la balla, & per tanto que&longs;to terzo accidente à longo<emph.end type="italics"/><pb/><emph type="italics"/>andare uien à re&longs;tar &longs;uperiore alli detti dui primi, et per que&longs;to à longo andar talpez <lb/>zo uien à tirare molto manco del &longs;olito.<emph.end type="italics"/> P. M<emph type="italics"/>o chi reffredda&longs;&longs;e tal pezzo, con ac<lb/>qua (cioè gettandoui dell'acqua nella canna) non credeti chel tiraraue piu uer&longs;o il me<lb/>de&longs;imo luoco.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubio che tiraraue piu, quando che tal pezzo re&longs;ta&longs;&longs;e per<lb/>fettamente fredo, & a&longs;ciuto, ma raffredandolo co&longs;i con acqua, el metallo che è caldo, <lb/>&longs;orbe di quella acqua, & &longs;orbendola la ri&longs;olue in uapore aereo, el qual uapore non po<lb/>tendo stare nella canna è sforzato à u&longs;cir di quella pian piano, el qual uapore, quando <lb/>chel non porta&longs;&longs;e con &longs;eco alcuna humidita, & chel pezzo resta&longs;&longs;e di dentro ben a&longs;ciu <lb/>to, tal uapore doueria piu pre&longs;to augumentar il tiro in tal pezzo, che &longs;cemarlo: per<lb/>che de attrattiuo, che era tal pezzo, per lo continuo u&longs;cire di tal uapore &longs;aria fatto <lb/>e&longs;pul&longs;iuo, ma perche tal uapore è tutto humidità, onde recargando tal pezzo, quan<lb/>tunque para a&longs;ciuto nel metterui la poluere, el non puo e&longs;&longs;ere che tal uapore humido, <lb/>non humidi&longs;ca alquanto la poluere, per il che non fara <expan abbr="tãto">tanto</expan> uigoro&longs;o il &longs;uo effetto, <expan abbr="quã">quam</expan> <lb/>to faria &longs;e tal pezzo &longs;i la&longs;&longs;aße raffredare per &longs;e &longs;te&longs;&longs;o &longs;enza metterui acqua.<emph.end type="italics"/> P. V<emph type="italics"/>oi <lb/>me haueti molto &longs;atisfatto que&longs;ta &longs;era, ma <21> e&longs;&longs;er hora tarda, uoglio, che questo ba&longs;ti.<emph.end type="italics"/></s>

<s>QVESITO SESTO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual è la cau&longs;a, che dando&longs;i piu quantita di poluere del <lb/>&longs;olito à un <lb/>pezzo di artegliaria quella percuottera piu alto del &longs;egno, doue che prima con <lb/>men poluere ui tiraua rettamente de mira.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;to procede, che il moto, ouero <lb/>tran&longs;ito di tal balla tirata con piu poluere, è manco curuo, che quel di quella tirata con <lb/>men poluere, & la differentia di que&longs;te due curuita piu &longs;e dimo&longs;tra, ouer che piu &longs;i fa <lb/>apparente nel fin del moto, che in ogni altro luoco, pero che quel tran&longs;ito, ouer moto, <lb/>che è men curuo, &longs;empre &longs;e i&longs;tende, & procede di &longs;opra à quello, che è piu curuo, & <lb/>quanto piu è longo el tiro, tanto piu la percußione del <expan abbr="m&etilde;">men</expan> curuo &longs;ara piu alta di quella <lb/>del piu curuo, perche il tran&longs;ito, ouer moto men curuo piu &longs;i accosta al tran&longs;ito, ouero <lb/>moto retto, di quello. </s>

<s>che fa lo piu curuo, & perche el tramito, ouer tran&longs;ito retto, <lb/>cioe quello, che &longs;e i&longs;tende rettamente &longs;econdo la rettitudine della canna del pezzo in <lb/>qual &longs;i uoglia uer&longs;o, è&longs;empre &longs;uperiore à tutti li moti, ouer tran&longs;iti obliqui di qual &longs;i <lb/>uoglia balla, che uiolentemente u&longs;ci&longs;ca di quel pezzo in qual &longs;i uoglia uer&longs;o.<emph.end type="italics"/> E <emph type="italics"/>pero <lb/>quel moto, ouer tran&longs;ito, che piu &longs;i acco&longs;ta al detto retto, &longs;empre uien à e&longs;&longs;er &longs;uperiore <lb/>à quello, che men ui &longs;i acco&longs;ta, & perche la balla tirata con piu poluere u&longs;ci&longs;&longs;e, & ua <lb/>piu ueloce di quella tirata con men poluere, e pero fa el moto &longs;uo piu retto, ouer men <lb/>curuo di l'altra, e per tanto la &longs;ua percußione è &longs;uperiore à quella di l'altra.<emph.end type="italics"/> P. I<emph type="italics"/>o <lb/><expan abbr="nõ">non</expan> bene <expan abbr="int&etilde;do">intendo</expan> que&longs;to che uoi diceti, che el tiro fatto con piu poluere ua men curuo di <lb/>quello fatto con men poluere. </s>

<s>Non uoleti uoi, che una balla tirata con un pezzo car<lb/>gato con la &longs;ua debita, & con&longs;ueta mi&longs;ura di poluere uada rettamente al luoco, ouer &longs;e <lb/>gno tolto de mira, in una mediocre di&longs;tantia.<emph.end type="italics"/> N. A<emph type="italics"/>nci que&longs;to il nego, cioe, che tal <lb/>balla uada per linea retta al&longs;egno tolto de mira, & que&longs;to medemo pa&longs;&longs;o fu da me di<lb/>&longs;putato un'altra uolta auanti della buona memoria della Eccellentia del Duca di Vrbi-<emph.end type="italics"/><pb pagenum="14"/><emph type="italics"/>no padre di questo, cioe, che una balla tirata con qual &longs;i uoglia pezzo di artegliaria, <lb/>& per qual &longs;i uoglia uer&longs;o mai ua, ne puo andare alcuna minima parte del &longs;uo moto, <lb/>ouer tran&longs;ito per linea perfettamente retta, &longs;aluo che non la tira&longs;&longs;e rettamente uer&longs;o <lb/>el cielo, ouer rettamente uer&longs;o el centro del mondo.<emph.end type="italics"/> P. C<emph type="italics"/>omprendo, che uoi diti la <lb/>uerita, perche &longs;e quella anda&longs;&longs;e alla prima rettamente al &longs;egno, per darui poi piu quan <lb/>tita di poluere, ra&longs;oneuolmente non doueria dar de &longs;opra del &longs;egno, anzi doueria pur <lb/>dar nel mede&longs;imo loco, doue che prima con men poluere percuoteua, & per que&longs;to ui <lb/>ho fatto lo pre&longs;ente Que&longs;ito, perche mi pareua di &longs;tranio, che per darui piu poluere <lb/>la balla doue&longs;&longs;e a&longs;cendere di &longs;opra alla rettitudine, nondimeno doman di &longs;era uoro che <lb/>di&longs;putamo meglio que&longs;ta materia, perche la me piace.<emph.end type="italics"/></s>

<s>QVESITO SETTIMO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;era uoi concludesti, & con buone ragioni naturale uoi dimo <lb/>&longs;tra&longs;ti qualmente una balla tirata da una artegliaria, mai ua per linea retta in <lb/>parte alcuna, &longs;aluo che rettamente uer&longs;o il cielo, ouer rettamente uer&longs;o il centro del <lb/>mondo. </s>

<s>Hor ue dimando donde procede, che tirando&longs;e ad alcun &longs;egno de mira, alcuna <lb/>fiata &longs;i da preci&longs;amente in brocca, cioe nel &longs;egno tolto de mira, alcun'altra fiata &longs;i da di <lb/>&longs;otto, & alcun'altra di &longs;opra dal &longs;egno.<emph.end type="italics"/> N. T<emph type="italics"/>utto que&longs;to procede dalle mire, perche <lb/>&longs;e la mira dauanti é preci&longs;amente tanto alta, quanto quella de drio, cioe, che l'una, & <lb/>l'altra &longs;iano egualmente lontane dal fondo del uacuo della canna di tal pezzo, & che <lb/>colui, che uol tirare ad alcun &longs;egno, incontri col &longs;uo occhio preci&longs;amente el detto &longs;egno <lb/>con le due mire, cioe con le i&longs;tremita di quelle &longs;empre in tal ca&longs;o dara alquanto di &longs;otto <lb/>dal &longs;egno, & quanto piu il detto &longs;egno &longs;ara lontano, tanto piu ba&longs;&longs;a &longs;ara la botta, & é <lb/>conuer&longs;o, cioé, che quanto piu &longs;ara propinquo il detto &longs;egno, tanto men ba&longs;&longs;a &longs;ara la <lb/>detta botta. </s>

<s>Que&longs;to mede&longs;imo, & con maggior differentia, &longs;eguiria quando che la mi <lb/>ra de drio fu&longs;&longs;e piu ba&longs;&longs;a, ouero piu corta di quella dauanti, dico piu corta in re&longs;petto <lb/>al fondo del uacuo della canna del pezzo.<emph.end type="italics"/> P. N<emph type="italics"/>on ue intendo.<emph.end type="italics"/> N. A<emph type="italics"/>ccio meglio <lb/>me intendiati uoglio ponere figuralmente la &longs;otto&longs;critta artegliaria con le due mire <lb/>e. </s>

<s>le qual due mire poniamo in que&longs;to ca&longs;o, che &longs;iano equale, cioe, che le due istre<lb/>mita di quelle (cioe. </s>

<s>d.) &longs;iano egualmente di&longs;tante dal fondo del uacuo della can<lb/>na, & con que&longs;te due mire &longs;ia incontrato el ponto. </s>

<s>e. cioe &longs;upponemo, chel ponto. </s>

<s>e. &longs;ia <lb/>el &longs;egno, che hauemo tolto de mira per tirarui, hor dico in que&longs;to ca&longs;o, che nece&longs;&longs;a<lb/>riamente &longs;empre &longs;e dara alquanto piu ba&longs;&longs;o del &longs;egno, & &longs;ia tal &longs;egno lontano, ouero <lb/>propinquo quanto &longs;i uoglia. </s>

<s>Perche la no&longs;tra linea ui&longs;uale (qual &longs;ia la. </s>

<s>e.) <lb/>&longs;empre procedera, ouero &longs;e e&longs;tendera egualmente di&longs;tante al uacuo della canna, o<lb/>uero alla linea, che &longs;ia protratta rettamente in longo, &longs;econdo l'ordine del uacuo <lb/>della canna, ouero centro di quella, la quale in que&longs;to ca&longs;o pongo &longs;ia la linea. </s>

<s>f. g. <lb/>et perche il ponto. </s>

<s>g. é nece&longs;&longs;ario e&longs;&longs;er piu ba&longs;&longs;o del ponto. </s>

<s>e. per tanto quanto che é dal <lb/>ponto. </s>

<s>d al centro della canna, &longs;i uede adunque, che &longs;e la balla anda&longs;&longs;e perfettamente <lb/>per linea retta, in que&longs;to ca&longs;o lei percuotteria de &longs;otto dal &longs;egno, cioe in ponto. </s>

<s>g. ma<emph.end type="italics"/><pb/><emph type="italics"/>per e&longs;&longs;er &longs;tato dimo&longs;trato, che in &longs;imei tiri la balla mai ua per linea perfettamenteret <lb/>ta, ma &longs;empre per obliqua, ouer curua &longs;eguita di neceßita, che tal balla dia, ouer dara <lb/>di &longs;otto dal ponto. </s>

<s>g. come &longs;aria à dire in ponto. </s>

<s>i. & perche ogni commune intelletto, <lb/>&longs;enza altra dimostratione, confirmara in que&longs;to ca&longs;o, che quanto piu &longs;ara lontano el <lb/>detto &longs;egno. </s>

<s>e. tanto piu ba&longs;&longs;o &longs;ara el ponto. </s>

<s>i. perche el tran&longs;ito, ouer moto curuo con <lb/>tinuamente &longs;i ua piu curuando uer&longs;o terra, che è il primo propo&longs;ito.<emph.end type="italics"/></s><figure></figure>

<s>E<emph type="italics"/>l &longs;econdo propo&longs;ito (cioè, che &longs;e la mira dauanti &longs;ara piu alta, che quella de drio, <lb/>che &longs;imelmente la botta &longs;empre dara piu ba&longs;&longs;a del &longs;egno, & in ogni uer&longs;o, & molto <lb/>piu ba&longs;&longs;o di quello faria con le mire eguale, & que&longs;to &longs;enza altra dimo&longs;tratione è ma <lb/>nife&longs;to, come per la figura &longs;otto&longs;critta &longs;en&longs;ibelmente &longs;i uede, e pero &longs;opra di cio non di <lb/>ro altro, &longs;aluo che que&longs;ti dui e&longs;&longs;empi, quantunque &longs;iano dati nel tirar aliuello &longs;i debbe <lb/>intendere il mede&longs;imo &longs;uccedere in ogni altro uer&longs;o.<emph.end type="italics"/></s><figure></figure>

<s>PRIORE. Q<emph type="italics"/>ue&longs;ti dui uo&longs;tri e&longs;&longs;empi, gli ho inte&longs;o benißimo, &longs;i che uegnamo <lb/>pur all'altra parte, cioè doue na&longs;ce, che molte uolte &longs;i da in brocca, & alcuna fiata di <lb/>&longs;otto dal &longs;egno.<emph.end type="italics"/> N. D<emph type="italics"/>etta la conditione, & qualita delle botte, che occorre, quando <lb/>che le due mire &longs;ono eguale, & etiam quando, che la mira dauanti è piu alta di quella <lb/>de drio (cioè, che in l'una, & l'altra &longs;empre de neceßita &longs;i da di &longs;oto dal &longs;egno.) Hor <lb/>re&longs;ta &longs;olamente à narrare le conditione, & qualita delle botte, che puo occorrere <expan abbr="quã">quam</expan> <lb/>do che la mira dauanti &longs;ia alquanto piu ba&longs;&longs;a, cioè alquanto piu corta di quella de drio, <lb/>& questo piu ba&longs;&longs;a, ouer piu corta &longs;i debbe intendere &longs;empre (come di &longs;opra fu detto) <lb/>in ri&longs;petto al fundo del uacuo della canna del detto pezzo. </s>

<s>Dico adunque, che quando <lb/>la mira dauanti &longs;ara alquanto piu ba&longs;&longs;a di quella de drio in tal ca&longs;o puo occorrere, che <lb/>alcuna fiata &longs;e dia in brocca, & alcun'altra, che &longs;e dia di &longs;opra, & alcun'altra di &longs;otto <lb/>dal &longs;egno.<emph.end type="italics"/> P. P<emph type="italics"/>erche ragione.<emph.end type="italics"/> N. L<emph type="italics"/>a ragione è que&longs;ta, che ogni uolta, che la mi<lb/>ra dauanti &longs;ia alquanto piu ba&longs;&longs;a di quella de drio (per la quinta petitione di Eucli<lb/>de) la nostra linea ui&longs;uale è nece&longs;&longs;ario concorrere con la linea retta, che procede<emph.end type="italics"/><pb pagenum="15"/><emph type="italics"/>qettamente &longs;econdo lo aßis del uacuo della canna, & perche il tran&longs;ito, ouer <gap/>iaggio, <lb/>qual debbe far la balla (quantunque il non &longs;ia retto, ne che uada realmente per la detta <lb/>linea che procede rettamente &longs;econdo l'ordine del aßis del uacuo della canna del pez<lb/>zo) tamen per molto &longs;pacio ua quafi contiguo con quella, ouer poco lontano da quella.<emph.end type="italics"/><lb/>E <emph type="italics"/>per tanto tal &longs;egamento puo e&longs;&longs;er in tal luoco che la mede&longs;ima linea ui&longs;uale &longs;eghera <lb/>anchora il tran&longs;ito, ouer uiaggio qual debbe far la balla. (Et que&longs;to accadera quando <lb/>che la mira dauanti &longs;ara piu ba&longs;&longs;a del douere ri&longs;petto a quella de drio) & puo anchora <lb/>e&longs;&longs;er in tal luoco, che non &longs;olamente la detta linea ui&longs;uale non &longs;eghera il detto tran&longs;ito, <lb/>ouer uiaggio, ma anchora non lo toccata, & questo accadera quando che la mira da<lb/>uanti non &longs;ara a &longs;ufficientia piu ba&longs;&longs;a di quella de drio. </s>

<s>Anchora puo e&longs;&longs;er in tal luoco <lb/>che tal linea ui&longs;uale &longs;ara contingente con il detto tran&longs;ito, ouer uiaggio qual debbe far <lb/>la balla, & que&longs;to occorrera quando che la mira dauanti hauera la &longs;ua debita & conue <lb/>niente ba&longs;&longs;ezza ri&longs;petto alla mira de drio, &longs;e per &longs;orte adunque la no&longs;tra linea ui&longs;ua<lb/>le &longs;eghera il detto tran&longs;ito, ouer uiaggio qual debbe far la balla, & che per &longs;orte an<lb/>chora il &longs;egno che &longs;e tuol de mira, &longs;ia preci&longs;amente nel ponto di tal inter&longs;ecatione &longs;en<lb/>za dubbio la balla dara preci&longs;amente in brocca, ma &longs;e per ca&longs;o il detto &longs;egno &longs;ara di den <lb/>tro da tal inter&longs;eccatione, cioe piu in uer&longs;o il pezzo, tal balla dara &longs;empre alquanto di <lb/>&longs;otto dal &longs;egno, cioe dalla brocca di quello, & quanto piu il detto &longs;egno &longs;ara remoto, <lb/>ouer lontano datal inter&longs;eccatione, cioe piu uer&longs;o il pezzo, tanto piu ba&longs;&longs;o dal &longs;egno, <lb/>ouer dalla brocca di quello, dara la detta balla. </s>

<s>Ma &longs;e per ca&longs;o il detto &longs;egno &longs;ara alquan <lb/>to fuora della detta inter&longs;eccatione, cioe alquanto piu alta de tal inter&longs;eccatione, tal <lb/>balla dara di &longs;opra dal detto &longs;egno, & quanto piu &longs;ara da quello lontano (per un certo <lb/>&longs;pacio) tanto piu dara di &longs;opra da quello.<emph.end type="italics"/> P. N<emph type="italics"/>on ue intendo troppo bene.<emph.end type="italics"/> N. P<emph type="italics"/>o<lb/>niamo per figura la &longs;otto&longs;critta artegliaria, & le due mire di quella &longs;iano. </s>

<s>d. & <lb/>&longs;ta la mira. </s>

<s>d. piu ba&longs;&longs;a della mira. </s>

<s>c. & &longs;ia la linea che procede rettamente &longs;econdo l'or <lb/>dine del aßis del uacuo della canna, la. </s>

<s>& il tran&longs;ito, ouer uiaggio qual debbe far la <lb/>balla la linea. </s>

<s>& la no&longs;tra linea ui&longs;uale quella che procede rettamente &longs;econdo l'or<lb/>dine delle due i&longs;treme ponte delle due mire. </s>

<s>d. la quale nece&longs;&longs;ariamente (come è det <lb/>to) &longs;eghera la linea. </s>

<s>& per tanto poniamo anchor che quella &longs;eghi la detta linea. </s>

<s>in ponto.<emph.end type="italics"/> k. <emph type="italics"/>(come di &longs;otto appar in figura) hor dico, che &longs;e il &longs;egno che &longs;e tuol de mi<lb/>ra &longs;ara preci&longs;amente in ponto.<emph.end type="italics"/> k. <emph type="italics"/>tal balladara preci&longs;amente in brocca, & &longs;e per ca&longs;o il <lb/>detto &longs;egno fu&longs;&longs;e di dentro di tal inter&longs;eccatione, cioe in uer&longs;o del pezzo, come &longs;aria a <lb/>dire in ponto. </s>

<s>m. tal balla dara &longs;empre alquanto di &longs;otto dalla brocca del detto &longs;egno, <lb/>perche per tutto tal luoco, ouer &longs;pacio il tran&longs;ito della balla pa&longs;&longs;a &longs;empre di &longs;otto dalla <lb/>no&longs;tra linea ui&longs;uale, & quanto piu remoto &longs;ara il detto &longs;egno dal ponto.<emph.end type="italics"/> k. <emph type="italics"/>cioe quanto <lb/>piu &longs;ara uer&longs;o il pezzo, tanto piu ba&longs;&longs;a &longs;ara la detta no&longs;tra botta, niente dimeno tal <lb/>ba&longs;&longs;ezza in un &longs;imil ca&longs;o mai puo e&longs;&longs;er eguale alla differentia, che è dalla i&longs;tremita della <lb/>mira dinanti, cioe dal ponto. </s>

<s>d. al centro del foro del pezzo, ouer uacuo della canna, la <lb/>qual differentia è circa alla mita della gro&longs;&longs;ezza del pezzo nella parte de drio, cioe <lb/>nella culatta, e per tanto, e&longs;&longs;endo il &longs;egno doue &longs;e tira de mira di qua da tal inter&longs;ecca<lb/>tione, il bombardiero è &longs;oggietto a poco errore (per conto delle mire.) Ma quando tal <lb/>&longs;egno fu&longs;&longs;e alquanto fuora da tal inter&longs;eccatione, come &longs;aria a dire in ponto. </s>

<s>l. tal balla <pb/>dara di &longs;opra dal &longs;egno, per che per un longo tramito, ouer &longs;pacio, il tran&longs;ito della balla <lb/>pa&longs;&longs;a di &longs;opra dalla linea ui&longs;uale, e pero quanto piu lontano &longs;ara il detto &longs;egno dal pon<lb/>to.<emph.end type="italics"/> k. <emph type="italics"/>per un longo &longs;pacio, tanto piu alta &longs;ara la botta, uero è, che à longo andare la bal<lb/>la con il tran&longs;ito &longs;uo curuo, ouer naturale ritornera à &longs;egare un'altra uolta la no&longs;tra li <lb/>nea ui&longs;uale, perche la no&longs;tra linea ui&longs;uale. </s>

<s>procede in infinito rettamente, & la <lb/>balla per il tran&longs;ito. </s>

<s>non procede in infinito, anci con tempo ua mancando, & &longs;i <lb/>ua curuando uer&longs;o il centro del mondo, & finalmente &longs;e redrizza rettamente di moto <lb/>naturale (non trouando re&longs;istentia) uer&longs;o il detto centro del mondo, e pero eglie nece&longs;<lb/>&longs;ario che a longo andare che la ritorni con il tran&longs;ito &longs;uo à inter&longs;eccar&longs;e un'altra uolta <lb/>con la nostra linea ui&longs;uale, e pero &longs;e il detto &longs;egno fu&longs;&longs;e tanto, & tanto lontano, cioe tan <lb/>to oltra la prima inter&longs;eccatione fatta in ponto.<emph.end type="italics"/> k. <emph type="italics"/>& che per &longs;orte fu&longs;&longs;e anchora pre<lb/>ci&longs;amente in quella altra &longs;econda inter&longs;eccatione, &longs;enza dubbio in tal luoco co&longs;i lontano <lb/>&longs;e daria preci&longs;amente in brocca, perche ogni uolta che la no&longs;tra linea ui&longs;uale &longs;eghi il <lb/>tran&longs;ito della balla, eglie nece&longs;&longs;ario che la &longs;eghi quello in dui lochi, l'uno de quali, cioe il <lb/>primo, non puo e&longs;&longs;er molto lontano, ma l'altro, cioe il &longs;econdo è nece&longs;&longs;ario che &longs;ia mol<lb/>to, e molto lontano, cioe qua&longs;i in fine del &longs;uo moto uiolente, & tal hora potria e&longs;&longs;er nel <lb/>&longs;uo moto, ouer tran&longs;ito naturale, e pero in tal ca&longs;o e&longs;&longs;endo il &longs;egno che &longs;e tuol de mira, <lb/>in qual &longs;i uoglia de que&longs;ti dui lochi, ouer iter&longs;eccationi, <expan abbr="nece&longs;&longs;ariam&etilde;te">nece&longs;&longs;ariamente</expan> &longs;e daria i brocca.<emph.end type="italics"/></s><figure></figure>

<s>PRIORE. Q<emph type="italics"/>ue&longs;ta Speculatione molto mi piace, & è molto bella, ma non ho trop<lb/>po ben inte&longs;a questa ultima particularita che mi haueti detta, cioe che in dui &longs;egni po&longs;t<gap/><lb/>in dui diuer&longs;i luoghi, ui &longs;i po&longs;&longs;a tirar, & dar de mira, e pero datime un'e&longs;&longs;empio &longs;e po&longs; <lb/>&longs;i<gap/>il è in figura, perche à mi me pare che tal co&longs;a non &longs;ia poßibile.<emph.end type="italics"/> N. S<emph type="italics"/>ia e&longs;&longs;em pi <lb/>gratia la &longs;otto&longs;critta artegliaria con le due mire. </s>

<s>d. &longs;econdo il propo&longs;ito, cioe <lb/>che la mira. </s>

<s>d. &longs;ia talmente piu ba&longs;&longs;a della mira. </s>

<s>c. che la no&longs;tra linea ui&longs;uale &longs;eghi il <expan abbr="trã">tram</expan> <lb/>&longs;ito, ouer uiaggio qual debbe far la balla, & &longs;ia tutto il tran&longs;ito, ouer uiaggio che hab<lb/>bia fatto, ouer che faria la balla (non trouando re&longs;istentia) di moto uiolente tutta la li<lb/>nea. </s>

<s>m. & la linea. </s>

<s>&longs;ia parte del tran&longs;ito, ouer uiaggio che quella habbia <lb/>fatto, ouer faria de moto naturale, hor dico, che &longs;e la no&longs;tra linea ui&longs;uale (procedente <lb/>per le i&longs;tremita delle due mire. </s>

<s>d.) Seghara il detto tran&longs;ito, ouer uiaggio. </s>

<s>n. et quella procedendo rettamente in in infinito (per le ragion di &longs;opra aditte) eglie <lb/>nece&longs;&longs;ario che la inter&longs;eghi tal tran&longs;ito, ouer uiaggio in dui lochi, cioe uno nella parte <lb/>retta (ouer men curua.) h. </s>

<s>i.<emph.end type="italics"/> k. <emph type="italics"/>& l'altro nella parte curua.<emph.end type="italics"/> k. <emph type="italics"/>l. </s>

<s>m. ouer nel tran&longs;ito na <lb/>turale. </s>

<s>hor &longs;upponamo che nella parte retta. </s>

<s>h. i.<emph.end type="italics"/> k. <emph type="italics"/>la la &longs;eghi in ponto. </s>

<s>i. & nella <lb/>curua in ponto, l. (come nella figura appare) conchiudo adunque che &longs;e il &longs;egno tolto de<emph.end type="italics"/><pb pagenum="16"/><emph type="italics"/><gap/>a, &longs;ara in qual &longs;i uoglia delle dette due inter&longs;eccationi, cioe in ponto. </s>

<s>l. nece&longs;&longs;ariamente la balla dara preci&longs;amente in brocca, & quando che il detto &longs;egno <lb/>&longs;ara piu in fuora della prima inter&longs;eccatione, cioe dal ponto. </s>

<s>i. per fin al ponto.<emph.end type="italics"/> k. <emph type="italics"/>tan<lb/>to piu alta &longs;ara la detta botta, ma quanto piu oltra al detto ponto.<emph.end type="italics"/> k. <emph type="italics"/>per fin al ponto. </s>

<s>l. <lb/>&longs;ara il detto &longs;egno tanto men alta &longs;ara la detta botta, ma quando che il detto &longs;egno fu&longs;&longs;e <lb/>per alquanto oltra al ponto. </s>

<s>l. tal botta nece&longs;&longs;ariamente dara di &longs;otto dal &longs;egno, & <expan abbr="quã">quam</expan> <lb/>do tal &longs;egno &longs;ara molto oltra al ponto. </s>

<s>l. la detta balla non potra arriuare al &longs;egno, co<lb/>me (per ragion naturale) credo, che quella po&longs;&longs;a facilmente comprendere.<emph.end type="italics"/> P. C<emph type="italics"/>om<lb/>prendo che eglie troppo il uero. </s>

<s>Et <expan abbr="certam&etilde;te">certamente</expan> questa è &longs;tata una bella Speculatione, e pe <lb/>ro non uoglio che piu ue affaticati per que&longs;ta &longs;era, diman de &longs;era direti poi il restante.<emph.end type="italics"/></s><figure></figure>

<s>QVESITO OTTAVO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> S. P<emph type="italics"/>rior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>or &longs;eguitamo la materia de hier&longs;era.<emph.end type="italics"/> N. H<emph type="italics"/>ier&longs;era (&longs;e ben mi ari <lb/>cordo) fu detto tutti gli effetti, ouer botte che puo occorrere, quando che per la <lb/>molta cortezza, ouer ba&longs;&longs;ezza della mira denanti ri&longs;petto à quella de drio, la nostra <lb/>linea ui&longs;uale &longs;eghera il tran&longs;ito, ouer uiaggio qual debbe far la balla. </s>

<s>Et que&longs;ta &longs;era uo<lb/>glio dichiarire tutti gli effetti, ouer botte, che puo occorrere, quando che la detta mi<lb/>ra de nanti non è talmente piu corta, ouer ba&longs;&longs;a della mira de drio, quanto ui &longs;i conue<lb/>gneria, per la qual cau&longs;a, la no&longs;tra linea ui&longs;uale non procede tanto al ba&longs;&longs;o che &longs;i po&longs;&longs;a <lb/>congiongere con il tran&longs;ito, ouer uiaggio qual debbe far la balla, e pero in &longs;imil ca&longs;o, <lb/>&longs;empre la balla dara di &longs;otto dal &longs;egno, perche per tutto tal luoco, ouer &longs;pacio, il tran<lb/>&longs;ito della balla pa&longs;&longs;a di &longs;otto della no&longs;tra linea ui&longs;uale, uero è, che ui è un certo luoco, nel <lb/>quale la no&longs;tra linea ui&longs;uale piu &longs;e appropinqua al detto tran&longs;ito della balla che in ogni <lb/>altro luoco, e per tanto, &longs;e per ca&longs;o il &longs;egno doue &longs;e tira de mira &longs;ara nel detto luoco, a <lb/>ben che la balla dara di &longs;otto da quello pur ui dara piu propinquo che in ogni altro luo <lb/>co e&longs;&longs;empi gratia &longs;ia per figura lo &longs;otto&longs;critto pezzo di artegliaria: le due mire delqua <lb/>le fiamo. </s>

<s>d. & &longs;ia il tran&longs;ito della balla la linea. </s>

<s>h. i.<emph.end type="italics"/> k. <emph type="italics"/>& &longs;ia pur la mira denanti, <lb/>cioe la. </s>

<s>d. alquanto piu corta, ouer piu ba&longs;&longs;a della. </s>

<s>c. ma in tanta poca quantita che la li<lb/>nea ui&longs;uale che <expan abbr="trã&longs;tra">tran&longs;tra</expan> p le i&longs;tremita di quelle (quala &longs;ia la linea. </s>

<s>m. l.) non tocchi lo <lb/>detto <expan abbr="trã&longs;ito">tran&longs;ito</expan>. </s>

<s>h. i.<emph.end type="italics"/> k. <emph type="italics"/>et &longs;ia il <expan abbr="põto">ponto</expan>. </s>

<s>m. il luoco di tal linea piu propinquo al detto <expan abbr="trã&longs;ito">tran&longs;ito</expan> di <pb/>qualunque altro, hor dico, che &longs;e per ca&longs;o il &longs;egno che &longs;e tuol de mira &longs;ara in ponto. </s>

<s>m. <lb/>la balla dara pur di &longs;otto dal &longs;egno, cioe daria in ponto. </s>

<s>n. ma pur ui dara piu propin<lb/>quo che in qualunque altro luoco, perche &longs;e tal &longs;egno fu&longs;&longs;e piu de la dal ponto. </s>

<s>m. (come <lb/>&longs;aria a dire in ponto. </s>

<s>l.) ouer di qua (come &longs;aria a dire in ponto. </s>

<s>o.) &longs;empre dara piu <lb/>ba&longs;&longs;o, uero è che eglie &longs;uggetto a maggior errore di la, che di qua dal detto ponto. </s>

<s>m. <lb/>(come dì &longs;otto nella figura appare.)<emph.end type="italics"/> P. N<emph type="italics"/>on piu che ue ho inte&longs;o benißimo, circa a <lb/>que&longs;ta parte.<emph.end type="italics"/></s><figure></figure>

<s>QVESITO NONO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> S. P<emph type="italics"/>rior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>or &longs;eguitati la ultima parte di que&longs;ta propo&longs;ta materia, cioe <expan abbr="quã">quam</expan> <lb/>do che la mira dauanti hauera la &longs;ua conueniente cortezza, ouer ba&longs;&longs;ezza ri<lb/>&longs;petto a quella de drio.<emph.end type="italics"/> N. Q<emph type="italics"/>uando che la mira dauanti &longs;ara talmente piu &longs;car&longs;etta, <lb/>ouer piu ba&longs;&longs;a di quella de drio, che la no&longs;tra linea ui&longs;uale che tran&longs;ira per le i&longs;tremita <lb/>delle ponte di quelle, nel tuor la mira delle co&longs;e, uada &longs;olamente a toccare, e non &longs;egare <lb/>il tran&longs;ito, ouer uiaggio qual debbe far la balla (come nella &longs;otto&longs;critta figura appare <lb/>in ponto. </s>

<s>m.) & tutta la di&longs;tantia che &longs;ara dalla bocca de tal pezzo al ponto de tal toc <lb/>camento che nella &longs;otto&longs;critta figura &longs;aria la linea. </s>

<s>tanto &longs;e potra dire con ragio<lb/>ne, che tal pezzo tiri de mira, perche &longs;e per ca&longs;o il &longs;egno che &longs;e tuol de mira &longs;e trouara <lb/>à e&longs;&longs;ere nel ponto di tal toccamento, la balla dara preci&longs;amente in brocca, ma e&longs;&longs;endo <lb/>fuora di tal toccamento, cioe fuora del ponto. </s>

<s>m. la balla &longs;empre dara alquanto di &longs;otto <lb/>di tal &longs;egno, cioe di &longs;otto dalla brocca di quello, & tanto piu quanto piu &longs;ara remoto il <lb/>detto &longs;egno dal detto ponto del toccamento. </s>

<s>o. &longs;ia de là, ouer de quà da quello. </s>

<s>Vero è, <lb/>che e&longs;&longs;endo de quà, cioe uer&longs;o il pezzo, tal balla non puo dar molto ba&longs;&longs;a, perche tal <lb/>ba&longs;&longs;ezzamai &longs;e puo agguagliare alla altezza della mira de drio, che puo e&longs;&longs;ere circa <lb/>allamita della gro&longs;&longs;ezza del pezzo nella culattade drio (come fu detto anchora in fi<lb/>ne del Settimo que&longs;ito) e pero in tal ca&longs;o &longs;e è &longs;uggetto à poco errore in ri&longs;petto à quello <lb/>che potria occorrer quando che il &longs;egno fu&longs;&longs;e de la dal ponto del detto toccamento, co<lb/>me ogni commun intelletto puo con&longs;iderare.<emph.end type="italics"/> P. P<emph type="italics"/>erche uoleti co&longs;i attribuire alla di<lb/>&longs;tan<gap/>a del &longs;opradetto ponto del toccamento che &longs;ia il tirar de mira di tal pezzo, et non <lb/>alla di&longs;tantia del ponto della inter&longs;eccatione, nel quale e&longs;&longs;endoui il &longs;egno, la balla da me <lb/>de&longs;imamente in brocca, &longs;i come fa nel ponto del toccamento, come fu dimo&longs;trato nel <lb/>Settimo que&longs;ito.<emph.end type="italics"/> N. P<emph type="italics"/>erche il ponto della inter&longs;eccatione non ha luoco determinato,<emph.end type="italics"/><pb pagenum="17"/><emph type="italics"/>ma puo occorrere in infiniti luochi, &longs;econdo li infiniti modi, che la mira dauanti puo e&longs; <lb/>&longs;er di &longs;operchio piu corta di quella de drio, ma el ponto del toccamento non puo occor <lb/>rere, &longs;aluo che in un luoco &longs;olo, el qual luoco è il piu lontano della bocca del pezzo de <lb/>qual &longs;i uoglia altro, doue concorrer po&longs;&longs;a la no&longs;tra linea ui&longs;uale con el tran&longs;ito, ouer <lb/>uiaggio qual debbe far la balla, e&longs;&longs;endo adunque el piu lontano concor&longs;o de cadauno de <lb/>li altri concor&longs;i, che &longs;e inter&longs;ecano, & el manco uariabile: per tale ragioni à mi me pa <lb/>re, che piu meritamente à quel &longs;i debbia atribuire tal dignita, che ad alcuno di ponti <lb/>delle inter&longs;ecationi.<emph.end type="italics"/> P. V<emph type="italics"/>oi hauetiragione, & que&longs;ta con le due pa&longs;&longs;ate &longs;ono state <lb/>tre belle lettioni.<emph.end type="italics"/></s><figure></figure>

<s>QVESITO DECIMO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. F<emph type="italics"/>in qua me haueti fatto chiaro, donde procede la cau&longs;a, <expan abbr="quãdo">quando</expan> che <lb/>uno tirando de mira à uno &longs;egno alle uolte da in brocca, alle uolte di &longs;opra, et alle <lb/>uolte di &longs;otto del detto &longs;egno, hor uoria &longs;apere da che procede, che alcune uolte da mol <lb/>to costero dal detto &longs;egno tolto de mira.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;to puo procedere per due cau&longs;e, l'u<lb/>na è per le mire, le quale alle uolte l'una, ouer ambe due non &longs;ara preci&longs;amente nella <lb/>mezzara del pezzo, cioè nel mezzo della parte &longs;uperiore del pezzo, per il che tal <lb/>pezzo èsforzato à percuottere co&longs;tero, perche &longs;e la mira de drio &longs;ara fora del detto <lb/>ponto di mezzo: poniamo uer&longs;o la no&longs;tra man de&longs;tra, etiam el detto pezzo dara co&longs;te <lb/>ro alla mede&longs;ima banda de&longs;tra del &longs;egno, che &longs;e tol de mira, & &longs;e la detta mira de drio <lb/>&longs;ara fora del ponto di me<emph.end type="italics"/>zz<emph type="italics"/>o, & uer&longs;o la man &longs;ini&longs;tra, etiam el detto pe<emph.end type="italics"/>zz<emph type="italics"/>o percuote <lb/>ra co&longs;tero, & uer&longs;o la mede&longs;ima parte &longs;ini&longs;tra.<emph.end type="italics"/> P. </s>

<s>A <emph type="italics"/>me pare, che doueria e&longs;&longs;er al <lb/>contrario di quello che haueti detto, cioè che &longs;e la mira de drio &longs;ia fora del ponto di <lb/>me<emph.end type="italics"/>zz<emph type="italics"/>o, & uer&longs;o la banda destra, che il detto pe<emph.end type="italics"/>zz<emph type="italics"/>o ueria tirar costero uer&longs;o la ban<lb/>da &longs;ini&longs;tra.<emph.end type="italics"/> N. N<emph type="italics"/>on Signore, anci eglie, come hauemo detto, & accioche quella <lb/>per ragione ne &longs;ia certa, poniamo eßempi gratia, lo &longs;otto &longs;critto pe<emph.end type="italics"/>zz<emph type="italics"/>o, che la mira de <lb/>drio. </s>

<s>c. &longs;ia alquanto fora del ponto di me<emph.end type="italics"/>zz<emph type="italics"/>o, & uer&longs;o man de&longs;tra, & che la mira. </s>

<s>d. <lb/>dauanti &longs;ia iu&longs;tamente nel ponto de me<emph.end type="italics"/>zz<emph type="italics"/>o, & il &longs;egno incontrato, ouer tolto de mira <lb/>con le dette due mire, poniamo &longs;ia el ponto. </s>

<s>e. el qual ponto. </s>

<s>e. eglie nece&longs;&longs;ario, che &longs;ia <lb/>di&longs;crepante, ouer di&longs;co&longs;to dal uiaggio, che debbe far la balla, & uer&longs;o la banda &longs;ini<lb/>stra, come di &longs;otto in figura appare, &longs;upponendo che la linea f. </s>

<s>g. &longs;ia el uiaggio, che de <lb/>ue far la balla. </s>

<s>E&longs;&longs;endo adunque el&longs;egno. </s>

<s>e. di&longs;co&longs;to à <expan abbr="bãda">banda</expan> &longs;inistra del uiaggio, che de-<emph.end type="italics"/><pb/><emph type="italics"/>ue far la balla, &longs;eguita chel uiaggio che deue far la detta balla paßi di&longs;co&longs;to dal detto <lb/>&longs;egno, & uer&longs;o la banda destra di quello, come nello &longs;otto &longs;critto e&longs;&longs;empio &longs;i puo uede <lb/>re, & molto piu &longs;eguiria tal effetto &longs;e la mira. </s>

<s>d. dauanti fu&longs;&longs;e anchora lei fuora del det <lb/>to ponto di mezzo, ma uer&longs;o l'altra banda, cioe uer&longs;o la banda &longs;inistra.<emph.end type="italics"/></s><figure></figure>

<s>LA<emph type="italics"/>&longs;econda cau&longs;a, che puo cau&longs;ar tal effetto, ouer inconueniente puo procedere <lb/>del uacuo della canna, el quale molte uolte non è triuellato, ouer gettato dretta<lb/>mente nel me<emph.end type="italics"/>zz<emph type="italics"/>o del mettallo, cioe, che tal foro non è perfettamente nel mezzo del <lb/>mettallo, anci da una banda ui è piu &longs;ottile, ouer piu gro&longs;&longs;o, che non è dall'altra, talmen <lb/>te, che &longs;e ben le due mire fu&longs;&longs;eno collocate, & a&longs;&longs;ettate perfettamente nelli ponti di <lb/>me<emph.end type="italics"/>zz<emph type="italics"/>o di la parte &longs;uperiore del mettallo, tal pe<emph.end type="italics"/>zz<emph type="italics"/>o nece&longs;&longs;ariamente tirara co&longs;tero, <lb/>perche &longs;e ben le mire &longs;ono nelli ponti del me<emph.end type="italics"/>zz<emph type="italics"/>o del &longs;uperior mettallo non &longs;ono &longs;opra <lb/>la me<emph.end type="italics"/>zz<emph type="italics"/>ara del foro, & per que&longs;ta cau&longs;a da co&longs;tero, onde per remediar à tal inconue <lb/>niente, eglie nece&longs;&longs;ario <expan abbr="cõ">com</expan> indu&longs;tria ritrouare doue batte la mezzara del foro &longs;i de drio <lb/>come dauanti, & iui a&longs;&longs;ettaruile mire: & leuaraßi tal inconueniente al detto pezzo, <lb/>per trouar la me<emph.end type="italics"/>zz<emph type="italics"/>aria del detto foro, li bombardieri co&longs;tumano à retrouarla (per <lb/>quanto ho inte&longs;o da alcuni) con due li&longs;te, ouer cantinelle egualmente larghe, & rettißi <lb/>me, & una ne cazano nel pezzo rettamente per ilfondo della canna, & l'altra di fo<lb/>ra &longs;opra il pe<emph.end type="italics"/>zz<emph type="italics"/>o, & incontrano una parte di quella di &longs;opra el pezzo <expan abbr="cõ">com</expan> quella par <lb/>te, che auanza fora della bocca del pezzo di quella, che ua per dentro el pe<emph.end type="italics"/>zz<emph type="italics"/>o, & <lb/>co&longs;i doue batte el mezzo di quella di fora&longs;opra il pezzo &longs;i de drio, come dauanti ui <lb/>pongono l'una, & l'altra mira, el qual modo per e&longs;&longs;er a&longs;&longs;ai &longs;pediente, & di poco artifi <lb/>cio, non è da bia&longs;mare, quantunque per altre uie &longs;e potriano inue&longs;tigare.<emph.end type="italics"/> P. N<emph type="italics"/>on &longs;e <lb/>potria truouare el mo do di agiu&longs;tar le dette mire &longs;enza altra indu&longs;tria de dette li&longs;te, <lb/>ma&longs;olamente nel tirar continuamente el pezzo.<emph.end type="italics"/> N. S<emph type="italics"/>e potria &longs;i, cioe &longs;el pezzo de&longs; <lb/>&longs;e co&longs;tero, poniamo uer&longs;o la banda de&longs;tra del &longs;egno, &longs;pingendo la mira de drio alquan<lb/>to uer&longs;o la parte &longs;ini&longs;tra, & &longs;e per ca&longs;o lui percote&longs;&longs;e co&longs;tero uer&longs;o la banda &longs;inistra <lb/>del &longs;egno, &longs;pingere alquanto la detta mira de drio uer&longs;o la banda de&longs;tra, & co&longs;i andar <lb/><expan abbr="fac&etilde;do">facendo</expan>, tanto che &longs;e ritroui il perfetto luoco di tal mira, & ritrouato che &longs;ia far in tal <lb/>luoco un &longs;egno &longs;tabile (&longs;e tal mira fu&longs;&longs;e co&longs;a mobile) accioche un'altra uolta non &longs;i hab <lb/>bia cau&longs;a à ricercar tal luoco.<emph.end type="italics"/> P. V<emph type="italics"/>e ho inte&longs;o benißimo, & basta per que&longs;ta &longs;era.<emph.end type="italics"/></s>

<s>QVESITO VNDECIMO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. P<emph type="italics"/>erche cau&longs;a uno pezzo di artegliaria quanto è piu <expan abbr="lõgo">longo</expan> di <expan abbr="cãna">canna</expan>,<emph.end type="italics"/><pb pagenum="18"/><emph type="italics"/>tanto piu tira lontano.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;ta uo&longs;tra propo&longs;itione non è generale, cioe che <expan abbr="quã">quam</expan> <lb/>to piu è longo di canna un pezzo tanto piu tiri lontano. </s>

<s>Anci è da credere, & da te<lb/>ner per fermo, che ogni &longs;pecie di pezzo, ui &longs;ia una &longs;ua certa, & determinata longhez <lb/>za, co&longs;i debitamente proportionata alla poluere, & balla che porta quello tal pezzo, <lb/>la quale ogni uolta che &longs;ia preterita (in qual modo &longs;i uoglia) tal pezzo &longs;empre deb<lb/>bia tirar manco, e per tanto dico, che pote&longs;&longs;e hauer perfetta cognitione di que&longs;ta &longs;ua <lb/>proportionata longhezza in ogni &longs;pecie di pe<emph.end type="italics"/>zz<emph type="italics"/>o non accaderia à fare pezzi <expan abbr="lõghi">longhi</expan>, <lb/>& pezzi corti di canna (&longs;aluo per neceßità) perche ogni uolta che una &longs;pecie di pez<lb/>zo fu&longs;&longs;e fatto piu <expan abbr="lõgo">longo</expan> di quella &longs;ua proportionata <expan abbr="lõghe">longhe</expan><emph.end type="italics"/>zz<emph type="italics"/>a, ouer piu corto tal pez <lb/>zo &longs;empre tirariamanco (dico con una mede&longs;ima quantita di poluere.<emph.end type="italics"/> P. C<emph type="italics"/>redo che <lb/>uoi diciati el uero, perche uedo che à tutte le &longs;pecie de canoni, & altri pezzi corti, per <lb/>tirarli ordinariamente ui danno di poluere li dui terzi di quello, che pe&longs;a la balla. </s>

<s>Ma <lb/>à tutte le &longs;pecie di colobrine, per e&longs;&longs;er pezzi piu longhi di canna à cadauna ordinaria <lb/>mente per tirarla ui danno li quatro quinti di quello pe&longs;a la balla, & tutto questo cre<lb/>do chel facciano, perche daendoli &longs;olamente li dui terzi, come &longs;i co&longs;tuma dar alli cano<lb/>ni for&longs;i che la non tiraria tanto, come fanno li canoni.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;to è una co&longs;a certa<lb/>mente, che io non &longs;apeua, & e&longs;&longs;endo co&longs;i ho molto à caro hauerla inte&longs;a.<emph.end type="italics"/> P. A<emph type="italics"/>nci <lb/>que&longs;ta è una co&longs;a, che è notißima ad ogni minimo bombardiero.<emph.end type="italics"/> N. C<emph type="italics"/>redo, che e&longs;&longs;en <lb/>do co&longs;i ui debbia e&longs;&longs;er nota à cadauno di loro. </s>

<s>Ma io non &longs;o che materia &longs;ia que&longs;ta, & <lb/>molto mi marauiglio di Principi, che fanno gettar tai pezzi con uno difetto tanto eui <lb/>dente per uoler poi medicar quel tal effetto con &longs;uo gran <expan abbr="di&longs;cõmodo">di&longs;commodo</expan>, & &longs;pe&longs;a.<emph.end type="italics"/> P. M<emph type="italics"/>a <lb/>&longs;e ben que&longs;te colobrine ui&longs;i da piu poluere di quello, che &longs;e fa alli canoni, tirano poi an <lb/>chora piu di quello fanno li canoni.<emph.end type="italics"/> N. N<emph type="italics"/>e ha mai fatto far i&longs;perientia uo&longs;tra Signo<lb/>ria di que&longs;to.<emph.end type="italics"/> P. I<emph type="italics"/>o non ho mai fatto far que&longs;ta &longs;perientia, nondimeno io ho per fer<lb/>mo, che &longs;ia co&longs;i, perche etiam tutti li <expan abbr="bõbardieri">bombardieri</expan> <expan abbr="hãno">hanno</expan> <expan abbr="uniuer&longs;alm&etilde;te">uniuer&longs;almente</expan> que&longs;ta opinione, <lb/>& non puo e&longs;&longs;er altramente, perche e&longs;&longs;endo la colobrina piu <expan abbr="lõga">longa</expan> di canna del canone, <lb/>& daendoli poi anchor piu poluere di quello &longs;i fa al canone, el <expan abbr="nõ">non</expan> puo e&longs;&longs;er altramen<lb/>te, che la non tiri a&longs;&longs;ai piu di quello che fa il canone, & la &longs;pe&longs;a <expan abbr="nõ">non</expan> è tanto grande, come <lb/>uoi la fati, perche in uno canone da libre. </s>

<s>20. di balla ui &longs;i da ordinariamente per ti<lb/>rarlo libre. </s>

<s>4. di poluere, & alla colobrina pur da libre. </s>

<s>20. di balla ui &longs;i da <lb/>ordinariamente per tirarla lire. </s>

<s>16. di poluere, che &longs;aria &longs;olamente lire. </s>

<s>2. onze.<emph.end type="italics"/> S. <emph type="italics"/>de <lb/>piu, &longs;i che que&longs;ta &longs;pe&longs;a de lire. </s>

<s>8. de poluere de piu è una mi&longs;eria.<emph.end type="italics"/> N. I<emph type="italics"/>o <expan abbr="nõ">non</expan> uo <lb/>glio affermare, che la colobrina debbia tirar piu, ouer meno del &longs;uo canone <21> <expan abbr="nõ">non</expan> e&longs;&longs;er <lb/>tal co&longs;a molto chiara, <21> <expan abbr="nõ">non</expan> hauer&longs;i perfetta notitia della &longs;ua proportionata <expan abbr="lõghezza">longhezza</expan> <lb/>(detta di &longs;opra) ma &longs;e eglie il uero, che la colobrina <expan abbr="cargãdola">cargandola</expan> &longs;olamente con tanta pol <lb/>uere, quanta &longs;i da al &longs;uo canone, la non tiritanto quanto fa el &longs;uo canone, io &longs;on certißi <lb/>mo, che à uoler che la tiri preci&longs;amente tanto, <expan abbr="quãto">quanto</expan> fa el &longs;uo canone, eglie nece&longs;&longs;ario à <lb/>porui <expan abbr="d&etilde;tro">dentro</expan> piu poluere di quello &longs;i fa al canone, & tanto piu poluere ui uora, quanto <lb/>maggior &longs;ara la <expan abbr="differ&etilde;tia">differentia</expan> di dui tiri fatti <expan abbr="cõ">com</expan> egual <expan abbr="quãtita">quantita</expan> di poluere, et <21> <expan abbr="tãto">tanto</expan> <expan abbr="cõchiu">conchiu</expan> <lb/>do chel potria e&longs;&longs;er <expan abbr="facilm&etilde;te">facilmente</expan>, che <expan abbr="tirãdo">tirando</expan> la &longs;opra detta colobrina da. </s>

<s>20. <expan abbr="cõ">com</expan> la poluere <lb/>che <expan abbr="ordinariam&etilde;te">ordinariamente</expan> ui &longs;i da de piu del canone, che quella tal poluere <expan abbr="nõ">non</expan> &longs;ara for&longs;i <expan abbr="&longs;offi-&etilde;te">&longs;offi<lb/>ente</expan> à farla arriuare à quel &longs;egno, che tira el canone, uero è chel potria e&longs;&longs;er anchora<emph.end type="italics"/><pb/><emph type="italics"/>che da quelli primi, che determinorono, che ui &longs;e doue&longs;&longs;e dare li detti quattro quinli di <lb/>quello, che pe&longs;a la balla, ui la proportionarono for&longs;i talmente con la i&longs;perientia, che la <lb/>tira&longs;&longs;e tanto, quanto &longs;a el &longs;uo canone, & for&longs;i piu, ma tal co&longs;a non &longs;i potria affermare, <lb/>ne negare &longs;enza qualche particolar i&longs;perientia, nondimeno &longs;ia come &longs;i uoglia &longs;e la det <lb/>ta colobrina, con la mede&longs;ima poluere, che &longs;i da al canone non tira tanto, quanto fa el <lb/>&longs;uo canone. </s>

<s>Eglie un'error euidentißimo, & è una co&longs;a rediculo&longs;a, à dir poi di uoler re <lb/>mediare à tal errore con dire: metteremo, ouer daremo alquanto piu quantita de polue <lb/>re alla detta colobrina, accioche la tiri tanto, quanto fa detto &longs;uo canone, ouer piu di <lb/>quello, la qual poluere, che ui &longs;i da di piu, che la de&longs;&longs;e mede&longs;imamente al detto canone <lb/>for&longs;i che tiraria molto piu della detta colobrina. </s>

<s>Circa alla &longs;pe&longs;a, che ui ua de piu, qua<lb/>la uostra Signoria dice e&longs;&longs;er una mi&longs;eria. </s>

<s>Dico e&longs;&longs;er molto maggiore di quello, che uo <lb/>&longs;tra Signoria &longs;i pen&longs;a: perche, &longs;e non me inganno, facendo&longs;i le dette colobrine piu lon<lb/>ghe delli canom, la ragion uole, che &longs;i facciano anchor piu gro&longs;&longs;e di metallo. </s>

<s>Il che e&longs;<lb/>&longs;endo, ui intra molto piu metallo, che in uno canone, & con&longs;equentemente debbeno e&longs;<lb/>&longs;er molto piu graue delli &longs;uoi canoni, et e&longs;&longs;endo piu graue, uogliono anchora (per con <lb/>durle) piu numero de buoui, ouer caualli, di quello uoleno li canoni, & maggior molti<lb/>tudine de huomini, che gouerni quelli, & maggior quantita di uettouaglia &longs;i per li ani <lb/>mali, come per li huomini, che gouernan quelli oltra il <expan abbr="&longs;tip&etilde;dio">&longs;tipendio</expan>, che à quelli ui &longs;i da per <lb/>ordinario ò dal principe, ouer da quelli communi, che li manda per comandamento del <lb/>principe, &longs;i uede adunque da un picciolo errore fatto nel principio quanti ne &longs;eguita <lb/>nel fine, & &longs;e tali errori &longs;ono a&longs;&longs;ai in una colobrina da lire. </s>

<s>20. di balla, molto piu &longs;e <lb/>trouara occorrere in quelle di. </s>

<s>60. lire di balla, come ho inte&longs;o da bom <lb/>bardieri, che &longs;e co&longs;tumano.<emph.end type="italics"/> P. S<emph type="italics"/>enza dubbio, che piu metallo intra in le colobrine, <lb/>che nelli canoni, & con&longs;equentamente per condurle, ui ua piu animali, & di que&longs;to ne <lb/>azzo una notta in un mio memoriale &longs;i del mettallo che ui intra, & della &longs;ua longhez<lb/>za di cadauna &longs;orte pezzo, come delli animali, che gliua à condurle.<emph.end type="italics"/> N. D<emph type="italics"/>i gratia <lb/>uo&longs;tra &longs;ignoria me ne dia la coppia, perche di que&longs;te particolarita ne potria for&longs;i ca<lb/>uar con tempo qualche co&longs;trutto.<emph.end type="italics"/> P. M<emph type="italics"/>olto uolentieri, portame qua quel mio me<lb/>moriale, che è in la mia ca&longs;&longs;a.<emph.end type="italics"/> SERVO. E<emph type="italics"/>ccolo Signore.<emph.end type="italics"/> P. H<emph type="italics"/>or &longs;criueti co&longs;i. <lb/>Vn falconetto da lire tre di balla di piombo ua longo piedi cinque e meggio, & di met<lb/>tallo ui intra com munamente lire quatrocento, & à condurlo ui uuol caualli pa<lb/>ra uno.<emph.end type="italics"/></s>

<s>V<emph type="italics"/>n falcon da lire. </s>

<s>6. ua longo piedi. </s>

<s>890. di mettallo, & per condur<lb/>lo caualli para.<emph.end type="italics"/> 2. </s>

<s>A<emph type="italics"/>&longs;pidi da lire. </s>

<s>12. de longhezza de pie. </s>

<s>5. e meggio, uuol di mettallo lire. </s>

<s>1300. & per <lb/>condurli caualli para.<emph.end type="italics"/> 3. </s>

<s>12. de longhezza de pie.<emph.end type="italics"/> S. <emph type="italics"/>uuol di mettallo lire. </s>

<s>1400. & per condurli <lb/>caualli para.<emph.end type="italics"/> 4. </s>

<s>12. de longhezza de pie. </s>

<s>9. uuol di mettallo lire. </s>

<s>2150. & per condurli <lb/>caualli para.<emph.end type="italics"/> 5. </s>

<s>10. de longhezza de pie. </s>

<s>8. uuol di mettallo iire. </s>

<s>1300. & per condurli <lb/>caualli para.<emph.end type="italics"/> 3. </s><pb pagenum="19"/>

<s>C<emph type="italics"/>olobrina da lire. </s>

<s>16. di balla di ferro de longhezza de piedi. </s>

<s>7. e meggio, uol di metal<lb/>lo lire. </s>

<s>1750. & per condur la caualli para. </s>

<s>P<emph type="italics"/>a&longs;&longs;auolante da lire. </s>

<s>16. di longhezza piedi. </s>

<s>12. uol di metallo lire. </s>

<s>2740. & per con<lb/>durlo buoui para.<emph.end type="italics"/> 5. </s>

<s>C<emph type="italics"/>olobrina da lire. </s>

<s>14. di longhezza piedi. </s>

<s>8. e meggio, uol di metallo lire. </s>

<s>2233. & <lb/>per condurla buoui para.<emph.end type="italics"/> 5. </s>

<s>C<emph type="italics"/>olubrina da lire. </s>

<s>20. di longhezza piedi. </s>

<s>10. uol di metallo lire. </s>

<s>4300. & per con<lb/>durla buoui para.<emph.end type="italics"/> 7. </s>

<s>V<emph type="italics"/>n canon da lire. </s>

<s>20. di longhezza piedi. </s>

<s>7. uol di metallo lire. </s>

<s>2200. & per con<lb/>durlo buoui para.<emph.end type="italics"/> 5. </s>

<s>V<emph type="italics"/>n canon da lire. </s>

<s>20. di longhezza piedi. </s>

<s>8. uol di metallo lire. </s>

<s>2500. & per condur<lb/>lo buoui para. </s>

<s>6. <lb/>Vna colobrina da lire. </s>

<s>30. di longhezza piedi uol di metallo lire & <lb/> per condurla buoui para. </s>

<s>8. <lb/>Vn canon da lire. </s>

<s>30. di longhezza piedi uol di metallo lire & per <lb/> condurlo buoui para.<emph.end type="italics"/> 6. </s>

<s>V<emph type="italics"/>na colobrina da lire. </s>

<s>50. da piedi. </s>

<s>10. e meggio, di <expan abbr="lõghezza">longhezza</expan> uol di metallo lire. </s>

<s>5387. <lb/>& per condurla buoui para.<emph.end type="italics"/> 12. </s>

<s>E<emph type="italics"/>t una colobrina pur da lire. </s>

<s>50. di longhezza de piedi. </s>

<s>12. uol di metallo lire. </s>

<s>6600. <lb/>& per condurla buoui para.<emph.end type="italics"/> 14. </s>

<s>V<emph type="italics"/>n canon da lire. </s>

<s>50. di longhezza de piedi. </s>

<s>8. e meggio, uol di metallo lire. </s>

<s>4000. & <lb/>per condurlo para. </s>

<s>9. de buoui.<emph.end type="italics"/></s>

<s>V<emph type="italics"/>n canon da lire. </s>

<s>100. di longhezza de piedi. </s>

<s>9. e meggio, uol di metallo lire. </s>

<s>8800. <lb/>& per condurlo buoui para.<emph.end type="italics"/> 18. </s>

<s>C<emph type="italics"/>anoni da lire. </s>

<s>120. di longhezza piedi. </s>

<s>10. uol di metallo lire. </s>

<s>12459. & per con<lb/>durli buoui para.<emph.end type="italics"/> 25. </s>

<s>C<emph type="italics"/>olobrine da lire. </s>

<s>120. di longhezza de piedi. </s>

<s>15. uol di metallo lire. </s>

<s>13000. & per <lb/>condurle buoui para.<emph.end type="italics"/> 28. </s>

<s>N. V<emph type="italics"/>o&longs;tra Signorla non me ne dica piu, perche mi bastaua della mita di questi che ho <lb/>notati.<emph.end type="italics"/> P. M<emph type="italics"/>e ne resta de dirui &longs;olamente &longs;ei altri, e pero compiteli, cioe ui &longs;ono an<lb/>chora bombarde de lire. </s>

<s>250. di balla di pietra, di longhezza piedi. </s>

<s>10. e meggio, che <lb/>uol di metallo lire. </s>

<s>8900. & per condurle para. </s>

<s>19. de buoui.<emph.end type="italics"/></s>

<s>150. longhe piedi. </s>

<s>10. che uol di metallo lire. </s>

<s>6146. & per condurle buo<lb/>ui para.<emph.end type="italics"/> 12. </s>

<s>100. longhe pur piedi. </s>

<s>10. che uol di metallo lire. </s>

<s>5500. & per condurle <lb/>buoui para.<emph.end type="italics"/> 11. </s>

<s>100. longhe &longs;olamente piedi. </s>

<s>8. e meggio, che uol di metallo lire. <lb/>4500. & per condurle buoui para.<emph.end type="italics"/> 9. </s>

<s>A<emph type="italics"/>nchora ui &longs;ono cortaldi da lire. </s>

<s>45. longhi piedi. </s>

<s>7. che uoleno di metallo lire. </s>

<s>2740. <lb/>& per condurli buoui para.<emph.end type="italics"/> 5. </s>

<s>V<emph type="italics"/>n'altra &longs;orte de cortaldi da lire. </s>

<s>30. longhi piedi. </s>

<s>7. e meggio, uoleno di metallo lire. <lb/>1600. & per condurli buoui para. </s>

<s>3. & co&longs;i faremo fine.<emph.end type="italics"/><pb/>N. L<emph type="italics"/>e &longs;opra annotate lire &longs;ono alla &longs;ottile, ouer alla gro&longs;&longs;a, & &longs;imilmente li piedi &longs;o<lb/>no piedi alia mi&longs;ura di Venetia, ouer maggiore, ouer menore di quella.<emph.end type="italics"/> P. L<emph type="italics"/>e lire cre <lb/>do &longs;tano tutte alla &longs;ottile, delli piedi non uel &longs;aprei dire, ma perche que&longs;ta nota mi fu da <lb/>ta à Barletta, potria e&longs;&longs;er che fu&longs;&longs;eno piedi à mi&longs;ura di quelle bande, pur credo &longs;iano <lb/>egualt à questi.<emph.end type="italics"/> N. H<emph type="italics"/>or non importa hauer la co&longs;a tanto per &longs;ottile, ma me ba&longs;ta ha <lb/>uer inie&longs;o che in un canone da. </s>

<s>50. longo piedi. </s>

<s>8. e meggio, uol di metallo lire. </s>

<s>4000. <lb/>Et le colc brine pur da. </s>

<s>50. ui ne una &longs;orte longa piedi. </s>

<s>12. che uol di metallo lire. </s>

<s>6600. <lb/>che &longs;arian lire. </s>

<s>2600. di metallo piu del canone, & questa uol para. </s>

<s>5. de buoui di piu <lb/>di quello uol il canone, & li detti cinque para de buoui credo uorranno cinque huomini <lb/>che li gouerni, hor guardati &longs;e que&longs;to importa à longo andare, oltra la &longs;pe&longs;a della pol<lb/>uere che uole de piu à ogni colpo che la &longs;e tira.<emph.end type="italics"/> P. L<emph type="italics"/>a importa &longs;i in una, ma molto <lb/>piu importa in molte, & certamente &longs;e fu&longs;&longs;e &longs;ano ne uorria ueder la i&longs;perientia per e&longs;<lb/>&longs;er co&longs;a molto importante.<emph.end type="italics"/></s>

<s>QVESITO DVODECIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> S. P<emph type="italics"/>rior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;era fu a&longs;&longs;ai di&longs;putato qualmente à ogni artegliaria lo e&longs;&longs;er <lb/>troppo longa di canna, & etiam lo e&longs;&longs;er troppo cortanoce alli tiri di quella, hor <lb/>uorria &longs;apere di quanta longhezza &longs;e potria con ragion naturale determinare che do<lb/>ue&longs;&longs;e e&longs;&longs;er la &longs;ua canna, à douer e&longs;&longs;er debitamente proportionata alla &longs;ua conueniente <lb/>mi&longs;ura di poluere, & balla.<emph.end type="italics"/> N. L<emph type="italics"/>a &longs;ua longhezza uorria e&longs;&longs;er tanta che in quello <lb/>i&longs;tante che tutta la poluere compi&longs;&longs;e di e&longs;&longs;er ri&longs;olta in fuoco, in quello mede&longs;imo la bal <lb/>la &longs;e ritroui e&longs;&longs;er peruenuta preci&longs;amente nella i&longs;tremita della canna, cioe preci&longs;amente <lb/>alla bocca del pezzo, perche in tal i&longs;tante tutta la uirtu i&longs;pul&longs;iua della poluere uiene à <lb/>operare nella balla nel colmo della &longs;ua furia, ouer po&longs;&longs;anza, & dapoi che tal uirtu ha <lb/>operato nella detta balla, la detta balla non ritroua co&longs;a alcuna, che ui impedi&longs;ca, ouer <lb/>che gli interrompa il moto eccetto che l'aere, e pero debbe andar piu in tal longhezza, <lb/>che &longs;e tal canna fu&longs;&longs;e piu longa, ouer piu corta, perche &longs;e la canna fu&longs;&longs;e piu corta, la bal <lb/>la u&longs;ci&longs;&longs;e della bocca del pezzo auanti che &longs;ia compita di e&longs;&longs;er ri&longs;olta in fuoco tutta la <lb/>poluere, e pero tutta la uirtu i&longs;pul&longs;iua della poluere non uiene à operare nella balla, an <lb/>ci parte di quella re&longs;ta una, & puo accadere facilmente, che molta poluere u&longs;ci&longs;ca &longs;a<lb/>na fuora del pezzo in&longs;ieme con la balla, cioe poluere non tocca dal fuoco. </s>

<s>Ma quando <lb/>poi che la detta canna fu&longs;&longs;e piu longa, in quello i&longs;tante che compi&longs;&longs;e da e&longs;&longs;er ri&longs;olta in <lb/>&longs;uoco tutta la poluere, la balla in quel mede&longs;imo non &longs;i troua co&longs;i preci&longs;amente alla boc <lb/>ca del pezzo, ma alquanto piu in dentro, e per tanto la detta balla nel colmo della &longs;ua ue <lb/>locita, &longs;correndo per quella poca parte di canna che ui re&longs;taua à compire, la detta can<lb/>na grandemente ue interrompe il &longs;uo moto, perche ogni uolta che un corpo immobile <lb/>tocchi alcun corpo che &longs;i moua &longs;empre ui interrompe il moto, & tanto piu, quanto che <lb/>maggior parte, ouer per maggior tempo ua toccando quello.<emph.end type="italics"/> P. V<emph type="italics"/>e ho inte&longs;o beni&longs;<lb/>&longs;imo, & que&longs;te uo&longs;tre ragioni me piaceno molto, ne uoglio che procedemo in altro per <lb/>que&longs;ta &longs;era.<emph.end type="italics"/></s><pb pagenum="20"/>

<s>QVESITO DECIMOTERTIO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di <lb/>Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;era uoi dimo&longs;tra&longs;ti con buone ragioni di quanta longhezza &longs;e <lb/>potria con ragione determinare che doue&longs;&longs;e e&longs;&longs;er la longhezza della canna d'un <lb/>pezzo di Artegliaria ad e&longs;&longs;ere debitamente proportionata alla conueniente mi&longs;ura <lb/>della poluere, & balla che &longs;i co&longs;tuma à dare à un tal pezzo, la qual mi&longs;ura conueniente <lb/>il &longs;e &longs;uppone che &longs;ia li dui terzi di quello che pe&longs;a la balla. </s>

<s>Hor &longs;e il fu&longs;&longs;e uno pezzo <lb/>(poniamo uno canon da. </s>

<s>20.) che per &longs;orte haue&longs;&longs;e quella &longs;ua debita & proportiona<lb/>ta longhezza che ui &longs;i conuiene alli dui terzi poluere di quello pe&longs;a la balla, che gli de&longs; <lb/>&longs;e poi piu poluere, cioe piu delli detti dui terzi di quello che pe&longs;a la balla, ue adimando <lb/>&longs;e tal pezzo tirara piu del &longs;olito.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio che lui tirara alquanto piu del&longs;o <lb/>lito.<emph.end type="italics"/> P. Q<emph type="italics"/>uesto &longs;aria contra alle ragioni da uoi hier&longs;era adutte, perche in que&longs;to ca&longs;o <lb/>la balla &longs;ara u&longs;cita della bocca del pezzo auanti che tutta la detta poluere &longs;ia compita di <lb/>ri&longs;oluer&longs;i in fuoco, e pero quella parte de uigore, che &longs;ara cau&longs;ato da quella tal parte de <lb/>poluere di piu, dapoi che &longs;ara u&longs;cita la balla della bocca del pezzo &longs;ara fru&longs;ta è uana, <lb/>e pero tal pezzo non doueria tirar piu, per tal poluer dataui de piu (re&longs;tando il uigor <lb/>di quella in tutto uano è fru&longs;to) anci doueria tirare &longs;olamente &longs;econdo il &longs;olito.<emph.end type="italics"/> N. <lb/>Q<emph type="italics"/>uel uigore uento&longs;o, che generara quella parte di poluer dataui de piu (dapoi che la <lb/>balla &longs;ara u&longs;cita dalla bocca del pezzo) à benche lui non potra operare nella detta balla <lb/>mentre che quella &longs;ara dentro della canna del pezzo, il non re&longs;tara pero da operare <lb/>in quella, dapoi che &longs;ara u&longs;cita dalla bocca del pezzo, cioe in aere, perche tutto quel <lb/>uento che uien cau&longs;ato dalla poluere nella detta canna &longs;empre &longs;eguita per alquanto uni<lb/>tamente la balla, anchor che la balla &longs;ia u&longs;cita per alquanto fuora della bocca del pez<lb/>zo, e pero ui augumenta alquanto il moto, uero è che tal uigor uento&longs;o non operara <lb/>tanto nel &longs;pingere la detta balla (per trouarla co&longs;i fuora della detta canna) come faria <lb/>&longs;e la troua&longs;&longs;e dentro nella canna, cioe che tal &longs;uo operare non &longs;ara proportionale à <lb/>quella quantita di poluere po&longs;taui di piu, anei &longs;ara molto lontano di tal proportione.<emph.end type="italics"/><lb/>P. I<emph type="italics"/>o non intendo que&longs;to operar poportionale.<emph.end type="italics"/> N. O<emph type="italics"/>perar proportionale &longs;e in<lb/>tende in que&longs;to modo, poniamo e&longs;&longs;empi gratia che que&longs;to no&longs;tro canon da lire uenti, ti<lb/>randolo à una data elleuatione con li dui terzi poluere di quello pe&longs;a la balla, tiri pa&longs;&longs;a <lb/>1000. tirandolo poi con tanta poluere quanto pe&longs;a la balla, la qual poluere ueneria à <lb/>e&longs;&longs;ere un tanto è meggio di quello era prima (cioe dalli dui terzi) hor dico, che &longs;e que<lb/>&longs;ta poluere che ui fu&longs;&longs;e aggionta de piu opera&longs;&longs;e proportionalmente nella balla, tal <lb/>pezzo doueria lirare alla mede&longs;ima elleuatione preci&longs;amente pa&longs;&longs;a. </s>

<s>1500. cioe un tan <lb/>to è meggio di quello fece con li dui terzi poluere. </s>

<s>Et io dico, che il pezzo in &longs;imil ca<lb/>&longs;o non &longs;olamente il non tiraria li detti pa&longs;&longs;a. </s>

<s>500. de piu, ma for&longs;i che il non tiraria <lb/>manco la mita di piu, cioe pa&longs;&longs;a. </s>

<s>250. Ma &longs;upponemo che lui tira&longs;&longs;e li detti pa&longs;&longs;a. <lb/>250. de piu (che in &longs;umma &longs;aria pa&longs;&longs;a. </s>

<s>1250.) Anchora dico, che tira&longs;&longs;e il me<lb/>de&longs;imo canone con uno altro terzo di poluere de piu, cioe con tanta poluere quan<lb/>to pe&longs;a la balla, & un terzo piu, che &longs;aria quattro terzi que&longs;to &longs;econdo terzo non <pb/>accre&longs;ceria il detto tiro tanto quanto fece il primo terzo, cioe chel non accre&longs;cera quel <lb/>li pa&longs;&longs;a. </s>

<s>250. che fu &longs;uppo&longs;to che face&longs;&longs;e il primo terzo, ma cre&longs;ceria molto manco de <lb/>dettipa&longs;&longs;a. </s>

<s>250. & &longs;imilmente, che ui aggionge&longs;&longs;e anchora un'altro terzo di poluere di <lb/>piu que&longs;t'altro terzo accre&longs;ceria pur il tiro, ma molto manco di quello hauera fatto lo <lb/>&longs;econdo terzo, che fu aggionto, &longs;i che ogni accre&longs;cimento di poluere andaria per fina à <lb/>un certo termine &longs;empre accre&longs;cendo alquanto il tiro, ma tal cre&longs;cere andaria &longs;empre <lb/>&longs;minuendo del &longs;uo anciano per fina al detto termine, ma da quello termine in &longs;u&longs;o che ui <lb/>aggionge&longs;&longs;e piu poluere non faria accre&longs;cere piuil detto tiro, anci potria e&longs;&longs;er tanto lo <lb/>accre&longs;cimento della poluere che non &longs;olamente la non faria cre&longs;cere, ma faria calare a&longs; <lb/>&longs;ai il detto tiro.<emph.end type="italics"/> P. V<emph type="italics"/>oi diceti una co&longs;a, che non mi con&longs;ona molto, cioe à dire che ui &longs;e <lb/>potria aggiongere, ouer accre&longs;cerui tanta poluere oltra à un certo termine, che non &longs;o <lb/>lamente la non faria accre&longs;cere il tiro à tal pe<emph.end type="italics"/>zz<emph type="italics"/>o, ma che lo faria callare, la qual co&longs;a <lb/>me pare molto fuora diragione.<emph.end type="italics"/> N. A<emph type="italics"/>nci è ragioneuole per commun prouerbio: qual <lb/>dice, che ogni &longs;uperchio rompe il coperchio, & per chiarire ben que&longs;to dubbio bi&longs;o<lb/>gna uenir alli e&longs;tremi. </s>

<s>Et per tanto dico, che chicarga&longs;&longs;e que&longs;to tal pe<emph.end type="italics"/>zz<emph type="italics"/>o con tanta <lb/>poluere quanto puo tener la canna, la&longs;&longs;andoui &longs;olamente nella i&longs;tremita di detta canna <lb/>tanto diuacuo quanto è il diametro della balla, cioe tanto che ui &longs;t pote&longs;&longs;e mettere la bal <lb/>la à pena, & tir arlo poi in tal modo cargato, adimando à uo&longs;tra Signoria, &longs;e quella cre <lb/>de, che quello tiraria piu, ouer meno di quello faria à cargarlo &longs;econdo l'ordinario, cioe <lb/>con dui terzi poluere di quello pe&longs;a la balla.<emph.end type="italics"/> P. I<emph type="italics"/>o credo che chi il tira&longs;&longs;e in tal modo <lb/>cargato che tal pezzo crepparia, & che uer amente il &longs;uperchio di detta poluere, rom <lb/>peria il coperchio (come dice il uo&longs;tro prouerbio) cioe che romperia il detto pezzo.<emph.end type="italics"/><lb/>N. N<emph type="italics"/>on uoglio &longs;tare à di&longs;putare che in un tal ca&longs;o, tal pezzo doue&longs;&longs;e ragioneuolmen <lb/>te creppare, ouer non creppare, perche longa &longs;aria tal di&longs;putta, ma &longs;uppo&ngrave;iamo pur, <lb/>che tal pezzo non creppa&longs;&longs;e.<emph.end type="italics"/> P. I<emph type="italics"/>n que&longs;to ca&longs;o che gli pone&longs;&longs;e una balla che ui entra&longs; <lb/>&longs;e talmente &longs;tretta, che fu&longs;&longs;e nece&longs;&longs;ario à farla entrar per forza di ma<emph.end type="italics"/>zz<emph type="italics"/>ate. </s>

<s>Io ten<lb/>go per fermo che tiraria molto lontano.<emph.end type="italics"/> N. I<emph type="italics"/>n tutte le co&longs;e che &longs;ono &longs;tate dette, et che <lb/>&longs;e hanno da dire, circa alle co&longs;e di tiri delle artegliarie, &longs;empre &longs;e &longs;uppone (non &longs;pecifi<lb/>cando altro) che le balle &longs;iano, eguale &longs;i in grandezza, come di pe&longs;o, etiam che &longs;iano <lb/>egualmente rotonde, perche cia&longs;cuno di questi accidenti fanno uarìar li tiri.<emph.end type="italics"/> E <emph type="italics"/>per tan<lb/>to in que&longs;to no&longs;tro ca&longs;o dico, che &longs;e debbe intendere, che la balla che &longs;e ha datir are conla <lb/>canna piena di poluer &longs;ia di quella mede&longs;ima qualita di pe&longs;o, mi&longs;ura, & rotondita, che <lb/>quella che &longs;e ha da tirare &longs;econdo l'ordinario, cioe con li dui terzi poluere di quello pe <lb/>&longs;a la balla.<emph.end type="italics"/> P. P<emph type="italics"/>igliandola per il modo che uoi diceti, in effetto la co&longs;a è dubbio&longs;a.<emph.end type="italics"/> N. <lb/>N<emph type="italics"/>on ui è dubbio alcuno, anci è co&longs;a certa che tirandola conla canna piena di poluere ti <lb/>rara molto, & molto manco di quello faria con la poluere ordinaria.<emph.end type="italics"/> P. P<emph type="italics"/>erche ra<lb/>gione.<emph.end type="italics"/> N. L<emph type="italics"/>aragion è que&longs;ta, che ognipoluere (per fina che la &longs;ia) abbru&longs;a in tem<lb/>po, cioe che prima abbru&longs;a quella che &longs;e ritroua nel luoco doue ui &longs;e da fuoco, di quella <lb/>che è alquanto remota dal detto luoco, & quella, che è piu propinqua al detto luoco &longs;e <lb/>abbru&longs;a alquanto auanti di quella, che ui è men propinqua, ouer che ui è piu remota, <lb/>&longs;tante adunque que&longs;ta propo&longs;itione, eglie manife&longs;to che qual &longs;i uoglia parte di quella tal <lb/>poluere, che &longs;e ritroua nella canna del detto pezzo, che &longs;ia piu propinqua al foro doue<emph.end type="italics"/><pb pagenum="21"/><emph type="italics"/>&longs;e gli da el fuoco, &longs;e abbru&longs;a auanti di quella, che glie piu remota, & per e&longs;&longs;er me<lb/>glio inte&longs;o, diuidamo con la mente tutta la longhezza della poluere, che &longs;e ritroua in <lb/>detta canna in quattro parti equali. </s>

<s>Dico adunque, che quella quarta parte, che termi <lb/>na al bu&longs;o, doue che ui &longs;tda el fuoco, &longs;e abbru&longs;a auanti dell' altra con&longs;e quente parte, & <lb/>bru&longs;iando genera tanta gran quantita di e&longs;&longs;alation uento&longs;a, che diece luochi equali al <lb/>luoco della poluere abbru&longs;ata non &longs;ariano capaci per la detta e&longs;&longs;alatione, & per tan<lb/>to &longs;econdo che la detta e&longs;&longs;alatione continuamente &longs;e ua cau&longs;ando, per la poluere, che <lb/>continuamente &longs;e ua abbru&longs;ando. </s>

<s>Anchora eglie nece&longs;&longs;ario à quella tal e&longs;&longs;alatione con <lb/>tinuamente andar&longs;e acqui&longs;tando per forza luoco maggiore a&longs;&longs;ai, di quello della polue <lb/>re, da che eglie cau&longs;ata, & questo luoco la nol puol acqui&longs;tare, &longs;aluo che per due uie. <lb/>La prima è &longs;pingendo per forza auanti il re&longs;tante della poluere, non abbru&longs;ata, che è <lb/>uer&longs;o la bocca del pezzo in&longs;teme con la balla, oueramente far crepare il pezzo, & <lb/>perche eglie da credere, che piu facil ui &longs;ia à &longs;pingere fuora la detta poluere in&longs;ieme <expan abbr="cõ">com</expan> <lb/>la balla, che à far creppar il pezzo, & maßime per e&longs;&longs;er la balla nella i&longs;tremita della <lb/>canna, diremo adunque, che la prima quarta parte de ditta no&longs;tra poluere, che prima <lb/>&longs;e abbru&longs;a, bru&longs;ando continuamente ua &longs;pingendo auanti l'altra poluere, che &longs;i ua tro<lb/>uando auanti di &longs;e, & con&longs;equentemente quella &longs;penge la balla, et per e&longs;&longs;er la balla co&longs;i <lb/>propinquißima all'u&longs;cita alla prima, & minima urtata, che nel principio &longs;ente, quella <lb/>u&longs;ci&longs;&longs;e del pezzo &longs;ubito, &longs;pinta &longs;olamente dalla poluer &longs;ana (come detto) & non dalla <lb/>propria e&longs;&longs;alatione della poluere abbru&longs;ata, lo qual &longs;pengimento (per e&longs;&longs;er fatto co&longs;i <lb/>nel principio) non puo e&longs;&longs;er &longs;e non dabole nella balla, dico debole ri&longs;petto à quello che <lb/>&longs;aria, <expan abbr="quãdo">quando</expan> che quella fu&longs;&longs;e &longs;pinta dalla propria e&longs;&longs;alatione uento&longs;a, et nel colmo della <lb/>gran furia di quella<emph.end type="italics"/>: E<emph type="italics"/>t oltra di que&longs;to, la balla nell'u&longs;cire del pezzo è &longs;eguitata (per <lb/>alquanto) dalla poluere &longs;ana, la qual poluere dali à un puoco cade in terra, la qual pol <lb/>uere nel andar per aere, & poi nel cader in terra, molto interrompe el moto di quel<lb/>la e&longs;&longs;alatione uento&longs;a, che dapoi&longs;eguita la balla, il che non poco nuoce al moto di quel<lb/>la Si che per que&longs;te ragionital balla (in &longs;imel ca&longs;o) non andara molto da lontano: ma <lb/>che ricarga&longs;&longs;e tal pezzo con alquanto men poluer &longs;enza dubbio lui tirar aue a&longs;&longs;ai piu <lb/>di quello faria, e&longs;&longs;endo co&longs;i piena la canna, perche &longs;e in que&longs;to &longs;econdo modo ui manca&longs; <lb/>&longs;e à impire tutta la canna dui diametri di balla, cargato che &longs;ia la balla, non &longs;e ritroua<lb/>ra co&longs;i nella istremita della bocca del pezzo, ma piu in dentro, & pero quella non u&longs;ci <lb/>ra co&longs;i della bocca del pezzo alla prima, & minima urtata dalla poluere, anci re&longs;i&longs;te<lb/>ra per un poco piu dell'altra, nel qual tempo, molto piu poluere &longs;ara abbru&longs;ata, et con <lb/>&longs;equentemente maggior quantita de e&longs;&longs;alatione uento&longs;a &longs;ara cau&longs;ata, & tal balla da <lb/>maggior impeto, ouer furore &longs;ara urtata, & &longs;pinta, dico urtata, & &longs;pinta pur dalla <lb/>poluere, & non dalla propria e&longs;&longs;alatione uento&longs;a, &longs;i come dell'altro tiro fu detto, & co <lb/>&longs;i per tale euidente ragioni, in questo &longs;econdo tiro con men poluere, conchiudemo che <lb/>tirara piu lontano di quello, faria al primo con qua&longs;itutta la canna piena di poluere, et <lb/>&longs;imelmente, che recarga&longs;&longs;e tal pezzo anchor con men poluere, cioè poniamo con tan<lb/>ta poluere, che ui manca&longs;&longs;e à impire tutta la canna tre diametri di balla, dico che in tal <lb/>ca&longs;o lui tiraria piu di quello faria cargandolo, &longs;econdo che di &longs;opra fu detto, cioè &longs;ola<lb/>mente per dui diametri manco, & co&longs;i chel carga&longs;&longs;e per quattro diametri manco tira<emph.end type="italics"/><pb/><emph type="italics"/>ra piu che <expan abbr="cõ">com</expan> li tre manco, et co&longs;i con cinque manco tirara piu che con quattro <expan abbr="mãco">manco</expan>, et <lb/>co&longs;i andaria <expan abbr="proced&etilde;do">procedendo</expan> per fin à un certo termine medio fra que&longs;ti dui e&longs;tremi, el qual <lb/>termine <expan abbr="giõto">gionto</expan> che ui &longs;e fu&longs;&longs;e haueria que&longs;ta dignita in &longs;e, che chi carga&longs;&longs;e poi tal pez<lb/>zo <expan abbr="cõ">com</expan> <expan abbr="m&etilde;">men</expan> poluere lui tir araue <expan abbr="mãco">manco</expan>, et <expan abbr="&longs;imelm&etilde;te">&longs;imelmente</expan> che ui daße piu poluere, anchora ti<lb/>rar aue <expan abbr="mãco">manco</expan>.<emph.end type="italics"/> P. C<emph type="italics"/><expan abbr="ertam&etilde;te">ertamente</expan> questa è una bella &longs;peculatione, et molto mi piace, per<lb/>che in uero cono&longs;co, che fra dui i&longs;tremi diuer&longs;i in proprieta eglie nece&longs;&longs;ario e&longs;&longs;erui un <lb/>per&longs;etto me<emph.end type="italics"/>zz<emph type="italics"/>o.<emph.end type="italics"/> SERVO. S<emph type="italics"/>ignor el pa&longs;&longs;a l'hora da cena.<emph.end type="italics"/> P. H<emph type="italics"/>or&longs;u chel &longs;e ceni.<emph.end type="italics"/></s>

<s>QVESITO DECIMO QVARTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual credeti &longs;ia meglio à calcar benißimo la poluere in un pe<emph.end type="italics"/>zz<emph type="italics"/>o <lb/>ouer à la&longs;&longs;arla alquanto di&longs;per&longs;a, erara.<emph.end type="italics"/> N. I<emph type="italics"/>n tutti gli i&longs;tremi contrari bi&longs;o <lb/>gna fondar&longs;e &longs;ul me<emph.end type="italics"/>zz<emph type="italics"/>o, cioè, che la non uuol e&longs;&longs;er molto calcata, ne molto di&longs;per&longs;a, <lb/>perche la poluere molto, e molto calcata fa maggior re&longs;i&longs;tentia al ingre&longs;&longs;o del fuoco, <lb/>di quello faria e&longs;&longs;endo alquanto rara, & per tanto la poluere molto, e molto calcata <lb/>pena piu tempo ad e&longs;&longs;er con&longs;umata dal fuoco, di quello faria, &longs;e quella fu&longs;&longs;e <expan abbr="alquãto">alquanto</expan> ra <lb/>ra, & quanto piu tempo pena una poluere ad e&longs;&longs;er con&longs;umata dal fuoco, tanto piu de<lb/>boli &longs;egue li &longs;uoi effetti, & é conuer&longs;o, cioe, che quanto piu pre&longs;to uien ri&longs;olta in fuoco <lb/>tanto piu uigoro&longs;amente &longs;pinge la balla, perche la &longs;ua uirtu, ouer po&longs;&longs;anza piu unita<lb/>mente opera. </s>

<s>Il mede&longs;imo qua&longs;i &longs;eguita, e&longs;&longs;endo molto di&longs;per&longs;a, & rara, & maßime in <lb/>forma longa, come &longs;i uede &longs;eguir nelle &longs;ementelle, che &longs;i co&longs;tumano per uoler dar fuoco <lb/>à qualche co&longs;a &longs;tando da lontano, delle qual &longs;ementelle prima abbru&longs;a quella parte, <lb/>che &longs;e ritroua nel capo di tal &longs;e<gap/>uent<gap/>lla doue ui &longs;i da fuoco, & &longs;ucceßiuamente ua con<lb/>tinuando, cioè abbru&longs;ando di mano in mano, per fin chel fuoco aggionge all'altro ca<lb/>po, & quanto piu è longa tal &longs;ementella, tanto piu tempo pena tal poluere ad e&longs;&longs;er to <lb/>talmente con&longs;umata dal fuoco. </s>

<s>Il mede&longs;imo uoglio inferire delle artegliarie, che quan<lb/>to piu &longs;e la&longs;&longs;a la poluere di&longs;per&longs;a, & rara quella occupa piu della canna, cioè tal for<lb/>ma di poluere uien à e&longs;&longs;er piu longa, e pero piu tempo ui uuol ad e&longs;&longs;er totalmente con<lb/>&longs;umata dal fuoco, e per tanto li &longs;uoi effetti non &longs;aranno co&longs;i uigoro&longs;i. </s>

<s>Conclude&longs;i adun <lb/>que, che la poluere molto e molto calcata nel pezzo, ouer molto di&longs;per&longs;a e rara inde<lb/>bili&longs;&longs;e gli effetti di t<gap/>l pezzo, e pero bi&longs;ogna fondar&longs;e nel termine di mezzo (come di <lb/>&longs;opra e detto) & non nelli i&longs;tremi, cioe, che quella &longs;ia non molto colcata, ne molto ra<lb/>ra.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;ta uostra openione molto mi con&longs;ona.<emph.end type="italics"/></s>

<s>QVESITO DECIMO QVINTO FATTO DAL <lb/><emph type="italics"/>detto Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual è la cau&longs;a che con un &longs;chioppo &longs;e tira piu rettamente, & piu <lb/>lontano de mira, che non &longs;e fa con uno archibu&longs;o, et <expan abbr="tam&etilde;">tamen</expan> lo archibu&longs;o fara mag <lb/>gior effetto, ouer pa&longs;&longs;ata m un commun tramite del &longs;ehioppo.<emph.end type="italics"/> N. Q<emph type="italics"/>uesto procede, <lb/>che le balle delli ar chibu&longs;i debbono e&longs;&longs;er for&longs;i piu gro&longs;&longs;<gap/> di quelle di &longs;chioppi, & la<emph.end type="italics"/><pb pagenum="22"/><emph type="italics"/>grauita della balla offende a&longs;&longs;ai piu della uelocita di quella, e&longs;&longs;enipi gratia e&longs;&longs;endo un <lb/>&longs;chioppo, che tiri di lontano retto tramite pa&longs;&longs;a. </s>

<s>400. con una balla di pe&longs;o di mezza <lb/>onza, & un archibu&longs;o, che retto tramite tiri &longs;olamente pa&longs;&longs;a. </s>

<s>300. ma con una balla, <lb/>che pe&longs;iuna onza, hor dico, che in un tramite di. </s>

<s>150. pa&longs;&longs;a, lo archibu&longs;o fa<lb/>ra maggior pa&longs;&longs;ata del &longs;chioppo, quantunque in tal luoco la balla del &longs;chioppo uada <lb/>piu ueloce per le ragioni adutte nella quarta propo&longs;itione del primo libro della no&longs;tra <lb/>noua &longs;cientia, di quella del archibu&longs;o. </s>

<s>Et pero e&longs;&longs;endo, come dice uo&longs;tra &longs;ignoria, di ra <lb/>gione la balla dello archibu&longs;o debbeno e&longs;&longs;e piu gro&longs;&longs;e, che quelle de &longs;chioppi.<emph.end type="italics"/> P. S<emph type="italics"/>en <lb/>za dubbio, che gli archibu&longs;t portano generalmente maggior balla de &longs;chioppi, uero è, <lb/>che &longs;ono alcune &longs;orte de &longs;chioppi, che portano balle alla equalita de alcuni archibu&longs;t.<emph.end type="italics"/><lb/>N. M<emph type="italics"/>a quando fu&longs;&longs;e un &longs;chioppo, che porta&longs;&longs;e tanta balla, quanto che face&longs;&longs;e un ar<lb/>chibu&longs;o, & che tal &longs;chioppo tira&longs;&longs;e piu rettamente, ouer piu lontano di mira, di quello <lb/>tal archibu&longs;o, &longs;enza dubbio in <expan abbr="di&longs;tãtie">di&longs;tantie</expan> equale, lo &longs;chioppo fara maggior pa&longs;&longs;ata del ar <lb/>chibu&longs;o.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;to è co&longs;ara&longs;oneuole, & basta per que&longs;ta &longs;era.<emph.end type="italics"/></s>

<s>QVESITO DECIMOSESTO FATTO DAL <lb/><emph type="italics"/>detto Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. D<emph type="italics"/>onde procede la cau&longs;a, che percuotendo con una artegliaria in <lb/>unanaue, ouer galia in mare, el pare che tal artegliaria faccia puoco effetto, o<lb/>uer pa&longs;&longs;ata re&longs;petto à quello che &longs;olita à far <expan abbr="tirãdo">tirando</expan> in una mur aglia, perche e&longs;&longs;endo co <lb/>me &longs;i &longs;ame &longs;i &longs;a ogni naue, ouer galia di tabule di legname onde e&longs;&longs;endo due, ouer tre <lb/>naue uni appre&longs;&longs;o laltra, el pare, che tirando un pezzo gro&longs;&longs;o in quelle, re&longs;petto à <lb/>quello, che faria tal pezzo in una gro&longs;&longs;a muraglia, ragioneuolmente le doueria pene <lb/>trar tutte tre dabanda à banda con tutte le bagaglie che ritroua&longs;&longs;e per quelle, per e&longs;<lb/>&longs;er ognico&longs;a di legname, & tamen rare uolte accade, che ne po&longs;&longs;a penetr ar una &longs;ola da <lb/>banda à banda, anci la maggior parte delle uolte le balle re&longs;tano nellanaue, ouer galia.<emph.end type="italics"/><lb/>N. E<emph type="italics"/>glie manife&longs;to per ragion naturale, che quella co&longs;a, che piu impedi&longs;ce il moto, <lb/>piu uien &longs;penta, urtata, ouer offe&longs;a dalla co&longs;a mobile, ouer percotente per e&longs;&longs;er adun<lb/>que la muraglia una co&longs;a &longs;tabile, & &longs;oda, & che piu impedi&longs;&longs;e el moto della balla del<lb/>la artegliaria di quello fa una naue, ouer galia e&longs;&longs;endo quella in el mare, mobile, la qual <lb/>mobilita fa che la detta naue ouer galia con&longs;ente alquanto al moto, ouer alla percußio <lb/>ne della balla, per il che la balla non fa quel uigoro&longs;o effecto, ouer pa&longs;&longs;ata, che faria &longs;e <lb/>tal naue, ouer galia fu&longs;&longs;e ben a&longs;&longs;ettata in terra ferma, &longs;i come &longs;ono le muraglie. </s>

<s>Si che <lb/>per tal ragione, piu gagliardo effetto fauna artegliaria in una muraglia, ouer in una <lb/>altra co&longs;a ferma e &longs;i&longs;&longs;a in terra &longs;oda, che non fa in una naue, ouer galia, nel mare mobi<lb/>le. </s>

<s>Ma molto maggior effetto fara la detta artegliaria in una naue, ouer galia, che gli <lb/>uegna alincontro, di quello faria in una, che gli fuggi&longs;&longs;e dauanti, perche quella, che gli <lb/>uien alincontro uien contra al moto della balla, & pero la ballo debbe far maggior ef <lb/>fetto in quella, che non farta &longs;tando quella ferma in mare. </s>

<s>Et quella, che gli fuggie da<lb/>uanti, molto piu ua con&longs;entendo alla percußion della balla, di quello faria, &longs;e quella &longs;t<gap/>&longs; <lb/>&longs;e in mare &longs;erma, & quteta.<emph.end type="italics"/> P. V<emph type="italics"/>e ho inte&longs;o benißimo.<emph.end type="italics"/></s><pb/>

<s>QVESITO DECIMOSETTIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. D<emph type="italics"/>iteme un poco, &longs;e per ca&longs;o in qualche improui&longs;o a&longs;&longs;alto ne &longs;u&longs;&longs;e <lb/>inchiodate le artegliarie, &longs;aria poßibile à ritrouar un modo, che fu&longs;&longs;e &longs;pediente <lb/>& pre&longs;to di poter ip&longs;o facto, cioe de &longs;ubito di&longs;chiodar le dette artegliarie, dico de &longs;ubi <lb/>co, perche moliti dicono &longs;aper far, & fanno certa acqua, ouer olio, qual ponendolo &longs;o<lb/>pra el &longs;oro inchiodato corode quel ferro talmente, che di&longs;chiodano quel tal pezzo. <lb/>Alcuni altri ho inte&longs;o, che fanno el mede&longs;imo con un trappano, cioe per el modo che u<lb/>&longs;ano à farui il primo bu&longs;o, nondimeno cadauno di que&longs;ti modi uoleno tempo a&longs;&longs;ai, & <lb/>maßime e&longs;&longs;endoui molto numero de pe<emph.end type="italics"/>zz<emph type="italics"/>i da de&longs;chiodare, & io uoria ritrouar un mo <lb/>do, &longs;e poßi<gap/> el fu&longs;&longs;e, di poterle di&longs;chiodar con cellerita, & pre&longs;tezza.<emph.end type="italics"/> N. </s>

<s>A <emph type="italics"/>me mi <lb/>pare, che tal co&longs;a &longs;e potria fare (&longs;e non me inganno) à recargare tutte le dette arteglia <lb/>ria, con balle alquanto &longs;car&longs;ette, cioe, che non uadano molto &longs;errate nel pezzo, & da <lb/>poi che &longs;ono cargate, metterle à &longs;egno uer&longs;o al luoco doue potria occorrer il bi&longs;ogno, <lb/>cioe come proprio &longs;e faria, quando che loro non fu&longs;&longs;eno inchiodate, & dapoi farui una <lb/>&longs;ementella di poluere nel fondo della <expan abbr="cãna">canna</expan>, che uada dalla bocca del pezzo, per fin alla <lb/>balla di cadauna artegliaria, & per non tirarle fru&longs;tamente a&longs;pettar la occa&longs;tione, & <lb/>occorrendo la occa&longs;ione da tirarle, darui il &longs;uoco per la bocca, onde oltra che faranno <lb/>li &longs;uoi effetti ordinarij, tutte nel di&longs;cargar&longs;e pen&longs;o &longs;e di&longs;chioderanno, & getteranno <lb/>fuora quel chiodo, ouer ponta di ferro con che furono inchiodate: & co&longs;i facendo de <lb/>tal inchiodatura &longs;e uenira à non patirne alcun &longs;enistro ouer di&longs;conzo.<emph.end type="italics"/> P. C<emph type="italics"/>erto que <lb/>sto è bello, e molto &longs;pediente, & non credo, che &longs;i pote&longs;&longs;e ritrouar modo meglio di que <lb/>&longs;to, domente che nel di&longs;cargar&longs;e facciano questo effetto, che haueti detto di gettarne <lb/>quel chiodo, ouer ponta di ferro, con che furno inchiodate.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio lo git<lb/>taranno.<emph.end type="italics"/> P. E<emph type="italics"/>t &longs;e per ca&longs;o alcuna non lo getta&longs;&longs;e, per e&longs;&longs;crui for&longs;i piu fi&longs;&longs;amente po<lb/>sto delle altre, che rimedio ui &longs;i potria aggiongere.<emph.end type="italics"/> N. C<emph type="italics"/>argarla, & tirarla un'al<lb/>tra uolta per el mede&longs;imo modo, uero è che ui getta&longs;&longs;e &longs;opra la inchiodatura un poco <lb/>di oglio caldißimo &longs;caldando anchora prima el luoco doue è la inchiodatura con car<lb/>bon acce&longs;o, poi con creda farui &longs;opra un ua&longs;etto attorno el bu&longs;o, che ritenga quello olio <lb/>caldo, che ui &longs;i ponera, il che facendo el buco con quel ferro interpo&longs;to, per la &longs;ua cali<lb/>dita, &longs;orbiranno quello olio caldo, la qual co&longs;a fara quel tal ferro piu lubrico&longs;o ad u&longs;ci <lb/>re. </s>

<s>Anchora &longs;e dapoi che &longs;i hauera po&longs;ta, & a&longs;&longs;ettata la poluere nel mezzo (innanti <lb/>che ui &longs;e ponga la balla) &longs;ara fatto uno bu&longs;o con una a&longs;ta nella detta poluere, el quale <lb/>penetri per fin in fondo della canna del ditto pe<emph.end type="italics"/>zz<emph type="italics"/>o, cioe che uada à referire appre&longs;<lb/>&longs;o al detto bu&longs;o inchiodato, tal cautella <expan abbr="nõ">non</expan> &longs;ara fora di propo&longs;ito in questo ca&longs;o: Et cre <lb/>do, che <34>&longs;ta &longs;upplira &longs;enza operar <expan abbr="altram&etilde;te">altramente</expan> olio caldo.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;to credo anchora <lb/>mi, perche nel di&longs;cargar&longs;e, la furia del fuoco troua tutte le comi&longs;&longs;ure mal come&longs;&longs;e, & <lb/>pero non credo che ui&longs;ta debi&longs;ogno à preparar la materia con olio caldo, ne fredo, al<lb/>tramente. </s>

<s>Et perche credo &longs;ta hora da'cena, non uoglio proccdiamo piu oltra, et pla<lb/>uenire, <expan abbr="nõ">non</expan> uoglio che piu parlamo della artegliaria, ma che intramo in qual che altra in <lb/>genio&longs;a materia, perche circa alle co&longs;e della artegliaria, io non &longs;o piu che <expan abbr="adimãdarui">adimandarui</expan>.<emph.end type="italics"/></s><pb pagenum="23"/>

<s>QVESITO DECIM'OTTAVO FATTOMI <lb/><emph type="italics"/>dal Signor Iacomo de Achaial' Anno.<emph.end type="italics"/> 1542.</s>

<s>I<emph type="italics"/>n Venetia qual ui <expan abbr="u&etilde;ne">uenne</expan> alla Sen&longs;a.<emph.end type="italics"/></s>

<s>SIGNOR IACOMO. I<emph type="italics"/>o ho ui&longs;to per i&longs;perientia che tirando con una Arte<lb/>gliaria in una muraglia standoui molto propinquo non ui fa co&longs;i gagliardo effet<lb/>to, ouer pa&longs;&longs;ata quanto fa à starui alquanto piu di lontano, et per leragioni da uoi adu<gap/><lb/>te nella uo&longs;tra nuoua &longs;cientia, doueria &longs;eguir tutto al contrario, perche la balla tirata <lb/>da ogni artegliaria quanto piu &longs;e allontana dalla bocca del pezzo tanto piu &longs;e allenta di <lb/>uelocita, come uoi approuate, cioe che quella ua men ueloce, & doue ua men ueloce, iui <lb/>fa menor effetto. </s>

<s>Adunque quanto piu &longs;i sta propinquo al luoco doue &longs;e tira tanto mag <lb/>gior effetto doueria far tal balla nel luoco doue percuote, di quello faria &longs;tandoui piu <lb/>lontano, perche tal balla feri&longs;&longs;e di moto piu ueloce, & tamen, come di&longs;opra ho detto. <lb/>Io trouo con la i&longs;perientia riu&longs;cir tutto al contrario, è per tanto ui adimando la cau&longs;a <lb/>di que&longs;to inconueniente.<emph.end type="italics"/> N. P<emph type="italics"/>er ben ri&longs;oluere que&longs;to dubbio bi&longs;ogna notare qual<lb/>mente ogni co&longs;a mo&longs;&longs;a moue &longs;empre qualche altra co&longs;a. </s>

<s>Et pero quando che la balla <lb/>uien moue&longs;ta da quella uento&longs;ita cau&longs;ata dal &longs;alnitrio, la mede&longs;ima balla in&longs;teme con la <lb/>mede&longs;ima uento&longs;ita, moue anchora in quel mede&longs;imo i&longs;tante quel aere à &longs;e conterminale <lb/>nella canna, & quel mede&longs;imo aere moue & &longs;pinge l'altro aere à &longs;e con&longs;equentemente <lb/>conterminale, & co&longs;i l'altro &longs;pinge l'altro talmente che la detta balla uien à &longs;pingere, <lb/>& à mandare auanti di &longs;e una gran quantita di aere di forma molto longa, la qual for<lb/>ma, quantunque la &longs;ia de aere, per uigor del moto, tal aere &longs;umme grauita in &longs;e talmen<lb/>te, che per un certo poco ditempo ua penetrando l'altro aere che per iluiaggio &longs;uo ri<lb/>troua, come &longs;e fu&longs;&longs;e qua&longs;i un trauo di legno, ma tal &longs;uo penetrar non procede molto <expan abbr="lõ">lom</expan> <lb/>tano, perche tal figura aerea, per un poco di tempo, ouer &longs;pacio procede auanti della <lb/>balla, ma perche la balla è di materia graue piu facilmente penetra lo aere, di quello fa <lb/>la detta figura aerea, & pero la balla uien a e&longs;&longs;er di moto molto piu uelocißima della <lb/>detta figura aerea, & per tanto in breuißimo tempo la detta balla uien à la&longs;ciar&longs;e de <lb/>drio da &longs;e quella tal fignra aerea (che prima andaua auanti di&longs;e) hor per tornare al no <lb/>&longs;tro primo propo&longs;ito, quando che con una artegliaria&longs;e tira in una co&longs;a, che ki&longs;ia mol<lb/>to propinquißima, quella figura aerea, che è &longs;pinta auanti della balla detta di &longs;opra) <lb/>per cuotera prima in quella co&longs;a doue &longs;e tira, dellaballa, & per non e&longs;&longs;er tal figura ae<lb/>rea atta à penetrar quella co&longs;a, eglie nece&longs;&longs;ario, che quella prima, & i&longs;trema parte di <lb/>tal figura, che prima percuote, à refflettere, & ritornar in drio, in contra alla mede<lb/>&longs;ima figura, & alla balla, che &longs;eguita (maßime quando tal tiro &longs;ia tirato con il pezzo <lb/>aliuellato) la qual reffleßione (continua) nell'aggiongere della balla con il re&longs;iduo di tal <lb/>figura aerea che è contigua alla balla fanno uno contra&longs;to grandißimo, cioe il re&longs;iduo <lb/>della figura aereauol proceder auanti, & non puo parte, per non e&longs;&longs;er atto (come di <lb/>&longs;opra è detto) à penetrar quella co&longs;a doue &longs;e tira, & parte par cau&longs;a di quell'altra par <lb/>te che è sforzata à ritornar in drio, la qual combustione da un grande impedimento al <lb/>moto della balla, talmente che la balla non puo far sutto quello effetto, che doueria fa<lb/>re. </s>

<s>Ma quando che il luoco doue &longs;e tira è d'una mediocre di&longs;tantia, la bala per la &longs;u<gap/><pb/>uelocita la&longs;&longs;a de drio da&longs;e la detta figura aerea, & &longs;e non tutta almeno la maggior par <lb/>te, talmente che in tal luoco di mediocre distantia la balla ui fara maggior effetto di <lb/>quello faria nel luoco piu propinquo, perche tal balla nel fare il &longs;uo effetto non ritroua <lb/>tanto impedimento di reffleßione ne combu&longs;tion di aere.<emph.end type="italics"/> S. IACO MO. Q<emph type="italics"/>ue&longs;tauo <lb/>straragione ne con&longs;ona molto, & comprendo che non puo procedere da altra co&longs;a.<emph.end type="italics"/></s>

<s>QVESITO DECIMONONO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Iacomo <lb/>de Achaia.<emph.end type="italics"/></s>

<s>SIGNOR IACOMO. M<emph type="italics"/>a un'altro dubbio uorria che me chiare&longs;ti, il qual <lb/>è que&longs;to, &longs;e per &longs;tar troppo propinquo con la artegliaria alla co&longs;a doue &longs;e tira, gli <lb/>effetti di tal artegliaria, non &longs;ono co&longs;i uigoro&longs;i quanto &longs;ariano in una mediocre di&longs;tan<lb/>tia, per le ragioni per uoi adutte, è per le &longs;perientie per me fatte, &longs;imilmente per &longs;tar<lb/>ui troppo di lontano (per commune opinione) &longs;eguitail mede&longs;imo, cioe che per &longs;tarui <lb/>molto di lontano non fa co&longs;i gagliardo effetto, nella co&longs;a doue percuote quanto faria <lb/>in una mediocre di&longs;tantia, hor ui adimando doue &longs;e potria con ragione determinare il <lb/>luoco doue che la balla di tal artegliaria faria il piu gagliardo, ouer uigoro&longs;o effetto, <lb/>che far pote&longs;&longs;e in tutto il tran&longs;ito, ouer uiaggio che far debbe, ouer che faria, quella tal <lb/>balla, non trouando alcuno impedimento.<emph.end type="italics"/> N. I<emph type="italics"/>n quello i&longs;tante che la balla peruiene, <lb/>ouer aggionge nella i&longs;trema parte di quella figura aerea (detta nel precedente que&longs;i<lb/>to) trouando in tal luoco un re&longs;istente, in quel tal luoco ui faria maggiore, ouer pue <lb/>uigoro&longs;o effetto, che in qualunque altro luoco, perche &longs;e tal re&longs;i&longs;tente fu&longs;&longs;e piu in uer<lb/>&longs;o la bocca del pe<emph.end type="italics"/>zz<emph type="italics"/>o, in quel tale re&longs;i&longs;tente prima ui percuoteria la detta figura aerea <lb/>che la balla (come nel precedente que&longs;ito fu detto) & dapoi la per cußione immediate <lb/>refflettaria in drio incontra alla mede&longs;ima figura aerea, & alla balla, ouiando alquan<lb/>to il moto di quella (come fu detto nel precedente que&longs;ito.) Et &longs;e tal re&longs;i&longs;tente &longs;ara piu <lb/>lontano di tal luoco, &longs;ubito che la balla u&longs;ci&longs;&longs;e totalmente di quella figura aerea, cioe la <lb/>&longs;ciando quella de drio da &longs;e immediate ritroua lo aere qua&longs;i quieto, onde tal balla uiene <lb/>ad hauer alquanto piu difficulta à penetr ar tal aere quieto, che non haueua à penetra<lb/>re quello della detta figura aerea, per e&longs;&longs;er quello di detta figura mede&longs;imamente in <lb/>cor&longs;o, & uer&longs;o il mede&longs;imo luoco doue ua la balla. </s>

<s>Et per tanto u&longs;cita la balla di tal fi<lb/>gura continuamente ui andara mancando il uigore, & tanto piu quanto piu &longs;e andara <lb/>allontanando, e pero con&longs;equentemente tanto piu deboli fara li &longs;uoi affetti &longs;i che per <lb/>que&longs;te due ragioni, la detta balla doueria far piu gagliardo effetto in un re&longs;i<gap/>ente tro<lb/>uando quello preci&longs;amente nello u&longs;cire della i&longs;tremita della &longs;opradetta figura aerea, <lb/>che in qualunque altro luoco piu lontano, ouer propinquo.<emph.end type="italics"/> S.I. E<emph type="italics"/>glie da credere che <lb/>&longs;ia co&longs;i, perche in effetto comprendo che in tal luoco la balla feri&longs;&longs;e &longs;enza impedimen<lb/>to dire&longs;&longs;leßione de aere, ne per fina allhora non è stata impedita da aere quieto, come <lb/>&longs;aria impedita per lo auenire &longs;e procede&longs;&longs;e piu oltra.<emph.end type="italics"/></s><pb pagenum="24"/>

<s>QVESITO VIGESIMO FATTO DA VNO <lb/>C<emph type="italics"/>apo de Bombardieri.<emph.end type="italics"/></s>

<s>BOMBARDIERO. P<emph type="italics"/>erche cau&longs;a credete uoiche &longs;i metta quelli dui &longs;trope <lb/>paioni de &longs;ieno, ouer de &longs;toppa, ogni uolta che &longs;i carga una artegliaria, cioe uno <lb/>dapoi che ui &longs;e ha po&longs;ta la poluere, cioe auanti che ui &longs;i metta la balla, & l'altro dapoi <lb/>che ui &longs;i ha po&longs;ta la detta balla.<emph.end type="italics"/> N. C<emph type="italics"/>ertamente che io non &longs;apeua que&longs;ta co&longs;a, che uoi <lb/>me haueti detto, cioe che auanti che &longs;i metta la balla nel pe<emph.end type="italics"/>zz<emph type="italics"/>o ui &longs;i metta uno &longs;trop<lb/>paion de fieno, ouer de &longs;toppa, & co&longs;i un'altro dapoi che ui &longs;e ha po&longs;ta la balla, ma e&longs;<lb/>&longs;endo co&longs;i (come al pre&longs;ente credo) à me mi pare, che piu &longs;e conuegnaria che io ui adi<lb/>manda&longs;&longs;e à uoi la cau&longs;a di tal cautella, cha che uoi l'adimanda&longs;ti à me, perche &longs;e uoi u&longs;a <lb/>ti di far tal co&longs;a ogniuolta che uoi cargati un pezzo, uoi douere&longs;ti pur &longs;apere à che fin <lb/>il fati, perche l'arte bi&longs;ogna che la imiti lanatura in questo, che tutte le co&longs;e, che quella <lb/>fa, le faccia à qualche fine.<emph.end type="italics"/> B. M<emph type="italics"/>aue dirò, io non ho grammatica, & &longs;e pur u&longs;o di far <lb/>que&longs;ta co&longs;a, lo faccio, perche ho ui&longs;to che tutti glialtrilo fanno.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;to &longs;i co&longs;tu<lb/>ma in molti, & in molte arte, &longs;i mecanice come liberale, e pero non me mar auiglio di <lb/>uoi, ne manco uibia&longs;imo, anci ue laudo à ricercar la cau&longs;a di quelle co&longs;e che &longs;i co&longs;tuma <lb/>difare nell'arte uostra, ilche doueria far ogniuno, perche il &longs;apere non è altro che co<lb/>no&longs;cere la co&longs;a per la cau&longs;a, hor tornando al no&longs;tro propo&longs;ito, il primo &longs;troppaione, <lb/>cioe quello che diceti che &longs;i mette drio alla poluere, auanti che ui &longs;e metta la balla, non <lb/>po&longs;&longs;o pen&longs;are che ui &longs;i metta per altro, &longs;aluo che per &longs;pazzar, & condure tutta quella <lb/>poluere (che nel cargare il pezzo fu&longs;&longs;e rimasta per la canna) in&longs;ieme con l'altra, & à <lb/>tenerla dapoi unita al &longs;uo luoco, dou'è &longs;tata a&longs;&longs;ettata. </s>

<s>Ma il &longs;econdo &longs;troppaione, cioe <lb/>quello che uoi diceti che metteti drio alla balla, bi&longs;ogna pen&longs;are, che colui, che prima co <lb/>mincio à porui tal stroppaione fu a&longs;tretto da qualche neceßita, la qual neceßita non ui <lb/>puo e&longs;&longs;er occor&longs;a, &longs;aluo che lui doueua e&longs;&longs;ere in qualche luoco doue gli conuenia tirare <lb/>alba&longs;&longs;o, cioe tirar de &longs;u&longs;o in giu&longs;o, la qual co&longs;a <expan abbr="uol&etilde;dola">uolendola</expan> e&longs;&longs;equire &longs;enza porui tal &longs;trop<lb/>paione, nell'abba&longs;&longs;are il pe<emph.end type="italics"/>zz<emph type="italics"/>o dauanti per metterlo à &longs;egno, la balla &longs;aria u&longs;cita del <lb/>pezzo, e pero accio che tal balla non u&longs;cide&longs;&longs;e, fu sforzato à porui tal &longs;troppione.<emph.end type="italics"/> B. <lb/>Q<emph type="italics"/>ue&longs;te uo&longs;tre ragioni &longs;ono bonißime, ma e uedo che tal stroppaione uc lo ponemo an<lb/>chora quando che uolemo tirare all'alta, cioe di giu&longs;o in &longs;u&longs;o, doue non è quel pericolo <lb/>che diceti, cioe che la balla u&longs;ci&longs;ca del pe<emph.end type="italics"/>zz<emph type="italics"/>o nel metterlo à &longs;egno, e pero uorria &longs;apere <lb/>la cau&longs;a di questo.<emph.end type="italics"/> N. L<emph type="italics"/>a cau&longs;a di que&longs;to è la ignorantia, perche &longs;e uoi &longs;ape&longs;ti la cau&longs;a <lb/>di tal attione, uoi non ui ponere&longs;ti tal &longs;troppaione, &longs;aluo quando che la neceßita, accio <lb/>ue a&longs;tringe&longs;&longs;e.<emph.end type="italics"/> B. C<emph type="italics"/>ertamente comprendo che uoi diceti troppo il uero.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMOPRIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Capo de Bombardieri.<emph.end type="italics"/></s>

<s>BOMBARDIERO. V<emph type="italics"/>euoglio raccontar una nouella, della quale &longs;oncerto <lb/>ue ne marauigliarcti molto, la qual è que&longs;ta. </s>

<s>Rurouandomi una uolta à fare una <lb/>ba<gap/>la, & dapoi moluuri, accadete che per uno certo di&longs;concio, il pezzo nel di-<pb/>&longs;cargar&longs;e &longs;e elleu<gap/> talmente che andete con la bocca in terra, & in tanto che io tende<lb/>ua à ragunar facchini con &longs;tanghe per ritornar tal pezzo al &longs;uo luoco un cagnolino <lb/><gap/>ol&longs;e andar (come accade) à na&longs;are la bocca di tal pezzo, & &longs;ubito che il detto cagno<lb/>lino fu gionto alla bocca di tal pezzo, immediate lo detto pezzo lo tiro dentro della <lb/>canna, la qual co&longs;a uista dalli circo&longs;tanti, alcuni cor&longs;e per aiutare il detto cagnolino, & <lb/>lo trouorno e&longs;&longs;er stato tirato qua&longs;t in capo della canna, cioe qua&longs;t in capo del uacuo del <lb/>la canna di tal pezzo, pur lo cauorno, come morto, non &longs;o quello che dapoi &longs;egui&longs;&longs;e <lb/>de lui, ma credo che mori&longs;&longs;e, hor cheue pare di que&longs;to.<emph.end type="italics"/> N. D<emph type="italics"/>i que&longs;ta co&longs;a non <lb/>me ne mar auiglio, perche un pezzo per il molto tirar, diuenta caldo, & per tal cal<lb/>dezza (come fu detto nel quinto que&longs;ito) quel tal pe<emph.end type="italics"/>zz<emph type="italics"/>o &longs;i fa attrattiuo, cioe alla &longs;imi<lb/><gap/>itudine di una uento&longs;a, quando ui è ar&longs;a di dentro la stoppa.<emph.end type="italics"/> E <emph type="italics"/>pero non è marauiglia, <lb/>che &longs;orbe&longs;&longs;e &longs;u&longs;o quel tal cagnolino, anci credo, che quando un tal pezzo è molto caldo <lb/>&longs;euno ui anda&longs;&longs;e ad appoggiar la pancia nuda alla bocca di quello, colui in tal luoco ui <lb/>re&longs;taria talmente appre&longs;o, che con difficulta ui &longs;e di&longs;taccaria. </s>

<s>Et molto piu attrattiuo <lb/>tal pezzo diuentaria in tal ca&longs;o, che ui attura&longs;&longs;e, ouer a&longs;troppa&longs;&longs;e quel bu&longs;etto doue &longs;e <lb/>gli da il fuoco.<emph.end type="italics"/> B. Q<emph type="italics"/>ue&longs;ta uo&longs;tra ragione mi con&longs;ona molto.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMOSECVNDO FATTO <lb/><emph type="italics"/>da uno Gettador di Artegliaria.<emph.end type="italics"/></s>

<s>GETTADORE. D<emph type="italics"/>onde procede che di tutte le artegliarie che creppano, la <lb/>maggior parte creppano, de drio doue &longs;ta la poluere, ouer alla bocca, & rare <lb/>uolte nel meggio, uero è che del creppar nella parte de drio doue &longs;ta la poluere non me <lb/>ne marauiglio, perche in tal luoco la poluere ui mo&longs;tra ogni &longs;ua po&longs;&longs;anza, ma del crep <lb/>pare in bocca ne &longs;tago molto ammir atiuo, perche à me mi pare che piu pre&longs;to doueria <lb/>creppar nel meggio della canna che alla bocca, perche la e&longs;&longs;alatione del &longs;almitrio alla <lb/>bocca uitroua luoco largo da sborare, co&longs;a che non troua co&longs;i di dentro nel meggio del <lb/>la canna.<emph.end type="italics"/> N. C<emph type="italics"/>irca à questa co&longs;a bi&longs;ogna pen&longs;are, che ogni mouente puo riceuere <lb/>due difficulta, ouer nocumenti nel mouere un corpo rotondo graue che stia ripo&longs;ato é <lb/>quieto nel mouerlo per tra&longs;uer&longs;o la prima è à mouerlo nel principio, perche dapoi che <lb/>mo&longs;&longs;o &longs;ia non ui ha tanta dif&longs;iculta à mantenerlo continuamente in moto, l'altra diffi<lb/>culta che puo riceuere tal mouente è que&longs;ta, che dapoi che ha moue&longs;to quel tal corpo <lb/>rotondo, e graue, e quel redutto in moto continuo, ouer &longs;ucceßiuo per trauer&longs;o ritro<lb/>uando poialcuno repentino o&longs;tacolo, ouer, te&longs;i&longs;tente à tal moto, tal mouente riceue no <lb/>cumento a&longs;&longs;ai. </s>

<s>Et per tanto dico, che à quella e&longs;&longs;alatione di uento cau&longs;ata dal &longs;alnitrio, <lb/>dapoi che e generata nel pezzo ui occorre due gran difficulta, la prima è à mouere co <lb/>&longs;i repentmamente la balla ripo&longs;&longs;ante quieta, e pero in tal accidente &longs;ubitano trouando&longs;i <lb/>il pezzo in tal luoco debole di metallo, ouer di metallo, nel getto mal con&longs;olidato, ouer <lb/>piu &longs;ottile da una banda che dall'altra, facilmente in tal luoco creppa, ma &longs;e per ca&longs;o il <lb/>metallo di tal luoco r<gap/>e&longs;i&longs;ta gagliardamente tanto che tal e&longs;&longs;alatione moue la balla, mo&longs;<lb/>&longs;a che &longs;ia dal &longs;uo luoco, non ui è piu pericolo in tal parte di creppare (&longs;aluo &longs;e à tal balla <lb/>non ui occorre&longs;&longs;e dentro dal pezzo qualche &longs;trano accidente (come in fine &longs;e dira,)<emph.end type="italics"/><pb pagenum="25"/><emph type="italics"/>perche &longs;ubito, che la balla &longs;ia in moto con facilita tal e&longs;&longs;alatione ue landaria mantenen <lb/>do, non occorrendoui altro impedimento, ma &longs;ubito, come la balla aggionge alla bocca <lb/>del pezzo iui truoua tutto lo aere e&longs;trin&longs;ico: el quale, quanto che <expan abbr="cõ">com</expan> piu maggiore pre <lb/>stezza uien la balla in&longs;ieme con la detta e&longs;&longs;alatione, che la &longs;pinge ad a&longs;&longs;altarlo <expan abbr="tãto">tanto</expan> piu <lb/>unitamente, et con maggiore uigoro&longs;ita ui &longs;i oppone gagliardamente all'incontro, per <lb/>re&longs;i&longs;tere à tal moto &longs;ubitano, onde in tal luoco ui &longs;e uiene à cau&longs;are un'altra difficulta, <lb/>ouer ri&longs;&longs;a fra la e&longs;&longs;alatione intrin&longs;ica (che &longs;pinge la balla) & laere e&longs;trin&longs;ico, cioe lun <lb/>uoria u&longs;cire, & laltro non uoria che u&longs;cide&longs;&longs;e, pur &longs;inalmente lo intrin&longs;ico per e&longs;&longs;er di <lb/>maggior po&longs;&longs;anza, e uigore u&longs;ci&longs;&longs;e con uittoria rompendo, & &longs;pezzando el &longs;uo nemi <lb/>co, nel quale rompimento &longs;e cau&longs;a quel co&longs;i gran &longs;uono, perche ogni &longs;uono dalli Sapien <lb/>ti&longs;e diffini&longs;&longs;e non e&longs;&longs;er altro, che la percußione fatta de dui corpi inanimati, in&longs;ieme, e <lb/>pero in que&longs;to ca&longs;o non puo procedere da altro, che dalla percußione fatta da quella <lb/>e&longs;&longs;alatione, cau&longs;ata dentro dal pezzo, con lo acre e&longs;trin&longs;ico, trouando&longs;e <expan abbr="ad&utilde;que">adunque</expan> la boc <lb/>ca del pe<emph.end type="italics"/>zz<emph type="italics"/>o qua&longs;i nel mezzo di tal abbattimento, uiene à patire grandamente in ge<lb/>nerale, e que&longs;ta è la cau&longs;a, che in tal luoco el pezzo non hauendoui la &longs;ua conueniente <lb/>gro&longs;&longs;ezza, ouer e&longs;&longs;endoui qualche occulto diffetto cau&longs;ato nel gettarlo, <expan abbr="facilm&etilde;te">facilmente</expan> cre <lb/>pa.<emph.end type="italics"/> G. Q<emph type="italics"/>ue&longs;te due uo&longs;tre ragioni molto me quadrano, ma re&longs;ta un'altro dubbio, el <lb/>quale è que&longs;to, che quantunque la maggior parte delle uolte creppano (come di &longs;opra è <lb/>detto) nella parte de drio doue &longs;ta la poluere, ouer nella bocca, pur alcune uolte crep<lb/>pano anchora nel mezzo, e pero haria à caro, che me aßigna&longs;ti la cau&longs;a di que&longs;to.<emph.end type="italics"/> N. <lb/>L<emph type="italics"/>e due cau&longs;e di &longs;opra per me aßignate, &longs;ono cau&longs;e generale, che &longs;empre per ordinario <lb/>fanno patire generalmente ogni &longs;pecie di pe<emph.end type="italics"/>zz<emph type="italics"/>o nelli preditti dui luochi piu che in al<lb/>tro luoco, ma oltra le dette cau&longs;e generale, bi&longs;ogna pen&longs;are, & credere, che per acci<lb/>dente ue ne po&longs;&longs;a occorrere molte altre, le quale non &longs;olamente puono <expan abbr="augum&etilde;tar">augumentar</expan> pa&longs; <lb/>&longs;ion al pe<emph.end type="italics"/>zz<emph type="italics"/>o nelli medemi dui luochi, cioe de drio, & nella bocca, ma anchora nel mez <lb/>zo della canna, e&longs;&longs;empigratia, &longs;e per mala &longs;orte la balla nel &longs;correre per la canna tro<lb/>ua&longs;&longs;e qualche piccìol pieretta in &longs;orma di cuneo, ouer altro corpetto duro, & che per <lb/>&longs;orte la balla ui &longs;corre&longs;&longs;e per di &longs;opra tal pieretta, ouer corpetto interromperia nece&longs; <lb/>&longs;ariamente el moto, ouer cor&longs;o della balla, per il che la balla &longs;ariasforzata in tal luoco <lb/>à far de due co&longs;e luna, ò à intertener &longs;i (& que&longs;to &longs;eguiria quando la balla anda&longs;&longs;e mol<lb/>to &longs;errata nel pezzo) ouer tal balla nel pa&longs;&longs;arui &longs;opra faceße un &longs;alteto, & questo po <lb/>tria far, quando la canna del pezzo fu&longs;&longs;e alquanto piu larga della gro&longs;&longs;ezza della bal <lb/>la, &longs;e per ca&longs;o adunque la balla fuße intertenuta da tal pieretta, ouer corpetto in for<lb/>ma de cuneo, per tal intertenimento (e&longs;&longs;endo gaiardo) &longs;ariasforzato tal pezzo di cre <lb/>pare, & &longs;e tal cuneo fu&longs;&longs;e trouato dalla balla nel principio del &longs;uo moto, tal pezzo cre <lb/>paria pur nella parte doue &longs;ta la poluere, & &longs;e tal cuneo fu&longs;&longs;e trouato nel mezzo della <lb/>canna, & nel mezzo della canna <expan abbr="naturalm&etilde;te">naturalmente</expan> crepparia, & &longs;e fu&longs;&longs;e trouato appreßo <lb/>alla bocca, & nella bocca crepperia. </s>

<s>Ma&longs;e per ca&longs;o la balla hauera luoco di poßer pa&longs; <lb/>&longs;ar di &longs;opra à tal corpetto, nel paßarui (come di &longs;opra dißi neceßariamente fara un &longs;al <lb/>tetto, nel qual &longs;altetto percottera nella &longs;ummita della canna, & rebattera poi nel fon<lb/>do, la qual percußione, & repercußion, non puo eßer tanto debile, che non &longs;ia atta à <lb/>fa creppare el pezzo in tal luoco, et que&longs;ta è una delle cau&longs;e accidentale, che è atta à<emph.end type="italics"/><pb/><emph type="italics"/>far creppar el pezzo qua&longs;i in ogni luoco. </s>

<s>Anchora quando che una balla non è egual <lb/>mente tonda, ouer che haue&longs;&longs;e qualche parte piu elleuata in un luoco, che in un'altro, <lb/>potria alle uolte far accadere un tal inconueniente uer&longs;o la bocca del pezzo. </s>

<s>Anchora <lb/>quando, che el pezzo è molto caldo per el lungo tirare, è molto piu atto al crep<lb/>pare, che e&longs;&longs;endo freddo (e&longs;&longs;endo pero di bronzo) perche el bronzo è di tal na<lb/>tura, che per il caldo &longs;e fa frangibile. </s>

<s>Anchora un pezzo quanto piu tira in alto <lb/>tanto piu pati&longs;&longs;e di quello fa tirandolo in piano. </s>

<s>Anchora nel gettare il pezzo, ui &longs;e <lb/>puo cau&longs;ar alcune come&longs;&longs;ure, & cauerno&longs;ita parte occulte al &longs;en&longs;o, & parte pale&longs;e: ma <lb/>per e&longs;&longs;er di dentro dal pezzo non &longs;i po&longs;&longs;ono uedere, le quale fanno piu debile in tal luo <lb/>co el pezzo di quello ui &longs;i conuiene, e per que&longs;to alle uolte &longs;enza altro particolar acci<lb/>dente, in talluoco creppa, ò &longs;ia de drio, ouer dauanti, ouer in mezzo. </s>

<s>Alcuna fiata an<lb/>chora el foro del pezzo <expan abbr="nõ">non</expan> pa&longs;&longs;a preci&longs;amente per mezzo dil mettallo, ma tende piu <lb/>da una banda, che dall'altra: per il che il mettallo uien à restare da una banda piu &longs;otti <lb/>le, & dall'altra piu gro&longs;&longs;o del &longs;uo douere, e per tanto da quella banda doue che el met <lb/>tallo è piu &longs;ottile, et debile del &longs;uo douere el pezzo alle uolte creppa, et questo è quan<lb/>to che alle cau&longs;e del creppare, ui&longs;o dire<emph.end type="italics"/>, G. V<emph type="italics"/>oime haueti largament<gap/> di mei dub<lb/>bij &longs;atisfatto.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMOTERZO FATTO DA <lb/>M. A<emph type="italics"/>lberghetto di Alberghetti gettadore de artegliaria.<emph.end type="italics"/></s>

<s>1545. adi Aprile. </s>

<s>In Venetia.<emph.end type="italics"/></s>

<s>ALBER GHETTO. S<emph type="italics"/>aria poßibel di poter &longs;apere, de una artegliaria noua <lb/>uamente inca&longs;&longs;ata, ouer fornita, & non mai tirata &longs;e quella tirara li &longs;uoi tirirct <lb/>ti, ouer co&longs;teri, ouer in &longs;galembro, &longs;enza tirarla altramente.<emph.end type="italics"/> N. Q<emph type="italics"/>uesto uostro que <lb/>&longs;ito in &longs;o&longs;tantia non uuol dir altro, che &longs;apere cono&longs;cere &longs;e el foro di tal pezzo giace <lb/>rettamente nel me<emph.end type="italics"/>zz<emph type="italics"/>o del mettallo, ouer non, & non giacendo in mezzo del detto met <lb/>tallo &longs;apere determinare in qual uer&longs;o pende tal foro: la qual co&longs;a non ho per difficile, <lb/>& con&longs;idero che eglie una co&longs;a, che per molte uie &longs;e potria inuestigare, & &longs;apere: ma <lb/>à uoler dare un modo, che &longs;ia i&longs;pediente e facile, bi&longs;ogneria pen&longs;arui alquanto.<emph.end type="italics"/> A. P<emph type="italics"/><expan abbr="&etilde;">em</expan> <lb/>&longs;atigli un poco, perche ho addimandato questo dubbio à molti, che fanno profeßione <lb/>de ingegno, & non ho ritrouato alcun, che me habbia &longs;aputo dar re&longs;olutione.<emph.end type="italics"/> N. I<emph type="italics"/>o <lb/>ho pen&longs;ato &longs;opra que&longs;ta materia, & ritrouo in effetto tal co&longs;a poter&longs;i inue&longs;tigar per <lb/>piu uie: ma à uolerlo &longs;apere con una co&longs;a &longs;pediente, et di poco arti&longs;icio el &longs;i die tuor due <lb/>a&longs;te, ouer dui ba&longs;toni drittißimi, ouer due cantinelle, ouer li&longs;te ben pianate, & egual<lb/>mente larghe, longhe quanto che è la canna de tal pe<emph.end type="italics"/>zz<emph type="italics"/>o, & anchora uno brazzo di <lb/>piu, & in quel brazzo di piu metterui, & inchiodar ui dui trauer&longs;i longhi quanto che <lb/>è la mitta della culatta del pezzo uel circa (e nanti piu che <gap/>eno) & lontani luno da <lb/>l'altro circa un bra<emph.end type="italics"/>zz<emph type="italics"/>o, accio &longs;iano piu atti à con&longs;eruar li dette due a&longs;te, ouer canti<lb/>nelle, ouer li&longs;te egualmente di&longs;tante, e dapoi ficare luna di quelle a&longs;te, ouer li&longs;te nella <lb/>canna, ouero foro de tal pezzo, & laltra andara de fuora uia. </s>

<s>Et uolendo &longs;apere &longs;e <lb/>tal pezzo è piu gro&longs;&longs;o di mettallo in un luoco, che in un'altro, procederemo in que&longs;to<emph.end type="italics"/><pb pagenum="26"/><emph type="italics"/>modo. </s>

<s>La a&longs;ta, che ua per dentro uia prima la di&longs;tendaremo, & giu&longs;taremo rettamen <lb/>te per la parte &longs;uperiore del uacuo de detta canna, & fatto que&longs;to mi&longs;uraremo, ouer <lb/>che faremo mi&longs;urare &longs;ottilmente quanto che &longs;ara di&longs;tante dal mettallo la i&longs;trema par<lb/>te, cioe il capo di quella asta, ouer li&longs;ta, che procede de fuora uia, fatto que&longs;to el &longs;i de uol <lb/>tar alquanto dalla banda del detto uacuo della canna la detta a&longs;ta, ouer li&longs;ta, che ua per <lb/>dentro, cioe mutarui alquanto luoco, & in que&longs;to &longs;econdo luoco far come primà, cioe <lb/>far guardare, & mi&longs;urare con diligentia quanto che &longs;ara di&longs;tante dal mettallo la detta <lb/>e&longs;trema parte, ouer capo di quella a&longs;ta, ouer li&longs;ta, che procede de fuora uia, & &longs;e in que <lb/>&longs;to &longs;econdo luoco lui &longs;ara preci&longs;amente tanto lontano dal mettallo, quanto che eranel<lb/>la prima po&longs;itione, &longs;e potra concluder el mettallo e&longs;&longs;er nelli detti dui luochi egualmen <lb/>te gro&longs;&longs;o, ma&longs;e &longs;ara piu lontano, &longs;e potra concludere in que&longs;to &longs;econdo luoco e&longs;&longs;erui <lb/>piu &longs;ottile el mettnllo, che nel primo, & tanto piu &longs;ottile, quanto che la detta lontanan <lb/>za dal detto mettallo in que&longs;ta &longs;econda po&longs;itione &longs;ara maggiore della prima. </s>

<s>Et &longs;imel<lb/>mente, &longs;e per ca&longs;o in que&longs;ta &longs;econda po&longs;itione el detto capo della detta a&longs;ta, ouer li&longs;ta &longs;a <lb/>ra piu propinquo al mettallo della prima, &longs;eguira tutto al contrario, cioe, che in que&longs;to <lb/>&longs;econdo luoco ui &longs;ara piu gro&longs;&longs;o el mettollo, che nel primo, & con tal ordine proceden <lb/>do de in parte in parte, ouer de banda in banda d'intorno à tutto el pezzo con tal eui<lb/>dentia&longs;e cono&longs;cera &longs;el detto foro &longs;ara preci&longs;amente, ouer rettamente in me<emph.end type="italics"/>zz<emph type="italics"/>o del <lb/>mettallo, ouer non, perche &longs;el mettallo &longs;e trouara egualmente gro&longs;&longs;o, &longs;e potra conclude <lb/>re tal foro e&longs;&longs;er rettamente in mezzo del mettallo, & tirara etiam li &longs;uoi tiri retta<lb/>mente, &longs;econdo la <expan abbr="appar&etilde;tia">apparentia</expan> di tutto el pezzo: & &longs;e per ca&longs;o &longs;e trouara e&longs;&longs;er piu gro&longs; <lb/>&longs;o e<gap/> mettallo da una banda, che dall'altra, &longs;e potra concludere, tal foro non e&longs;&longs;er retta <lb/>mente in mezzo del mettallo, & con&longs;equentemente non tirara li &longs;uoi tiri retti, &longs;econ<lb/>do la apparentia de tutto el pezzo: ma li tirara &longs;empre pendenti, ouer obliqui uer&longs;o à <lb/>quella banda doue che &longs;ar a piu gro&longs;&longs;o el mettallo, cioe &longs;i tal gro&longs;&longs;e<emph.end type="italics"/>zz<emph type="italics"/>a &longs;ara dalla ban<lb/>da de&longs;tra lui tirara co&longs;tero uer&longs;o l<gap/> mede&longs;ima parte, ouer banda de&longs;tra, & è conuer&longs;o: <lb/>& &longs;e tal gro&longs;&longs;ezza &longs;ara in &longs;galembro poniamo fra la parte, ouer banda de&longs;tra, & la <lb/>parte &longs;uprema del pezzo luitirara <expan abbr="mede&longs;imam&etilde;te">mede&longs;imamente</expan> li detti &longs;uoitiri in &longs;galembro, cioe <lb/>obliqui, ouer <expan abbr="p&etilde;d&etilde;tii&longs;u&longs;o">pendentii&longs;u&longs;o</expan>: ma uer&longs;o la medema <expan abbr="bãda">banda</expan> doue è tal gro&longs;&longs;ezza, et co&longs;i &longs;i deb <lb/>be <expan abbr="int&etilde;der">intender</expan>, et <expan abbr="cõcludere">concludere</expan> in qual &longs;i uoglia <expan abbr="bãda">banda</expan>, che fu&longs;&longs;e tal maggior gro&longs;&longs;ezza di met <lb/>tallo. </s>

<s>Et p eßer meglio inte&longs;o &longs;otto breuita <expan abbr="põgo">pongo</expan> p <expan abbr="eß&etilde;pio">eßempio</expan> figurale, che &longs;ialo &longs;otto &longs;crit <lb/>to pezzo di artegliaria, et che in quello uogliamo inue&longs;tigare <34>llo, che di &longs;opra fu pro <lb/>po&longs;to, cioe &longs;el&longs;uo foro, ouer uacuo della <expan abbr="cãna">canna</expan> giace <expan abbr="rettam&etilde;te">rettamente</expan> in mezzo dil mettallo, <lb/>hor p uoler inue&longs;tigar tal co&longs;a, dico, che el &longs;i die pigliar due a&longs;te dritte, et eguale, ouer <lb/>due li&longs;tette, come &longs;ono le due. </s>

<s>& con dui trauer&longs;i daun capo, ouer &longs;opra un <lb/>brazzo de tabula inchiodaruele, che &longs;tiano <expan abbr="equidi&longs;tãte">equidi&longs;tante</expan>, et <expan abbr="lõtane">lontane</expan> luna dallaltra <expan abbr="alquãto">alquanto</expan> <lb/>piu di <34>llo, che é la mitta della gro&longs;&longs;e<emph.end type="italics"/>zz<emph type="italics"/>a di tutto el pezzo nella parte de drio, et <expan abbr="lõghe">longhe</expan> <lb/><expan abbr="tãto">tanto</expan> piu del uacuo della <expan abbr="cãna">canna</expan> di tal pezzo, <expan abbr="quãto">quanto</expan> che bi&longs;ogna per mettere in li dui tra <lb/>uer&longs;i, ouer tabula, et dapoi cazzar luna de dette a&longs;te, ouer li&longs;te (poniamo la. </s>

<s>d.c.) p il <lb/>&longs;oro, ouer uacuo della canna, talmente che stia uniuer&longs;almente per longo contingente <lb/>con la parte &longs;uperiore del foro, ouer uacuo de detta canna, come in que&longs;ta prima figu<lb/>ra appare, e dapoi mi&longs;urare, ouer far mi&longs;urar &longs;ottilmente la <expan abbr="di&longs;tãtia">di&longs;tantia</expan>, che è dal <expan abbr="põto">ponto</expan>. </s>

<s>a.<emph.end type="italics"/><pb/><figure id="fig4"></figure><lb/><emph type="italics"/>(capo de la&longs;ta, ouer li&longs;ta) al mettallo de tal pezzo in tal luoco, & poniamo che tal di<lb/>&longs;tantia &longs;ia preci&longs;e quanto, che è la lineetta. </s>

<s>e. & fatto que&longs;to, el &longs;i de tramutar tai a&longs;te, <lb/>ouer li&longs;te in uno altro luoco, ouer banda di tal pezzo, hor tra&longs;mutamola (per far la dif <lb/>ferentia piu &longs;en&longs;ibile) nella parte oppo&longs;ita, come in que&longs;ta altra figura appare, et co&longs;i <lb/>in tal luoco mi&longs;uraremo pur (ouer faremo mi&longs;ur are) in tal luoco la distantia, che &longs;a<lb/>ra dal mede&longs;imo ponto. </s>

<s>a. (capo de lasta) al pezzo ouer mettallo, la qual di&longs;tantia &longs;up <lb/>ponamo, che la &longs;ta quanto e la linea f. </s>

<s>hor dico, che &longs;e per ca&longs;o la linea. </s>

<s>f. fu&longs;&longs;e &longs;tata e<lb/>quale alla linea. </s>

<s>e. el mettallo di tal pezzo &longs;aria stato equalmente gro&longs;&longs;o &longs;i de &longs;opra, co <lb/>me di &longs;otto di tal pezzo: ma perche in questo ca&longs;o &longs;en&longs;ibelmente trouamo la linea. </s>

<s>f.<emph.end type="italics"/><lb/><figure id="fig5"></figure><lb/><emph type="italics"/>e&longs;&longs;er molto maggiore della linea. </s>

<s>e. e per tanto concluderemo e&longs;&longs;er molto piu gro&longs;&longs;o el <lb/>mettallo di&longs;opra, che di &longs;otto in tal pe<emph.end type="italics"/>zz<emph type="italics"/>o, & tanto piu gro&longs;&longs;o, quanto che la linea. </s>

<s>f. <lb/>&longs;ara piu longa della linea. </s>

<s>e. & contal ordine, e modo &longs;e die procedere dalla banda de<lb/>&longs;tra, & dalla &longs;ini&longs;tra etiam in tutte le altre parte, ouer bande a torno a torno di tal pez <lb/>zo notando &longs;empre le dette di&longs;tantie per linee, & con tai linee &longs;e cono&longs;cera minuta<lb/>mente la gro&longs;&longs;ezza, & &longs;ottigliezza del mettallo à torno à torno del foro di tal pe<emph.end type="italics"/>z<lb/><emph type="italics"/>zo, etiam per qual uer&longs;o, ouer banda penderanno li &longs;uoi tiri per le ragioni, per auanti <lb/>dette, che è il propo&longs;ito.<emph.end type="italics"/> A. Q<emph type="italics"/>ue&longs;to uostro modo è molto <expan abbr="&longs;pedi&etilde;te">&longs;pediente</expan>, et me piace a&longs;&longs;ai.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMO QVARTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo<emph.end type="italics"/> M. A<emph type="italics"/>lberghetto.<emph.end type="italics"/></s>

<s>ALBER GHETTO V<emph type="italics"/>n'altro dubbio ue uoglio <expan abbr="addimãdare">addimandare</expan>. </s>

<s>Accadete una <lb/>uolta, che prouando&longs;i alcuni pezzi à lio, uno de ditti pezzi dapoi alcuni tiri <lb/>nel di&longs;cargar&longs;e, andete con la te&longs;ta dauanti in terra, cioe con la bocca, et &longs;ubito che tal <lb/>pezzo &longs;u <expan abbr="giõto">gionto</expan> <expan abbr="cõ">com</expan> la detta bocca in terra (doue era molta &longs;abbia, ouer &longs;abbione) tiro<emph.end type="italics"/><pb pagenum="27"/><emph type="italics"/>gran quantita della detta &longs;abbia dentro da &longs;i, cioe dentro dal &longs;oro della <expan abbr="cãna">canna</expan>, hor ue ad <lb/>mando la cau&longs;a di tal effetto.<emph.end type="italics"/> N. V<emph type="italics"/>n ca&longs;o &longs;imil à que&longs;to, etiam alquanto piu fanta&longs;ti<lb/>co, mi fu ricercato da uno Bombardiero (come appare in que&longs;to al. </s>

<s>21. que&longs;ito) il quale, <lb/>&longs;i come nel uo&longs;tro, il pezzo tiro gran quantita di &longs;abbia dentro dal uacuo della canna, <lb/>nel &longs;uo, tal pezzo ue tiro dentro uno cagnolino, co&longs;a a&longs;&longs;ai ridicolo&longs;a, e pero que&longs;to uo<lb/>&longs;tro dubbio lo ri&longs;olueremo, &longs;i come ri&longs;olueßimo quello, cioe che per tir ar il pezzo, tal <lb/>pezzo nece&longs;&longs;ariamente &longs;e &longs;calda, & &longs;ubito che il &longs;ia alquanto caldo, &longs;ubito &longs;i fa alquan <lb/>to attrattiuo alla &longs;imilitudine d'una uento&longs;a, e tanto piu, quanto piu &longs;i troua caláo, e pe <lb/>ro non è marauiglia &longs;e tal pezzo tra&longs;&longs;e tal &longs;abbia dentro da &longs;e.<emph.end type="italics"/> A. Q<emph type="italics"/>ue&longs;ta uo&longs;tra <lb/>ragion molto mi con&longs;ona.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMOQVINTO FATTO DA <lb/><emph type="italics"/>uno Schioppettero, & etiam Bombardiero.<emph.end type="italics"/></s>

<s>SCHIOPPETIERO. H<emph type="italics"/>auendo io un &longs;chioppo con la &longs;ua mira tanto ben ac<lb/>concia, che tirando à un &longs;egno po&longs;to in piano, in una certa mia conueniente di&longs;tan<lb/>tia qua&longs;i la maggior parte delle uolte, dia preci&longs;amente in brocca, cioe nella co&longs;a tolta <lb/>de mira per picciola che la &longs;ia. </s>

<s>Ve adimando &longs;e tal mira co&longs;i ben acconcia me &longs;eruira à <lb/>tirare à un &longs;egno, o altra picciola co&longs;a, che &longs;ia po&longs;ta in àlto, in quella mede&longs;ima di&longs;tan<lb/><gap/>ia.<emph.end type="italics"/> N. E<emph type="italics"/>glie co&longs;a chiara, che tal mira non ue &longs;eruira co&longs;i preci&longs;amente tirando al<lb/>l'alta, & in quella mede&longs;ima di&longs;tantia.<emph.end type="italics"/> S. M<emph type="italics"/>a percheragione.<emph.end type="italics"/> N. L<emph type="italics"/>a ragione è que <lb/>sta, &longs;e tirando in piano in quella uo&longs;tra commune distantia uoi date la maggior parte <lb/>preci&longs;amente in brocca, nece&longs;&longs;ariamente in quella tal di&longs;tantia, & in tal luoco, ui &longs;e con <lb/>gionge, ouer concorre la uo&longs;tra linea ui&longs;uale, o per contingentia, ouer per inter&longs;eccatio <lb/>ne, con il tran&longs;ito, ouer uiaggio qual debbe far la balla. </s>

<s>Et perche nelli tiri elleuati, la <lb/>balla ua molto piu per linea retta, ouer linea men curua di quello ua nelli tiri fatti in <lb/>piano, cioe con il pezzo, ouer &longs;chioppo aliuellato, come fu di&longs;putato &longs;opra al &longs;econdo <lb/>que&longs;ito, e perche quanto che piu rettamente &longs;e i&longs;tende il tran&longs;ito, ouer uiaggio, qual deb <lb/>ba far la balla (tirando all'alta) di quello faceua tirando in piano, tanto piupre&longs;to uien <lb/>à concorrere, & à inter&longs;eccar&longs;e, il detto tran&longs;ito, ouer uiaggio, con la detta linea ui&longs;ua <lb/>le, di quello faceua tirando in piano. </s>

<s>Facendo&longs;i adunque tal inter&longs;eccatione piu propin<lb/>qua (per tirar co&longs;iin alto) la co&longs;a à chi &longs;e tira uien à re&longs;tare oltra à tal inter&longs;eccatione <lb/>(per e&longs;&longs;er quella nella mede&longs;ima prima distantia) & e&longs;&longs;endo fuora di tal inter&longs;eccatio<lb/>ne è impoßibile à dar preci&longs;amente in brocca per ragion delle mire.<emph.end type="italics"/> S. I<emph type="italics"/>o non inten<lb/>do troppo bene que&longs;te uo&longs;tre ragioni, ne manco uoglio che ue affaticati à darmele ad in <lb/>tendere, perche credo, che uoi ui hauere&longs;ti difficulta ma conchiudetemi pur &longs;e tir ando <lb/>à tal &longs;egno po&longs;to in alto, & nella mede&longs;ima prima di&longs;tantia io daro piu alto, ouer piu <lb/>ba&longs;&longs;o di tal &longs;egno.<emph.end type="italics"/> N. C<emph type="italics"/>onchiudo che uoi dariti piu alto, perche ogni uolta che la li<lb/>neaui&longs;uale &longs;e inter&longs;ecca con il tran&longs;ito, ouer uiaggio qual debbe far la balla, & che la <lb/>co&longs;a, ouer &longs;egno à che &longs;e tira &longs;ia oltra à tal inter&longs;eccatione, &longs;empre la balla percuotera <lb/>alquanto di &longs;opra del &longs;egno, & tanto piu alto quanto che il detto &longs;egno, &longs;ara piulon<lb/>tano dalla detta inter&longs;eccatione.<emph.end type="italics"/> S. C<emph type="italics"/>ertamente uoihaueti detto la uerita, et &longs;appiati <pb/>che io ho morto alli miei giorni. </s>

<s>2000. uccelli (dico di piccioli) & la mia longa i&longs;pe<lb/>rientia mi hafatto chiaro di quello che uoi me haueti detto, e pero ogni uolta che mioc<lb/>corre à tirare ad alcuno uccello che &longs;ia &longs;opra à qualche alboro nella mia con&longs;ueta <expan abbr="di-&longs;tãtia">di<lb/>&longs;tantia</expan>, io toglio &longs;empre la mira alli piedi di tal uccello, ma e&longs;&longs;endo tal uccello in piano, io <lb/>toglio la mira <expan abbr="preci&longs;am&etilde;te">preci&longs;amente</expan> nel corpo di tal uccello, ilche <expan abbr="fac&etilde;do">facendo</expan> rare uolte tiro in fallo.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMOSESTO FATTO <lb/><emph type="italics"/>dal mede&longs;imo Schioppettiero.<emph.end type="italics"/></s>

<s>SCHIOPPETTIERO. A<emph type="italics"/>nchora ui uoglio <expan abbr="adimãdarui">adimandarui</expan> un'oltro pa&longs;&longs;o, qual <lb/>è que&longs;to. </s>

<s>Se con il detto mio &longs;chioppo uoglio tirare à un &longs;egno po&longs;to al ba&longs;&longs;o, ma <lb/>pur nella mede&longs;ima di&longs;tantia (detta di&longs;opra) ue adimando &longs;e tal mia mir a mi &longs;eruira, &longs;i <lb/>come fa in piano, cioe &longs;e io daro in brocca, ouer di &longs;opra, ouer di &longs;otto dal detto &longs;egno.<emph.end type="italics"/><lb/>N. S<emph type="italics"/>enza dubbio che tal mira nonue &longs;eruiria in quella mede&longs;ima di&longs;tantia, per le me<lb/>de&longs;ime ragioni dette di &longs;opra, ma uoi dareti pur anchora piu alto del &longs;egno, cioe di &longs;o<lb/>pra dal detto &longs;egno.<emph.end type="italics"/> S. V<emph type="italics"/>oi dite pur anchor la uerita, perche ogni uolta che io tiro à <lb/>alcun uccello che &longs;ia in qualche ba&longs;&longs;ura, ouer di&longs;montata, la longa &longs;perientia miha fat<lb/>to cauto che &longs;empre piglio la mira pur nelli piedi di detto uccello, come faccio anchora <lb/>à quelli che &longs;ono all'alta, cioe &longs;opra à qualche arboro, ouer torre, & co&longs;i facendo rare <lb/>uolte tiro in fallo.<emph.end type="italics"/> N. I<emph type="italics"/>o ho molto à caro, che la uostra longa i&longs;perientia ui habbia <lb/>dato buona te&longs;timonianza, di quello che con ragioni naturale, ui ho conchiu&longs;o.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMOSETTIMO <lb/><emph type="italics"/>fatto dal mede&longs;imo <lb/>Schioppettiero.<emph.end type="italics"/></s>

<s>SCHIOPPETIERO. V<emph type="italics"/>n'altro pa&longs;&longs;o ui ho anchora di adimandarui qual è <lb/>questo, tir ando&longs;t con un &longs;chioppo à un ber&longs;aglio, ouer ad altro &longs;egno, de mira, & <lb/>che per &longs;orte la botta dia di &longs;opra dal &longs;egno, tra&longs;portando poi il detto &longs;egno alquanto <lb/>piu lontano, ouer ritir ando&longs;i il &longs;chioppettero alquanto piu in drio, & ritir ando poi an <lb/>chora de mira al detto &longs;egno, &longs;e adimanda&longs;e con tal tiro &longs;i dara piu alto, ouer piu ba&longs;&longs;o <lb/>dell'altro tiro.<emph.end type="italics"/> N. I<emph type="italics"/>n un &longs;imil ca&longs;o alla &longs;econda uolta &longs;i dara molto piu di &longs;opra dal &longs;e <lb/>gno di quello &longs;i fece alla prima.<emph.end type="italics"/> S. V<emph type="italics"/>oi haucti detto la uerita, perche me accaduto à <lb/>me uolendo inuestigare quanto tiraua de mira uno &longs;chioppo nuouo non piu tirato qual <lb/>in una certa commune di&longs;tantia mi da&longs;eua di&longs;opra dal&longs;egno, et facendo tra&longs;portar piu <lb/>di lontano il detto &longs;egno, cioe circa. </s>

<s>10. pa&longs;&longs;a con &longs;peranza de dar in brocca, & ritiran <lb/>do al mede&longs;imo &longs;egno, io percoßi molto piu di &longs;opra dal &longs;egno alla &longs;econda uolta che al<lb/>la prima, la qual co&longs;a, mi parue tanto fuora diragione quanto dir &longs;e po&longs;&longs;a, perche à mi <lb/>me parea, è pare anchora che allontanando il &longs;egno &longs;e doueria battere piu ba&longs;&longs;o, di quel <lb/>lo &longs;i faceua &longs;tandoui piu appre&longs;&longs;o, e per tanto haueria molto accaro à intendere la cau<lb/>&longs;a di que&longs;to inconueniente.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;to non è inconueniente, anci è co&longs;a conueniente à <lb/>far quello che diragion de fare, & inconueniente grandißimo &longs;aria&longs;e &longs;eguita&longs;&longs;e &longs;econ-<emph.end type="italics"/><pb pagenum="28"/><emph type="italics"/>do il detto uo&longs;tro parere, perche ogni uolta che un &longs;chioppetiero, ouer bombardicro <lb/>tiri de mira à un &longs;egno, & che per uigor, ouer difetto delle due mire lui dia di &longs;opra dal <lb/>&longs;egno. </s>

<s>Eglie manife&longs;io che la linea ui&longs;uale inter&longs;ecca, il tran&longs;ito, ouer uiaggio qual deb<lb/>be far la balla, & che tal inter&longs;eccatione che fa la detta linea ui&longs;uale con il detto uiaggio <lb/>qual debbe far la balla, &longs;e fa de qua dal &longs;egno (per le ragioni adutte nel. </s>

<s>7. que&longs;ito) & <lb/>perche per un molto longo &longs;pacio, quanto piu il &longs;egno doue &longs;e tira &longs;ia piu oltra la detta <lb/>inter&longs;eccatione, tanto piu la perco&longs;&longs;a dara di &longs;opra dal&longs;egno, tra&longs;portando adunque il <lb/>detto &longs;egno, per alquanto piu lontano, &longs;imilmente per alquanto piu lontano &longs;ara tra&longs;<lb/>ferido dalla dalla mede&longs;ima inter&longs;eccatione, et per tanto la botta dara piu alta, ouer piu <lb/>di &longs;opra dal &longs;egno dell'altra, & tanto piu quanto che piu lontano per fin à un certo ter <lb/>mine &longs;ara tras&longs;erito, ouer tra&longs;portato il detto &longs;egno il mede&longs;imo &longs;eguiria &longs;eil &longs;chiop<lb/>petiero, ouer bombardiero &longs;e ritira&longs;&longs;e per alquan<gap/>o in drio, & tutto que&longs;to che ho det<lb/>to &longs;e debbe intendere quando che la botta è alta per difetto delle due mire, & non per di <lb/>fetto de colui che tira, perche &longs;e per difetto de colui che tira, cioe che nel di&longs;cargare il <lb/>&longs;chioppo lui face&longs;&longs;e alcun mouimento, & che per tal mouimento lui de&longs;&longs;e di&longs;opra, ouer <lb/>di&longs;otto, ouer co&longs;ter dal &longs;egno, tal inconueniente non &longs;i comprende nel no&longs;tro ragiona<lb/>mento, ma <expan abbr="&longs;olam&etilde;te">&longs;olamente</expan> quando che tal effetto occorre per difetto delle due mire del&longs;chiop <lb/>po. </s>

<s>Anchor bi&longs;ogna auertire, che il detto &longs;egno &longs;e potria tra&longs;portar tanto, & tanto lon <lb/>tano dalla prima po&longs;itione, che non &longs;olamente &longs;e potria dar piu propinquo al&longs;egno del<lb/>la prima botta, ma anchora &longs;e potria dar nel proprio &longs;egno, per le ragioni adutte nel fi <lb/>ne del. </s>

<s>7. que&longs;ito, cioe &longs;e per &longs;orte &longs;e tra&longs;porta&longs;&longs;e tanto, & tanto lontano il detto &longs;egno, <lb/>& che per &longs;orte &longs;e mette&longs;&longs;e nel luoco doue che la nostra linea ui&longs;uale fa la &longs;econda in<lb/>ter&longs;eccatione, <expan abbr="cõ">com</expan> il <expan abbr="trã&longs;ito">tran&longs;ito</expan> della balla &longs;enza dubbio &longs;e daria in brocca (come fu detto &longs;o <lb/>pra al detto. </s>

<s>7. que&longs;ito) & &longs;e p ca&longs;o <expan abbr="nõ">non</expan> fu&longs;&longs;e co&longs;i preci&longs;e in tal &longs;econda inter&longs;eccatione, <lb/>ma propinquo, tal botta non dara co&longs;i preci&longs;amente in brocca, ma ben ui dara propin<lb/>quo, cioe &longs;e tal &longs;egnó &longs;ara alquanto di qua da tal inter&longs;eccatione, dar a alquanto di&longs;opra <lb/>dal &longs;egno, & &longs;e &longs;ara alquanto de la, dara alquanto di &longs;otto dal detto &longs;egno, & tutto que <lb/>sto facilmente &longs;e apprendera dalle ragioni adutte per figura in fine del detto. </s>

<s>7. que&longs;i<lb/>to. </s>

<s>Vero è, che il detto &longs;egno &longs;e potria tra&longs;portar tanto di la della detta &longs;econda inter<lb/>&longs;eccatione che la balla non potria aggiongere à quello, come per ragion naturale fa<lb/>cilmente &longs;i puo comprendere.<emph.end type="italics"/> S. H<emph type="italics"/>o inte&longs;o benißimo la uo&longs;tra ragione, & la bo <lb/>molto accara.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMO OTTAVO <lb/><emph type="italics"/>fatto dal mede&longs;imo <lb/>Schioppettiero.<emph.end type="italics"/></s>

<s>SCHIOPPETIERO. D<emph type="italics"/>al &longs;opradetto que&longs;ito me ne uenuto un'altro in men <lb/>te, qual è que&longs;to, &longs;e <expan abbr="tirãdo">tirando</expan> <expan abbr="cõ">com</expan> il detto mio &longs;chioppo pur à un &longs;egno de mira, et che p <lb/>di&longs;etto delle due mire io de&longs;&longs;e di &longs;otto dal&longs;egno, <expan abbr="tra&longs;portãdo">tra&longs;portando</expan> anchora il detto &longs;egno al<lb/>quanto piu lontano, ouer <expan abbr="ritirãdomi">ritirandomi</expan> alquanto in drio, & ritir ando al mede&longs;imo &longs;egno <lb/>de mira, ue adimando &longs;e questa &longs;econda botta &longs;ara piu alta, ouer piu ba&longs;&longs;a della prima.<emph.end type="italics"/><pb/>N. I<emph type="italics"/>n que&longs;to ca&longs;o puo far uarie mutationi, perche la mira dauanti puo e&longs;&longs;ere <gap/>gual<lb/>mente alta alla mira de drio, & puo e&longs;&longs;ere anchora piu alta, & anchora piu ba&longs;&longs;a di <lb/>quella, &longs;e per ca&longs;o adunque la mira <expan abbr="dauãti">dauanti</expan> &longs;ara eguale, ouer maggiore di quella de drio <lb/>(per le ragioni adutte nel principio del. </s>

<s>7. que&longs;ito) quanto piu &longs;e tra&longs;portara tal &longs;egno <lb/>di lontano, tanto piu ba&longs;&longs;a &longs;ara la botta. </s>

<s>Ma &longs;e la mira dauanti &longs;ara piu ba&longs;&longs;a di quella <lb/>de drio, & che per &longs;orte la &longs;ia talmente piu ba&longs;&longs;a di quella, che la no&longs;tra linea ui&longs;uale <lb/>uada realmente à &longs;egare il tran&longs;ito, ouer uiaggio qual debbe far la balla, come &longs;e dimo<lb/>&longs;tra in fine del. </s>

<s>7. que&longs;ito, in tal ca&longs;o, la &longs;econda botta nece&longs;&longs;ariamente &longs;ara di &longs;opra della <lb/>prima, uero è che la puo e&longs;&longs;er anchor lei pur di &longs;otto dal&longs;egno, cioe fra il &longs;egno, & la <lb/>prima botta, & puol e&longs;&longs;er anchora preci&longs;amente nel proprio &longs;egno, cioe in brocca, & <lb/>anchor puol e&longs;&longs;er di&longs;opra dal &longs;egno, perche ogni uolta che la detta mira dauanti &longs;ia tal <lb/>meute piu ba&longs;&longs;a di quella de drio, che la no&longs;tra linea ui&longs;uale uada realmente à &longs;egare il <lb/>detto tran&longs;ito, ouer uiaggio qual debbe far la balla, come di &longs;opra è detto, & che in un <lb/>&longs;imil ca&longs;o alcuno &longs;chioppettero, ouer bombardiero tiri de mira à un &longs;egno, & che per <lb/>uigore delle dette due mire (et <expan abbr="nõ">non</expan> p &longs;uo difetto) lui dia di&longs;otto del &longs;egno, eglie manife<lb/>&longs;to che la inter&longs;eccatione, che fa la linea ui&longs;uale, conil tran&longs;ito, ouer uiaggio che debbe <lb/>far la bella, per le ragioni adutte in fine del &longs;ettimo que&longs;ito, &longs;ara de la dal &longs;egno, cioe che <lb/>il &longs;egno &longs;ara fra la detta inter&longs;eccatione, & colui che tira. </s>

<s>Et per tanto, &longs;e il luoco doue <lb/>&longs;ara tra&longs;portato il detto &longs;egno, &longs;ia anchora di qua da tal inter&longs;eccatione, nece&longs;&longs;aria<lb/>mente la detta &longs;econda botta &longs;ara di &longs;otto dal &longs;egno, uero è che ui &longs;ara piu propinqua <lb/>della prima, cioe &longs;ara fra il &longs;egno, & la prima botta, ma &longs;e la tra&longs;portatione del &longs;egno <lb/>&longs;ara per &longs;orte nel luoco della propria inter&longs;eccatione, al detto &longs;econdo tiro &longs;i dara pre<lb/>ci&longs;amente in brocca, cioe nel detto &longs;egno tolto de mira, ma &longs;e per &longs;orte il detto &longs;egno &longs;a<lb/>ra tra&longs;portato oltra la detta inter&longs;eccatione nece&longs;&longs;ariamente la detta &longs;econda botta da <lb/>ra di&longs;opra dal &longs;egno, & tanto piu dara di &longs;opra quanto che piu oltra la detta inter&longs;ec<lb/>catione &longs;ara tra&longs;portato detto &longs;egno, per fin à uno certo termine (come in fine del pre<lb/>cedente que&longs;ito anchor fu detto) ma &longs;e la detta mira dauanti &longs;ara pur alquanto piu ba&longs;<lb/>&longs;a di quella de drio, ma che tal &longs;ua ba&longs;&longs;ezza &longs;ia tanto poca, che non&longs;ia atta di condure la <lb/>no&longs;tra linca ui&longs;uale tanto ba&longs;&longs;a che &longs;i po&longs;&longs;a congiongere con il uiaggio, ouer tran&longs;ito, <lb/>qual debbe far la balla, anchora in que&longs;to ca&longs;o in ogni tra&longs;portatione del detto &longs;egno, la <lb/>botta dara pur di &longs;otto dal &longs;egno, uero è, che tal &longs;econda botta potria dar di &longs;opra, & <lb/>anchor di &longs;otto della prima, & anchora in quella mede&longs;ima, perche &longs;e la prima po&longs;ition <lb/>del &longs;egno &longs;ara per &longs;orte nel luoco doue che la linea ui&longs;uale pa&longs;&longs;a piu propinquo al tran <lb/>&longs;ito, ouer uiaggio qual debbe far la balla (come &longs;e dimo&longs;tra nel. </s>

<s>8. que&longs;ito) tra&longs;portan<lb/>do poi il detto &longs;egno oltra al detto luoco &longs;enza dubbio la &longs;econda botta &longs;ara piu ba&longs;&longs;a <lb/>della prima, il mede&longs;imo &longs;eguiria quando, che la po&longs;itione del &longs;egno fu&longs;&longs;e oltra al detto <lb/>luoco. </s>

<s>Ma quando che la detta prima po&longs;itione de &longs;egno fu&longs;&longs;e de qua da tal luoco (piu <lb/>propinquo tra&longs;portando poi il detto &longs;egno piu appre&longs;&longs;o à tal luoco, la detta &longs;econda <lb/>botta &longs;ara di &longs;opra della prima, ma pur &longs;ara di &longs;otto dal &longs;egno, cioe &longs;ara fra la prima <lb/>botta, & il &longs;egno. </s>

<s>Ma quando tal &longs;egno fu&longs;&longs;e tra&longs;portado di la di tal luoco propinquo <lb/>potria e&longs;&longs;er tanto poco di la che pur la detta &longs;econda botta &longs;ara fra la prima, & il &longs;e<lb/>gno, & potria e&longs;&longs;er anchor tanto di la che la detta &longs;econda botta dara di &longs;otto della pri-<emph.end type="italics"/><pb pagenum="29"/><emph type="italics"/>ma, & potrìa anchor e&longs;&longs;er co&longs;i proportionalmente di la, che la detta &longs;econda botta da <lb/>ria preci&longs;amente nel luocho della prima, & tutto que&longs;io, che ben con&longs;iderara la figu<lb/>ratione del ottauo quæ&longs;ito, &longs;ar a manife&longs;to. </s>

<s>Ma quando che la mira dauanti haue&longs;&longs;e per <lb/>&longs;orte la &longs;ua debita & conueniente ba&longs;&longs;ezza re&longs;petto à quella de drio, laqual co&longs;a acca <lb/>de rare uolte, cioe che la linea ui&longs;uale anda&longs;&longs;e preci&longs;amente à toccare, ma non &longs;egare, <lb/>el tran&longs;ito, ouer uiaggio: qual debbe far la balla. </s>

<s>Et che in un &longs;imel ca&longs;o alcun &longs;cioppet<lb/>tero, ouer bombardiero tira&longs;&longs;e de mira ad alcun &longs;egno, & che per uigore delle dette <lb/>due mire & non per &longs;uo diffetto, lui de&longs;&longs;e di &longs;otto dal &longs;egno, per le co&longs;e dette & dimo<lb/>strate nel. </s>

<s>9. que&longs;ito, puo occorrer che tal &longs;egno &longs;ia di qua etiam di la dal toccamento <lb/>delle dette due linee, perche co&longs;i e&longs;&longs;endo di qua, come di la da tal toccamento &longs;empre da <lb/>ra di &longs;otto dal &longs;egno, come &longs;opra alla figura del detto. </s>

<s>9. Que&longs;ito facilmente &longs;e appren<lb/>de, uero è, che quando tal prima botta fu&longs;&longs;e molto ba&longs;&longs;a, &longs;aria da giudicare che tal &longs;e<lb/>gno fu&longs;&longs;e di la dal detto toccamento, perche e&longs;&longs;endo de qua tal botta, non puo e&longs;&longs;er mol <lb/>to ba&longs;&longs;a, per le ragioni adutte nel detto nono Que&longs;ito, &longs;e tal &longs;egno adunque &longs;ara de la <lb/>dal detto toccamento, & tra&longs;portando poi tal &longs;egno anchor piu in la, cioe piu lontano <lb/>dal detto toccamento, &longs;enza dubbio la &longs;econda botta &longs;ara molto piu ba&longs;&longs;a della prima. <lb/>Ma quando che tal &longs;egno fu&longs;&longs;e di qua dal detto toccamento, tra&longs;portandolo poi piu in <lb/>la, puo occorrere che tal &longs;egno in tal &longs;econda po&longs;itione, &longs;ia anchor di qua dal detto toc <lb/>camento, & puo accadere, che &longs;ia nel proprio toccamento, & puo e&longs;&longs;er anchor che &longs;ia <lb/>di la da tal toc camento. </s>

<s>Sel &longs;egno adunque in tal &longs;econda po&longs;itione &longs;ara de qua dal toc <lb/>camento, la &longs;ecouda botta &longs;ara de &longs;opra della prima, uero è, che &longs;ara pur de &longs;otto dal <lb/>&longs;egno, cioe &longs;ara fra el &longs;egno, & la prima botta. </s>

<s>Ma &longs;el detto &longs;egno in tal &longs;econda po&longs;i<lb/>tione &longs;ara p &longs;orte nel <expan abbr="põto">ponto</expan> del detto toccamento, la detta <expan abbr="&longs;ecõda">&longs;econda</expan> botta dara preci&longs;amen <lb/>te in brocca. </s>

<s>Ma &longs;el detto &longs;egno in tal &longs;econda po&longs;itione &longs;ara de la dal detto toccamen<lb/>to, puo e&longs;&longs;er tanto de la, che la detta &longs;econda botta &longs;ara piu ba&longs;&longs;a della prima, & puo e&longs; <lb/>&longs;er anchora co&longs;i poco di la da tal toccamento, che la detta &longs;econda botta &longs;ara di &longs;opra <lb/>della prima, ma pur di &longs;otto dal &longs;egno, cioe fra il &longs;egno e la prima botta, & puo e&longs;&longs;ere <lb/>anchora co&longs;i proportionalmente di la, che la detta <expan abbr="&longs;ecõda">&longs;econda</expan> botta dara preci&longs;amente nel <lb/>luoco della prima.<emph.end type="italics"/> S. Q<emph type="italics"/>ueste uo&longs;tre ragioni certamente me ingra&longs;&longs;ano, & que&longs;to <lb/>procede, perche le comenzo à intendere, e per que&longs;to mio intendere, <expan abbr="quãdo">quando</expan> che mi cre <lb/>deua di por fine à mei Que&longs;iti, le uo&longs;tre argumentationi me inducono nuoue chimere <lb/>uella mente mia, ouer nuoui dubbij de addimandarui, ma dubito de non farui fa&longs;tidio.<emph.end type="italics"/><lb/>N. S<emph type="italics"/>eguitati pur, che non mi fatti fa&longs;tidio alcuno.<emph.end type="italics"/></s>

<s>QVESITO VIGESIMONONO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Schioppettero.<emph.end type="italics"/></s>

<s>SCHIOPPETTERO. P<emph type="italics"/>er quanto po&longs;&longs;o con&longs;iderare per le uo&longs;tre argumen <lb/>tationi do &longs;opra adutte, la openione uo&longs;tra è, che &longs;e il &longs;egno doue &longs;e tira de mira <expan abbr="nõ">non</expan> <lb/>&longs;e imbatte per &longs;orte à e&longs;&longs;er nel ponto doue concorre la lineaui&longs;uale con el tran&longs;ito, o<lb/>uer uiaggio qual debbe far la balla, non &longs;i po&longs;&longs;a dare preci&longs;amente in brocca. </s>

<s>La qual <lb/>co&longs;a, da una <expan abbr="bãda">banda</expan> p <expan abbr="ragiõ">ragiom</expan> naturale <expan abbr="cõ&longs;idero">con&longs;idero</expan>, che eglie neceßario co&longs;i eßer, ma da laltra<emph.end type="italics"/><pb/><emph type="italics"/>banda, la mia longa i&longs;perientia pare, che non corre&longs;ponda preci&longs;amente à questo: ma <lb/>innanti che io ue dica in que conto la non me corre&longs;ponda, uoglio che me chiariti que<lb/>&longs;to altro dubbio, cioe. </s>

<s>Donde procede, che ogni &longs;chioppettero, & anchor bombar die<lb/>ro generalmente quanto piu &longs;ta propinquo à un &longs;egno tolto de mira, tanto piu è atto <lb/>à darui dentro, ouer à far piu bella botta, & in ogni qualita de mire.<emph.end type="italics"/> N. P<emph type="italics"/>er ri&longs;ol<lb/>uere regolatamente que&longs;to uostro dubbio, in tutte le &longs;orte, ouer qualita de differentie <lb/>che occorrer po&longs;&longs;a nelle due mire. </s>

<s>Incominciaremo prima, <expan abbr="quãdo">quando</expan> che per &longs;orte la mi <lb/>ra dauanti fu&longs;&longs;e preci&longs;amente di quella mede&longs;ima altezza, che è quella de drio. </s>

<s>Dico <lb/>adunque, che quando la mira dauanti &longs;ara egualmente alta à quella de drio in tal ca&longs;o, <lb/>quanto piu colui, che tirara stara propinquo al &longs;egno, tanto piu &longs;ara atto à darui den<lb/>tro, ouer à far piu bella botta, & que&longs;to &longs;eguita per due cau&longs;e. </s>

<s>La prima è, perche &longs;em <lb/>pre (come fu detto &longs;opra el &longs;ettimo Que&longs;ito) tal &longs;chioppo, ouer pezzo dara di &longs;otto <lb/>dal &longs;egno, che &longs;e tol de mira, & tanto piu ba&longs;&longs;a &longs;ara tal botta, quanto che piu lontano <lb/>&longs;ara dal detto &longs;egno, & è conuer&longs;o, quanto che piu propinquo &longs;ara al &longs;egno, tanto men <lb/>ba&longs;&longs;a &longs;ara tal botta, & la menor ba&longs;&longs;e<emph.end type="italics"/>zz<emph type="italics"/>a, che ui po&longs;&longs;a occorrere in &longs;imel ca&longs;o, &longs;aria <lb/>quella, quando, che &longs;e &longs;te&longs;&longs;e tanto propinquißimo al&longs;egno, che la i&longs;tremita della mira <lb/>de nanti, tocca&longs;&longs;e qua&longs;i el detto &longs;egno, che &longs;i tol de mira, la qual ba&longs;&longs;ezza puo e&longs;&longs;er cir <lb/>ta à tanto, quanto che è la di&longs;tantia, che è dalla i&longs;tremita de l'una, e l'altra mira al ua<lb/>cuo della canna, la quale puo e&longs;&longs;er poco piu della gro&longs;&longs;ezza del mettallo del pe<emph.end type="italics"/>zz<emph type="italics"/>o ne <lb/>la parte de drio, che in un &longs;chioppo puo e&longs;&longs;er circa à tanto, quanto è la gro&longs;&longs;ezza di <lb/>un dedo, & in un pe<emph.end type="italics"/>zz<emph type="italics"/>o gro&longs;&longs;o tanto piu, quanto piu &longs;ara gro&longs;&longs;o di mettallo nella par <lb/>te de drio. </s>

<s>Et <expan abbr="quãtunque">quantunque</expan> la balla &longs;ubito, che è u&longs;cita della bocca del &longs;chicppo, ouer pez <lb/>zo, uada continuamente declinando al ba&longs;&longs;o (come &longs;i dimo&longs;tra nel terzo Que&longs;ito) ta<lb/>men per un poco di tempo, ouer &longs;patio, quando che tal balla &longs;i pote&longs;&longs;e uedere tal &longs;uo de<lb/>clinare non &longs;aria &longs;en&longs;ibile, cioe chel no&longs;tro occhio non lo potria di&longs;cernere, e pero in <lb/>un corto &longs;patio, per conto delle dette mire, tal &longs;chioppo puo dar poco piu ba&longs;&longs;o del &longs;e<lb/>gno tolto de mira di quella gro&longs;&longs;ezza d'un dedo, detta di &longs;opra, dico per uigor delle mi <lb/>re, e non per difetto di colui che tira, perche li difetti, & accidenti, che puo occorrere <lb/>per difetto di colui che tira, non &longs;e comprendono nelli no&longs;trir agionamenti, & que&longs;ta <lb/>é la prima cau&longs;a, che un &longs;chioppettero, & anchor bombardiero, quando che la mira da <lb/>uanti è di quella mede&longs;ima alte<emph.end type="italics"/>zz<emph type="italics"/>a, che è quella de drio, quanto piu stara propinquo <lb/>al &longs;egno tolto de mira, tanto piu &longs;ara atto à darui dentro, ouer à far piu bella botta di <lb/>quello fara à &longs;tarui piu lontano, et per que&longs;ta mede&longs;ima cau&longs;a occorreria el mede&longs;imo, <lb/>quando che la mira de nanti fu&longs;&longs;e alquanto piu alta di quella de drio, perche in &longs;imel ca <lb/>&longs;o, come fu detto nel detto &longs;ettimo Que&longs;ito, &longs;empre tal pezzo dara di &longs;otto dal &longs;egno <lb/>tolto de mira, & tanto piu di &longs;otto, qoanto che piu &longs;ara lontano dal detto &longs;egno, & la <lb/>menor ba&longs;&longs;ezza che ui poßi occorrere in tal ca&longs;o puo e&longs;&longs;er circa à tanto, quanto che <lb/>&longs;ara dalla i&longs;tremita della mira dauanti, al uacuo della canna de tal &longs;chioppo, ouer arte<lb/>gliaria, ouer poco piu, la qual co&longs;a, quando chel &longs;egno fu&longs;&longs;e, come di &longs;opra dißi, propin <lb/>quißimo alla bocca del &longs;chioppo potria e&longs;&longs;er poco piu dell'altra, cioe poco piu della <lb/>gro&longs;&longs;ezza dun dedo, uero é che in di&longs;tantie equale daria alquanto piu ba&longs;&longs;o dell altra, <lb/>detta di &longs;opra, ma poco piu ba&longs;&longs;o, maßime in una piccola di&longs;tantia, &longs;i che, come di &longs;o-<emph.end type="italics"/><pb pagenum="30"/><emph type="italics"/>pra è detto, que&longs;ta è la prima cau&longs;a, che un &longs;chioppettero, & anchor bombardiero, <lb/>quando che la mira dauanti fu&longs;&longs;e ben alquanto piu alta di quella de drio, quanto piu <lb/>&longs;tara propinquo al &longs;egno tolto de mira, tanto piu &longs;ara atto à darui dentro, ouer à fare <lb/>piu bella botta di quello &longs;aria à &longs;tarui piu lontano. </s>

<s>Ma oltra à que&longs;ta prima cau&longs;a io re <lb/>puto, che la ragion naturale ne in&longs;egni una altra al detto bombardiero, ouer &longs;chioppet <lb/>tero, la qual è que&longs;ta, che ogni uolta, che lui è molto propinquo al &longs;egno doue uol tira <lb/>re, che lui non pigli la mira nel proprio &longs;egno, ma alquanto di &longs;opra dal &longs;egno, perche <lb/>el die comprendere per di&longs;cretione naturale, che le istremita delle due mire &longs;ono <expan abbr="alquã">alquam</expan> <lb/>to piu ad alto della bocca del pezzo, doue u&longs;ci&longs;&longs;e la balla, la qual co&longs;a facendo, uiene à <lb/>medicare quel poco errore, detto di &longs;opra, che doueria far in ba&longs;&longs;ezza quel tal tiro, <lb/>il che lo fa piu atto à dar preci&longs;amente in brocca. </s>

<s>Et per tanto dico, &longs;e quando la mi<lb/>ra dauanti è equalmente alta, & anchor alquanto piu alta di quella de drio, el bombar <lb/>diero, ouer &longs;chioppettero è tanto piu atto à dar nel &longs;egno doue tira, ouer à far piu bel<lb/>la botta, quanto piu ui sta propinquo, per le due ragioni di &longs;opra adutte, molto mag<lb/>giormente, per le mede&longs;ime ragione, &longs;eguiria el mede&longs;imo, quando che la mira dauanti <lb/>&longs;ara alquanto piu ba&longs;&longs;a di quella de drio, & &longs;ia tal &longs;ua ba&longs;&longs;ezza troppo, ouer poco à <lb/>&longs;ufficienza: perche in qual &longs;i uoglia modo, che la &longs;ia piu ba&longs;&longs;a, la uien à unir piu la linea <lb/>ui&longs;uale con el uiaggio qual debba far la balla, et continuamente piu per fina al luoco do <lb/>ue che tal linea uisuale &longs;ega, ouer tocca, ouer che paßa piu propinqua al detto tran&longs;i<lb/>to, ouer uiaggio, qual debbe far la balla di quello &longs;i fa nelle due po&longs;itione dette di &longs;opra, <lb/>perche in quella la detta linea uisuale continuamente &longs;i ua discostando dal detto tran&longs;i<lb/>to, ouer uiaggio, che debbe far la balla, & in que&longs;te continuamente la ui &longs;i ua piu acco<lb/>&longs;tando, per fin al luoco detto di&longs;opra, & quantunque anchora in que&longs;ta &longs;econda po&longs;i<lb/>tione de mire quanto piu el &longs;egno, che &longs;e tuol de mira, sara de qua dal luoco doue con<lb/>correra la linea ui&longs;uale con el detto tran&longs;ito, ouer uiaggio, ouer dal luoco, doue che piu <lb/>tran&longs;iranno uicine, ouer propinque, dette linee, tanto piu ba&longs;&longs;a sara la botta, come &longs;e <lb/>dimo&longs;tra nel &longs;ettimo, ottauo, & nono Que&longs;ito, tamen la ba&longs;&longs;ezza puo e&longs;&longs;er poca, co<lb/>me fu detto &longs;opra li predetti Que&longs;iti, pche la maggiore che ui po&longs;&longs;a occorrere saria <lb/>quella, che nelle altre due prime era la maggiore, cioe quando chel segno, che &longs;e tol de <lb/>mira fu&longs;&longs;e propinquißimo alla mira dauanti, cioe alla bocca del &longs;chioppo, ouer pez<lb/>zo, la qual di sopra determinaßimo in un &longs;chioppo poter e&longs;&longs;er poco piu della gro&longs;&longs;ez <lb/>za dun dedo, se la maggior ba&longs;&longs;ezza adunque é poco piu dun dedo in un &longs;chioppo &longs;tan <lb/>do al segno propinquißimo alla bocca di quello. </s>

<s>E&longs;&longs;endo adunque tal &longs;egno alquanto <lb/>lontano da detta bocca, nece&longs;&longs;ariamente men ba&longs;&longs;a &longs;ara la &longs;ua botta, cioe men di quella <lb/>gro&longs;&longs;e<emph.end type="italics"/>zz<emph type="italics"/>a dun dedo, & tanto men ba&longs;&longs;a, quanto che &longs;ara piu lontano dalla bocca del <lb/>&longs;chioppo, pur che non &longs;ia oltra alla detta intersecatione, ouer toccamento che fa la det <lb/>ta linea uisuale con el tran&longs;ito della balla, ouer alla maggior propinquita di quelle, <expan abbr="eß&etilde;">eßem</expan> <lb/>do adunque tal segno lontano al men diece pa&longs;&longs;a della detta bocca del &longs;chioppo, qua&longs;i <lb/>che la ba&longs;&longs;ezza de tal botta non &longs;aria &longs;en&longs;ibile, oltra che, come di &longs;opra dißi, <expan abbr="quãdo">quando</expan> che <lb/>colui, che tira è molto propinquo al &longs;egno doue tira, credo per una certa de&longs;cretione <lb/>naturale, che lui non pigli la mira preci&longs;amente nella brocca, ma una minima co&longs;a piu <lb/>alto, perche lui die comprendere per ragion naturale, come di &longs;opradißi, che la i&longs;tre-<emph.end type="italics"/><pb/><emph type="italics"/>mita delle due mire &longs;ono alquanto piu alte della brocca del &longs;chioppo doue u&longs;ci&longs;&longs;e la bal<lb/>la. </s>

<s>la qual co&longs;a facendo (come credo che faccia) ueneria ad annular quel poco errore, <lb/>che doueria far in ba&longs;&longs;ezza la detta balla, & per que&longs;te due cau&longs;e tal &longs;chioppettero, <lb/>ouer bombardero con tal &longs;orte di mire generalmente &longs;ara molto piu atto à dar nel &longs;e<lb/>gno, ouer à far piu bella botta in un luoco propinquo di quello &longs;aria con le due prime <lb/>qualita de mire dette nel principio di que&longs;to Que&longs;ito, perche in que&longs;ta qualita la linea <lb/>ui&longs;uale per molto &longs;patio ua qua&longs;i congionta, ouer poco di&longs;tante dal tran&longs;ito della balla, <lb/>e pero in tutto quel &longs;pacio che è fra la bocca del &longs;chioppo, & el luoco doue concorano <lb/>le dette due linee, ouer doue che &longs;ono piu propinque, non &longs;e è &longs;uggetto qua&longs;i ad alcuno <lb/>errore per le ragion dette di &longs;opra, dico ad alcuno errore p conto delle mire.<emph.end type="italics"/> S. C<emph type="italics"/>er <lb/>tamente con que&longs;to uo&longs;tro ragionamento uoi me haueti &longs;atisfatto in tutto, e per tutto, <lb/>perche da una banda io teneua, per le ragioni da uoi adutte nel precedente Que&longs;ito, <lb/>che fu&longs;&longs;e impoßibile à dar in un &longs;egno tolto de mira, quando che tal &longs;egno non fu&longs;&longs;e pre <lb/>ci&longs;amente nel ponto della inter&longs;ecatione, ouer del toccamento delle due linee concor<lb/>rente, cioe della linea ui&longs;uale, & del tran&longs;ito della balla, & dell'altra banda, me parcua <lb/>che la mia longa i&longs;perientia non corre&longs;ponde&longs;&longs;e à questo, perche con el mio &longs;chioppo <lb/>ho tirato, & morto infiniti uccelli, alcuni à &longs;tarui competentamente da lontano, alcu<lb/>ni altri à &longs;tarui co&longs;i <expan abbr="mediocrem&etilde;te">mediocremente</expan> di lontano, et alcuni altri &longs;tarui molto propinquo, <lb/>la qual co&longs;a non potria accadere, e&longs;&longs;endo, come prima tenea (perche &longs;e le mire del detto <lb/>mio &longs;chioppo &longs;ono tale, che mi facciano concorrere la mia linea ui&longs;uale con el tran&longs;ito <lb/>della balla, el ponto di tal <expan abbr="cõcor&longs;o">concor&longs;o</expan> eglie da credere, che &longs;empre &longs;i faccia qua&longs;i in una me <lb/>de&longs;ima di&longs;tantia (maßime tir ando per un mede&longs;imo uer&longs;o, e cargandolo &longs;empre à uno <lb/>mede&longs;imo modo) e per tanto e&longs;&longs;endo &longs;tata la co&longs;a à che &longs;e tira piu, ouer men distante di <lb/>quella tal determinata di&longs;tantia, &longs;aria &longs;tato impoßibile à imbroccar la detta co&longs;a tol<lb/>ta de mira, e gia (come di &longs;opra ho detto) per i&longs;perientia ritrouaua al contrario, cioe <lb/>che in di&longs;tantie commune, & mediocre, & propinque, & in un mede&longs;imo uer&longs;o me oc<lb/>cor&longs;o molte uolte à dar imbrocca con el mio &longs;chioppo, la qual co&longs;a mi faceua &longs;tar mol <lb/>to ambiguo, ma uoi me haueti ottimamente da ogni dubbio fatto chiaro, & maßime <lb/>che ogni uolta che mi occorre à tirare à qualche uccello, che me &longs;ia molto propinquo, <lb/>io co&longs;tumo come di &longs;opra dicesti, cioe à pìgliar la mira talmente piu alto, che la bocca <lb/>del mio &longs;chioppo uenga à <expan abbr="cõuerzerme">conuerzerme</expan> lo uccello, il che <expan abbr="fac&etilde;do">facendo</expan> rare uolte tiro in fallo.<emph.end type="italics"/><lb/>N. M<emph type="italics"/>i piace a&longs;&longs;ai, che la uo&longs;tra longa &longs;perientia ui renda bona te&longs;timonianza di quel <lb/>lo, che per ragion naturale, e geometrica la mia mente &longs;ente.<emph.end type="italics"/> S. Q<emph type="italics"/>uantunque del mio <lb/>dubbio me habbiati fatto chiaro, nondimeno pen&longs;ando &longs;oprala uo&longs;tra argumentatio<lb/>ne, me ne occor&longs;o nouamente un'altro in mente, ma dubito <expan abbr="dinõ">dinon</expan> farui fa&longs;tidio.<emph.end type="italics"/> N. S<emph type="italics"/>e <lb/>guitati pur che non mi fatte fastidio alcuno, anci me fatti appiacere.<emph.end type="italics"/></s>

<s>QVESITO TRIGESIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Schioppetero.<emph.end type="italics"/></s>

<s>SCHIOPPETTERO N<emph type="italics"/>ella argumentatione per uoi fatta &longs;opra al <expan abbr="preced&etilde;">precedem</expan> <lb/>te Que&longs;ito, <expan abbr="cõ">com</expan> bonißime ragionihauete dimo&longs;trato <expan abbr="qualm&etilde;te">qualmente</expan> un &longs;chioppettero in<emph.end type="italics"/><pb pagenum="31"/><emph type="italics"/>un &longs;egno propinquo è <expan abbr="s&etilde;pre">sempre</expan> &longs;uggetto à dar <expan abbr="alquãto">alquanto</expan> di &longs;otto dal &longs;egno, cioe piu ba&longs;&longs;o del <lb/>&longs;egno, & che tal ba&longs;&longs;ezza non puo eccedere la gro&longs;&longs;ezza d'un dedo, o poco piu, & lo <lb/>ho ui&longs;to molti, che con uno mede&longs;imo &longs;chioppo, in una non molto longa di&longs;tantia tir an<lb/>do de continuo à un &longs;egno hauer dato talhora molto di &longs;opra dal &longs;egno, & talhora mol <lb/>to di &longs;otto, & talhora molto co&longs;tero, & talhora nel proprio &longs;egno, e per tanto ue adi<lb/>mando la cau&longs;a di que&longs;to inconueniente, il quale me pare e&longs;&longs;er molto di&longs;cordante à tutte <lb/>le uostre ragioni adutte in tutte le uo&longs;tre argumentationi.<emph.end type="italics"/> N. B<emph type="italics"/>i&longs;ogna &longs;apere, che tut <lb/>ti gli errori occorrenti nel tirar de &longs;chioppo, alcuni ponno e&longs;&longs;er cau&longs;ati &longs;olamente dal<lb/>le mire, & alcuni altri &longs;olamente per difetto da colui che tira, & alcuni altri per difet<lb/>to dell'uno, & dell'altro, cioe & dalle mire, & da colui che tira. </s>

<s>Gli errori adunque, del <lb/>li quali nelle precedente no&longs;tre argumentationi hauemo parlato, &longs;ono quelli che &longs;ola<lb/>mente dalle mire ponno e&longs;&longs;er cau&longs;ati, non interponendoui alcuno minimo difetto de co<lb/>lui, che tira (come piu uolte alli &longs;uoi lochi è &longs;tato detto) perche gli errori che proce<lb/>deno &longs;implicemente dalle due mire hanno in &longs;e regola è mi&longs;ura, come alli &longs;uoi lochi è &longs;ta <lb/>to detto, ma quelli che &longs;implicemente procedeno per difetto di colui che tira, non hanno <lb/>in &longs;e alcun ordine, ouer regolarita, perche la maggior parte de tai errori, procedeno <lb/>per cau&longs;a de qualche <expan abbr="mouim&etilde;to">mouimento</expan>, che ha fatto con il &longs;chioppo colui che tira dapoi che ha <lb/>pre&longs;a la mira, ouer nel di&longs;cargar del &longs;chioppo, perche ogniminimo moto fatto in quel <lb/>lo i&longs;tante, che &longs;e di&longs;carga il detto &longs;chioppo puo cau&longs;ar grande errore al luoco, ouer al &longs;e <lb/>gno doue &longs;e tira de mira, & tanto piu quanto piu tal &longs;egno &longs;ara lontano, & perche tal <lb/>mouimento del &longs;chioppo (qual puo occorrere, per il menar del fiato, ouer per il batter <lb/>del pol&longs;o, ouer per tremar della mano) non ha in &longs;i regolarita alcuna e per tanto quan<lb/>do che il &longs;egno fu&longs;&longs;e ben preci&longs;amente nel ponto doue concorre la linea ui&longs;uale con il <lb/>uiaggio qual doueria far la balla (nel qual luoco alla ragion delle mire lui doueria dar <lb/>preci&longs;amente in brocca) nondimeno quel tale, mouendo il &longs;chioppo lui é &longs;oggetto à er<lb/>rare in tutti i uer&longs;i, cioe che eglie &longs;oggetto &longs;i à dar di&longs;opra, come di &longs;otto dal&longs;egno, & <lb/>co&longs;i anchora à dar co&longs;tero &longs;i dalla banda de&longs;tra, come dalla &longs;ini&longs;tra, uero è, che eglie <lb/>etiam &longs;oggetto à dar per &longs;orte in brocca, & tutti questi mede&longs;imi accidenti gli puo ac<lb/>ca&longs;are quando che il &longs;egno fu&longs;&longs;e di qua, ouer di la di tal concor&longs;o, uero è, che quando il <lb/>detto &longs;egno fu&longs;&longs;e di la da tal concor&longs;o, glierrori &longs;i cau&longs;ano maggiori (per la gran di<lb/>&longs;tantia) di quello fariano e&longs;&longs;endo di qua, per e&longs;&longs;er piu propinquo, perche in uero quan<lb/>to piu il &longs;egno è propinquo à colui, che tira, tanto piu ogni &longs;pecie di errore &longs;e &longs;minui&longs;&longs;e <lb/>in lui, e pero tanto piu &longs;e è &longs;oggetto à darui dentro, ouer à far piu bella botta, come &longs;i<gap/><lb/>detto nel precedente que&longs;ito; & à tutti que&longs;ti mede&longs;imi accidenti, anchora è &longs;oggetto <lb/>quando che nelle mire fu&longs;&longs;e qualche difetto, cioe che per il mouimento del detto &longs;chiop <lb/>po lui è &longs;oggetto à dare &longs;i di &longs;opra, come di &longs;otto del &longs;egno, & etiam co&longs;tero. </s>

<s>Anchora <lb/>eglie &longs;oggetto à dar preci&longs;amente in brocca, perche quel moto del &longs;chioppo potria per <lb/>&longs;orte e&longs;&longs;er tale che medicaria il difetto delle mire, & darla in brocca, uero è, che non &longs;a <lb/>riu per &longs;uo &longs;apere, ma&longs;olamente per &longs;orte.<emph.end type="italics"/> S. N<emph type="italics"/>on piu, che ue ho inte&longs;o benißimo, et <lb/>que&longs;ta uo&longs;tra argumentatione, me ha certamente da ogni mio &longs;cropolo&longs;o dubbio ret<lb/>camente chiarito.<emph.end type="italics"/></s>

<s>I<emph type="italics"/>l fine del Primo Libro.<emph.end type="italics"/></s><pb/>

<s>LIBRO SECVNDO DE LI <lb/>QVESITI ET INVENTION DIVERSE.</s>

<s>DE NICOLO TARTAGLIA, <lb/>S<emph type="italics"/>opra la differentia, che occorre nelli tiri, & effetti <lb/>fatti con balla de Piombo, ouer di Ferro, ouer <lb/>di Pietra, & altre uarie particola<lb/>rita, circa la proportione, <lb/>pe&longs;o, & mi&longs;ura delle <lb/>dette balle.<emph.end type="italics"/></s>

<s>QVESITO PRIMO FATTO DAL SIGNOR <lb/>G<emph type="italics"/>abriel Tadino Cauallier de Rodi, & Prior <lb/>di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. D<emph type="italics"/>apoi che non &longs;appiamo piu che dire, per al pre&longs;en<lb/>te &longs;opra le qualita di tiri, & altri accidenti delle Artegliarie, per <lb/>non &longs;tar otio&longs;i dapoi la lettione di Euclide, uoglio che parlamo al<lb/>quanto delle qualita, & accidenti delle diuer&longs;ita delle balle.<emph.end type="italics"/> E <emph type="italics"/>per <lb/>tanto, ditemi un poco, qual credeti che andara piu lontano, & quan <lb/>to una balla di piombo, ouer di ferro, tirate con una i&longs;te&longs;&longs;a arte<lb/>gliaria, & à una iste&longs;&longs;a elleuatione, & con egual quantita di polue<lb/>re.<emph.end type="italics"/> N. B<emph type="italics"/>i&longs;ogna che quella me dica, con quanta quantita di polue<lb/>re.<emph.end type="italics"/> P. P<emph type="italics"/>oniamo con li dui terzi di quello pe&longs;ara la balla di piombo.<emph.end type="italics"/> N. S<emph type="italics"/>enza dub <lb/>bio la balla di ferro andara piu lontano.<emph.end type="italics"/> P. Q<emph type="italics"/>uanto piu.<emph.end type="italics"/> N. N<emph type="italics"/>elli tiri baßi, cioe <lb/>con il pezzo aliuellato andara qua&longs;i un terzo de piu, ma alla elleuatione d'un ponto, an <lb/>dara alquanto meno d'un terzo piu, & quanto piu la &longs;e andara elleuando tanto piu an<lb/>dara &longs;cemando di tal proportione, talmente che tirandola alla elleuatione del quinto, <lb/>ouer &longs;e&longs;to ponto, tal balla de ferro andara piu lontano di quella di piombo &longs;olamente <lb/>poco piu d'un quinto, & accio che<emph.end type="italics"/> V.S. <emph type="italics"/>meglio me intenda, poniamo che la balla di <expan abbr="piõ">piom</expan> <lb/>bo, &longs;tando il pezzo aliuellato, uada di lontano pa&longs;&longs;a. </s>

<s>300. dico che la balla di ferro (ti<lb/>rata con quella mede&longs;ima quantita di poluere con che fu tir ata quella de piombo (cioe <lb/>con li dui terzi di quello pe&longs;a la detta balla di piombo) andara di lontano qua&longs;i pa&longs;&longs;a. <lb/>400. cioe qua&longs;i in &longs;e&longs;quitertia proportione, ma &longs;e tal balla de piombo alla elleuatione <lb/>del quinto, ouer &longs;esto ponto anda&longs;&longs;e di lontano poniamo pa&longs;&longs;a. </s>

<s>3000. dico che la balla <lb/>di ferro à tal elleuatione, con la mede&longs;ima poluere, andara di lontano poco piu di pa&longs;&longs;a. <lb/>3600. cioe poco piu che in &longs;equi quinta proportione.<emph.end type="italics"/> P. P<emph type="italics"/>erche ragione &longs;eguita tal <lb/>co&longs;a, cioe che co&longs;i nelli tiri elleuati, non eccede &longs;econdo la mede &longs;ima proportione che fa <lb/>nelli baßi.<emph.end type="italics"/> N. P<emph type="italics"/>erche lo aere fa maggior re&longs;istentia <expan abbr="proportionalm&etilde;te">proportionalmente</expan> al corpo men <lb/>graue, &longs;econdo la&longs;pecie, di quello fa al piu graue, & tanto piu <expan abbr="quãto">quanto</expan> piu la ritroua quel <lb/>lo men ueloce, ouer piu lento, e la&longs;&longs;o. </s>

<s>Et perche nelli tiri baßi, non pertran&longs;i&longs;&longs;e per aere <lb/>&longs;aluo che nella &longs;ua piu uigoro&longs;a uelocita, perche pre&longs;to ritroua la terra che ue impe-<emph.end type="italics"/><pb pagenum="32"/><emph type="italics"/>di&longs;&longs;e il moto, e pero non ui &longs;e moltiplica tanto la offen&longs;ione dell'aere, quanto che fanelli <lb/>tiri elleuati, perche in quelli pertran&longs;i&longs;&longs;e a&longs;&longs;ai piu tempo per l'aere, & maßime nella <lb/>&longs;ua laßitudine, nella qual laßitudine (come di &longs;opra dißi) lo aere ui ha proportional<lb/>mente maggior potesta, & dominatione di quello ha nelli tiri baßi, & per tanto la det <lb/>ta balla di ferro non eccede tanto la balla di piombo nelli tiri elleuati (proportional<lb/>mente) quanto fa nelli tiri baßi.<emph.end type="italics"/> P. V<emph type="italics"/>e ho inte&longs;o benißimo.<emph.end type="italics"/></s>

<s>QVESITO SECONDO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior <lb/>di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual credeti poi che andara piu lontano, o la detta balla di piom<lb/>bo, ouer di ferro, tirate pur con una i&longs;te&longs;&longs;a artegliaria, & à una i&longs;te&longs;&longs;a elleuatio <lb/>ne, ma cia&longs;caduna con la &longs;ua poluere ordinaria, cioe con li dui terzi di quello pe&longs;a cia<lb/>&longs;caduna balla per &longs;e.<emph.end type="italics"/> N. N<emph type="italics"/>elli tiri baßi, cioe aliuellati, ouer poco elleuati non ui &longs;ara <lb/>gran differentia, ma nelli tiri molto elleuati, come &longs;aria à dire alla elleuatione del terzo, <lb/>quarto, quinto, & &longs;esto ponto, la balla de piombo andara a&longs;&longs;ai piu lontano di quella di <lb/>ferro, & tutto questo procedera per le ragioni adutte nel precedente que&longs;ito.<emph.end type="italics"/> P. I<emph type="italics"/>o <lb/>haueua in animo di uolerui adimandare, quando che cadauna di dette balle fu&longs;&longs;e tirata <lb/>con li dui terzi poluere di quello pe&longs;a la balla di ferro, qual &longs;aria andata piu lontano, <lb/>ma per le ragion di &longs;opra adutte comprendo che la balla di ferro andaria piu lontano.<emph.end type="italics"/><lb/>N. C<emph type="italics"/>o&longs;i è.<emph.end type="italics"/></s>

<s>QVESITO TERZO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Priore <lb/>di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual credeti poi che andara piu lontano, & quanto una balla di fer<lb/>ro, ouer una di pietra pur tirate con una i&longs;te&longs;&longs;a artegliaria, & à una i&longs;te&longs;&longs;a elleua<lb/>tione, & con egual quantita di poluere, cioe con li dui terzi poluere di quello pe&longs;a la <lb/>balla di ferro.<emph.end type="italics"/> N. S<emph type="italics"/>enza alcun dubbio la ragion ne dimostra che nelli tiri baßi, et nel <lb/>la maggior parte delli elleuati, la balla di pietra andara piu lontano di quella di ferro.<emph.end type="italics"/><lb/>P. E<emph type="italics"/>t quanto andara piu lontano.<emph.end type="italics"/> N. N<emph type="italics"/>elli tiri baßi (poniamo dal &longs;ito della equali<lb/>ta, per fina alla elleuation de un &longs;ol ponto) la balla de pietra andara piu lontano, circa à <lb/>un quarlo piu di quello &longs;ara andata, ouer che andaria la balla di ferro, & inanti piu che <lb/>manco, ma poi nelli tiri piu elleuati, non cre&longs;&longs;aria tanto, & tanto meno quanto piu &longs;a<lb/>ranno elleuati, & talmente andara &longs;cemando che alla elleuatione del quarto ponto ui &longs;a <lb/>ra pochißima differentia, cioe che à tal elleuatione andara qua&longs;i tanto lontano la balla <lb/>di ferro quanto quella di pietra, ma alla elleuatione del quinto, & &longs;e&longs;to ponto la balla <lb/>di ferro andara poi alquanto piu lontano di quella di pietra, & tutto que&longs;to procede <lb/>per le ragioni adutte &longs;opra il primo que&longs;ito.<emph.end type="italics"/> P. C<emph type="italics"/>ertamente le &longs;ono co&longs;e belle da <lb/>con&longs;iderare.<emph.end type="italics"/></s><pb/>

<s>QVESITO QVARTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual credeti poi che andara anchora piu <expan abbr="lõtano">lontano</expan>, o la detta balla di <lb/>ferro, o quella di pietra, pur tirate <expan abbr="cõ">com</expan> una i&longs;te&longs;&longs;a artegliaria, et à una i&longs;te&longs;&longs;a elle <lb/>uatione, ma con la &longs;ua poluere ordinaria, cioe tirando la balla di ferro con li dui terzi, <lb/>poluere di quello pe&longs;a la balla, & quella di pietra con un terzo di quello pe&longs;a la mede&longs;i <lb/>ma balla di pietra.<emph.end type="italics"/> N. L<emph type="italics"/>a determination di que&longs;to non è molto facile per il uariar <lb/>della proportione del pe&longs;o di cadauna balla alla &longs;ua poluere, nondimeno conchiudo che <lb/>la balla di ferro andara piu lontano di quella di pietra in ogni elleuatione, uero è, che <lb/>quanto piu il tiro &longs;ara elleuato, tanto piu andara piu lontano la detta balla di ferro pro <lb/>portionalmente di quella di pietra, & econuer&longs;o, cioe che quanto piu il tiro &longs;e acco&longs;te<lb/>ra al &longs;ito della equalita, ui occorrera menor differentia<emph.end type="italics"/>. </s>

<s>P. C<emph type="italics"/>omprendo adunque che <lb/>quelli primi che determinorno che alla balla di pietra ui &longs;i doue&longs;&longs;e dar &longs;olamente il ter<lb/>zo poluere, di quello pe&longs;a la balla, il ferno, perche for&longs;i con con la &longs;perientia trouaro <lb/>quello che uoi diceti, cioe che &longs;e agguagliaua à quella di ferro.<emph.end type="italics"/></s>

<s>QVESITO QVINTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual teneti che fara maggior effetto, ouer pa&longs;&longs;ata (in una egual di <lb/>&longs;tantia) una balla di piombo, ouer di ferro tirate con una i&longs;te&longs;&longs;a artegliaria, & à <lb/>una i&longs;te&longs;&longs;a elleuatione, & prima con egual quantita di poluere, cioe con li dui terzi di <lb/>quello pe&longs;a la balla de piombo) & dapoi con la &longs;ua poluere ordinarìa.<emph.end type="italics"/> N. D<emph type="italics"/>i &longs;opra <lb/>nel primo que&longs;ito fu conchiu&longs;o che la balla di ferro in ogni elleuatione andara piu lon<lb/>tano di quella di piombo (e&longs;&longs;endo pero ambedue tirate con quella detta egual quantita <lb/>di poluere) e pero &longs;e la co&longs;a doue &longs;e tira fu&longs;&longs;e tanto lontano che la balla di piombo non <lb/>ui pote&longs;&longs;e arriuare, & che quella di ferro ui arriua&longs;&longs;e, cadauno &longs;apra far que&longs;to giudi<lb/>cio &longs;enza che io il dica, ma &longs;e la detta co&longs;a doue &longs;e tira&longs;ara in una di&longs;tantia conueniente <lb/>all uno, e l'altro tiro, & che la detta co&longs;a non &longs;ia di tal durezza che &longs;ia atta à &longs;mac care <lb/>la balla de piombo, &longs;enza dubbio la balla de piombo fara molto maggior effetto, ouer <lb/>pa&longs;&longs;ata di quello fara la balla di ferro, per cau&longs;a della &longs;ua maggior grauita, perche mol <lb/>to piu opera la grauita che la uelocita (come &longs;opra al. </s>

<s>16. que&longs;ito del primo anchor fu <lb/>detto) uero è, che quando la detta co&longs;a doue &longs;e tira fu&longs;&longs;e di tal durezza che fu&longs;&longs;e atta à <lb/>&longs;maccar la detta balla di piombo, ui&longs;aria da dubitare, che la balla di ferro doue&longs;&longs;e pene <lb/>trare alquanto piu di quella di piombo, uero è, che &longs;e ben la balla di piombo non pene<lb/>tra&longs;&longs;e tanto quanto quella di ferro, il non re&longs;tara ch'ella non conquaßimolto piu la det <lb/>ta co&longs;a perco&longs;&longs;a di quello fara la detta balla di ferro, per cau&longs;a della &longs;ua maggior gra<lb/>uita, & tutto que&longs;to che &longs;e detto di tai balle tirate, con la detta egual quantita di polue<lb/>re meglio &longs;e uerificara tir andole con la &longs;ua poluere ordinaria, cioe con li dui terzi di <lb/>quello chi pe&longs;a cadauna balla per &longs;e, cioe che nelle co&longs;e che non &longs;iano atte per &longs;ua durez <lb/>za à &longs;maccare la balla de piombo molto piu &longs;ara di maggior effetto, ouer pa&longs;&longs;ata la<emph.end type="italics"/><pb pagenum="33"/><emph type="italics"/>detta balla di piombo di quella di ferro, di quello era tirandole cadauna con la &longs;opra <lb/>detta equal quantita di poluere, & &longs;imelmente in quelle co&longs;e, che per la &longs;ua durezza <lb/>&longs;iano atte à &longs;maccar la balla de piombo, quantunque for&longs;i la balla di ferro potria eßer <lb/>che penetra&longs;&longs;e alquanto piu, nondimeno molto maggior botta, & <expan abbr="conqua&longs;&longs;am&etilde;to">conqua&longs;&longs;amento</expan> fara <lb/>la balla di piombo di quella di ferro.<emph.end type="italics"/> P. E<emph type="italics"/>glie co&longs;a, che a&longs;&longs;ai mi con&longs;ona.<emph.end type="italics"/></s>

<s>QVESITO SESTO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Priore di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. Q<emph type="italics"/>ual credeti poi che fara maggior effetto, ouer pa&longs;&longs;ata (in equal <lb/>di&longs;tantia) una balla di ferro, ouer di pietra, tir ate con una i&longs;te&longs;&longs;a artegliaria, & <lb/>a una i&longs;te&longs;&longs;a elleuatione, & prima con equal quantita di poluere, cioe con li dui terzi <lb/>di quello pe&longs;a la balla di ferro, & dapoi con la &longs;ua poluere ordinaria.<emph.end type="italics"/> N. I<emph type="italics"/>n que&longs;ta <lb/>non ui è alcun dubbio, che la balla di ferro fara molto maggior effetto, ouer pa&longs;&longs;ata, et <lb/>in ogni qualita di materia, di quello fara la balla di pietra, domente che la co&longs;a doue &longs;e <lb/>tira non fu&longs;&longs;e tanto lontana, che la balla di ferro non ui pote&longs;&longs;e arriuare, & che quel<lb/>la di pietra ui arriua&longs;&longs;e (come fu detto anchora&longs;opra la balla di piombo, & di ferro <lb/>nel precedente Que&longs;ito) & &longs;e adunque la balla di ferro fara maggior effetto, ouer pa&longs; <lb/>&longs;ata, della balla di pietra tirandole ambe due con quella equal quantita di poluere, mol <lb/>to maggior effetto, ouer pa&longs;&longs;ata fara la poi tirandole ambe due con la &longs;ua poluere ordi <lb/>naria, cioe la balla di ferro con li dui terzi di quello pe&longs;a la detta balla, & quella di pie <lb/>tra con un &longs;olterzo di quello pe&longs;a detta balla di pietra.<emph.end type="italics"/> P. I<emph type="italics"/>o ho &longs;empre tenuto, che <lb/>co&longs;i fu&longs;&longs;e, come uoi hauete detto, & determinato.<emph.end type="italics"/></s>

<s>QVESITO SETTIMO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. E<emph type="italics"/>&longs;&longs;endo io à Rhodi al tempo, che il Turco ui era à torno, & e&longs;&longs;en <lb/>do io andato in una certa parte della terra con molti gua&longs;tadori per far fare al <lb/>cuni ripari, accadete, che ne fu tirato da Turchi con una artegliaria, & la balla con el <lb/>&longs;uo ciffolare &longs;e fece &longs;entire tanto di lontano, che ogn uno hebbe a&longs;&longs;ai commodita di po <lb/>ter dar luoco alla detta balla, & &longs;chiuar&longs;i da quella, & co&longs;i ogn'un fece. </s>

<s>Et dapoi che <lb/>la detta balla hebbe fatto il &longs;uo effetto fru&longs;tatorio, ogniuno retornorno à lauorare &longs;icu <lb/>ramente confidando&longs;i, che &longs;e ben ue retirauano piu di &longs;aluar&longs;i &longs;empre al aui&longs;o della bal <lb/>a, cioe al&longs;uo ciffolare, hor accadete, che ue retirorno un'altra uolta, & la detta balla <lb/>uenne tanto quietamente, che alcun non la &longs;entete, &longs;aluo nel aggiongere, ouer nel far el <lb/>&longs;uo effetto, talmente che quella ucci&longs;e quattro gua&longs;tadori, hor ue adimando la cau&longs;a di <lb/>tal &longs;uo uenir co&longs;i tacito, & quieto, & maßime, che ue retirorno molte altre nolte, & <lb/>faceua el mede&longs;imo.<emph.end type="italics"/> N. L<emph type="italics"/>a cau&longs;a di tal effetto procede, per le ragioni adutte nel. </s>

<s>4. <lb/>Que&longs;ito del primo libro, cioe, perche la prima uolta, che ui fu tirato, tal balla ritrouo <lb/>lo aere quieto, per la qual quietitudine, fa maggior re&longs;i&longs;tentia al moto della balla di <lb/>quello faria e&longs;&longs;endo commo&longs;&longs;o, per la qual re&longs;i&longs;tentia &longs;e cau&longs;a quel&longs;uo &longs;i <expan abbr="grã">gram</expan> ciffolare,<emph.end type="italics"/><pb/><emph type="italics"/>cioe, che tal ciffolare, na&longs;&longs;e dalla gran difficulta, che ritroua la detta balla in penetrar <lb/>tal aere ripo&longs;ante, e quieto: ma perche alla <expan abbr="&longs;ecõda">&longs;econda</expan> uolta tal balla, non &longs;olamente la ritro <lb/>uo tal aere tutto commo&longs;&longs;o, rotto, & conqua&longs;&longs;ato, dalla prima balla tirata, ma ancho<lb/>ra molto tendente, ouer &longs;corrente uer&longs;o al luoco doue &longs;e tira, cioe &longs;econdando el moto <lb/>della detta halla, per le qual co&longs;e la detta balla, per non ritrouar quell'ostacolo alla &longs;e <lb/>conda uolta, ch<gap/> fece alla prima, la non ciffolaua co&longs;i forte, come fece alla prima uolta, <lb/>& per le mede&longs;ime ragioni molto meno doueua ciffolare nelli altri tiri, e&longs;&longs;endo pero ti <lb/>rati con&longs;equentemente.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;ta uo&longs;tra ragione mi con&longs;ona a&longs;&longs;ai.<emph.end type="italics"/></s>

<s>QVESITO OTTAVO FATTO DAL <lb/>M<emph type="italics"/>agnifico<emph.end type="italics"/> M. B<emph type="italics"/>ernardo Segreo.<emph.end type="italics"/></s>

<s>MAGN. M. BERNARDO Q<emph type="italics"/>ual credeti che andara piu <expan abbr="lõtano">lontano</expan>, una balla <lb/>graue, ò una leggiera, <expan abbr="tirãdo">tirando</expan> l'una e laltra <expan abbr="cõ">com</expan> una i&longs;te&longs;&longs;a artegliaria, et à una i&longs;te&longs; <lb/>&longs;a elleuatione, & con equal quantita di poluere.<emph.end type="italics"/> N. </s>

<s>A <emph type="italics"/>que&longs;to non ui &longs;i puo dare de<lb/>terminata re&longs;po&longs;ta, che non di&longs;tingue la differentia della lor grauita, & la quantita de <lb/>la poluere, perche, & la grauita della co&longs;a, & la leuita &longs;e é uista fru&longs;tare la uirtu del <lb/>mouente, perche la co&longs;a tirata puo e&longs;&longs;er di tal leuita, che à pena, ouer poco lontano dal <lb/>la bocca del pezzo &longs;ara &longs;penta, ouer tirata, & &longs;imelmente potria eßer di tanta gran <lb/>grauita (ri&longs;petto alla poca quantita della poluere) che &longs;eguitaria el mede&longs;imo inconue <lb/>niente, e pero eglie neceßario à di&longs;tinguere la differentia della lor grauita, etiam di <lb/>che materia &longs;ia cadauna balla, etiam la quantita della poluere, perche &longs;e l'una fu&longs;&longs;e de <lb/>piombo, & l'altra di ferro, ouer di pietra, & tirandole con i dui terzi di poluerè di <lb/>quello pe&longs;a la balla de piombo, eglie co&longs;a chiara (per le ragioni adutte di &longs;opra nel pri<lb/>mo, & terzo Que&longs;ito) che la balla di ferro, ouer di pietra andara piu lontano di quel <lb/>la di piombo, ma &longs;e l'una de dette balle fu&longs;&longs;e di piombo, ouer di ferro, et l'altra di legno <lb/>leggiero, ouer di quel &longs;uore, che &longs;i mette nelli &longs;ubri, ouer zocoli delle donne, eglie da <lb/>credere che la balla graue, cioe quella di piombo, ouer di ferro (tirata con la &longs;ua pol<lb/>uere or dinaria) andara molto piulontano, della balla leue (cioe di quella balla di le<lb/>gno leggiero, ouer di&longs;uore) tirate anchor quelle con la mede&longs;ima quantita di polue<lb/>re. </s>

<s>Ma uoltando carta, che uole&longs;&longs;e tirare una balla de piombo da lire cento con un ca<lb/>non da cento, & &longs;imelmente una balla di legno di quella mede&longs;ima grandezza, ouer <lb/>gro&longs;&longs;ezza, che é quella di piombo, ma tirare l'una, e l'altra &longs;olamente con una lira, <lb/>ouer due di poluere, eglie da credere in que&longs;to ca&longs;o, che la balla di legno andara piu <expan abbr="lõ">lom</expan> <lb/>tano di quella di piombo, la qual co&longs;a ne auerti&longs;&longs;e qualmente eglie nece&longs;&longs;ario, che tra <lb/>la grauita della co&longs;a tirata, & la uirtu della co&longs;a mouente (ouer che &longs;penge) ui ca&longs;ca <lb/>una &longs;ua limitata proportione.<emph.end type="italics"/> M. B. Q<emph type="italics"/>ue&longs;to uo&longs;tro di&longs;cor&longs;o non me di&longs;piace, & <lb/>&longs;appiati, che una uolta mi uol&longs;i chiarire di que&longs;to dubbio, & feci far una balla, pur di <lb/>mettallo, ma bu&longs;a, cioe uacua di dentro, & la feci tirare, & quella ando a&longs;&longs;ai meno del <lb/>la balla or dinaria di ferro.<emph.end type="italics"/></s><pb pagenum="34"/>

<s>QVESITO NONO FATTO DAL MAGNIFICO <lb/>S<emph type="italics"/>ignor Giulio Sauorgnano.<emph.end type="italics"/></s>

<s>SIGNOR GIVLIO E<emph type="italics"/>glie una balla, che per diametro è onze quatro di mi <lb/>&longs;ura, & pe&longs;a lire otto, hor ue adimando quanto pe&longs;aria unaltra, che fu&longs;&longs;e per dia <lb/>metro onze.<emph.end type="italics"/> 6. N. L<emph type="italics"/>a pe&longs;aria lire.<emph.end type="italics"/> 27. S. G. C<emph type="italics"/>ome è poßibile, che una balla, che <lb/>&longs;ia per diametro onze. </s>

<s>6. de mi&longs;ura (che &longs;aria mezzo pie) non pe&longs;i piu de lire. </s>

<s>27. an <lb/>zi tengo, che debbia pe&longs;are piu de lire.<emph.end type="italics"/> 60. N. E<emph type="italics"/>glie il uero, che &longs;e tal balla fu&longs;&longs;e di <lb/>ferro, et che per diametro la fu&longs;&longs;e onze. </s>

<s>6. de mi&longs;ura ordinaria (che &longs;aria me<emph.end type="italics"/>zz<emph type="italics"/>o pie) <lb/>&longs;enza dubbio tengo, che pe&longs;aria circa à dette lire.<emph.end type="italics"/> 60. S. G. P<emph type="italics"/>erche diceti adunque <lb/>che la pe&longs;ara &longs;olamente lire.<emph.end type="italics"/> 27. N. I<emph type="italics"/>o dico, che la pe&longs;ara lire. </s>

<s>27. stante, che quella <lb/>che è di diametro onze quattro pe&longs;i &longs;olamente lire otto: ma&longs;e tal balla fu&longs;&longs;e de &longs;erro, <lb/>& che de diametro la fu&longs;&longs;e (come è detto) onze quattro de mi&longs;ura ordmaria (cioe un <lb/>terzo dun pie) la pe&longs;aria piu de lire. </s>

<s>18. uel circa, e pero io ho ri&longs;posto &longs;econdo la pro <lb/>po&longs;ta.<emph.end type="italics"/> S. G. E<emph type="italics"/>t come haueti trouato quelle lire.<emph.end type="italics"/> 27. N. I<emph type="italics"/>o le ho ritrouate in que<lb/>&longs;to modo, io ho cubato quelle onze. </s>

<s>4. (diametro della prima balla) el cubo delle quale <lb/>è. </s>

<s>64. & <expan abbr="&longs;imelm&etilde;te">&longs;imelmente</expan> ho cubato quelle. </s>

<s>6. onze (diametro della <expan abbr="&longs;ecõda">&longs;econda</expan> balla) el cubo del <lb/>le quale è. </s>

<s>216. et dapoi per la regola del tre, dico: &longs;e. </s>

<s>64. pe&longs;a lire. </s>

<s>8. che pe&longs;ara. </s>

<s>216. <lb/>multiplico, & parto &longs;econdo l'ordine di tal regula, & mene uenuto le dette lire. </s>

<s>27. e <lb/>pero ho conclu&longs;o, che la detta &longs;econda balla pe&longs;aria lire. </s>

<s>27. &longs;tante che la prima pe&longs;a&longs;<lb/>&longs;e &longs;olamente lire.<emph.end type="italics"/> 8. S. G. V<emph type="italics"/>eho inte&longs;o benißimo.<emph.end type="italics"/></s>

<s>QVESITO DECIMO FATTO DA M. ZANAN<lb/><emph type="italics"/>tonio di Ru&longs;coni Pittor, & Architettor.<emph.end type="italics"/></s>

<s>ZANANTONIO E<emph type="italics"/>glie una balla, che per diametro è. </s>

<s>5. deda ui <lb/>adimando <lb/>come faro io aritrouare quanto che &longs;ia el diametro duna altra balla che &longs;ia dop<lb/>pia à questa.<emph.end type="italics"/> N. V<emph type="italics"/>oi doueti cubar quelli cinque deda de diametro, el qual cubo &longs;ara <lb/>125. & questo. </s>

<s>125. uoi lo adoppiareti, fara. </s>

<s>250. & la radice cuba di que&longs;to. </s>

<s>250. &longs;a<lb/>ra el diametro di quella <expan abbr="&longs;ecõda">&longs;econda</expan> balla (doppia alla prima) la qual radice cuba de 250. <lb/>cauandola per el modo, che ui ho mo&longs;trato uoi trouareti, che la &longs;ara alquanto piu de <lb/>&longs;ei deda, cioe ui auanzara. </s>

<s>34. rotti.<emph.end type="italics"/> Z. C<emph type="italics"/>ome mi debbio gouernare con quello. </s>

<s>34. <lb/>che mi auanza per formar il conueniente rotto da accompagnar con quelli &longs;ei deda.<emph.end type="italics"/><lb/>N. L<emph type="italics"/>a bona regola di formar el rotto di quel re&longs;iduo, che auanza nella e&longs;tratione <lb/>della radice cuba (nelli numeri non cnbi) per fin à que&longs;ta hora maiho ritrouato in al<lb/>cun Autore, che di tal materia habbia trattato, che l'habbia rettamente inte&longs;a, & que <lb/>&longs;to procede (&longs;e non me inganno) perche el retto modo da cauar la detta radice cuba, <lb/>dalla maggior parte è ignorato, <expan abbr="nõ">non</expan> dico ignorato, che quelli tali <expan abbr="nõ">non</expan> la &longs;appiano caua <lb/>re, ouer che le regole da lor po&longs;te, non &longs;eruino per cauarla, ma uoglio dire, che tai <lb/>&longs;ue regole non procedeno per la uera, & retta uia naturale, perche &longs;e que&longs;ti tali proce <lb/>de&longs;&longs;eno per la &longs;ua rettauia nel cauar la detta radice cuba, & che intendeßino po<gap/>la <lb/>cau&longs;a di tal &longs;uo operare, facile ui &longs;aria ad aßignare con ragione la uera regola da<emph.end type="italics"/><pb/><emph type="italics"/>&longs;ormar el &longs;uo rotto, nelli re&longs;idui restanti nel &longs;uo operare.<emph.end type="italics"/> Z. L<emph type="italics"/>a retta uia da cauare <lb/>la detta radice cuba, non eglie quella, che uoime baueti mo&longs;trata.<emph.end type="italics"/> N. Q<emph type="italics"/>uella pro<lb/>pria.<emph.end type="italics"/> Z. D<emph type="italics"/>apoi che uoi me haueti mo&longs;trata tal regola, uoi me mo&longs;trareti pur ancho <lb/>ra el modo da formar rettamente el detto rotto.<emph.end type="italics"/> N. P<emph type="italics"/>er al pre&longs;ente uoi hareti pa<lb/>tientia, ma ben ui prometto, che in breue con alcune altre co&longs;e in&longs;ieme ue le faro uede<lb/>re à uoi, et alli altri.<emph.end type="italics"/> Z. N<emph type="italics"/>on potendo far altro haro patientia per fin a quel <expan abbr="t&etilde;po">tempo</expan>.<emph.end type="italics"/></s>

<s>QVESITO VNDECIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> M. Z<emph type="italics"/>anantonio di Ru&longs;coni.<emph.end type="italics"/></s>

<s>ZANANTONIO. C<emph type="italics"/>on che regola, ouer uia determina adunque Vetruuio <lb/>la proportione delle pietre, che &longs;e hanno da mettere al forame della Balista.<emph.end type="italics"/> N. <lb/>A<emph type="italics"/>de&longs;&longs;o me aricordo, che la ragione, che uoi me adimanda&longs;ti nel precedente Que&longs;ito é <lb/>proprio quella mede&longs;ima, che pone il detto Vittruuio al. </s>

<s>17. capitulo del &longs;uo decimo li<lb/>bro, nel qual luoco lui conclude, che &longs;el&longs;a&longs;&longs;o qual debbe tirare la bali&longs;ta &longs;ara dui pe&longs;i, <lb/>cioè de due libre) che el forame del &longs;uo capitello &longs;ara de. </s>

<s>5. digiti, ouer dedi, e che &longs;e tal <lb/>&longs;a&longs;&longs;o &longs;ara de. </s>

<s>4. libre, dice chel detto forame &longs;ia fatto de. </s>

<s>6. digiti, ouer dedi, la qual de <lb/>terminatione é &longs;imile alla no&longs;tra fatta nel precedente Que&longs;ito re&longs;petto al numero &longs;a<lb/>no, cioe al &longs;e&longs;to, ma non al rotto, perche quello. </s>

<s>34. che in tal luoco ne auanzo ne <expan abbr="ri&longs;põ">ri&longs;pom</expan> <lb/>de a&longs;&longs;ai piu dun quarto de digito, cioe, che tal forame doueria e&longs;&longs;er alquanto piu de di<lb/>giti. </s>

<s>6. <gap/> un quarto.<emph.end type="italics"/> Z. P<emph type="italics"/>otria e&longs;&longs;er, che il fu&longs;&longs;e &longs;tato mal tradutto.<emph.end type="italics"/> N. E<emph type="italics"/>l mede&longs;i<lb/>mo &longs;i trouanel Latino.<emph.end type="italics"/> Z. V<emph type="italics"/>edeti mo, &longs;e nelle altre &longs;ue determinationi, che &longs;eguitano <lb/>in tal luoco, &longs;ono giu&longs;tamente <expan abbr="cõclu&longs;e">conclu&longs;e</expan>.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio ui è qualche errore, ma piu <lb/>in una, che nell'altra, & credo tutto que&longs;to proceda per ignorare quella regola da noi <lb/>ritrouata (detta nel precedente Que&longs;ito) di &longs;apere formare el &longs;uo conueniente rotto <lb/>di quel re&longs;iduo, che auanza nelle e&longs;trationi delle radice cube, nelli numeri non cubi, & <lb/>che el &longs;ia eluero, lui conclude, che &longs;el&longs;a&longs;&longs;o, che &longs;e ha da tirare &longs;ara de. </s>

<s>7. libre, che el fo <lb/>rame del capitello de detta bali&longs;ta &longs;i debbia far de digiti. </s>

<s>7. & per el rotto, che debbe <lb/>e&longs;&longs;er de piu de detti digiti. </s>

<s>7. lui mette noue ponti in forma qua&longs;i circulare.<emph.end type="italics"/> Z. C<emph type="italics"/>he <lb/>&longs;a, che quelli. </s>

<s>9. ponti non &longs;ignificano el conueniente rotto, ouer parte de digiti, che uol <lb/>e&longs;&longs;er el detto forame de piu delli detti. </s>

<s>7. digiti, quantunque che noi non intendamo el <lb/>&longs;igni&longs;icato de detti noue ponti, per e&longs;&longs;er co&longs;a antiqua.<emph.end type="italics"/> N. Q<emph type="italics"/>uando co&longs;i fu&longs;&longs;e nece&longs;<lb/>&longs;ariamente &longs;eguitaria, che in qualunque luoco doue &longs;ono po&longs;ti quelli tali noue ponti, ui <lb/>repre&longs;enta&longs;&longs;ono uno mede&longs;imo rotto, la qual co&longs;a non è uera, perche nelli detti luochi <lb/>ui occorre rottimolto diuer&longs;i in quantita, e&longs;&longs;empi gratia, al detto &longs;a&longs;&longs;o de &longs;eilibre, el <lb/>detto forame uora e&longs;&longs;er de. </s>

<s>7. digiti, & circa a uno ottauo de digito, cioe uol e&longs;&longs;er al<lb/>quanto &longs;car&longs;o de. </s>

<s>7. digiti, & uno ottauo de digito. </s>

<s>Et per tanto quellinoue ponti, in <lb/>tal luoco ueneriano a &longs;ignificare alquanto manco de uno ottauo de digito. </s>

<s>Et nel &longs;a&longs;&longs;o <lb/>de diece libre lui conclude, che el detto forame uora e&longs;&longs;er de. </s>

<s>8. digiti, & piu el &longs;ignifi<lb/>cato de detti noue ponti, & noi procedendo per l'ordine dato nel precedente Que&longs;ito, <lb/>ritrouamo che el detto &longs;a&longs;&longs;o de diece libre, uora di forame alquanto piu de digiti otto e <lb/>mezzo, per il che &longs;eguitaria, che li detti noue ponti nel detto luoco &longs;ignifica&longs;&longs;ono al-<emph.end type="italics"/><pb pagenum="35"/><emph type="italics"/>quanto piu d'un mezz digito, & gia di &longs;opra trouaßimo, che &longs;ignificauano manco d'un <lb/>ottauo de digito, la qual co&longs;a ne manife&longs;ta qualmente li detti nuoue ponti non hanno al<lb/>cuna regolata &longs;ignificatione, & &longs;imilmente ne aduerti&longs;&longs;e qualmente Vitruuio non haue <lb/>uaregola di &longs;apere formare rettamente il rotto di quel re&longs;iduo che &longs;oprauanza nelle <lb/>e&longs;trattioni delle radice, cube, nelli numeri non cubici (che di &longs;opra nel precedente que<lb/>&longs;ito diceßimo hauer ritrouata) la qual diceßimo anchora e&longs;&longs;er &longs;tata ignorata da quanti <lb/>Autori habbiamo letto, che di tal materia habbiam trattato.<emph.end type="italics"/> Z. N<emph type="italics"/>on po&longs;&longs;o credere, <lb/>che Vitruuio ignora&longs;&longs;e tal co&longs;a, ma la cau&longs;a debbe e&longs;&longs;er proce&longs;&longs;a dalli traduttori.<emph.end type="italics"/> N. <lb/>I<emph type="italics"/>l mede&longs;imo è nelli antichißimi in lingua Latina, ma piu che nel &longs;a&longs;&longs;o de. </s>

<s>20. libre, lui <lb/>determina che il detto forame uorra e&longs;&longs;er de digiti diece, & piu il &longs;ignificato di detti <lb/>nuoue ponti, & noi ritrouamo, che tal forame uorra e&longs;&longs;er de digiti diece, & piu de tre <lb/>quarti d'un' altro digito, onde in que&longs;to luoco li detti nuoue ponti ueneriano à &longs;ignifi<lb/>care piu de tre quarti d'un digito, & co&longs;i ua procedendo, & errando qua&longs;i in tutte le <lb/>altre &longs;ue determinationi che &longs;eguitano.<emph.end type="italics"/> Z. M<emph type="italics"/>e &longs;tupi&longs;co che tal huomo habbia erra<lb/>to in &longs;imil ca&longs;o.<emph.end type="italics"/></s>

<s>QVESITO DVODECIMO FATTO DAL <lb/>S<emph type="italics"/>ignor lacomo di Achaia, Con una &longs;ua lettera <lb/>mandata da Lezze.<emph.end type="italics"/></s>

<s>SIGNOR IACOMO. I<emph type="italics"/>o ui prego di gratia, che per il lattor della pre&longs;ente, <lb/>me uogliati mandar in di&longs;&longs;egno quanto &longs;ia, ouer debbia e&longs;&longs;ere il diametro di una <lb/>palla di uno rotulo à pe&longs;o, & co&longs;i quello di una, di dui rotuli, & &longs;imilmente datre, da <lb/>quattro, da cinque, da &longs;ei, & co&longs;i procedendo per fina à quella maggior quantita de <lb/>rotuli, che à uoi parera.<emph.end type="italics"/> N. </s>

<s>A <emph type="italics"/>douer &longs;atisfare alla dimanda di uostra Signoria, eglie <lb/>nece&longs;&longs;ario che quella me dia notitia del diametro, & del pe&longs;o di una balla con &longs;omma di <lb/>ligentia mi&longs;urata, & pe&longs;ata, cioe ueder di trouare una balla, & quanto piu è gro&longs;&longs;a tan <lb/>to è meglio, & quella pe&longs;arla &longs;ottilmente, come &longs;e fu&longs;&longs;e di argento, & dapoi trouar dil<gap/><lb/>gentemente quanto è per diametro, cioe quanto è per linea, & dapoi mandarme in di&longs;<lb/>&longs;egno la longhezza di tal diametro, etiam la quantita del pe&longs;o di tal balla, & darmi an <lb/>chor notitia, ouer in&longs;ormatione che pe&longs;o &longs;ia un rotulo, & come &longs;e diuide, cioe quante li <lb/>re, ouer onze &longs;ia, perche tal &longs;orte de pe&longs;o non &longs;e co&longs;tuma in que&longs;te bande, & facendo <lb/>questo &longs;atisfaro alla petitione, ouer que&longs;ito de uo&longs;tra Signoria.<emph.end type="italics"/> S.I. M. N<emph type="italics"/>icolo cari&longs;<lb/>&longs;imo ho riceuuta la uo&longs;tra, & inte&longs;o il tutto, e per tanto ui aui&longs;o qualmente la &longs;otto&longs;crit <lb/>ta linea è il diametro di una balla di ferro, qual pe&longs;a preci&longs;amente. </s>

<s>9. rotuli, & &longs;appiati <lb/>che un rotulo è un certo pe&longs;o che &longs;i u&longs;a qua in Lezze, il qual rotulo è onze. </s>

<s>100. &longs;ono tre rotuli.<emph.end type="italics"/> N. S<emph type="italics"/>ignor Iacomo honor andißimo ho r<gap/><lb/>ceuuta la uostra in&longs;ieme con il diametro di una balla de rotuli. </s>

<s>9. con il qual diametro <lb/>ue ho ritrouato il diametro delle &longs;otto&longs;critte, & piu ue ne haria ritrouato, ma mi ho <lb/>pen&longs;ato, che que&longs;ti debbano e&longs;&longs;er à &longs;ufficientia, per quello de&longs;idera uo&longs;tra Signoria, & <lb/>per piu commune &longs;atisfattione ho uoluto tirar tal pe&longs;o de rotuli al pe&longs;o de queste ban<lb/>de, cioe à onze. </s>

<s>33. e un terzo per rotulo, & perche alcuni diametri ueniuano tanto lon <pb/>ghi che non poteuduo capire nel foglio, ui ho notato &longs;olamente la mitade di tal diame<lb/>tro, come quella potra uedere, & &longs;e il diametro, che quella me ha mandato è giu&longs;to, an<lb/>chora questida me geometricamente ritrouati, &longs;ar anno giu&longs;ti, & &longs;e quella hauera <expan abbr="cõ-me&longs;&longs;o">con<lb/>me&longs;&longs;o</expan> alcuno errore, nel detto diametro à me mandato, anchor li miei non &longs;aranno &longs;en-<emph.end type="italics"/><lb/><figure id="fig6"></figure><pb pagenum="36"/><emph type="italics"/>zamenda, &longs;imilmente &longs;e il uo&longs;tro rotulo è giu&longs;tamente onze. </s>

<s>33. e un terzo, & le lire <lb/>da me determinate &longs;opra detti diametri &longs;tar anno bene à ragion de onze. </s>

<s>12. per lira, <lb/>& &longs;i taluo&longs;tre onze &longs;aranno eguale alle no&longs;tre onze qua da Venetia, anchora le dette <lb/>balle &longs;e uerificaranno al no&longs;tro pe&longs;o da Venetia, altr amente non.<emph.end type="italics"/></s><figure></figure><pb/>

<s>VERO <emph type="italics"/>è, che tutte le balle gettate in una mede&longs;ima forma non <lb/>&longs;aranno pre<lb/>ci&longs;amente d'un mede&longs;imo pe&longs;o, perche in una il metallo ui &longs;e congella alle uol<lb/>te piu fi&longs;&longs;o, ouer piu poro&longs;o che nell'altra per molte cau&longs;e le quale non uoglio al pre<lb/>&longs;ente &longs;tar à narrarle, ma &longs;olamente me appar&longs;o de aduertirui, accio che &longs;e la nostra de<lb/>terminatione, non ui ri&longs;ponde&longs;&longs;e co&longs;i preci&longs;amente, come habbiamo determinato, che <lb/>quella non &longs;e ne debbia &longs;candalizzare, perche tutte le co&longs;e operate in materia, mai pon <lb/>no e&longs;&longs;er fatte co&longs;iuere è preci&longs;e, che &longs;empre le <expan abbr="nõ">non</expan> poßano e&longs;&longs;ere piu uere, et piu preci&longs;e.<emph.end type="italics"/></s>

<s>ANCHORA V<emph type="italics"/>ostra Signoria aduerti&longs;ca, che &longs;e il detto diametro <lb/>à me man<lb/>dato fu di una balla di ferro (come me haueti &longs;critto) tutti li no&longs;tri &longs;e debbono <lb/>intendere &longs;olamente &longs;opra balle di ferro, & non di piombo, ma uolendoli etiam adat<lb/>tare alle balle di piombo, bi&longs;ogna augumentarui il &longs;uo pe&longs;o per la &longs;ua mita, cioe &longs;elo <lb/>detto diametro è di balla di ferro, & che quella pe&longs;i, come detto rotuli.<emph.end type="italics"/> 9 (<emph type="italics"/>ouer lire.<emph.end type="italics"/><lb/>25.) <emph type="italics"/>dico che un'altra di piombo gettata in quella mede&longs;ima forma pe&longs;ara, circa à un <lb/>tanto è me<emph.end type="italics"/>zz<emph type="italics"/>o, cioe rotuli. </s>

<s>13. e mezzo, ouer lire. </s>

<s>37. e mezza, perche il piom<lb/>bo, al ferro in grauita &longs;ta qua&longs;i in &longs;e&longs;quialtera proportione, & co&longs;i &longs;i debbe intendere <lb/>in tutti glialtri. </s>

<s>Et che ne uole&longs;&longs;e farne far de pietra commune &longs;opra la mi&longs;ura di alcu<lb/>no di detti diametri, tal balla pe&longs;ara circa la quarta parte di quello pe&longs;aria quella de <lb/>piombo, cioe che la proportione della pietra marmorina al piombo in pondero&longs;ita é <lb/>qua&longs;i &longs;ubquadrupla, & con il ferro è qua&longs;i come da. </s>

<s>38. per la qual notitia &longs;e po<lb/>tra trouar la grauita di qual &longs;iuoglia balla, &longs;opra qual &longs;i uoglia diametro aßignato, & <lb/>accio che meglio quella lo po&longs;&longs;a tener in memoria qua di &longs;otto ui ho notata la detta lor <lb/>proportione di&longs;tintamente.<emph.end type="italics"/></s>

<s>I<emph type="italics"/>l piombo al ferro è qua&longs;i come. </s>

<s>19. cioe qua&longs;i &longs;e&longs;quialtera.<emph.end type="italics"/></s>

<s>I<emph type="italics"/>l piombo al pietra marmorina è qua&longs;i come. </s>

<s>I<emph type="italics"/>l ferro alla pietra è qua&longs;i come. </s>

<s>I<emph type="italics"/>l fine del Secondo Libro.<emph.end type="italics"/></s><pb pagenum="37"/>

<s>LIBRO TERZO DELLI <lb/>QVESITI ET INVENTIONI DIVERSE, <lb/>DE NICOLO TARTAGLIA.</s>

<s>S<emph type="italics"/>opra del Salnitrio, & delle uarie compo&longs;itioni della poluere delle arte<lb/>gliarie, & della proprietà, ouer particular officio, che ha <lb/>cadauno di &longs;uoi tre materiali in tal compo&longs;itione, <lb/>& altre particolarita.<emph.end type="italics"/></s>

<s>QVESITO PRIMO FATTO DAL SIGNOR <lb/>G<emph type="italics"/>abriel Tadino Priore di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. N<emph type="italics"/>on é da mar auigliar&longs;i, che gli autiqui non haue&longs;&longs;ero <lb/>notitia del &longs;alnitrio, qual à noi moderni è fatto tanto famigliare.<emph.end type="italics"/><lb/>N. A<emph type="italics"/>nzi la notitia di tal &longs;implice è antiquißima, perche el &longs;i uede <lb/>tutti li antiqui Phy&longs;ici, ouer naturali farne mentione, uero è che al <lb/>cuni (& maßime Auicenna) l'hanno chiamata, Baurach, perche co <lb/>&longs;i in lingua Arabica è nominato, & alcuni altri gli dicono, Afro<lb/>nitrum, perche da Greci co&longs;i è detto, & altri poi (& maßime Sera <lb/>pione, Dia&longs;coride, & Plinio) lo chiamano Nitro, ouer &longs;puma ni<lb/>tri, perche in lingua Latina co&longs;i è nominato, & nelle Pandete &longs;e affermale &longs;pecie del <lb/>nitro, ouer &longs;alnitri, e&longs;&longs;er due, cioe minerale, & artificiale, & del minerale, dicono e&longs;<lb/>&longs;eruen di. </s>

<s>4. &longs;orte, cioe Armeno, Affricano, Romano, & Egyptio. </s>

<s>Et Serapione dice, <lb/>che le minere del &longs;alnitrio, &longs;ono come le minere de &longs;ali, perche di quello &longs;e ne troua, che <lb/>&longs;ono acque &longs;corrente, le quale acque &longs;e congellano, et &longs;i conden&longs;ano qua&longs;i, come pietra, <lb/>& que&longs;to mede&longs;imo afferma Plinio, & &longs;e ne troua anchora, che nella &longs;ua minera è co<lb/>me pietra, & chiama&longs;i &longs;al petro&longs;o, anchor dice, che di que&longs;to &longs;alnitrio &longs;e ne troua de <lb/>bianco, de ro&longs;&longs;o, & de molti colori, & per tanto a&longs;&longs;erma le &longs;pecie di quello e&longs;&longs;er molte, <lb/>non &longs;olamente per la diuer&longs;ita del colore, ma perche ui &longs;e ne troua prima una &longs;pecie, <lb/>che è molto &longs;pongo&longs;o, cioe pieno de forami, & un'altra poi che uiene in lamine frangi <lb/>bìle, & de molte altre qualita, che longo &longs;aria à starle à narrare à una per una: delle <lb/>quale una è piu mordente, & potente dell'altra, del Artificiale poi non accade à par<lb/>larne, per e&longs;&longs;er à que&longs;ti tempi piu cognito, che la herba Betonica.<emph.end type="italics"/> P. C<emph type="italics"/>erto credeua <lb/>che la notitia &longs;ua fu&longs;&longs;e moderna.<emph.end type="italics"/></s>

<s>QVESITO SECONDO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. D<emph type="italics"/>itime un poco, &longs;e gli antiqui bebbero cognitione del &longs;alnitrio &longs;i <lb/>del naturale, come del artificiale (come di &longs;opra haueti approuato) per autori<lb/>ta de antiqui Phy&longs;ici, hebbero poi notitia che quello arde&longs;&longs;e abbru&longs;a&longs;&longs;e co&longs;i uigoro&longs;a<lb/>mente come fa.<emph.end type="italics"/> N. C<emph type="italics"/>ertamente li&longs;opradetti antiqui naturali non fanuo mentione,<emph.end type="italics"/><pb/><emph type="italics"/>&longs;aluo di quelle proprietà, che in lui&longs;e ritruoua, alla medicina nece&longs;&longs;arie, & non d'al<lb/>tro: ma molti altri antiqui autori, ne fanno certißimi, che lor &longs;eppero, che abbru&longs;aua, <lb/>perche loro &longs;e ne &longs;eruiuano nelle compo&longs;itioni de alcuni fuochi, per abbru&longs;are le te&longs;tu <lb/>dine, ouer ariete, & le ellepoli, & altre torre portatile, che nelle i&longs;pugnationi delle cit <lb/>ta à quel tempo &longs;i u&longs;aua: Et &longs;imilmente per abbru&longs;are le armate nauale, uero e che in <lb/>tai compo&longs;itioni alcuni el chiamano &longs;al ardente, altri el chiamano &longs;al petro&longs;o, altri el <lb/>chiamano &longs;al praticha, & altri el chiamano proprio, &longs;alnitrio.<emph.end type="italics"/> P. C<emph type="italics"/>irca di que&longs;io ui <lb/>ho da adimandarui un'altro dubbio: ma perche el mi dole alquanto la te&longs;ta, lo uoglio re <lb/>mettere à doman de &longs;era.<emph.end type="italics"/></s>

<s>QVESITO TERZO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. S<emph type="italics"/>e gli antiqui hebbero cognitione, chel &longs;alnitrio bru&longs;aua, & arde<lb/>ua con quella uigoro&longs;ita che fa, perche non &longs;eppero far la poluere delle arte<lb/>gliarie di tanta importanza nell'arte militare, come noi moderni.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;ta con<lb/>&longs;e que ntia non è bona, à dire, che &longs;e li antiqui hebbero notitia del &longs;alnitrio, & che &longs;a<lb/>pe&longs;&longs;ono, che ardeua, ouer bru&longs;aua, che de neceßita doue&longs;&longs;ono &longs;aper componere la pol <lb/>uere delle artegliarie, perche la detta poluere non &longs;i fa de &longs;alnitrio puro, anzi &longs;e com <lb/>pone de tre materiali (come credo, che quella &longs;appia) cioe di &longs;alnitrio, &longs;olfere, & car <lb/>bone. </s>

<s>Et pero eglie co&longs;a credibile, chel &longs;ia poßibile hauer <expan abbr="cogn&imacr;tione">cognintione</expan> del &longs;alnitrio, <lb/>& della natura di quello, & ignorare la compo&longs;itione della detta poluere.<emph.end type="italics"/> P. V<emph type="italics"/>oi <lb/>haueti ragione.<emph.end type="italics"/></s>

<s>QVESITO QVARTO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. C<emph type="italics"/>on che ragione, ouer perche cau&longs;a la detta poluere delle arteglia <lb/>rie, &longs;e compone co&longs;i de que&longs;ti tre materiali, cioe de &longs;alnitrio, &longs;olfere, et carbone, <lb/>& non de altri &longs;implici, & que uirtu, ouer officio particolare ha cadauno di detti tre <lb/>materiali, ouer &longs;implici per &longs;e in tal compo&longs;itione, & que effetto faria ogni dui di lo <lb/>ro &longs;enza el terzo.<emph.end type="italics"/> N. T<emph type="italics"/>al poluere &longs;e compone co&longs;i de detti tre materiali, perche ca <lb/>dauno loro medica, & &longs;uppli&longs;&longs;e ad alcun difetto de alcun delli altri dui, perche el &longs;ol<lb/>fere è piu atto di accendere il fuoco con fiamma (e&longs;&longs;endo alquanto tocco da quello) de <lb/>alcun delli altri dui, el qual fuoco con fiamma é molto piu atto à introdur in fuoco el <lb/>&longs;alnitrio di qualunque altro fuoco, & perche el detto &longs;alnitrio bru&longs;ando &longs;e ri&longs;olue in <lb/>e&longs;&longs;alatione uento&longs;a, la quale è tanto potente, che &longs;ubito amorzarebbe la fiamma gia <lb/>introdutta nel &longs;olfere, & con&longs;equentemente quella introduta (per quella del &longs;olfere) <lb/>nel medemo &longs;alnitrio, & perche la natura del &longs;olfere, & &longs;imelmente quella del &longs;alni<lb/>trio è tale, che morta la fiamma, non ui re&longs;ta alcuna minima in&longs;egna di fuoco, & per <lb/>tanto componendo in&longs;ieme &longs;olamente &longs;alnitrio, & &longs;olfere ottimamente pi&longs;ti, & acco<lb/>&longs;tandoui el fuoco, immediate tal fuoco ui &longs;e accendera, & immediate ui &longs;e de&longs;tuara,<emph.end type="italics"/><pb pagenum="38"/><emph type="italics"/>per le ragioni di &longs;opra dette, cioe, che tal fuoco non continuera per fina che &longs;ia con&longs;u<lb/>mata, ouer abbru&longs;ata tutta la materia, ma &longs;olamente ne abbru&longs;ara un poco, & lo re<lb/>&longs;tante re&longs;tara non offe&longs;a dal detto fuoco, onde per medicare que&longs;to difetto, ui&longs;e mc&longs;co <lb/>la con ambidui el carbone ottimamente poluerizato, perche el carbone è di tal natu<lb/>ra, che tocco dalla fiamma del fuoco &longs;ubito &longs;i accende, & &longs;i conuerte in fuoco &longs;enza <lb/>fiamma, el qual fuoco &longs;enza fiamma, quanto piu è ue&longs;&longs;ado dalcun uento, tanto piu&longs;i ac <lb/>cende, & con&longs;erua per fina à tanto, che ogni &longs;ua &longs;o&longs;tantia &longs;ia conuer&longs;a in cenere, e per <lb/>tanto, toccando tal compo&longs;itione con el fuoco immediate el &longs;olfere &longs;i apprende <expan abbr="cõ">com</expan> <expan abbr="fiã-ma">fian<lb/>ma</expan> (come detto) la qual fiamma non &longs;ola nente mtrodu&longs;&longs;e immediate fuoco e fiamma <lb/>nel &longs;alnitrio, ma etiam in quello i&longs;tante introdu&longs;&longs;e fuoco &longs;enza fiamma nel carbone, el <lb/>qual fuoco, per alcun uento non &longs;e e&longs;tingue, anzi &longs;e augmenta, & pero quel uento cau<lb/>&longs;ato dal &longs;alnitrio, non è atto à poter ammorzar quel fuoco &longs;enza fiamma, che é nel car <lb/>bone anzi, come ho detto lo augmenta, & perche il &longs;olfer e&longs;&longs;endo contiguo con el fuo <lb/>co, ò &longs;ia con fiamma, ouer &longs;enza fiamma, non puo &longs;tar &longs;enza fiamma la qual fiamma, <lb/>come detto infiamma el &longs;alnitrio, e pero que&longs;titre materiali pi&longs;ti, & mi&longs;ti ottimamen <lb/>te in&longs;ieme, & in tal mi&longs;tur a introdutoui el fuoco tal fuoco uien à e&longs;&longs;ere ine&longs;tinguibile, <lb/>per fin che non &longs;ia con&longs;umata ogni &longs;ostantia (&longs;aluo &longs;e in alcuno de detti materiali non <lb/>fu&longs;&longs;e qualche accidental di&longs;etto, ò de humidita, ouer che fu&longs;&longs;eno tolti molto differenti <lb/>di la &longs;ua conueniente proportione) & pero &longs;e conclude, che lo officio del &longs;olfere in tal <lb/>compo&longs;itione è &longs;olamente per apprendere il fuoco con fiamma, & introdurlo nelli al<lb/>tri dui materiali, & quello del carbone è &longs;olamente de mantenere el detto fuoco &longs;enza <lb/>fiamma, gia introdutoui dal &longs;olfere, & maßime contra quel gran uento, che cau&longs;a el <lb/>&longs;alnitrio, ma lo officio poidel detto &longs;alnitrio è &longs;olamente per cau&longs;ar quella co&longs;i gran<lb/>dißima e&longs;&longs;alatione di uento, perche in quel tal uento con&longs;i&longs;te tutta la uirtu, et proprie <lb/>ta di la poluere, perche quello è &longs;olamente quello, che fpmge co&longs;t uigoro&longs;amente ogni <lb/>balla, & per tanto &longs;e conclude, che &longs;olamente dal &longs;alnitrio depende tutta la uirtu, e <lb/>po&longs;&longs;anza della poluere, & li altri dui &longs;implici, ouer materiali, cioe el &longs;olfere, & el car <lb/>bone ui&longs;e pongono &longs;olamente per ri&longs;oluere in fuoco, e uento el detto &longs;alnitrio, e non <lb/>per altro, perche chi compone&longs;&longs;e poluere &longs;olamente de &longs;olfere, e carbone, & che di <lb/>quella &longs;e ne carga&longs;&longs;e una artegliaria à gran misura, dico che in tal &longs;orte di poluere in<lb/>troducendoui el fuoco, la non &longs;aria atta à &longs;pingere fora di detta artegliaria un minime <lb/>legnetto, ouer una paglia, & que&longs;to procede, perehe tutta quella utrtu e&longs;pul&longs;iua de<lb/>pende &longs;olamente dal puro &longs;alnitrio, & non da altro, e per tanto el&longs;e potria piu pre&longs;to <lb/>concludendo dire e&longs;&longs;er piu poßibile à fare poluere de artegliaria, &longs;enza carbone, & <lb/>&longs;olfere, che &longs;enza &longs;alnitrio, perche eglie da credere e&longs;&longs;er piu poßibile à trouar altri <lb/>materiali, che face&longs;&longs;eno lo officio del &longs;olfere in apprendere el fuoco con fiamma, & <lb/>&longs;imelmente del carbone in mantenerui el detto fuoco &longs;enza fiamma, che à ritrouarne <lb/>uno altro, che fu&longs;&longs;e atto à cau&longs;ar tanto grande, & impetuo&longs;o uento, come fa el detto &longs;al <lb/>nitrio.<emph.end type="italics"/> P. E<emph type="italics"/>glie da credere che &longs;ia piu pre&longs;to poßibile à componere poluere buona <lb/>&longs;enza carbone e&longs;olfere, che &longs;enza &longs;alnitrio, perche tutta la uirtu e po&longs;&longs;anza della pol <lb/>uere (come di &longs;opra haueti detto) depende dal puro &longs;alnitrio, & non da altro, ma per <lb/>ßer hora tarda, uoglio facciamo fine.<emph.end type="italics"/></s><pb/>

<s>QVESITO QVINTO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Priore di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;erauoi aßigna&longs;tila cau&longs;a, perche la poluere &longs;e compone co&longs;i <lb/>co&longs;i di quelli tre materiali, & che officio ha cadauno de dittimateriali, in tal <expan abbr="cõ">com</expan> <lb/>po&longs;itione, hor ue adimando, che fu inuentor di tal poluere, & con che ragione fu de<lb/>terminata da quello, la proportione della quantita di cadauno materiale conueniente à <lb/>tal compo&longs;itione.<emph.end type="italics"/> N. C<emph type="italics"/>he fu&longs;&longs;e inuentor di que&longs;ta poluere, & della artegliaria, fra <lb/>el uulgo è &longs;parto, per autorita del Cornazano, qual dice, che futrouata à ca&longs;o da un <lb/>Tode&longs;co Alchimista, ma io &longs;on di openione, che di tal compo&longs;itione Archimede Sira<lb/>cu&longs;ano<emph.end type="italics"/> (P<emph type="italics"/>hilo&longs;opho, & Mathematico peritißimo) ne fu&longs;&longs;e inuentore (& di que&longs;ta me <lb/>dema opinione è il commentator di Vitruuio &longs;opra el primo libro à carte.<emph.end type="italics"/> 8.) <emph type="italics"/>perche <lb/>di lui &longs;i troua in molti luochi in &longs;critto (come narra Valturio nel decimo libro de remi<lb/>litare) qualmente lui trouo una certa &longs;pecie di machina di ferro, con la quale lui tra&longs;e <lb/>ua uer&longs;o lo e&longs;&longs;ercito terre&longs;to &longs;aßi di grandißimo pe&longs;o, e grandezza, & con uno incre<lb/>dibel &longs;uono, la qual co&longs;a ne da ad intendere, che fu&longs;&longs;e una machina &longs;imile à una arteglia <lb/>ria, ma che tir a&longs;&longs;e balle di pietra großißime, come che anchor a non è molto tempo, che <lb/>fra moderni&longs;i co&longs;tumaua, & maßime per quel incredibel &longs;uono, che nel tirarla ui oc<lb/>corre, el qual &longs;uono, in altra&longs;orte di machina da tirar, à me non pare, che ui&longs;e po&longs;&longs;a <lb/>cau&longs;are, &longs;aluo che in una &longs;imile alla artegliaria, uero é, che à quel tempo io tengo, che <lb/>fu&longs;&longs;eno molto difforme, & piu di&longs;conze di quelle, che alli pre&longs;enti tempi &longs;i co&longs;tuma, <lb/>perche &longs;empre le prime inuentioni teneno del rustico, ma con el tempo &longs;e uanno meglio <lb/>rando, per e&longs;&longs;er co&longs;a facile aggiongere alle co&longs;e trouate, & il mede&longs;imo dico della pol <lb/>uere, cioe, che al principio, che la fu trouata (ò da Archimede, ouer da chi &longs;i uoglia) <lb/>eglie da credere, che in quel tempo la non&longs;e compone&longs;&longs;e con tal ordine e proportione, <lb/>come che al pre&longs;ente &longs;i co&longs;tuma, anzi giudico, che da quel tempo in qua &longs;e &longs;ia uariato <lb/>l'ordine da componerla qua&longs;i infiniti modi, & che el &longs;ia el uero, io ho ritrouato &longs;opra <lb/>alcuni libri non molto antiqui certi modi, & ordinida componerla, molto differenti <lb/>dalli piu moderni.<emph.end type="italics"/> P. D<emph type="italics"/>itime un poco, che proportion o&longs;&longs;eruamo, & o&longs;&longs;eruauano.<emph.end type="italics"/><lb/>N. I<emph type="italics"/>o ho ritrouato in alcuni piu antiqui libri, che à uoler far poluere di bombarda uo <lb/>leuano, che &longs;e piglia&longs;&longs;e de cadauno di &longs;opra detti tre materiali parte equale, cioe tanto <lb/>de l'uno, quanto de l'altro. </s>

<s>Et alcuni altri dapoi uoleuano che &longs;e piglia&longs;&longs;e parte. </s>

<s>3. di <lb/>&longs;alnitrio, & parte. </s>

<s>2. di &longs;olfere, & parte. </s>

<s>2. di carbone. </s>

<s>Alcuni altri poi uoleuano, che <lb/>per far la detta poluere di bombarda &longs;e toglie&longs;&longs;e lire. </s>

<s>10. di &longs;alnitrio, & lire. </s>

<s>3. di &longs;olfe <lb/>re, & lire. </s>

<s>3. di carbone. </s>

<s>Et alcuni altri uoleuano, che &longs;e piglia&longs;&longs;e lire. </s>

<s>12. di &longs;alnitrio, <lb/>& lire. </s>

<s>3. di &longs;olfere, & lire. </s>

<s>2. di carbone. </s>

<s>Altriuoleuano che &longs;i toglie&longs;&longs;e parte. </s>

<s>9. di &longs;al <lb/>nitrio, & parte. </s>

<s>2. di &longs;olfere, e parte. </s>

<s>3. di carbone, et alcuni altri piu moderni per far <lb/>la per &longs;chioppiuoleuano, che &longs;e piglia&longs;&longs;e parti. </s>

<s>4. de &longs;alnitrio, & parte una di &longs;olfere, <lb/>& parte. </s>

<s>1. di carbone: alcuni altri han detto, che per far poluere gro&longs;&longs;a&longs;i doue&longs;&longs;e pi<lb/>gliare parti. </s>

<s>20. di &longs;alnitrio, et parti. </s>

<s>3. di &longs;olfere, et parti. </s>

<s>10. di carbon, & <21> farla al <lb/>quanto piu fina per &longs;chioppi <expan abbr="hãno">hanno</expan> detto, che &longs;i doue&longs;&longs;e tore parti. </s>

<s>100. di &longs;alnitrio, & <lb/>parti. </s>

<s>10. di &longs;olfe re, et parti. </s>

<s>36. di carbone, altri dicono che <21> far poluere gro&longs;&longs;a, che<emph.end type="italics"/><pb pagenum="39"/><emph type="italics"/>&longs;i debbiatuor parti. </s>

<s>100. di &longs;alnitrio, et parti. </s>

<s>20. di &longs;olfere, et parti. </s>

<s>37. dicarbone. </s>

<s>Et <lb/><21> farla fina parti. </s>

<s>9. &longs;alnitrio, parti. </s>

<s>3. &longs;olfere, et parti. </s>

<s>6. de fior de mirochea (cioe <expan abbr="hã-no">han<lb/>no</expan> tentato di farla &longs;enza carbone, anchor che tal herba à me &longs;ia incognita, perche tal <lb/>nome di herba mai ho potuto ritrouare, ne in le Pandete, ne in Auicenna, ne in alcun <lb/>herbolario) alcuni altri piu moderni poi hanno detto, che per fare la poluer gro&longs;&longs;a &longs;e <lb/>debbia pigliare &longs;alnitrio parti. </s>

<s>2. &longs;olfere parti. </s>

<s>1. carbon de &longs;alice parti. </s>

<s>1. Et per far <lb/>quella de archibu&longs;i dicono che &longs;i debbia pigliare &longs;alnitrio parti. </s>

<s>3. carboni de rami di &longs;a <lb/>lice giouani, parte. </s>

<s>1. &longs;olfere parti. </s>

<s>1. Et à far la poluer fina de &longs;chioppo dicono, che &longs;e <lb/>debbia pigliare &longs;alnitrio raffinato piu uolte parti. </s>

<s>5. &longs;olfere parti. </s>

<s>1. carbone de uerghet <lb/>te di Auellane, ouer nocelle giouine de un'anno parti. </s>

<s>1. alcuni altri dicono, che per far <lb/>poluer gro&longs;&longs;a, che &longs;i debbia tuor parti. </s>

<s>3. de &longs;alnitrio raffinato, & parti. </s>

<s>1. di &longs;olfere, et <lb/>parti. </s>

<s>2. di carbon de &longs;alice, & per fare la poluere mezzana dicono, che &longs;i debbia pi<lb/>gliare parti. </s>

<s>10. di &longs;alnitrio raffinato, & parti. </s>

<s>2. di &longs;olfere, & parti. </s>

<s>3. di carbon de &longs;a <lb/>lice, & per farla fina de archibu&longs;i dicono, che &longs;e debbia pigliar parti. </s>

<s>10. di &longs;alnitrio <lb/>raffinato &longs;olfer parti. </s>

<s>1. carbon de uerzelle de nizola monde pur parte. </s>

<s>1. Et per farla <lb/>migliore, eioe per &longs;chioppo, uogliono che &longs;e toglia parti. </s>

<s>27. de &longs;alnitrio raffinato &longs;ol<lb/>fere parti. </s>

<s>3. carbone pur de uerzelle de nizola monde parti. </s>

<s>4. alcuni altri dicono, che <lb/>per farla piu gagliarda che &longs;i debbia tuore &longs;alnitro raffinato lire. </s>

<s>7. &longs;olfere lire. </s>

<s>1. car<lb/>bon de uerzella de nizola monde lire. </s>

<s>1. altri per farla molto migliore uoleno che &longs;i to <lb/>glia &longs;alnitrio raffinato parti. </s>

<s>8. &longs;olfere parte. </s>

<s>1. carbon de uerzelle de uizola gioueni, <lb/>& monde parte. </s>

<s>1. alcuni per farla piu forte hanno uoluto aggiongere dell'argento ui <lb/>uo, alcuni acqua de uitta, alcuni &longs;al armoniaco, alcuni canfora, alcuni farla con carboni <lb/>de tor&longs;i de uerzi, alcuni con carbone de gionchi, ouer di tela di lino bru&longs;iata, alcuni han <lb/>no tentato à farla in uari colori &longs;enza carboni, cioe bianca, ro&longs;&longs;a, biaua, ponendoui alcu <lb/>ni fiori di herbe &longs;ecche in poluere che faceuano lo officio del carbone, & chi ue da&longs;e<lb/>uano quel tal colore, le qual co&longs;e, à uolerle de&longs;criuere à una per una ci haueria da dire <lb/>per fin à diman da mattina, & accio che quella po&longs;&longs;a uedere la differentia, che &longs;ia fra <lb/>que&longs;ti modi li uoglio de&longs;criuere qua &longs;otto a uno per uno di&longs;tintamente, &longs;econdo che di <lb/>&longs;opra gliho recitati, & de molti altri non recitati per piu breuita. <lb/> Poluere di bombarda al modo piu an<lb/> tico. <lb/>1 Salnitrio parte.1. <lb/> Solfere parte.1. <lb/> Carbone parte.1. <lb/> Poluer di bombarda al modo non tanto <lb/> antico. <lb/>2 Salnitrio parti.3. <lb/> Solfere parti.2. <lb/> Carbone parti.2. <lb/> Poluer di bombarda al modo non tan<lb/> to antico. <lb/>3 Salnitrio parti.10. <lb/> Solfere parti.3. <lb/> Carbone parti.3. <lb/> Poluer di bombarda al modo non tan<lb/> to antico. <lb/>4 Salnitrio parti.12. <lb/> Solfere parti.3. <lb/> Carbone parti.2. <pb/> Poluer di bombarda al modo non trop <lb/> po antico. <lb/>5 Salnitrio pari.9.. <lb/> Solfere partti.2 <lb/> Carbone parti.3. <lb/> Poluer a&longs;&longs;ai moderna de &longs;chioppo. <lb/> Salnitrio parti.4. <lb/>6 Solfere parte.1. <lb/> Carbone parte.1. <lb/> Poluer di bombarda al modo piu mo<lb/> derno. <lb/> Salnitrio parti.20. <lb/>7 Solfere parti.3. <lb/> Carbone parti.10. <lb/> Poluer di bombarda al modo piu mo<lb/> derno. <lb/>8 Salnitrio parti.100. <lb/> Solfere parti.10. <lb/> Carbone parti.36. <lb/> Poluer gro&longs;&longs;a al modo moderna. <lb/> Salnitrio parti.100. <lb/>9 Solfere parti.20. <lb/> Carbone parti.37. <lb/> Poluer fina non molto antica. <lb/> Salnitrio parti.9. <lb/>10 Solfere parti.3. <lb/> Pior de mirochea parti.6. <lb/> Poluer gro&longs;&longs; a piu moderna. <lb/> Salnitrio parti.2. <lb/> Solfere parte.1. <lb/>11 Carbone de&longs;alice parte.1. <lb/> Poluer di archibu&longs;o piu moderna. <lb/> Salnitrio parti.3. <lb/>12 Solfere parti.1. <lb/> Carbone de rami de &longs;alice giouani <lb/> parte.1. <lb/> Poluer fina piu moderna. <lb/>13 Salnitrio raffinato piu uolte parti.5. <lb/> Solfere parte.1. <lb/> Carbone de uerga de auolane gioue<lb/> ni parte.1. <lb/> Poluer gro&longs;&longs;a piu moderna. <lb/> Salnitrio raffinato parti.3. <lb/>14 Solfere parte.1. <lb/> Carbone di &longs;alice parti.2, <lb/> Poluer mezzana piu moderna. <lb/> Salnitrio raffinato parti.10. <lb/>15 Solfere parti.2. <lb/> Carbone de &longs;alice parti.3. <lb/> Poluer di archibu&longs;o moderno. <lb/> Salnitrio raffinato piu uolte parti.10. <lb/>16 Solfere parte.1. <lb/> Carbone de uerzelle di nizola mon<lb/> de parte.1. <lb/> Poluer de &longs;chioppo piu moderna. <lb/> Salnitrio raffinato parti.27. <lb/>17 Solfere parti.3. <lb/> Carbone de uerzelle de nizola mon<lb/> de parti.4. <lb/> Poluer de &longs;chioppo piu gagliarda, & <lb/> piu moderna. <lb/> Salnitrio raffinato parti.7. <lb/>18 Solfere parte.1. <lb/> Carbone de uerzelle de nizola mon<lb/> de è giouene parte.1. <lb/> Poluer de &longs;chioppo piu fina è ga<lb/> gliarda. <lb/> Salnitrio raffinato piu uolte <lb/> parti6. <lb/>19 Solfere parte.1. <lb/> Carbone de uerzelle de nizo la gioue<lb/> ne è monde parte.<emph.end type="italics"/>1. <pb pagenum="40"/> P<emph type="italics"/>oluer gro&longs;&longs;a moderna <lb/> Salnitrio parti.4. <lb/>20 Solfere parte.1. <lb/> Carbone de &longs;alice parte.1. <lb/> Poluer gro&longs;&longs;a moderna. <lb/> Salnitrio parti.20. <lb/>21 Solfere parti.4. <lb/> Carbone de &longs;alice parti.5. <lb/> Poluer de &longs;chioppo moderna. <lb/> Salnitrio raffinato à &longs;ecco parti.48. <lb/>22 Solfero cetrino parti.7. <lb/> Carbone de nizolaro, ouer de legni <lb/> del caneuo &longs;ecchi parti.8. <lb/> Poluer da &longs;chioppo moderna. <lb/> Salnitrio raffinato parti.18. <lb/>23 Solfere parti.2. <lb/> Carbon de legno de nizolaro parti.<emph.end type="italics"/>3. </s>

<s>P<emph type="italics"/>er fare qual &longs;i uoglia delle &longs;opra&longs;critte &longs;orte di poluere, bi&longs;ogna notare, che à uoler <lb/>che la &longs;ia buona, &longs;econdo la qualita &longs;ua, eglie nece&longs;&longs;ario, che il &longs;alnitrio &longs;ia puro, e netto, <lb/>& potente (la qual co&longs;a &longs;i cono&longs;ce da pratici à bru&longs;arne un poco) &longs;imilmente che il &longs;ol<lb/>fere &longs;ia netto di terra, & da altre &longs;porcitie, che in e&longs;&longs;o &longs;i troua, & che il carbone an<lb/>chora non &longs;ia &longs;uboido per stare in luoco humido, ouer che il non &longs;ia mi&longs;to con poluere, <lb/>ouer terra, ultimamente bijogna aduertire, che tal poluere &longs;ia ottimamente pe&longs;ta, & <lb/>li detti tre materiali in&longs;ieme ben incorpor ati ilche facendo tal poluere non mancara di <lb/>&longs;uoi effetti &longs;econdo la &longs;pecie di quella, domente, che anchora &longs;ia da ogni humidita bene <lb/>eßicata, e pero la non uol e&longs;&longs;er tenuta in luoco humido ma in luoco &longs;utto. </s>

<s>Anchora per <lb/>un'altra ragione uol &longs;tar in luoco &longs;utto, che la humidita ri&longs;olue il &longs;alnitrio in acqua, & <lb/>ri&longs;olto che &longs;ia di&longs;cende pian piano uer&longs;o il fondo del ua&longs;o doue reposta tal poluere, per <lb/>ilche nella poluere del fondo uien à e&longs;&longs;er piu &longs;alnitrio, che in quella che &longs;tanella parte <lb/>di &longs;opra del detto ua&longs;o.<emph.end type="italics"/></s>

<s>HOR V<emph type="italics"/>o&longs;tra Reuerentia puo uedere in quanti uarij modi è <lb/>&longs;tato determinato <lb/>l'ordine, ouer la proportione della quantita di &longs;opradetti tre materiali nella <lb/>compo&longs;itione della detta poluere.<emph.end type="italics"/> P. C<emph type="italics"/>ertamente eglie da marauigliare de tante ua<lb/>rie mutationi de ordini, & non po&longs;&longs;o pen&longs;are con che ragione quelli tali &longs;e &longs;iano moßi à <lb/>determinar tai ordmi.<emph.end type="italics"/> N. L<emph type="italics"/>a prima inuentione (quantunque alcuni dicono che la fu <lb/>trouata à ca&longs;o) io tengo che la fu&longs;&longs;e ritrouata con ragion naturale, &longs;peculatiuamente, <lb/>cioe che tai tre materiali ben pi&longs;ti, & me&longs;colati in&longs;ieme doue&longs;&longs;eno e&longs;&longs;er atti à formar <lb/>un fuoco co&longs;i gagliardo, & ine&longs;tinguibile, per fin che ogni materia non fu&longs;&longs;e con&longs;u<lb/>mata, perche ui &longs;ono le ragionuiue co&longs;i douer e&longs;&longs;er, ma à determinare la proportione <lb/>della quantita de detti materiali, credo che con la i&longs;perientia &longs;e &longs;iano con&longs;igliati, per<lb/>che nel primo ordine &longs;e fondorno &longs;u la proportion della equalita, perche il &longs;iuede, <lb/>che pigliauano tanto de l un materiale quanto che dell'altro, & quantunque tal pol<lb/>uere in gran quantita face&longs;&longs;e for&longs;i qualche buon effetto, nondimeno con&longs;iderando che <lb/>tal effetto procedeua dal &longs;alnitrio, &longs;ecero un'altro ordine, cioe <expan abbr="pigliãdo">pigliando</expan> maggior parte <lb/>de &longs;almtrio di quello faceano de cadauno delli altri, et ritrouorno tal poluer piu <expan abbr="pot&etilde;te">potente</expan> <pb/>della prima, et co&longs;i con tai aui&longs;i ragioneuoli, alcuni &longs;ono andati uariando tal ordine per <lb/>fin à que&longs;titempi, uero è, che ui &longs;o no alcuni ordini delli &longs;opra notati, che con poca ra<lb/>gion, & manco giudicio &longs;ono &longs;tati ordinati, anzi credo che &longs;tano &longs;tati alcuni, che per <expan abbr="nõ">non</expan> <lb/>uoler far, come faceuano gli altri) per mo&longs;trar di&longs;aper piu di loro) &longs;enza altra ragio<lb/>ne hanno uoluto formar nuoui ordini, cioe cre&longs;cendo il carbone, & &longs;minuendo il &longs;olfe<lb/>re, altri in cre&longs;cere il &longs;olfere, & &longs;minuire il carbone, altri uariando tutti tre li detti ma <lb/>teriali in certe &longs;tranie proportioni, accio che para con maggior &longs;apientia, & &longs;ottilita <lb/>ritrouato.<emph.end type="italics"/> P. E<emph type="italics"/>glie que&longs;to, &longs;i come &longs;ono anchora quelli compo&longs;itori, che non &longs;anno <lb/>dire, ne fare, &longs;e non quello, che hanno detto, ouer fatto gli altri, ma perche &longs;i uergogna <lb/>no alle uolte apparere che habbiano imparato, ouer tolto da quelli tali &longs;e sforzan di ua <lb/>riar alquanto il modo, ouer il parlare.<emph.end type="italics"/> N. C<emph type="italics"/>o&longs;i è preci&longs;o.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;to ragionamen<lb/>to è &longs;tato molto longo, e pero uoglio che facciamo fine.<emph.end type="italics"/></s>

<s>QVESITO SESTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo<emph.end type="italics"/> S. P<emph type="italics"/>rior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;erauoi dimo&longs;tra&longs;ti in quanti modi (da non molto <expan abbr="t&etilde;po">tempo</expan> in qua) <lb/>è &longs;tato uariato l'ordine, ouer la proportione della quantita di tre materiali nel <lb/>componere la poluere, hor ue adimando, qual di &longs;opra notati ordini (&longs;i di piu antichi, <lb/>come di piu moderni) giudicati e&longs;&longs;er migliore, cioe che ne dia piu perfetta, & piu ga<lb/>gliarda, ouer potente poluere.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio quella poluere &longs;e de giudicar e&longs;&longs;er <lb/>piu gagliarda, & potente che contien maggior parte de &longs;alnitrio, dico maggior parte <lb/>ri&longs;petto al tutto. </s>

<s>E&longs;&longs;empi gratia, il primo ordine di &longs;opra annotati, cioe quello doue &longs;i <lb/>tuol de cadauno materiale parte una, tal compo&longs;itione uenira à tener un terzo &longs;alnitrio <lb/>& li dui terzifra&longs;olfere è carbone, & lo &longs;econdo con&longs;equente à quello, cioe quello do<lb/>ue &longs;e tuol &longs;alnitrio parte. </s>

<s>3. &longs;olfere parte. </s>

<s>2. e carbone parte. </s>

<s>2. ueniria à tener li tre <lb/>&longs;ettimi &longs;alnitrio, & li quattro &longs;ettimi fra&longs;olfere, e carbone, & perche li tre &longs;ettimi è <lb/>maggior parte de un terzo, e pero diremo che la poluere del detto &longs;econdo ordine &longs;ara <lb/>piu gagliarda, e potente di quella del primo ordine, &longs;imilmente la poluere del terzo or <lb/>dine &longs;ara piu potente di quella del &longs;econdo, perche quella del detto terzo ordine tien li <lb/>cinque ottaui &longs;alnitrio, li quai cinque ottaui &longs;ono molto maggior parte de tre &longs;ettimi, <lb/>& il quarto uien à tener li dodeci. </s>

<s>17. eßimi &longs;alnitrio, & perche dodeci. </s>

<s>17. eßimi è <lb/>maggior de cinque ottaui, e pero diremo, che la poluere del detto quarto ordine è piu <lb/>gagliarda di quella del terzo, & il quinto ordine uien à tener li nuoue. </s>

<s>14. eßimi &longs;al<lb/>nitrio, & perche li nuoue. </s>

<s>14. eßimi è menor parte de dodeci. </s>

<s>17. eßimi diremo che la <lb/>poluer del detto quinto ordine e&longs;&longs;er peggiore, ouer men potente di quella del quarto, <lb/>& il &longs;e&longs;to ordine uien à tener li dui terzi &longs;alnitrio, & perche li dui terzi è maggior <lb/>delli nuoue. </s>

<s>14. eßimi, diremo che la poluere del &longs;e&longs;to ordine e&longs;&longs;er migliore, ouer piu <lb/>potente di quella del quinto, & con tal modo procedendo in tutti glialtri con&longs;equenti <lb/>ordini (à che non ignorara lo operar, & cognition di rotti) con facilita cono&longs;cera <lb/>qual ordine &longs;ia migliore, ouer peggiore, cioe qual poluere &longs;ara piu gagliarda è poten<lb/>te, & econuer&longs;o, intendendo pero in una i&longs;te&longs;&longs;a &longs;orte di &longs;alnitrio, & co&longs;i&longs;e potra far<emph.end type="italics"/><pb pagenum="41"/><emph type="italics"/>comparatione di quelle gro&longs;&longs;e, ouer de artegliarie alle altre &longs;ue &longs;imile, et co&longs;t delle fine, <lb/>ouer de&longs;chioppo, alle altre &longs;ue &longs;imile, perche &longs;aria co&longs;a longa à uoler dare e&longs;&longs;empio à <lb/>tutti li &longs;apra detti ordini à uuo per uno.<emph.end type="italics"/> P. C<emph type="italics"/>oncludetemi al manco de tutti li &longs;opra <lb/>notati or dini qual &longs;ara la piu gagliarda é <expan abbr="pot&etilde;te">potente</expan> de tutte le altre.<emph.end type="italics"/> N. Q<emph type="italics"/>uella del. </s>

<s>16. <lb/>ordine &longs;ara la piu potente, & gagliarda de tutte le &longs;opra notate (cioe quella doue &longs;e tol <lb/>&longs;alnitrio raffmato piu uolte parte. </s>

<s>10. &longs;olfere parte. </s>

<s>1. carbon de uerzelle de nizola <lb/>giouene e monde parte. </s>

<s>1. & que&longs;ta &longs;ara la piu potente per due cau&longs;e. </s>

<s>La prima è, per <lb/>che tal poluere uien à tener li cinque &longs;e&longs;ti &longs;alnitrio, el qual cinque &longs;e&longs;ti è maggiore di <lb/>qual &longs;i uoglia parte occorrente in qual &longs;i uoglia delli altri &longs;opra notati ordini. </s>

<s>La &longs;e<lb/>conda cau&longs;a è, che tal &longs;alnitrio ua raffinato piuuolte, che lo fa piu perfetto etiam ui <lb/>concorre piu perfetto carbone, perche in effetto quanto piu el carbone è di materia le<lb/>ue, e dolce, eglie piu atto à riceuere, & mantenere piu facilmente il fuoco, e pero tan<lb/>to piu è perfetto, per e&longs;&longs;er piu atto, & di&longs;po&longs;to à far con celerita lo officio &longs;uo.<emph.end type="italics"/> P. <lb/>Q<emph type="italics"/>ue&longs;ta uostra openione mi con&longs;ona molto, ma mi resta un dubbio di adimandarui, ma <lb/>per e&longs;&longs;er tardi lo uoglio la&longs;&longs;ar à diman di &longs;era.<emph.end type="italics"/></s>

<s>QVESITO SETTIMO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;era uoi conclude&longs;ti, che quella del decimo&longs;e&longs;to ordine, e&longs;&longs;er la <lb/>piu fina, & piu potènte, ouer gagliarda poluere de cadauno altro di &longs;opra nota <lb/>ti ordini, perche contien ma ggior parte de &longs;alnitrio, de cadauno delli predetti ordeni <lb/>la qual parte è li cinque &longs;esti del tutto, hor ue adimando &longs;e la non &longs;aria a&longs;&longs;ai piu ga<lb/>gliarda, e potente, che la face&longs;&longs;e con maggior parte de detti cinque &longs;e&longs;ti del mede&longs;imo <lb/>&longs;alnitrio, & menor parte de un &longs;e&longs;to fra &longs;olfere, e carbon, cioe carbon della mede&longs;ima <lb/>&longs;orte.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio, che la &longs;aria piu gagliarda, e potente, domente, che tal mini <lb/>ma parte de &longs;olfere, & carbone fu&longs;&longs;e atta, & &longs;officiente à far quel&longs;uo officio, che ui&longs;e <lb/>a&longs;petta, cioe ad apprendere con prestezza el fuoco, etiam à introdurlo, & mantener<lb/>lo nel &longs;alnitrio per fina che &longs;ia totalmente ri&longs;&longs;olto in fuoco, perche &longs;el fu&longs;&longs;e tanto poca <lb/>la quantita, ouer parte del detto &longs;olfere, & carbone, che la non fu&longs;&longs;e atta, e &longs;officiente <lb/>à far tal officio, tal compo&longs;itione re&longs;taria inutile, & qua&longs;i de niun ualore, e pero bi&longs;o<lb/>gna &longs;opra questo molto ben aduertire, perche &longs;el fu&longs;&longs;e poßibile à far tal poluere de pu <lb/>ro, e perfetto &longs;alnitrio, &longs;enza dubbio quella &longs;aria piu potentißima, ouer gagliardißima <lb/>di qualunque altra compo&longs;ta de mede&longs;imo &longs;alnitrio con &longs;olfere, & carbone: ma petche <lb/>el detto &longs;alnitrio per &longs;e &longs;olo non é atto ne &longs;officiente ad apprendere con tal cellerita el <lb/>&longs;uoco con uiua fiamma, come fa el &longs;olfere, ne etiam à con&longs;eruarlo per fina à tanto, che <lb/>fu&longs;&longs;e totalmente ar&longs;o, & di&longs;trutto (come fa el carbone) e pero eglie nece&longs;&longs;ario à dargli <lb/>la compagnia delli altri dui, cioe &longs;olfere, & carbone, & tanta quantita, che &longs;ia atta, e <lb/>&longs;officiente à fare quel tal &longs;uo officio, che ui&longs;e a&longs;petta (detto di &longs;opra.)<emph.end type="italics"/> P. E<emph type="italics"/>ue ho in<lb/>te&longs;o benißimo, & uoglio, che que&longs;to ba&longs;ti per que&longs;ta &longs;era.<emph.end type="italics"/></s><pb/>

<s>QVESITO OTTAVO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Priore di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. H<emph type="italics"/>ier&longs;era uoi determina&longs;ti, che quella poluere, che <expan abbr="cõtien">contien</expan> maggior <lb/>parte de &longs;alnitrio, et menor parte fra&longs;olfere e carbone (domente che tal&longs;olfere, <lb/>& carbone &longs;ia &longs;officiente à far cl&longs;uo officio) e migliore, e piu potente di qualunque al <lb/>tra compo&longs;ta della mede&longs;ima &longs;orte di &longs;alnitrio, &longs;olfere, e carbone, ma con menor parte <lb/>del detto &longs;alnitrio, & maggiore fra &longs;olfere e carbone (et que&longs;to credo anchor a io) ma <lb/><expan abbr="cõfidero">confidero</expan>, che tal regola <expan abbr="nõ">non</expan> è generale à ogni &longs;pecie di artegliaria, perche el &longs;e &longs;a commu <lb/>namente che li &longs;chioppi, la uogliono piu fina delli archibu&longs;t, & li archibu&longs;t la uogliono <lb/>piu fina delli mo&longs;chetti, et falconetti, & li falconetti la uogliono megliore delle altre <lb/>&longs;or te de artegliarie gro&longs;&longs;e, & per tanto ue adimando &longs;el non ui pare, che el &longs;ianece&longs;&longs;a <lb/>rio à limitare questa &longs;ua compo&longs;itione. </s>

<s>& finezza &longs;econdo la &longs;orte di pezzi.<emph.end type="italics"/> N. </s>

<s>A <lb/><emph type="italics"/>me non pare, che tal co&longs;a &longs;ia nece&longs;&longs;aria, anchor che la&longs;e co&longs;tumi, anzi ho una openio<lb/>ne, che que&longs;to &longs;ia un errore a&longs;&longs;ai maggiore di quello fu detto delle collobrine, & &longs;uoi <lb/>canoni al. </s>

<s>11. Que&longs;ito del. </s>

<s>1. libro.<emph.end type="italics"/> P. M<emph type="italics"/>o come uore&longs;ti uoi, che &longs;i face&longs;&longs;e.<emph.end type="italics"/> N. A<emph type="italics"/>lpre <lb/>&longs;ente <expan abbr="nõ">non</expan> uoglio co&longs;i <expan abbr="ab&longs;olutam&etilde;te">ab&longs;olutamente</expan> dar determinata ri&longs;po&longs;ta à <27>sta materia, <21>che la uo <lb/>glio un poco con&longs;ider arla meglio, et &longs;pero di farui cono&longs;cere un errore in <27>&longs;ta co&longs;a, el <lb/>quale &longs;e ne tira drio molri altri de piu di&longs;comodita, interre&longs;&longs;o, et &longs;pe&longs;a di quello <expan abbr="fãnole">fannole</expan> <lb/>dette colobrine ri&longs;petto alli &longs;uoi canoni (come &longs;i fece cono&longs;cere &longs;opra lo detto. </s>

<s>11. Que <lb/>&longs;ito del. </s>

<s>1. libro.<emph.end type="italics"/> P. C<emph type="italics"/>on&longs;ideratila un poco bene, perche le &longs;ono co&longs;e che importano a&longs; <lb/>&longs;ai à longo andare, & tal hora a&longs;&longs;ai piu di quello che l'huom &longs;i pen&longs;a.<emph.end type="italics"/></s>

<s>QVESITO NONO FATTO DA VN HIERONIMO <lb/><emph type="italics"/>qual di&longs;&longs;e e&longs;&longs;er &longs;otto capo de bombar dieri nella i&longs;ola de Cipri.<emph.end type="italics"/></s>

<s>HIERONIMO. P<emph type="italics"/>erche cau&longs;a credeti, che &longs;e dia la grana alla poluere fina, <lb/>(cioe à quella de &longs;chioppo, & de archibu&longs;o) & non alla gro&longs;&longs;a (cioe à quella del <lb/>le artegliarie.<emph.end type="italics"/> N. I<emph type="italics"/>o &longs;o bene, che la cau&longs;a di que&longs;ta tal particolarita non è da uoiigno <lb/>rata, & che non me adimiandati tal co&longs;a, perche non la &longs;appiati: ma &longs;olamente per far <lb/>i&longs;perientia di me.<emph.end type="italics"/> H. A<emph type="italics"/>nziue la adimando per saperla, & non per far i&longs;perientia di <lb/>uoi: perche non solamente con&longs;e&longs;&longs;o non &longs;aper tal cau&longs;a, cioe perche ragione ui &longs;e dia. <lb/>tal grana, ma ui giuro da real Chri&longs;tiano, che ho ricer cato que&longs;ta tal cosa da molti che <lb/>fanno poluere, dico proui&longs;ionati dalla &longs;ignoria per far poluere d'ogni &longs;orte, & niuno <lb/>me ne ha &longs;aputo aßignar ragion alcuna, &longs;aluo quello che lauora qua in lar&longs;enale di Ve<lb/>netia, el quale me ha ri&longs;po&longs;to, che per darui la detta grana tal poluere &longs;i fa, ouer diuen<lb/>ta piu gagliarda, e potente, la qual &longs;ua ragione mi con&longs;ona alquanto ma non tanto che <lb/>ba&longs;ti, e pero &longs;on uenuto da uoi per chiarirme meglio, e per uedere &longs;e la uo&longs;tra openio<lb/>ne é &longs;imile alla &longs;ua.<emph.end type="italics"/> N. Q<emph type="italics"/>ua&longs;i che non po&longs;&longs;o credere que&longs;to, che uoime dite, perche el <lb/>mi pare qua&longs;i impoßibile, che uno arti&longs;ta faccia alcuna co&longs;a, &longs;enza &longs;apere à che fine el <lb/>la faccia, & maßime di quelle co&longs;e, che lui fa de continuo, perche el bi&longs;ogna che larte <lb/>imiti la natura in que&longs;to, che tutte le co&longs;e che lei &longs;a, la lifaccia à qualche fine. </s>

<s>Et pero<emph.end type="italics"/><pb pagenum="42"/><emph type="italics"/>non po&longs;&longs;o credere, che co&longs;tui del Ar&longs;enale (qual me haueti detto, che è proui&longs;ionate <lb/>dalla &longs;ignoria per far poluere &longs;i fina come gro&longs;&longs;a) non &longs;appia à que fine &longs;e dia co&longs;i la <lb/>grana alla poluere de &longs;chioppo, e de archibu&longs;o, & non à quella dalle artegliarie, et m<gap/><lb/>&longs;ime facendone continuam ente ogni giorno.<emph.end type="italics"/> H. I<emph type="italics"/>o ui &longs;o dir certo, che non ui &longs;a aßi<lb/>gnare altra meglior ragione di quella, che ui ho detta.<emph.end type="italics"/> N. I<emph type="italics"/>nanti che di questa cosa <lb/>ue dica la mia opinione, uoglio che ritornati da lui, & pregarlo di gratia, che ue di<lb/>ca realmente, perche ragione ui da tal grana.<emph.end type="italics"/> H. N<emph type="italics"/>on accade che ui uada altramen<lb/>te, perche io &longs;on certo, che mi replicara el mede&longs;imo, cioe, che tal grana la fa diuentar <lb/>piu gagliarda, e potente.<emph.end type="italics"/> N. S<emph type="italics"/>e pur el ue replica que&longs;to, re&longs;pondetegli in que&longs;to mo <lb/>do, &longs;e tal grana fala poluere piu gagliarda, e potente, mo non &longs;aria benfatto à ingra<lb/>nire anchora quella gro&longs;&longs;a (cioe quella delle artegliarie) per farla diuentare piu ga<lb/>gliarda e potente.<emph.end type="italics"/> H. L<emph type="italics"/>a&longs;&longs;atifar à me, che ui uoglio ritornare (& for&longs;i hoggi) & <lb/>diman ue refferiro quello me hauera ri&longs;po&longs;to.<emph.end type="italics"/></s>

<s>QVESITO DECIMO FATTO DAL MEDESIMO <lb/>H<emph type="italics"/>ieronimo.<emph.end type="italics"/></s>

<s>HIERONIMO. D<emph type="italics"/>apoi che fui partito da uoi hieri, io andai &longs;ubito in lar<lb/>&longs;enale, & andai à ritrouar l'amico, & lo pregai de nouo, che &longs;e lui haueua al<lb/>tra ragione di quella, che lui me haueua detta, che non me la uole&longs;&longs;e cellare, che di cio <lb/>&longs;empre gline re&longs;teria obligatißimo, lui me giuro, che non &longs;apeua altra ragione di quel <lb/>la, che gia me haueua detta, cioe, che la &longs;e ingraniua per augumentarla in uirtu, & po&longs; <lb/>&longs;anza, cioe per farla piu gagliarda, & potente, & io gli dißi quello, che me ordina&longs;ti, <lb/>cioe &longs;el non &longs;aria buono à ingr anire anchora la poluere delle artegliarie, cioe la gro&longs; <lb/>&longs;a, per farla anchor lei piu gagliarda, e potente di quello che la é, lui me ri&longs;po&longs;e, che &longs;i <lb/>andaria à pericolo di far creppar li pezzi, et co&longs;i meri&longs;ol&longs;e.<emph.end type="italics"/> N. V<emph type="italics"/>oi gli doueui pur <lb/>ri&longs;pondere, che &longs;e potriano poi cargare tai pezzi con manco poluere del &longs;olito, & tan <lb/>to &longs;aria auanzato, ouer amente ponerui dentro alquanto manco &longs;alnitrio del &longs;olito.<emph.end type="italics"/><lb/>H. I<emph type="italics"/>o non ho hauuto tanto aui&longs;o di &longs;aperui far tal ri&longs;po&longs;ta, ma che credeti, tutti que<lb/>&longs;ti che fanno poluere, uanno facendo &longs;econdo, che hanno ui&longs;to far alli altri, ouer &longs;econ <lb/>do, che gli è &longs;tato in&longs;egnato, & non &longs;i curano di cercare, ne manco di &longs;apere la cau&longs;a <lb/>delle co&longs;e, che loro fanno, cioe à che fin le faceiano. </s>

<s>Et uoi dir di me, che anchora mi ho <lb/>fatto della poluere gro&longs;&longs;a, e fina, & quando ne faceua de fina, io la ingraniua anchora <lb/>mi, anchor che non &longs;ape&longs;&longs;e, ne anchor &longs;o à que fine la &longs;e ingrani&longs;cha, & que&longs;to faceua, <lb/>perche haueua uisto che tuttili altri co&longs;i faceuano.<emph.end type="italics"/> N. C<emph type="italics"/>redo, che &longs;ia, come uoi di<lb/>ceti.<emph.end type="italics"/> H. D<emph type="italics"/>i gratia ditime la uo&longs;tra opinione circa à que&longs;ta co&longs;a.<emph.end type="italics"/> N. H<emph type="italics"/>auendoui <lb/>qua&longs;i prome&longs;&longs;o de diruela, eglie il douer ch'io ui attenda, & per tanto dico, che da<lb/>poi, che hieri ui parti&longs;ti da me, ho con&longs;iderato &longs;opra di tal co&longs;a, & in effetto ho ritro<lb/>uato, che &longs;olamente la neceßita, ouer commoditaha indutto gli huomini à inue&longs;tigar <lb/>il modo de ingranire la detta poluere de &longs;chioppo, & de archibu&longs;o, & non quella de <lb/>artegliaria, perche la detta poluere granita e molto piu &longs;corrente, de la non gra<lb/>nita alla &longs;imilitudine, che &longs;aria uno pugno di &longs;rcmento, de un pugno de farina,<emph.end type="italics"/><pb/><emph type="italics"/>cioe ponendo &longs;opra una tabula piana un pugno di fromento, & &longs;eparatamente un pu<lb/>gno di farina, & inclinando poi al quanto da una banda la detta tabula, &longs;enza dubbio <lb/>piu facilmente &longs;correra el detto fromento zo&longs;o della detta tabula, di quello fara la det <lb/>ta farina, ma tal farina restara amaccata, & piu immobile, & &longs;e pur anchora lei ui <lb/>&longs;corre&longs;&longs;e per la molta dependetia di tal tabula, la ui &longs;correra qua&longs;i tutta in un colpo, <lb/>& il frumento ui &longs;corrir a à parte a parte, cioe piu di&longs;gregatamente.<emph.end type="italics"/> H. </s>

<s>E <emph type="italics"/>ue ho in<lb/>te&longs;o benißimo, ma che mi gioua quella &longs;ua &longs;correntia.<emph.end type="italics"/> N. M<emph type="italics"/>o <expan abbr="nõ">non</expan> &longs;apeti, che uolendo <lb/>portar un &longs;chioppo, ouer un'archibu&longs;o per &longs;eruir&longs;ene alli bi&longs;ogni, eglie nece&longs;&longs;ario an<lb/>chora portar&longs;e drio della poluere, per poterlo cargar ad ogni &longs;uo piacere, & che tal <lb/>poluere &longs;e porta nelle fia&longs;che, & per cargarli con mi&longs;ura in quelle tai fia&longs;che ui&longs;e fa <lb/>u&longs;cire, come &longs;apeti, un certo canoncino atto a riceuere tanta poluere, quanta ui &longs;i con<lb/>uiene a cargare quel tal &longs;chioppo, ouer archibu&longs;o con un certo ingegno da rechiuderlo <lb/>poi di dentro uia, quando che e pieno, accioche tal poluere non po&longs;&longs;a u&longs;cire fora del ca <lb/>noncino, & ritornar nella fia&longs;cha.<emph.end type="italics"/> H. I<emph type="italics"/>o &longs;o tutte que&longs;te particolarita, &longs;i che non <lb/>accade che uoi me le dicate.<emph.end type="italics"/> N. A<emph type="italics"/>nchor che &longs;o, che uoi le &longs;apeti meglio di me, ue le <lb/>ho uolute dire, accioche meglio me intendiati per l'auenire. </s>

<s>Et per tanto concludo, <lb/>che &longs;e la poluere, che &longs;i mette nelle dette fia&longs;che, non fu&longs;&longs;e granita, con difficulta &longs;e po <lb/>tria fare impire quel tal canoncino, perche nel riuoltar la fia&longs;cha per far impire <lb/>quel tal canoncino la poluere che fu&longs;&longs;e nella detta fia&longs;cha, ca&longs;caria qua&longs;i tutta in un <lb/>tratto &longs;opra alla intrata di tal canoncino, chiudendo, ouer re&longs;&longs;er ando in quello qua&longs;i <lb/>tutto quello aere, che in quello &longs;i troua&longs;&longs;e, per e&longs;&longs;er uodo, el qual aereueneria a impedi <lb/>re lo ingre&longs;&longs;o alla poluere, talmente, che tal canoncino la maggior parte delle uolte &longs;i <lb/>trouaria qua&longs;i uacuo, ouer molto &longs;cemo, la qual co&longs;a non ui occorrera co&longs;i, &longs;e la detta <lb/>poluere &longs;ara granita, perche tal poluere granita &longs;correra nel detto canoncino piu di<lb/>&longs;gregatamente (come fu detto del <expan abbr="from&etilde;to">fromento</expan>, et della farina) la qual di&longs;gregatione dara <lb/>adito a quello aere, che &longs;i ritrouara nel detto <expan abbr="canõcino">canoncino</expan> da poter u&longs;cire, et de intrare ne <lb/>la fia&longs;ca a impire quel loco che occupaua quella poluere, che intrara nel detto <expan abbr="canõci-no">canonci<lb/>no</expan>, e pero el detto <expan abbr="canõcino">canoncino</expan> la maggior parte delle uolte &longs;e trouara pieno, come &longs;i <expan abbr="cõuie">conuie</expan> <lb/>ne, et co&longs;i <21> que&longs;ta cau&longs;a li huomini &longs;ono &longs;tati a&longs;tretti a inui&longs;tigar el modo de ingranire <lb/>la detta poluere de &longs;chioppo, & de archibu&longs;o, & <expan abbr="nõ">non</expan> quella di artegliaria, perche nelle <lb/>artegliarie ui &longs;e mette la poluere <expan abbr="cõ">com</expan> una cazza, come &longs;apeti, et <expan abbr="cõ">com</expan> quella la ui &longs;e porta <21><lb/>fin nel fondo della &longs;ua canna, et pero <expan abbr="nõ">non</expan> importa che tal poluere &longs;ia <expan abbr="&longs;corr&etilde;te">&longs;corrente</expan>, ò <expan abbr="nõ">non</expan> &longs;cor <lb/>rente, anzi &longs;aria co&longs;a &longs;uperflua a ingranire quella delle artigliarie, ma piu, che per ine <lb/>&longs;car quel bu&longs;ettino doue &longs;e da el fuocho alli &longs;chioppi, & alli archibu&longs;i &longs;e costuma por<lb/>tar. </s>

<s>come &longs;apeti, un fia &longs;chettino piccolino pieno di poluer finißima, la qual poluere, &longs;e <lb/>per &longs;orte non fu&longs;&longs;e menutamente granita, la non uoria, ne potria u&longs;cire di quel tal bu&longs;o <lb/>co&longs;i piccolino, <21> le ragioni di &longs;opra dette, e pero fu nece&longs;&longs;ario a farla <expan abbr="minutam&etilde;te">minutamente</expan> grani <lb/>ta, la qual co&longs;a <expan abbr="nõ">non</expan> accade nelle artegliarie, perche, <21> quanto ho inte&longs;o, uoi ue la metteti <lb/><expan abbr="cõ">com</expan> la mano.<emph.end type="italics"/> H. E<emph type="italics"/>glie co&longs;i, & certamente que&longs;te uostre ragioni &longs;ono lo euangelio, ne <lb/>mai haria pen&longs;ato, che per &longs;imel cau&longs;a ui &longs;e li de&longs;&longs;e tal grana, & que&longs;ta co&longs;a la ho acca <lb/>ro piu di dieci &longs;cudi, & pero di que&longs;to ue ne ringratio grandamente.<emph.end type="italics"/></s>

<s>I<emph type="italics"/>l fine del terzo libro.<emph.end type="italics"/></s><pb pagenum="43"/>

<s>LIBRO QVARTO DELLI <lb/>QVESITI ET INVENTIONI DIVERSE, <lb/>DE NICOLO TARTAGLIA.</s>

<s>S<emph type="italics"/>opra l'ordinar delle &longs;chiere, ouer e&longs;&longs;erciti in battaglia &longs;otto <lb/>uarie & diuer&longs;e forme, & del modo de far caminar <lb/>quelli, con altre uarie particolarita.<emph.end type="italics"/></s>

<s>QVESITO PRIMO FATTO DAL <lb/>C<emph type="italics"/>onte Hieronimo da Piagnano.<emph.end type="italics"/></s>

<s>CONTE HIERONIMO. V<emph type="italics"/>olendo io redure una quantita <lb/>de Fanti, ouer un e&longs;&longs;ercito in una battaglia quadra di gente, ue do<lb/>mando in che modo, ouer con che regola potria &longs;apere quanti Fan<lb/>ti &longs;e doueria mettere per fila.<emph.end type="italics"/> N. P<emph type="italics"/>igliando la radice quadrata <lb/>di quel tal numero de Fanti, e tanto quanto &longs;ara quella tal radice, <lb/>tanti Fanti &longs;e ne douera mettere per fila.<emph.end type="italics"/> C.H. D<emph type="italics"/>atime uno e&longs;<lb/>&longs;empio in uno piccolo numero, perche ue intendero meglio.<emph.end type="italics"/> N. <lb/>P<emph type="italics"/>oniamo che &longs;ia. </s>

<s>100. Fanti, dico che uolendoli mettere in una ordinanza, ouer batta<lb/>glia quadra di <expan abbr="g&etilde;te">gente</expan>, il &longs;e debbe cauare la radice quadra de. </s>

<s>100. quala come, &longs;apeti è. <lb/>10. hor dico che mettendo. </s>

<s>10. de questi Fanti per fila faranno file. </s>

<s>10. Fanti per <lb/>fila, le quale. </s>

<s>10. file a&longs;&longs;ettandole ordinatamente l'una drieto all'altra, talmente che tut <lb/>ti li interualli che &longs;ara fra Fante, è Fante, &longs;i dalle bande, come dauanti, & de drio &longs;ia<lb/>no equali, tai. </s>

<s>100. Fanti formaranno una figura quadrata, &longs;i di <expan abbr="g&etilde;te">gente</expan>, come diterre<lb/>no, come di &longs;otto appare in figura.<emph.end type="italics"/></s><figure></figure>

<s>MA <emph type="italics"/>perche in effetto li Fanti po&longs;ti in ordinanza non stanno, ne caminano, come <lb/>di &longs;opra è sta &longs;upposto, cioe in eguale di&longs;tantie, perche ogni Fante (come a&longs;<lb/>&longs;erma Vegetio) uol per larghezza piedi tre, cioe da&longs;palla, à &longs;palla, & per longhez<lb/>za picdi. </s>

<s>7. cioe piedi. </s>

<s>3. dauanti di &longs;e, & piedi. </s>

<s>3. de drio, & un piede uol che occupi la <lb/>&longs;ua per&longs;ona, per la qual co&longs;a la &longs;opra&longs;critta or dinanza, &longs;tando li Fanti &longs;econdo le det-<pb/>te di&longs;tantie ordinarie, non &longs;ara quadrata di terreno anci occupara in longhezza piedi. <lb/>70. & in larghezza &longs;olamente piedi. </s>

<s>30. onde che all'oc chio parera piu che bislonga, <lb/>come di &longs;otto appare in figura.<emph.end type="italics"/></s><figure></figure>

<s>CONTE HIERONIMO. V<emph type="italics"/>e ho inte&longs;o benißimo in quanto à questo, ma <lb/>quando, che tal numero de fanti non fu&longs;&longs;e co&longs;i quadrato, come &longs;aria &longs;e fu&longs;&longs;eno. <lb/>200. fanti, la radice di quali, &longs;e non me inganno, &longs;aria. </s>

<s>14. ma auanzaria. </s>

<s>4. fanti, hor <lb/>come doueria fare in tal ca&longs;o.<emph.end type="italics"/> N. I<emph type="italics"/>n que&longs;to ca&longs;o uoi ne douere&longs;ti pur mettere. </s>

<s>14. per <lb/>fila, & ueneria pur la detta battaglia quadra di gente, &longs;i come la precedente, cioe &longs;ara <lb/>de. </s>

<s>14. file à fanti. </s>

<s>14. per fila, uero è, che ui auanzara, quelli fanti. </s>

<s>4. fuora di tal ordi <lb/>nanza, li quali il Sargente li a&longs;&longs;etta doue à lui pare, fuora di tal ordinanza, ouer che li <lb/>pone for&longs;i nella coda de tal ordinanza.<emph.end type="italics"/> C.H. A<emph type="italics"/>nchor que&longs;ta parte ho inte&longs;a benißi<lb/>mo, ma &longs;e il fu&longs;&longs;e un grande e&longs;&longs;ercito, che mi occorre&longs;&longs;e di mettere pur in forma quadra <lb/>di gente, come doueria procedere.<emph.end type="italics"/> N. P<emph type="italics"/>er il mede&longs;imo modo, e&longs;&longs;empi gratia, ponia<lb/>mo che tal e&longs;&longs;ercito &longs;ia de fanti. </s>

<s>35000. dice che di questi. </s>

<s>35000. fanti uoi ne douetica <lb/>uar la radice quadrata per l'ordine che ue ho in&longs;ignato, & trouareti quella e&longs;&longs;er. </s>

<s>187. <lb/>& auanzara fanti. </s>

<s>31. e per tanto &longs;e douera mettere fanti. </s>

<s>187. per fila, & tal e&longs;&longs;ercito <lb/>uerra in forma quadra di gente, cioe uenira de. </s>

<s>187. file à fanti. </s>

<s>187. per fila, uero è, <lb/>che ui auanzara quelli fanti. </s>

<s>31. detti di &longs;opra, li quali il Sargente li accommoda doue li <lb/>pare, ma io tengo che tai re&longs;idui &longs;empre li pongano nella coda di tal e&longs;&longs;ercito.<emph.end type="italics"/> C. H. <lb/>C<emph type="italics"/>o&longs;i credo anchora io.<emph.end type="italics"/></s>

<s>QVESITO SECONDO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> C. H<emph type="italics"/>ieronimo da Piagnano.<emph.end type="italics"/></s>

<s>CONTE HIERONIMO. M<emph type="italics"/>o occorrendomi à douer condure una quan<lb/>tita de fanti, ouer uno e&longs;&longs;ercito in uiaggio, ouer per camino, ue adimando, come <lb/>&longs;e potria &longs;apere à quanti fanti per fila li &longs;e doueria far caminare, accio che occor<lb/>rendo il bi&longs;ogno, &longs;e pote&longs;&longs;ono mettere in un &longs;ubijo in battaglia quadra di gente, & che<emph.end type="italics"/><pb pagenum="44"/><emph type="italics"/>la bandera &longs;e ueni&longs;&longs;e à ritrouare nel meggio de tal ordinanza, ouer battaglia.<emph.end type="italics"/> N. <lb/>P<emph type="italics"/>er &longs;aper far questa co&longs;a con pre&longs;tezza, &longs;ubito pigliati la radice quadra di quella tal <lb/><expan abbr="quãtita">quantita</expan> de fanti, et &longs;e tal radice &longs;ara diui&longs;ibile per tre, <expan abbr="tãto">tanto</expan> <expan abbr="quãto">quanto</expan> &longs;ara la detta terza par <lb/>te di tal radice, à tanti per fila &longs;e douera far caminar li detti fanti per camino.<emph.end type="italics"/> C.H. <lb/>D<emph type="italics"/>e gratia datime un e&longs;&longs;empio, & in piccol numero, perche meglio ue intendero, in uno <lb/>numero piccolo, che in uno grande.<emph.end type="italics"/> N. P<emph type="italics"/>oniamo per e&longs;&longs;empio, che li fanti, che &longs;e ha <lb/>da condur, &longs;iano fanti. </s>

<s>81. dico che il &longs;i debbe tuor la radice de. </s>

<s>9. & per<lb/>che que&longs;ta tal radice è diui&longs;ibile per tre, & la &longs;ua terza parte è tre, e per tanto dico che <lb/>li detti fanti. </s>

<s>81. &longs;i debbono far caminar per uiaggio à tre fanti per fila, & far anno in <lb/>tutto file. </s>

<s>27. come qui &longs;otto appare.<emph.end type="italics"/></s><figure></figure>

<s>E<emph type="italics"/>t quando l'occorre&longs;&longs;e el bi&longs;ogno di uolerli redure in battaglia quadra tutte que&longs;te. </s>

<s>27. <lb/>file &longs;i debbono &longs;membrare in tre parti eguale, come dimo&longs;tra. </s>

<s>che in ogni <lb/>parte uenira à re&longs;tare. </s>

<s>9. file à tre fanti per fila, & dapoi il &longs;i debbe far fermar la pri<lb/>ma parte uer&longs;o la fronte, & che le altre due procedano auanti dalla banda de&longs;tra, ouer <lb/>&longs;ini&longs;tra della prima (gia fermata) per fina à tanto che la te&longs;ta, ouer fronte della &longs;econ<lb/>da parte &longs;e uni&longs;ca con la te&longs;ta, ouer fronte della prima, & iui fermar&longs;e, & fermata la <lb/>prima, & &longs;econda parte &longs;i debbe far il mede&longs;imo con la terza parte, cioe farla camina<lb/>re, e procedere à canto della &longs;econda parte (gia fermata) per fina à tanto che la &longs;ua te<lb/>&longs;ta, ouer fronte &longs;e uni&longs;ca con la testa, ouer fronte della prima, & &longs;econda (come nella <lb/>&longs;otto&longs;critta figura.<emph.end type="italics"/></s><figure></figure>

<s>L<emph type="italics"/>e qual tre parti co&longs;i redutte, & a&longs;&longs;ettate, haueranno redutta tal battaglia in forma <lb/>quadra di gente, come di &longs;otto appare in figura, & per far che la bandiera ca&longs;chinel <lb/>meggio di tal battaglia &longs;empre la &longs;e debbe a&longs;&longs;ettar nel meggio della &longs;econda parte, co<lb/>me di&longs;opra appare in ponto.<emph.end type="italics"/> B. E<emph type="italics"/>t bi&longs;ogna auertire che anchor che tal figura &longs;ia qua<lb/>dra di terreno, come &longs;en&longs;ibilmente &longs;i uede, nondimeno in atto proprio tal figura &longs;e <lb/>trouora occupare per longhezza predi. </s>

<s>63. & per larghezza piedi uenti&longs;ette, <pb/>(per le ragion adutte nel pre&longs;ente que&longs;ito) le qual di&longs;tantie <lb/>non hauemo o&longs;&longs;eruate, ne anchora &longs;e o&longs;&longs;eruara nella mag<lb/>gior parte delle figure che hanno da uenire, per che occupa<lb/>riano troppo gran &longs;pacio.<emph.end type="italics"/> C.H. Q<emph type="italics"/>ue&longs;to non me impor<lb/>ta, ma ditemi pur, come &longs;e potra &longs;aper, ouer cono&longs;cer li luo<lb/>chi doue &longs;e debbia &longs;membrare le dette. </s>

<s>27. file in tre parte <lb/>eguale, &longs;enza &longs;tare à numerare le dette file à. </s>

<s>9. per che quan <lb/>do che il fu&longs;&longs;e una gran quantita de fanti &longs;aria co&longs;a molto lon <lb/>ga.<emph.end type="italics"/> N. I<emph type="italics"/>o ho inte&longs;o che ogni quantita de fanti ui &longs;e li da una<emph.end type="italics"/><lb/><figure id="fig7"></figure><lb/><emph type="italics"/>fila de archibu&longs;eri nella fronte, & un'altra nelle &longs;palle che in que&longs;ti &longs;opra&longs;critti fanti. <lb/>81. ui uorria. </s>

<s>18. archibu&longs;eri, cioe 9. nella fronte, &. </s>

<s>9. nella coda, & per tanto nelli luo <lb/>chi doue &longs;e doueria far la diui&longs;ione ui metteria due file de archibu&longs;eri, come di&longs;otto ap <lb/>pare in figura, intendendo li archibu&longs;eri per que&longs;ta lettera o.<emph.end type="italics"/></s><figure></figure>

<s>L<emph type="italics"/>i quali archibu&longs;eri ui auertir anno &longs;empre delli luochi doue &longs;e douer anno &longs;membr are <lb/>le dette file. </s>

<s>27. & co&longs;i in ogni altro maggior numero.<emph.end type="italics"/> C.H. E<emph type="italics"/>ue ho inte&longs;o be&longs;iißi<lb/>mo, fin qua, ma uorria che me dicesti, come &longs;e doueria procedere quando che la radice <lb/>de detti fanti non &longs;i pote&longs;&longs;e diuidere in tre partieguale.<emph.end type="italics"/> N. Q<emph type="italics"/>uando che tal radice <lb/>non è diui&longs;ibile in tre parti eguali, io non &longs;o come &longs;e procedano li periti Sargenti, ma <lb/>ben ue diro in che modo in tal ca&longs;o, &longs;e potria procedere, il qual modo, &longs;e il &longs;ara per ca<lb/>&longs;o &longs;imil à quello che lor co&longs;tumano, io lo hauero accaro, & &longs;e per ca&longs;o il &longs;ara meglio di <lb/>quello che lor co&longs;tumano, io lo hauero molto piu accaro, & &longs;e per ca&longs;o il &longs;ara peggio<lb/>re, imputareti la mia poca pratica, ouer i&longs;perientia di tal e&longs;&longs;ercitio. </s>

<s>Dico adunque che <lb/>quando la radice di detti fanti non &longs;ia diui&longs;ibile in tre parti eguali, nece&longs;&longs;ariamente in <lb/>tal diui&longs;ione auanzara uno, ouer dui, hor pigliamo prima per e&longs;&longs;empio quella che auan <lb/>za &longs;olamente uno, come &longs;aria &longs;e fu&longs;&longs;eno fanti. </s>

<s>100. la radice di quali è. </s>

<s>10. <lb/>partendolo per. </s>

<s>3. & auanza uno, hor dico che io faria caminar diece file, à <lb/>tre, à tre (cioe tante file quanto è il numero della radice) & altre diece file, à quattro, <lb/>à quattro, & altre diece pur à tre, à tre, come qui &longs;otto appare con li &longs;uoi. </s>

<s>20. archi<lb/>bu&longs;i oltra li detti. </s>

<s>100. fanti.<emph.end type="italics"/></s><figure></figure>

<s>E<emph type="italics"/>t queste tre parti, quando l'occorre&longs;&longs;e di uolerli redur in battaglia quadra di gente, <lb/>&longs;e procedaria, &longs;i come di &longs;opra, cioe far affermar la prima parte uer&longs;o la fronte, &<emph.end type="italics"/><pb pagenum="45"/><emph type="italics"/>fermata che &longs;ia far procedere auanti la &longs;econda anchor la terza per fina à tanto che la <lb/>te&longs;ta, ouer fronte della &longs;econda parte &longs;e &longs;ia unita con la te&longs;ta, ouer fronte della prima, <lb/>& co&longs;i fermata la detta &longs;econda parte, far procedere auanti, per el mede&longs;imo modo an <lb/>chor la terza parte, la qual co&longs;a <expan abbr="fac&etilde;do">facendo</expan> &longs;e uedera e&longs;&longs;er redutta tal battaglia in forma <lb/>quadra di gente, come di &longs;otto appare con li &longs;uoi archibu&longs;eri alla fronte, et alle &longs;palle.<emph.end type="italics"/></s><figure></figure>

<s>M<emph type="italics"/>a quando che nel partire la detta radice auanza&longs;&longs;e. </s>

<s>2. come &longs;aria, quando che li fan <lb/>ti fu&longs;&longs;eno. </s>

<s>121. la radice di quali è. </s>

<s>11. partendolo per tre, ne uien tre, & <lb/>auanza. </s>

<s>2. (come habbiamo detto) dico che in que&longs;to ca&longs;o, & in altri &longs;imili io faria ca <lb/>minare. </s>

<s>11. file (cioe tante quanto è la radice) à. </s>

<s>4. fanti per fila, & altre. </s>

<s>3. <lb/>fanti per fila, & altri. </s>

<s>4. fanti per fila, come di &longs;otto appar in figura <expan abbr="cõ">com</expan> <lb/>li &longs;uoi. </s>

<s>22. archibu&longs;eri oltra li detti fanti. </s>

<s>121. li quali fanti ogni uolta che &longs;e uole&longs;&longs;eno<emph.end type="italics"/><lb/><figure id="fig8"></figure><lb/><emph type="italics"/>redure in battaglia quadra di gente &longs;e procederia, come di &longs;opra fu fatto.<emph.end type="italics"/> C.H. Q<emph type="italics"/>ue <lb/>&longs;to uo&longs;iro di&longs;cor&longs;o non me di&longs;piace, anchor che tai tre parti per e&longs;&longs;ere di&longs;eguale, par <lb/>che di&longs;dicano a&longs;&longs;ai, ma diteme un poco que&longs;ta regola &longs;eruila co&longs;i in ogni gran numero <lb/>de fanti.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio, che la &longs;eruira in ogni numero, &longs;i quadrato, come <expan abbr="nõ">non</expan> qua<lb/>drato.<emph.end type="italics"/> C.H. D<emph type="italics"/>atime un'e&longs;&longs;empio in parole &longs;olamente.<emph.end type="italics"/> N. P<emph type="italics"/>oniamo per e&longs;&longs;empio, <lb/>che &longs;iano fanti. </s>

<s>3969. delli quali uolendo uoi&longs;apere à quanti fanti per fila uoi li debbia<lb/>ti far caminar per camino, accioche &longs;iano commodi à poterli in un &longs;ubito mettere in <lb/>battaglia quadra di gente, dico che de que&longs;ti tai fanti uoi debbiati pigliar la radice qua <lb/>drata (per el, modo che ui ho in&longs;ignato) quala trouareti e&longs;&longs;er. </s>

<s>63. fanti &longs;ara per <lb/>fila tutta la battaglia in quadro di gente, & perche questa radice (cioè. </s>

<s>63.) è diui&longs;ibi<lb/>le in tre parti equale, ne pigliareti el terzo (per regola ferma) qual &longs;ara. </s>

<s>21. & co&longs;i à <lb/>21. fante per fila uoi li douete far caminare in camino.<emph.end type="italics"/> C.H. M<emph type="italics"/>o quante file potro <lb/>io &longs;apere che &longs;iano in tutto co&longs;i à. </s>

<s>21. fante per fila.<emph.end type="italics"/> N. S<emph type="italics"/>empre &longs;ar anno el treppio<emph.end type="italics"/><pb/><emph type="italics"/>della uo&longs;ira radice, cioe el treppio de &longs;e&longs;&longs;antatre, che &longs;aria. </s>

<s>189. file à fanti. </s>

<s>21. <lb/>per fila ue ne peruenira.<emph.end type="italics"/> C.H. D<emph type="italics"/>oue &longs;apro io doue &longs;e debbia mettere quelle due, & <lb/>due file de archibu&longs;eri, per cogno&longs;cere el luoco doue &longs;e debbia &longs;membrare in tre par<lb/>te per metter li in battaglia quadra di gente.<emph.end type="italics"/> N. L<emph type="italics"/>a uo&longs;tra radice (cioe &longs;e&longs;&longs;antatre) <lb/>ui da el tutto, cioe, che tal diui&longs;ione &longs;e fa alle. </s>

<s>63. file talmente, che la prima par<lb/>te &longs;ara de &longs;e&longs;&longs;antatre file, & co&longs;i etiam la &longs;econda, & la terza.<emph.end type="italics"/> C.H. V<emph type="italics"/>e ho inte&longs;o be <lb/>nißimo in quanto a questa parte, e pero &longs;eguitate.<emph.end type="italics"/> N. M<emph type="italics"/>a&longs;e nel partire la uo&longs;tra ra<lb/>dice per tre ui auanza&longs;&longs;e uno (come accaderia &longs;e li propo&longs;ti fanti fu&longs;&longs;eno. </s>

<s>5776. che la <lb/>radice di quelli &longs;aria &longs;ettanta&longs;ei, la qual radice diuidendola per tre, ne ueneria. </s>

<s>25. & <lb/>auanzeria uno: hor dico, che tutte le file, che reu&longs;ciran de que&longs;ti tai fanti &longs;ar anno pur <lb/>el treppio della radice, cioe el treppio de &longs;ettanta&longs;ei, che &longs;aria. </s>

<s>228. & perche tutta <lb/>que&longs;ta fila de file ua diui&longs;a &longs;empre in tre parti (come di&longs;opra fu detto, etiam fatto) a <lb/>&longs;ettanta &longs;ei file per parte (cioe tanto quanto e la no&longs;traradice) hor dico, che la prima, <lb/>& la ultima de que&longs;te tre parte, &longs;i debbano far caminar a uinticinque fanti per fila, <lb/>cioe quanto che é il terzo della no&longs;tra radice, & perche el ne auanzo uno (come di &longs;o<lb/>pra appare) dico che quel tal. </s>

<s>1. &longs;i debbe mettere &longs;empre nella &longs;econda parte, cioe in <lb/>quella di mezzo, cioe facendo caminar quelli della detta &longs;econda parte à. </s>

<s>26. fanti per <lb/>fila, talmente, che la prima, & la ultima parte della gran fila delle file, &longs;aranno à. </s>

<s>25. <lb/>fanti per fila, & la &longs;eeonda parte &longs;ara de fanti. </s>

<s>26. per fila, & il mede&longs;imo &longs;i debbe fa <lb/>re in ogni altra radice, che partita per. </s>

<s>3. ue auanzi &longs;olamente. </s>

<s>1. ma quando l'auan<lb/>za&longs;&longs;e. </s>

<s>2. &longs;eguita tutto al contrario, cioe, che la prima, & la ultima parte uuol e&longs;&longs;er de <lb/>uno fante de piu, di quello &longs;ara el terzo della nostra radice, come, e&longs;&longs;empi gratia &longs;e li <lb/>detti fanti fu&longs;&longs;eno. </s>

<s>2809. la &longs;ua radice &longs;ara. </s>

<s>53. la qual partita per tre, ne uien. </s>

<s>17. & <lb/>auanza. </s>

<s>2. e per <expan abbr="tãto">tanto</expan> dico, che tai fanti &longs;e ne formara file.<emph.end type="italics"/> 159. (<emph type="italics"/>cioe el treppio de.<emph.end type="italics"/> 53.) <lb/><emph type="italics"/>le quale file. </s>

<s>159. diuidendole pur i tre parti, ne uenira. </s>

<s>53. per parte, cioe el numero del <lb/>la radice, & la prima, & terza parte uol e&longs;&longs;er de uno fante de piu del terzo della no<lb/>&longs;tra radice, cioe uoleno e&longs;&longs;er de fanti. </s>

<s>18. per fila, & la &longs;econda parte, cioe la parte de <lb/>mezzo, uol e&longs;&longs;er puramente el terzo della nostra radice, cioe de fanti. </s>

<s>17. per fila tal<lb/>mente, che de tutte le. </s>

<s>159. file, le prime. </s>

<s>53. file, & co&longs;i le ultime. </s>

<s>53. file uoranno e&longs;&longs;er <lb/>de fanti. </s>

<s>53. file di mezzo uoranno e&longs;&longs;er &longs;olamente de fanti. </s>

<s>Et in quella che nel partire la radice per. </s>

<s>3. auanza &longs;olamente uno ua al contrario <lb/>di que&longs;ta, cioe, che la prima, & terza parte della detta gran fila delle file, uoleno &longs;em<lb/>pre tanti fanti per fila, quanto &longs;ara la terza parte integra della nostra radice, & la <lb/>parte di mezzo, cioe la &longs;econda uora uno fante de piu del ditto terzo della nostra radi <lb/>ce. </s>

<s>Et perche mai puo auanzar piu che uno, ouer dui, à partire la detta no&longs;tra radice <lb/>per. </s>

<s>3. le dette nostre regole ue &longs;atisfar anno in ogni quantita de fanti &longs;i quadrata, ouer <lb/>non quadrata, perche, come di &longs;opra fu detto, nelle quantita, ouer numerinon quadra<lb/>ti, &longs;empre &longs;e piglia la radice propinqua di quel tal numero, & di quella &longs;e ne &longs;erue, co <lb/>me di &longs;opra è &longs;tato detto, & de quello re&longs;iduo, ouer &longs;uperfluo de fanti, che &longs;operchia&longs;<lb/>&longs;eno el quadrato di tal radice el &longs;argente li a&longs;&longs;etta &longs;econdo el &longs;uo parere, e&longs;&longs;empi gra<lb/>tia, &longs;e li detti fanti fu&longs;&longs;eno quattromilla, el qual numero non è quadrato, nondimeno di <lb/>co, che di quello &longs;e debbia cauar la &longs;ua radice propinqua, la quale &longs;ara<emph.end type="italics"/> 63. (<emph type="italics"/>uero è, che<emph.end type="italics"/><pb pagenum="46"/><emph type="italics"/>auanzara fanti.<emph.end type="italics"/> 31.) <emph type="italics"/>& di tal radice &longs;eruir&longs;ene &longs;econdo il &longs;uo uolere, e&longs;&longs;empi gratia, uo <lb/>lendoli de &longs;ubito mettere in btttaglia quadra di gente, &longs;e ne doueria mettere &longs;e&longs;&longs;anta<lb/>tre fanti per fila, & tal battaglia uenira quadra di gente, come nel primcipio fa det<lb/>to, uero è, che ui auanzaria fora di tal ordinanza quelli fanti. </s>

<s>31. li quali il &longs;argente li <lb/>a&longs;&longs;ettara &longs;econdo el &longs;uo uolere, &longs;imilmente uolendo mettere li detti fanti quattro mille <lb/>in camino &longs;e die pur tore la detta &longs;ua radice propinqua, la quale, come detto è &longs;e&longs;&longs;anta <lb/>tre, la qual partendola per tre, ne uien. </s>

<s>21. & non auanza co&longs;a alcuna, e per tanto gli <lb/>detti fanti &longs;i debbouo far caminare à fanti. </s>

<s>21. per fila, & partire le dette file in tre <lb/>parte à. </s>

<s>63. file per parte, uero é, che la ultima parte uerra à e&longs;&longs;er de. </s>

<s>10. fanti de piu (per quelli fanti. </s>

<s>31. che auanzorno in principio, li quali (come è <lb/>detto) re&longs;tar anno fora della ordinanza, &longs;econdo il parere del &longs;argente, & per lo me<lb/>de&longs;imo modo &longs;e procedaria, quando che la radice di tal numero non quadrato non re<lb/>ceue&longs;&longs;e la perfetta diui&longs;ion per tre, cioe, &longs;el auanza&longs;&longs;e uno, procedere, come di &longs;opra <lb/>dißi, cioe dar uno fante de piu per fila alla parte di mezzo, & alle altre due parti, <lb/>cioe alla prima, & alla terza porui &longs;olamente tanti fanti per fila, quanto &longs;ara la ter<lb/>za parte della nostra radice, & quando auanza&longs;&longs;e. </s>

<s>2. procedere al contrario, cioe <lb/>dar uno fante per fila de piu alla prima, & alla terza parte, & alla &longs;econda porui &longs;ola <lb/>mente tanti fanti per fila, quanto &longs;ara el terzo della no&longs;tra radice, & quelli fanti che <lb/>fu&longs;&longs;eno auanzati nel cauar della radice in principio, a&longs;&longs;ettarli, come di &longs;opra è &longs;tato <lb/>detto.<emph.end type="italics"/> C.H. N<emph type="italics"/>on procedati piu oltra, che ue ho inte&longs;o benißimo.<emph.end type="italics"/></s>

<s>QVESITO TERZO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> C.H<emph type="italics"/>ieronimo da Piagnano.<emph.end type="italics"/></s>

<s>CONTE HIERONIMO. I<emph type="italics"/>o adimandai una uolta à uno famo&longs;o Sargen<lb/>te, come ordinaria una battaglia de. </s>

<s>1000. fanti, lui me ri&longs;po&longs;e, che lui faria el fi <lb/>le de fanti. </s>

<s>49. per te&longs;ta, hor ue adimando, uolendo io ordinare una battaglia &longs;imile à <lb/>que&longs;ta de una altra maggiore, ouer menore quantita de fanti, come me doueria gouer<lb/>nare.<emph.end type="italics"/> N. Q<emph type="italics"/>uadrati quello numero de. </s>

<s>49. cioe multiplicatilo in &longs;e mede&longs;imo, che fara <lb/>2401. & que&longs;to. </s>

<s>2401. moltiplicareti fia quella quantita de fanti, che uoreti mettere <lb/>in battaglia, & quel produtto, partiritele per el uo&longs;tro. </s>

<s>1000. & la radice di que&longs;to <lb/>aduenimento &longs;ara nel numero di fanti, che douereti metter in cadauna fila per te&longs;ta, <lb/>e&longs;&longs;empigratia, &longs;e quelli fanti, che de&longs;iderareti di mettere in una battaglia &longs;imile fu&longs;<lb/>&longs;eno. </s>

<s>2500. multiplicati que&longs;ti fanti. </s>

<s>2401. cioe per el quadrato de. </s>

<s>8403500. & que&longs;to tal produtto, partireti per el uo&longs;tro. </s>

<s>1000. ne uenira. </s>

<s>8403. <lb/>(la&longs;&longs;ando el rotto, perche uno huomo non &longs;i puo &longs;pezzare, che non peri&longs;ca el tutto,) <lb/>& di que&longs;to. </s>

<s>8403. ne cauareti la radice, la qual &longs;ara. </s>

<s>91. & auanzara. </s>

<s>112. & fanti <lb/>91. douereti mettere in cadauna fila per te&longs;ta, & per fianco ne uerra à e&longs;&longs;er fanti. </s>

<s>38. <lb/>uero è che anchor ne auanzara fora fanti. </s>

<s>42. quali non compir anno la ultima fila de <lb/>drio. </s>

<s>Et con &longs;imel ordine uoi procedareti in ogni altra maggior, ouer menor quantita.<emph.end type="italics"/><lb/>C.H. V<emph type="italics"/>eho inte&longs;o benißimo, & questa uo&longs;tra regola la ho piu accara, che co&longs;a, che <lb/>me habbiati in&longs;egnato, perche me gli &longs;on affaticato molti giorni, per trouarui rego<lb/>la, & mai ue la ho potuta ritrouare.<emph.end type="italics"/></s><pb/>

<s>QVESITO QVARTO FATTO DAL SARGENTE <lb/><emph type="italics"/>maggiore del Duca di Vrbino.<emph.end type="italics"/></s>

<s>SARGENTE. C<emph type="italics"/>ome ordinare&longs;ti una battaglia quadra di terreno, & non di <lb/>gente.<emph.end type="italics"/> N. V<emph type="italics"/>olendo limitar à cadauno fante piedi. </s>

<s>7. per <expan abbr="lõghezza">longhezza</expan>, & piedi. </s>

<s>3. <lb/>per larghezza (come uol Vegetio) cioe piedi. </s>

<s>3. dauanti, & piedi. </s>

<s>et piedi. </s>

<s>1. <lb/>uol che occupi la &longs;ua per&longs;ona, che in &longs;umma &longs;arian piedi. </s>

<s>7. in lungo, et da &longs;palla à &longs;pal <lb/>la uol che occupi piedi. </s>

<s>3. come di &longs;opra è detto, io procedaria in que&longs;to modo multipli <lb/>carei quella quantita de fanti, che de&longs;idera&longs;&longs;e di metter in battaglia, per el quadrato <lb/>de &longs;ette. </s>

<s>49. & quel produtto parteria per. </s>

<s>21. & quanto fu&longs;&longs;e la radice di <lb/>tal aduenimento, tantifanti mettaria in cadauna fila per te&longs;ta, e&longs;&longs;empi gratia, &longs;el fu&longs;&longs;e <lb/>fanti. </s>

<s>3600. li quali de&longs;ideraßi di mettere in battaglia quadra di terreno, & non di <lb/>gente, io moltiplicaria li detti fanti. </s>

<s>3600. per el quadrato de. </s>

<s>49. fariano <lb/>176400. & que&longs;to produtto lo parteria per. </s>

<s>21. del qual partimento ne ueneria <lb/>8400. & di que&longs;to <expan abbr="aduenim&etilde;to">aduenimento</expan> ne cauaria la radice, laqnal &longs;aria.<emph.end type="italics"/> 91. (<emph type="italics"/>uero è che auan <lb/>zaria.<emph.end type="italics"/> 119.) <emph type="italics"/>& de fanti. </s>

<s>91. faria le file per te&longs;ta, uero è che la maggior parte delle uol <lb/>te nella coda ui re&longs;tara una fila non compita, cioe imperfetta, perche li numeri rare <lb/>uolte ne &longs;eruano preci&longs;amente &longs;econdo el no&longs;tro intento, &longs;i, come anchora occorre nel <lb/>fare le battaglie quadre di gente, cioe, che la maggior parte delle uolte ne <expan abbr="auãza">auanza</expan> qual <lb/>che fante de piu, tamen una fila de piu, ouer de manco, non fa error troppo apparente.<emph.end type="italics"/><lb/>S. D<emph type="italics"/>oue cauati quel. </s>

<s>21. con el quale uoi parteti quella uo&longs;tra multiplicatione.<emph.end type="italics"/> N. <lb/>I<emph type="italics"/>o imagino una battaglia de tre file a fanti. </s>

<s>7. per fila, la qual batt aglia &longs;aria quadra di <lb/>terreno, perche le tre file in longo <expan abbr="uorãno">uoranno</expan> piedi. </s>

<s>21. di terreno (a piedi. </s>

<s>7. per fila fra <lb/>dauanti, & de drio con quel piede, che occupa ogni fila, & &longs;imelmente li fanti. </s>

<s>7. in lar <lb/>ghezza uoranno mede&longs;imamente piedi. </s>

<s>21. di terreno a piedi. </s>

<s>3. per fante, onde&longs;e tal <lb/>battaglia occupa piedi. </s>

<s>21. di terreno in ogni uer&longs;o la &longs;ara quadra di terreno, & tutta <lb/>tal battaglia contenera fanti. </s>

<s>21. & que&longs;ti fanti. </s>

<s>21. me ne &longs;eruo per partitore nella &longs;o <lb/>pra&longs;critta mia operatione.<emph.end type="italics"/> S. S<emph type="italics"/>ta benißimo.<emph.end type="italics"/></s>

<s>QVESITO QVINTO FATTO DAL S. GABRIEL <lb/>T<emph type="italics"/>admo da Martinengo, Cauallier de Rhodi, <lb/>e Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. D<emph type="italics"/>apoi che &longs;opra la compo&longs;itione della poluere non ui habbiamo <lb/>altro che dire, per non star ocio&longs;i dapoi la no&longs;tra lettione di Euclide, uoglio che <lb/>ragionamo un poco del modo de ordinare li e&longs;&longs;erciti in battaglia, & maßime in alcu<lb/>ne ingenio&longs;e forme, u&longs;itate da no&longs;tri antiqui, el qual modo, alli pre&longs;enti tempi, par &longs;ia <lb/>totalmente per&longs;o, & anullato, per non trouar&longs;e alcuno autore antiquo, ne moderno, <lb/>che ne dia el modo, ouer regola di &longs;aperli ordinare, & que&longs;te tai figure, ouer forme &longs;o <lb/>no el cuneo, la forfice, la &longs;erra, el <expan abbr="rh&utilde;bo">rhumbo</expan>, el cerchio, et la forma lunare, uero è che el ual <lb/>lo ha posto alcune str anie &longs;orme di battaglie, ma rare di quelle è che &longs;ia atta a poter ca <lb/>minare, che <expan abbr="nõ">non</expan> ui &longs;egua immediate di&longs;ordine, <21> che ogni ordinata battaglia &longs;e la debbe<emph.end type="italics"/><pb pagenum="47"/><emph type="italics"/>e&longs;&longs;er atta à poter caminare in quel tal ordine eglie nece&longs;&longs;ario che ogni fante habbia uno <lb/>altro fante in debita di&longs;tantia, che ui camini auanti di &longs;e, eccetto quelli della prima fron <lb/>te, & co&longs;i un'altro per banda, eccetto quelli che &longs;ono nei fianchi, et co&longs;i un'altro de drio <lb/>eccetto la ultima fila, perche ogni fante nel caminare &longs;e regge dal &longs;uo compagno che gli <lb/>camina auanti di &longs;e, eccetto quelli della prima fila, e pero &longs;e una ordinanza uorra cami <lb/>nare, & che tutti li fanti non habbiano un'altro fante, che gli camini auanti di &longs;e nella <lb/>&longs;ua debita di&longs;tantia, accettuando quelli della prima fronte, &longs;ubito tal ordinanza uerra <lb/>in confu&longs;ione.<emph.end type="italics"/> N. C<emph type="italics"/>redo che &longs;ia co&longs;i, perche ogni fante piglia la meta nel &longs;uo cami<lb/>nare pian, e forte, dal compagno che gli camina auanti, eccetto quelli che &longs;ono nella pri <lb/>ma fila della fronte, li quali non &longs;i reggono da niuno nel caminare, ancitutte le altre fi<lb/>le &longs;e reggono da quella &longs;ola.<emph.end type="italics"/> P. C<emph type="italics"/>o&longs;i è, hor dapoi che uedo che haueti inte&longs;o la mia o<lb/>pinione, ue adimando, come &longs;e douera procedere, uolendo ordinare una quantita de fan <lb/>ti, ouer uno e&longs;&longs;ercito in forma cunea, ouer triangolare talmente che fu&longs;&longs;eno atti à po<lb/>ter caminare uer&longs;o la ponta de tal cuneo, cioe che tal ordinanza po&longs;&longs;a caminare con la <lb/>ponta di tal cuneo uer&longs;o li nemici.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;ta forma di ordinanza, ouer di battaglia <lb/>na&longs;ce, ouer &longs;e forma dalla progreßione a&longs;cendente per numero binario, cominciando <lb/>dalla unita, cioe ponendo prima un fante, & dapoi. </s>

<s>3. & dapoi. </s>

<s>5. & dapoi. </s>

<s>7. & dapoi. <lb/>9. & dapoi. </s>

<s>11. & co&longs;i andar procedendo, & accre&longs;cendo &longs;empre dui fanti de piu, per <lb/>fina à tanto che non ui &longs;ia piu fanti, uero è, che potria e&longs;&longs;er tal numero de fanti, che in <lb/>ultimo non potranno, ouer non &longs;aranno &longs;officienti à compir la ultima fila, ilche e&longs;&longs;en<lb/>do &longs;e potriano la&longs;&longs;ar co&longs;i fuora della ordinanza da &longs;eruir&longs;ene &longs;econdo parera al buon <lb/>Sargente, perche tal co&longs;a occorre la maggior parte delle uolte, & in ogni &longs;pecie de or<lb/>dinanza, cioe che &longs;empre ui re&longs;ta qualche fante fuora di tal ordinanza.<emph.end type="italics"/> P. C<emph type="italics"/>redo <lb/>que&longs;to che uoi diceti, ma datime uno e&longs;&longs;empio in figura &longs;opra tal materia, & in piccol <lb/>numero, perche nelli numeri piccoli meglio &longs;e intende la co&longs;a.<emph.end type="italics"/> N. P<emph type="italics"/>oniamo che li fan <lb/>ti che de&longs;ideriamo di mettere in battaglia cunea &longs;iano. </s>

<s>100. dico che prima &longs;e ne pon<lb/>ga uno, dapoi. </s>

<s>3. dapoi. </s>

<s>5. dapoi. </s>

<s>7. dapoi. </s>

<s>9. dapoi. </s>

<s>11. & co&longs;i andar procedendo &longs;empre <lb/>mettendoui. </s>

<s>2. fanti de piu per fina à tanto che ue &longs;ia fanti, come di &longs;otto appare in fi<lb/>gura, onde la ultima fila, in que&longs;to ca&longs;o uenira à e&longs;&longs;er de fanti. </s>

<s>19. & non ui auanzara <lb/>alcun fante, & que&longs;to è, perche il numero delli fanti (cioe il. </s>

<s>100.) è numero quadrato,<emph.end type="italics"/><lb/><figure id="fig9"></figure><pb/><emph type="italics"/>& co&longs;i in ogni altro numero, che &longs;ia quadrato &longs;e formara il detto cuneo &longs;enza alcuno <lb/>&longs;oprauanzamento de fanti, ma &longs;e il detto numero de fanti non &longs;ara numero quadrato <lb/>&longs;empre ui auanzara tanti fanti, quanto che il detto numero de fanti auanzara il mag<lb/>gior numero quadrato contenuto da quello, e&longs;&longs;empi gratia &longs;e gli propo&longs;ti fanti da far <lb/>il cuneo fu&longs;&longs;eno. </s>

<s>120. dico che ui auanzara. </s>

<s>20. fanti fuora della ordinanza del cuneo, <lb/>cioe tanti quanto che. </s>

<s>120. eccede el. </s>

<s>100. (maggior numero quadrato contento da <lb/>quello) che &longs;aria pur. </s>

<s>20. ma fe gli detti fanti fu&longs;&longs;eno. </s>

<s>123. ui auanzaria &longs;olamente fan <lb/>ti. </s>

<s>2. perche il maggior numero quadrato contenuto da. </s>

<s>123. &longs;aria. </s>

<s>123. <expan abbr="auã">auam</expan> <lb/>za il detto. </s>

<s>121. nel detto. </s>

<s>2. & questo mede&longs;imo &longs;i debbe intendere in ogni gran nu<lb/>mero.<emph.end type="italics"/> P. E<emph type="italics"/>ue ho inte&longs;o benißimo, & me ba&longs;ta a&longs;&longs;ai per que&longs;ta &longs;era.<emph.end type="italics"/></s>

<s>QVESITO SESTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. C<emph type="italics"/>ome &longs;e potria formar quella figura chiamata la forfice, la quale <lb/>u&longs;auano gliantichi per opponere alla forma cunea.<emph.end type="italics"/> N. L<emph type="italics"/>a forfice &longs;e costitui&longs; <lb/>&longs;e con due forme cunee congionte per tuor la detta figura cunea in meggio.<emph.end type="italics"/> P. D<emph type="italics"/>ati<lb/>me uno e&longs;&longs;empio figurale, & in piccol numero.<emph.end type="italics"/> N. L<emph type="italics"/>o e&longs;&longs;empio di questa lo uoglio <lb/>adure nel mede&longs;i no numero de fanti. </s>

<s>100. con che fu fatto il cuneo, accio che quella <lb/>po&longs;&longs;a far giudicio, &longs;e il fu&longs;&longs;e dui e&longs;&longs;erciti eguali de quantita de fanti, & che l'uno for<lb/>ma&longs;&longs;e il cuneo, & l'altro la forfice, qual de loro haueria auantaggio, dico adunque che <lb/>e&longs;&longs;endo fanti. </s>

<s>100. & uolendo de quelli formare la forfice, li &longs;e debbono diuidere in due <lb/>parti eguali, che ne ueneria. </s>

<s>50. per parte, & de cadauna de que&longs;te parti &longs;e ne debbe<emph.end type="italics"/><lb/><figure id="fig10"></figure><pb pagenum="48"/><emph type="italics"/>&longs;ormar uno cuneo, &longs;econdo il modo di &longs;opra detto, & congionger li in&longs;ieme, come di <lb/>&longs;opra appare in figura con le &longs;ue ponte uer&longs;o delli nemici, cioe ner &longs;o del cuneo per tor <lb/>lo in meggio, & bi&longs;ogna notare qualmente nella formatione di que&longs;ti dui cunei, ui auan <lb/>zara un fante per cadauno de loro fuora della <expan abbr="ordinãza">ordinanza</expan>, <21> che il numero. </s>

<s>50. <expan abbr="nõ">non</expan> è nume <lb/>ro quadrato, & auanza il maggior numero quadrato contenuto da quello (qual è.<emph.end type="italics"/> 49.)<emph type="italics"/><lb/><21> un fante &longs;olo, cioe fra tutti dui ui <expan abbr="auãzaria">auanzaria</expan> dui fanti, come di &longs;opra appare in figura.<emph.end type="italics"/></s>

<s>PRIORE. C<emph type="italics"/>ertamente non è huomo che non reputa&longs;&longs;e che li fanti che &longs;ono <lb/>in quelli dui cunei che formano la detta forfice, non fu&longs;&longs;eno piu d'un tanto, e meg <lb/>gio de quelli, che &longs;ono nel primo cuneo, & &longs;e io non gli haue&longs;&longs;e numerati, io non lo cre<lb/>derei che fu&longs;&longs;eno eguali, e per tanto, io giudicarei, in dui e&longs;&longs;erciti co&longs;i ordinati, e&longs;&longs;er <lb/>maggior auantaggio nella forfice, che nel cuneo, perche la forfice piglia in meggio il <lb/>detto cuneo, & quello ha da tendere nel combattere dall'una é l'altra banda, & li dui <lb/>cunei della forfice non hanno da tendere nel combattere, &longs;aluo che da una banda &longs;ola <lb/>cadauno de loro.<emph.end type="italics"/> N. C<emph type="italics"/>o&longs;i è da giudicare.<emph.end type="italics"/> P. N<emph type="italics"/>on uoglio che intramo in altra ma<lb/>teria per questa &longs;era, ma diman de &longs;era uoglio che di&longs;putamo la proprieta di que&longs;ta fi<lb/>gura cunea, quando che il nemico non &longs;ape&longs;&longs;e formar la detta forfice.<emph.end type="italics"/></s>

<s>QVESITO SETTIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barleata.<emph.end type="italics"/></s>

<s>PRIORE. B<emph type="italics"/>en quando &longs;e ordina&longs;&longs;e uno e&longs;&longs;ercito in forma cunea, & che li ne<lb/>mici non haue&longs;&longs;ono l'arte di &longs;aper far la forfice, che auantaggio &longs;e potria giudi<lb/>care per quella &longs;orte figura, maßime hauendo tanta gente l'una parte quanto l'altra.<emph.end type="italics"/><lb/>N. Q<emph type="italics"/>uando che la contraria parte uole&longs;&longs;e opponer&longs;e à tal figura cunea, con una for<lb/>ma quadra di terreno, come al pre&longs;ente &longs;i co&longs;tuma, à tutte le ragion del mondo restara<emph.end type="italics"/><lb/><figure id="fig11"></figure><pb/><emph type="italics"/>rotto è &longs;bezzato.<emph.end type="italics"/> P. P<emph type="italics"/>erche ragione.<emph.end type="italics"/> N. L<emph type="italics"/>a ragion ue la diro, &longs;ia e&longs;&longs;empi gra<lb/>tia fanti. </s>

<s>100. in forma cunea, & altri fanti. </s>

<s>100. in forma quadra di terreno all'op<lb/>po&longs;ition del detto cuneo, come di &longs;otto appare in figura, & perche l'ordine del ferir <lb/>del cuneo, e que&longs;to che tutti quelli che tirano de alcuna &longs;orte i&longs;trumento, come &longs;ono ar<lb/>tegliarie, archibu&longs;i, dardi, archi, ouer bale&longs;tre, tutti debbono tendere à tirare, & à &longs;e<lb/>rire &longs;olamente in quel luoco doue ua à inferire la ponta del cuneo, cioe in ponto. </s>

<s>a. on<lb/>de li fanti che in quel luoco &longs;e ritrouar anno, ui &longs;ara nece&longs;&longs;ario, o a morire, ouer à dar <lb/>luoco alla ponta del detto cuneo, per la grande moltitudine delle archibu&longs;ate, & friz<lb/>zate tutte in quel &longs;olo luoco tirate, intrando adunque dentro la ponta del detto cu<lb/>neo in tal luoco, continuamente andara preforando, & penetrando tutta quella or <lb/>dinanza da banda, à banda, perche tutti archibu&longs;eri, & arceri che re&longs;tano di fuora, <lb/>non debbono ce&longs;&longs;ar de tirare in quel i&longs;te&longs;&longs;o luoco, & non altroue, la qual co&longs;a facendo <lb/>eglie impoßibile che non ui &longs;ia dato luoco al detto cuneo da penetrare, et penetrato che <lb/>&longs;ia tal e&longs;&longs;ercito è rotto &longs;enza alcun remedio.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;ta co&longs;a è chiara, che &longs;e il detto <lb/>cuneo penetra tutta la detta ordinanza quella &longs;enza dubbio re&longs;ta rotta, e fraca&longs;&longs;ata, et <lb/>è qua&longs;i impoßibile che non gli uenga ad ef&longs;etto, perche tutta la po&longs;&longs;anza & uirtu de <lb/>quel tal cuneo uien à operare in quel luoco &longs;olo, e pero eglie qua&longs;i impoßibile che in <lb/>quel tal luoco ui po&longs;&longs;ano durare anchor, che fu&longs;&longs;eno molto piu in tal <expan abbr="ordinãza">ordinanza</expan>, de quel<lb/>li che fu&longs;&longs;eno nel detto cuneo, perche tal luoco non puo e&longs;&longs;er &longs;occor&longs;o da alcuno de quel <lb/>li di tal ordinanza, perche &longs;e quelli che &longs;ono uer&longs;o. </s>

<s>b. ouer uer&longs;o. </s>

<s>c. uole&longs;&longs;eno uenire à <lb/>dar &longs;occor&longs;o à quel tal luoco, &longs;aria forza à de&longs;ordinar&longs;e, & de&longs;ordinati che fu&longs;&longs;ono, <lb/>incorrariano nel mede&longs;imo &longs;candolo, cioe re&longs;tariano rottitotalmente, & re&longs;tando nel <lb/>&longs;uo luoco la &longs;ua uirtu, ouer po&longs;&longs;anza, re&longs;ta qua&longs;i morta, perche niun de loro la puo mo <lb/>&longs;trare per ualente che &longs;ia, & hor comprendo di quanta importantia &longs;ia que&longs;ta forma <lb/>cunea, à chinon ui &longs;apeßi, trouar la&longs;ua medicina, ouer rimedio.<emph.end type="italics"/> N. S<emph type="italics"/>enza dubbio che <lb/>onv buona forma alle uolte è di tal autorita quanto che è la &longs;ua materia, & anchor piu.<emph.end type="italics"/><lb/>P. C<emph type="italics"/>ertamente que&longs;ta uo&longs;tra opinione mi è piace&longs;ta a&longs;&longs;ai, et mi ba&longs;ta per que&longs;ta &longs;era.<emph.end type="italics"/></s>

<s>QVESITO OTTAVO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. C<emph type="italics"/>ome &longs;e potria formare, de una quantita de fanti, ouer di uno e&longs;&longs;er <lb/>cito, quella forma, ouer figura di battaglia dalli antichi chiamata la Serra.<emph.end type="italics"/> N. <lb/>Q<emph type="italics"/>ue&longs;ta forma di battaglia, &longs;econdo la qualita del &longs;uo nome, à mi me pare che debbia <lb/>e&longs;&longs;ere dentata, &longs;i come è la &longs;ega con che &longs;e co&longs;tuma &longs;egar li traui, e per tanto uolendo re <lb/>dure una quantita de fanti, ouer uno e&longs;&longs;ercito in tal forma. </s>

<s>bi&longs;ogna con&longs;iderare due co <lb/>&longs;e, l'una de quanti denti&longs;e uol far que&longs;ta Serra, ouer &longs;ega, & &longs;e oltra tai denti ui &longs;i uol <lb/>altra ordinanza da &longs;ostentar quelli denti, ouer non.<emph.end type="italics"/> P. D<emph type="italics"/>atime uno e&longs;&longs;empio in figu <lb/>ra&longs;opra quello che uoleti in ferire, ma in poco numero de fanti, perche meglio appren <lb/>dero la co&longs;a.<emph.end type="italics"/> N. P<emph type="italics"/>oniamo che li fanti delli quali &longs;e uol formare li puri denti della det<lb/>ta Serra &longs;iano. </s>

<s>100. hor que&longs;ti. </s>

<s>100. fanti &longs;i debbono diuidere nel numero delli denti che <lb/>&longs;i uol dar à que&longs;ta Serra, & de cadauna de quelle parti formarne un cuneo, per la re-<emph.end type="italics"/><pb pagenum="49"/><emph type="italics"/>gola data nel. </s>

<s>5. Que&longs;ito, & quelli tai cunei, congiongerli in diretto, &longs;econdo che fu fat <lb/>to di quelli dui nel formar la forfice, e&longs;&longs;empi gratia, poniamo, che delli detti fanti cen <lb/>to &longs;e uoglia far quattro denti di una &longs;erra, dico, che li detti fanti <expan abbr="c&etilde;to">cento</expan> li &longs;e debbono par <lb/>tire in quattro parti, del qual partimento ne uenira fanti. </s>

<s>25. per parte, hor di cadau <lb/>na di queste parti &longs;e ne debbe formar un cuneo &longs;econdo lordine dato nel detto. </s>

<s>5. Que <lb/>&longs;ito, & que&longs;ti quattro cunei congiongerli in diretto, come di&longs;otto appar in figura, & <lb/>que&longs;to è in quanto al far delli puri denti, ma &longs;e per ca&longs;o &longs;e uole&longs;&longs;e mettere una altra or <lb/>dinanza drio alli detti quattro denti, bi&longs;ognaria prima determinare de quanti fanti <lb/>tal ordinanza&longs;e uora fare, & quella cauarla de per &longs;e, & del resto formar li denti, &<emph.end type="italics"/><lb/><figure id="fig12"></figure><lb/><emph type="italics"/>de drio de detti denti ponerui quella quantita de fanti, che prima fu cauata, & ordi<lb/>narli à tanti fanti per fila, quanti fanti &longs;e trouara direttamente in longo e&longs;&longs;ere in tutte <lb/>le ba&longs;e delli denti formati, e&longs;&longs;empi gratia, poniamo che &longs;iano fanti. </s>

<s>100. de quelli &longs;e uoglia fare quattro denti di una &longs;erra, & delli altri. </s>

<s>144. &longs;e uoglia <lb/>fare una ordinanza &longs;u&longs;tentante li detti quattro denti, dico, che redutti li fanti cento in <lb/>quattro denti, come di &longs;opra fu detto, con&longs;equentemente drieto à quelli ui &longs;e debbe a&longs;&longs;et <lb/>tar quelli cento quar antaquattro fanti à fanti trenta&longs;ei per fila, perche in tutte quat<lb/>tro le ba&longs;e de detti quattro denti ui &longs;ono fanti trenta&longs;ei, come nella &longs;otto &longs;critta figura <lb/>appare, & co&longs;i con tal modo, & ordine &longs;e potra ordinare, &longs;e fu&longs;&longs;eno bene cento milia <lb/>fanti de&longs;tinguendo, come di &longs;opra &longs;e fatto in quel poco numero.<emph.end type="italics"/> P. V<emph type="italics"/>eho inte&longs;o be<lb/>nißimo, & ba&longs;ta per que&longs;ta&longs;era.<emph.end type="italics"/></s><figure></figure>

<s>QVESITO NONO FATTO DAL MEDESIMO <lb/>S<emph type="italics"/>ignor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. C<emph type="italics"/>ome &longs;e potria redure una quantita de fanti, ouer uno e&longs;&longs;ercito in <lb/>figura Rhombica di gente, che fu&longs;&longs;eno atti à poter caminar con uno angolo uer-<emph.end type="italics"/><pb/><emph type="italics"/>&longs;o li nemici.<emph.end type="italics"/> N. C<emph type="italics"/>on la regola che &longs;i fa el cuneo, con quella mede&longs;ima qua&longs;i &longs;i fa el <expan abbr="rhõ">rhom</expan> <lb/>bo, perche diuidendo tutti quei fanti, ouer quello e&longs;&longs;ercito con, che &longs;i uuol formar el <lb/>detto rhombo in due parti equali, & di quella mita formar el cuneo, & formato che le <lb/>&longs;opra el me de&longs;imo ultimo lato, ui&longs;e debbe andar a&longs;&longs;ettando l'altra mita de fanti, ouer <lb/>del a&longs;&longs;ercito con file, che continuamente anda&longs;&longs;eno declinando per dui fanti <expan abbr="mãco">manco</expan>, cioe <lb/>al contrario di quello &longs;e fa comenzandolo dalla unita, cioe comenzando à far la ponta <lb/>del cuneo, nel qual &longs;i ua continuamente accre&longs;cendo le file per dui fanti piu, ma bi&longs;o<lb/>gna aduertire, che &longs;e nella fabricatione del primo cuneo, ui ananza&longs;&longs;e qualche fanti, <lb/>che non fu&longs;&longs;eno à &longs;officienza de farui un'altra fila, quella mede&longs;ima fila &longs;e debbe pur <lb/>compire con li fanti dell'altra mita de fanti, perche uno di que&longs;ti dui cunei congionti, <lb/>uiene a e&longs;&longs;er de una fila piu de l'altro.<emph.end type="italics"/> P. D<emph type="italics"/>atime un'e&longs;&longs;empio in figura ma in picciol <lb/>numero.<emph.end type="italics"/><lb/><figure id="fig13"></figure><pb pagenum="50"/>N. P<emph type="italics"/>oniamo, e&longs;&longs;empi gratia, che li fanti, con li quali &longs;e de&longs;idera di uoler &longs;ormar el <lb/>rhombo &longs;iano. </s>

<s>320. dico, che &longs;i debbono partire in due parti equali, che de tal partinen <lb/>to ne uenira fanti. </s>

<s>160. per parte, & de l'una di que&longs;te parti&longs;e ne debbe far uno cuneo <lb/>&longs;econdo l'ordine datto nel quinto Que&longs;ito, el qual fatto &longs;i trouara auanzar fanti. </s>

<s>16. <lb/>(per le ragioni adutte nel detto quinto Que&longs;ito) cioe ui mancara fanti noue à compi<lb/>re la detta ultima fila de tal primo rhombo, hor dico, che tal fila &longs;i debbe compire con <lb/>li fanti dell'altra mita, cioe pigliarne quelli fanti. </s>

<s>19. che ui manca, che nel detto primo <lb/>rhombo uenira à e&longs;&longs;er fanti. </s>

<s>169. & nell'altra parte uenira à re&longs;tare &longs;olamente fanti <lb/>151. coni quali formandone l'altro rhombo, &longs;opra la ultima fila del primo, la qual ulti <lb/>ma fila &longs;ara de fanti uinticinque, onde bi&longs;ognara &longs;opra di quella a&longs;&longs;ettaruene un'altra <lb/>fila de dui fanti manco, cioe de fanti uimitre, & di &longs;opra à quella de detti fanti uintitre <lb/>a&longs;&longs;ettaruene un'altra de fanti uintiuno, & &longs;opra à quella de fanti uintiuno, un'altra <lb/>de fanti de&longs;noue, & &longs;opra à quella de fanti de&longs;noue un'altra de fanti dieci&longs;ette, & co&longs;i <lb/>andar procedando &longs;empre con dui fanti manco, per fina à tanto che &longs;e peruenira alla fi <lb/>la dun fante &longs;olo (come di &longs;opra appar in figura) uero è, che &longs;i trouara in ultimo auan<lb/>zar fanti&longs;ette, li quali il &longs;acente Sargente li a&longs;&longs;ettara &longs;econdo il &longs;uo parere, & co&longs;i con <lb/>tal modo, & ordine &longs;e potra redure in una &longs;imel ordinanza ogni grande e&longs;&longs;ercito, & <lb/>potranno uoltar&longs;e, & caminar facendo de&longs;palle fronte, & &longs;imelmente de qual &longs;i uo<lb/>glia fianco.<emph.end type="italics"/> P. I<emph type="italics"/>o ue ho inte&longs;o ottimamente, & chel &longs;ia el uero, uoi uoleti primamen <lb/>te, che &longs;e aduerti&longs;ca, come chel primo cuneo ui à e&longs;&longs;er de una fila di fanti de piu del &longs;e<lb/>condo, e pero e&longs;&longs;endo diui&longs;o lo e&longs;&longs;ercito in due parti equali, & ponendo poi quelli fan<lb/>ti de&longs;noue, che auanzano nella formation del primo cuneo, in&longs;ieme <expan abbr="cõ">com</expan> quelli fanti. </s>

<s>160. <lb/>dell'altra mita fariano poi fanti cento &longs;ettantanoue, delli quali uolendone poi formar <lb/>l'altro cuneo &longs;opra la ultima fila del detto primo cuneo, laquale &longs;aria &longs;olamente de fan <lb/>ti uintitre, & cominciando poi el &longs;econdo cuneo de fanti uintiuno (cioe per dui fanti <lb/>manco) & co&longs;i andar procedendo (per duo fanti meno) per fin al compimento di que <lb/>&longs;to &longs;econdo cuneo, ne uenira auanzar fanti cinquantacinque, & uoi per far auanzar <lb/>men fanti uoleti, che quella ultima fila (imperfetta del primo cuneo, quala è &longs;olamente <lb/>di fanti de&longs;noue, che la &longs;e compi&longs;ca delli fanti dell'altra mita (cioe pigliando quelli fan<lb/>ti noue che ui manca) il che facendo, & procedendo poi come di &longs;opra fudetto, inul<lb/>tima ui uenira auanzar &longs;olamente fanti &longs;ette, come di &longs;opra fu detto, et dapoi&longs;otto <expan abbr="giõ">giom</expan> <lb/>geti qualmente que&longs;ta figura rhombica ha quella pote&longs;ia, che &longs;e ritroua nelle ordinan <lb/>ze quadre di gente, ouer diterreno, cioe, che ella è atta à uoltar&longs;e, & far de &longs;palle <expan abbr="frõ">from</expan> <lb/>te, & caminar etiam per queluer&longs;o, & &longs;imelmente è atta à far da qual &longs;i uoglia fianco <lb/>te&longs;ta, uero è, che ui occorre in taiuer&longs;i à douer&longs;i re&longs;tringer per un uer&longs;o, & allargar<lb/>&longs;e per un'altro, come medemamente, occorre anchora nelle dette ordinanze qua<lb/>dre di gente, ouer di terreno.<emph.end type="italics"/> N. N<emph type="italics"/>on altro che que&longs;to uolemo inferire.<emph.end type="italics"/> P. A<emph type="italics"/>dun <lb/>que ue ho inte&longs;o, e pero al pre&longs;ente non uoglio che procedamo piu oltra <21> que&longs;ta &longs;era.<emph.end type="italics"/></s>

<s>QVESITO DECIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s><pb/>

<s>PRIORE. <emph type="italics"/>Come &longs;e potria ordinare una quantita de fanti, ouer uno e&longs;&longs;ercito <lb/>in una battaglia cornuta, che fu&longs;&longs;e atta à poter caminare in tal ordine contra à <lb/>li <expan abbr="nemic&imacr;">nemicim</expan>, & chi fu&longs;&longs;e anchora atta occorrendo il bi&longs;ogno à poter allongar i corni, cioe <lb/>buttarli in fuora etiam à tirarli in dentro (come &longs;uol far la lumaca, ouer bouolo) &longs;en <lb/>za alcum pericolo de alcun de&longs;ordine.<emph.end type="italics"/> N. V<emph type="italics"/>olendo e&longs;&longs;eguir tal co&longs;a, io diuideria tut <lb/>ti quelli fanti, ouer tutto quel e&longs;&longs;ercito in tre partiequali, & una di quelle parti redu<lb/>ria in battaglia quadr a diterreno, & cadauna delle altre due le reduria in battaglia <lb/>quadra di gente, & <expan abbr="nõ">non</expan> di terreno, et una di que&longs;te due battaglie, la mettaria alla <expan abbr="bãda">banda</expan> <lb/>de&longs;tr a della prima battaglia (gia fatta in forma quadra di gente) & l'altraue la pone <lb/>ria alla banda &longs;ini&longs;tra, non continuate con quella, ma alquanto di&longs;tante: accio poßino <lb/>caminar piu pre&longs;to, ouer piutardi di quella di mezzo (occorrendo el bi&longs;ogno) &longs;enzæ <lb/>interrompere l'andare, ouer el &longs;tare della detta battaglia di mezzo.<emph.end type="italics"/> P. </s>

<s>E <emph type="italics"/>ue ho qua&longs;t <lb/>inte&longs;o, nondimeno datime uno e&longs;&longs;empio in figura, ma &longs;opra tutto in poca quantita de <lb/>fanti, perche molto meglio &longs;e apprende la co&longs;a nelli numeri piccoli, che nelli numeri <lb/>grandi.<emph.end type="italics"/> N. P<emph type="italics"/>oniamo, che tutti li no&longs;tri fanti fu&longs;&longs;eno trecento, li quali uolendo li re<lb/>dure in quella forma di battaglia, che me adimanda uo&longs;tra<emph.end type="italics"/> R <emph type="italics"/>euerentia, dico, che li diui <lb/>deria in tre parti equali, che in cadauna &longs;aria fanti cento, & l'una di que&longs;te partiredu <lb/>ria in battaglia quadra di terreno (per el modo dato nel quarto Que&longs;ito) & cadauna <lb/>delle altre due reduria in battaglia quadra di gente (per el modo dato nel primo Que<lb/>&longs;ito) & fra queste due battaglie, gli a&longs;&longs;ettaria la prima battaglia detta di &longs;opra, cioe <lb/>quella quadra diterreno, talmente, che fu&longs;&longs;e alquanto di&longs;tinta, ouer di&longs;gionta da quel<lb/>le, come di &longs;otto appar in figura, accio che occorrendo à uoler far procedere auanti<emph.end type="italics"/><lb/><figure id="fig14"></figure><lb/><emph type="italics"/>uno, ouer ambidue li corni, chel &longs;i po&longs;&longs;a fare &longs;enza di&longs;tur bar la ordinauza dimezzo, <lb/>ouer amente occorrendo à uoler retir are uno, ouer ambidui di ditti corni in drio, che <lb/>mede&longs;imamente el &longs;i po&longs;&longs;a fare &longs;enza impedimento della detta ordinanza di mezzo.<emph.end type="italics"/><lb/>P. C<emph type="italics"/>redeti che tai &longs;orte de corni fu&longs;&longs;eno quelli, che u&longs;auano li antiqui in alcune &longs;ue <lb/>battaglie.<emph.end type="italics"/> N. N<emph type="italics"/>on ui&longs;aprei dire di certo &longs;e fu&longs;&longs;eno &longs;un que&longs;ta forma, ma qu&longs;tea &longs;or<lb/>te me la ho imaginata da me, perche la me par hauer in &longs;e tutto quello che mi ba ri<lb/>cercato<emph.end type="italics"/> V.R. P. B<emph type="italics"/>a&longs;ta che la non me di&longs;piace, anchor che la non fu&longs;&longs;e &longs;imile à questo <lb/>che u&longs;auano li antichi.<emph.end type="italics"/></s><pb pagenum="51"/>

<s>QVESITO VNDECIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. E<emph type="italics"/>&longs;&longs;endo uno e&longs;&longs;ercito ordinato in qual &longs;i uoglia forma, & che per <lb/>&longs;orte li nemici inuistide&longs;&longs;ono dentro con le &longs;ue artegliarie, talmente che amaz<lb/>za&longs;&longs;eno molti de quelli fanti di tal e&longs;&longs;ercito, &longs;e adimanda qual &longs;aria meglio che tal e&longs;&longs;er <lb/>cito camina&longs;&longs;e &longs;econdo che lui &longs;e ritroua&longs;&longs;e, cioe la&longs;&longs;ando quelli lochi co&longs;i uacui di quel <lb/>le per&longs;one morte dalle artegliarie, ouer à restringer&longs;i in&longs;ieme per impire quelli tali <lb/>lochiuacui.<emph.end type="italics"/> N. A<emph type="italics"/>ll'uno modo mi par male, & all'altro peggio, perche la&longs;&longs;ando quel <lb/>li lochi co&longs;i uacui, & maßime nella fronte, &longs;i da facilita <expan abbr="grãdißima">grandißima</expan> alli nemici di entrar <lb/>nella detta ordinanza, & diromperla, & facendo poirestringere la detta ordinanza <lb/>per empir li detti lochi, nece&longs;&longs;ariamente tal or dinanza &longs;e di&longs;ordina totalmente, & &longs;e <lb/>redu&longs;&longs;e qua&longs;i in confu&longs;ione, perche eglie da credere, che le dette artegliarie, non con&longs;u <lb/>mano alcuna fila de fanti integralmente da un capo all altro per longo, ma &longs;olamente <lb/>una parte di que&longs;ta, & una parte di quell'altra, & alcune re&longs;tano ille&longs;e, ouer non offe<lb/>&longs;e, ma intiere, & &longs;ane, onde uolendole far re&longs;tringere per empir li detti lochiuacui, <lb/>eglie nece&longs;&longs;ario à di&longs;conciar le file acconcie, per integrar le di&longs;concie, tal che tal ordi<lb/>nanza uerra à restar con piu numero de file de fanti (al longo)nella coda, che nella fron <lb/>te, la qual co&longs;a, &longs;e tal ordinanza uorra caminare, eglie nece&longs;&longs;ario che immediate uenghi <lb/>in confu&longs;ione, per cau&longs;a di quelle file imperfette per longo.<emph.end type="italics"/> P. E<emph type="italics"/>glie co&longs;a con&longs;onan<lb/>te, ma come uorresti che &longs;e face&longs;&longs;e altramente.<emph.end type="italics"/> N. I<emph type="italics"/>o laudarei che &longs;e amae&longs;tra&longs;&longs;e li <lb/>fanti in &longs;imil ca&longs;o, à non re&longs;tar mai&longs;enza compagno auanti di&longs;e, eccetto che nella fron <lb/>te, cioe auertir cadauno de loro, che &longs;e per ca&longs;o gli ueni&longs;&longs;e à manco quello fante che gli <lb/>camina auanti di &longs;e, ouer piu, che &longs;ubito, & con gran pre&longs;tezza debbia caminare tan<lb/>to auanti che ritroui un'altro compagno nella con&longs;ueta distantia auanti di &longs;e, & &longs;e <21><lb/>ca&longs;o non ui ne ritroua&longs;&longs;e alcuno auertirli, come debbiano procedere per fin alla te&longs;ta, <lb/>ouer fronte, et in tal luoco fermar&longs;e, ouer caminare &longs;econdo che fara tal fila della te&longs;ta, <lb/>ouer della fronte.<emph.end type="italics"/> P. M<emph type="italics"/>oglialtri che &longs;aranno nella mede&longs;ima fila de drio da quel tal <lb/>compagno, per longo, che uorreti che facciano.<emph.end type="italics"/> N. E<emph type="italics"/>ßendo que&longs;taregola ferma che <lb/>ogni fante piglia la mi&longs;ura del &longs;uo caminar pian, e forte dal &longs;uo compagno che gli ca<lb/>mina dauanti, & non da quelli che gli &longs;ono dalle bande, e per tanto tutti quelli fanti che <lb/>&longs;e ritrouaranno in quella mede&longs;ima fila de drio da quel tal fante à che &longs;ara mancato il <lb/>&longs;uo compagno, ouer piu compagni dauanti, &longs;aranno sforzati à correre, ouer camina<lb/>re à longhi paßi&longs;econdo che caminara quel tal compagno, la qual co&longs;a eßendo oßerua <lb/>ta da tutti, tal or dinanza, ouer battaglia &longs;e trouara &longs;empre nella fronte integra, e&longs;ana, <lb/>& quelli &longs;paci uacui, delli ucci&longs;i fanti, &longs;e tra&longs;portar anno nella coda, nel qual luoco non <lb/>&longs;aranno qua&longs;i de alcuno pericolo.<emph.end type="italics"/> P. D<emph type="italics"/>e gratia datime uno eßempio, & in poco nu<lb/>mero de fanti, per non mi confonder lo intelletto.<emph.end type="italics"/> N. P<emph type="italics"/>oniamo per eßempio che in <lb/>una nostra battaglia de fanti. </s>

<s>144. in forma quadra di <expan abbr="g&etilde;te">gente</expan>, linemici ui habbiano mor <lb/>to fanti.12.come per li &longs;uoilochiuacuati nella &longs;otto&longs;critta figura appare, dico che ha<lb/>uendo auertito cadaun fante à far quanto che di &longs;opra habbiamo narrato, cioe che ogni <lb/>uolta che ui mancaße il &longs;uo compagno che glicamina dauanti (ouer piu) &longs;ubito debbia <pb/>à longare i paßi, & con quella pre&longs;tezza che à lui &longs;ia poßibile, non de ce&longs;&longs;are de cami<lb/>nare tanto auanti, che ritroua un'altro compagno nella con&longs;ueta di&longs;tantia, che gli ca<lb/>mini auanti di&longs;e, et &longs;e per ca&longs;o in quella tal fila per longo non ue ne troua&longs;&longs;e alcuno, deb <lb/>ba procedere tanto, che peruenga alla ultima fila uer&longs;o la fronte, cioe nella fila della<emph.end type="italics"/><lb/><figure id="fig15"></figure><lb/><emph type="italics"/>fronte, & li affermar&longs;e, ouer caminar &longs;econdo l'ordine di detta fila, & &longs;imilmente <lb/>&longs;i debbe auertire cadauno, che nel &longs;uo caminare piano, e forte, &longs;i debbia regge<lb/>re &longs;empre dal &longs;uo compagno che gli camina dauanti, & non da alcuno de quelli <lb/>che gli è dalle bande, la qual co&longs;a e&longs;&longs;endo o&longs;&longs;eruata, nella &longs;opra&longs;critta figurata or<lb/>dinanza quella &longs;e tr as ferira in que&longs;t'altra forma, che qui di&longs;otto appar, cioe che quel-<emph.end type="italics"/><lb/><figure id="fig16"></figure><lb/><emph type="italics"/>li dodecilochi uacui &longs;aranno traslatati nella coda, come &longs;en&longs;ibilmente &longs;ipuo uedere, nel <lb/>qual luoco non &longs;aranno qua&longs;i de alcun pericolo, ouer di&longs;ordine.<emph.end type="italics"/> P. Q<emph type="italics"/>ue&longs;ta uo&longs;tra <lb/>opinione è bonißima, & non credo che la &longs;i po&longs;&longs;a megliorare in &longs;imil ca&longs;o.<emph.end type="italics"/></s><pb pagenum="52"/>

<s>QVESITO DVODECIMO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo Signor Prior <lb/>di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. D<emph type="italics"/>itemi un poco, &longs;aria poßibile di potere tra&longs;mutar con pre&longs;trez<lb/>za uno e&longs;&longs;ercito in forma quadra di gente, in una forma cunea, &longs;enza di&longs;ordi<lb/>nar la prima ordinanza, & &longs;enza pericolo di confu&longs;ione.<emph.end type="italics"/> N. T<emph type="italics"/>roppo &longs;aria poßibi<lb/>le.<emph.end type="italics"/> P. </s>

<s>E <emph type="italics"/>come.<emph.end type="italics"/> N. S<emph type="italics"/>econdo che con il &longs;uono, ouer con uoce uoi ue fati intendere <expan abbr="quã">quam</expan> <lb/>do che uoleti che quelli &longs;i uoltano con la faccia uer&longs;o la banda de&longs;tra, ouer &longs;ini&longs;tra, ouer <lb/>à &longs;palle, con un diuer&longs;o &longs;uono, ouer con la uoce uoglio che &longs;iano auertiti, & amae&longs;trati <lb/>à &longs;aper&longs;i uoltare in quel uer&longs;o, che è fra la fronte, & il fianco de&longs;tro, ouer il &longs;ini&longs;tro, <lb/>& &longs;imilmente in quello che è fra il fianco de&longs;tro, ouer il &longs;ini&longs;tro, & le &longs;palle, & dapoi <lb/>che &longs;aranno ben informati di que&longs;ta particolarita, uoglio che anchora &longs;iano ben auer<lb/>titi di quello fu detto nel precedente que&longs;ito, cioe de auertire, & amaestr are cadauno <lb/>fante, che ogni uolta che fu&longs;&longs;e fatto uoltare in alcun di &longs;opradetti uer&longs;i, et che non &longs;i tro <lb/>ua&longs;&longs;e hauer compagno nella con&longs;ueta <expan abbr="di&longs;tãtia">di&longs;tantia</expan> auanti di &longs;e, che quel debbia con gran pre <lb/>&longs;tezza procedere, ouer caminare tanto rettamente auanti, che ritroui un compagno <lb/>nella con&longs;ueta di&longs;tantia auanti di &longs;e, delle qual co&longs;e e&longs;&longs;endo tutti ben informati, & amae <lb/>&longs;trati, in uno batter d'occhio &longs;e potra e&longs;&longs;equire quello ricerca Vo&longs;tra Signoria, cioe uo <lb/>lendo tra&longs;mutare uno e&longs;&longs;ercito che &longs;ia in forma quadra di gente, in una forma cunea, et <lb/>uolendo che l'angolo de&longs;tro della fronte re&longs;ti la ponta della detta forma cunea, dico che <lb/>facendo uoltar con il &longs;uono, ouer con uoce, tutti li fanti di tal e&longs;&longs;ercito con la faccia in <lb/>quel uer&longs;o, che è fra la fronte, & il fianco de&longs;tro, & &longs;ubito uoltati che &longs;iano, o&longs;&longs;eruan<lb/>do cadauno l'ordine detto di &longs;opra, cioe che tutti quelli che non &longs;i trouaranno hauer <lb/>compagno nella con&longs;ueta di&longs;tantia auanti di &longs;e, procedino rettamente auanti tanto che <lb/>ne ritrouano uno, la qual co&longs;a e&longs;&longs;equida, &longs;e trouara e&longs;&longs;er trasformata la detta forma <lb/>guadrata di gente in una forma cunea, & la ponta di tal figura cunea uerra à e&longs;&longs;er lo <lb/>detto angolo de&longs;tro della fronte della prima figura.<emph.end type="italics"/> PRIORE. Q<emph type="italics"/>ue&longs;ta uo&longs;tra <lb/>regola me par molto bellißima, e pre&longs;ta, ma non la ho ben capita, e pero ui prego <lb/>che me dati uno e&longs;&longs;empio in figura, ma &longs;opra tutto in poco numero, perche la<emph.end type="italics"/><lb/><figure id="fig17"></figure><pb/><emph type="italics"/>me par molto difficile da intendere.<emph.end type="italics"/> N. L<emph type="italics"/>a non è co&longs;i difficile, come la pare, & che il <lb/>&longs;ia il uero, &longs;ia eßempi gratia fanti.25.in forma quadra digente, come di&longs;opra appare <lb/>in figura, & per eßer meglio inte&longs;o me appar&longs;o di formar tal figura co n.25.lettere <lb/>del no&longs;tro alphabeto, hor uolendo tra&longs;mutare cal figura quadrata di gente, in una fi<lb/>gura cunea, primamente gli faccio uoltar tutti con la faccia in quel uer&longs;o che è fra la <lb/>fronte, & quel fianco doue mi pare di uoler co&longs;tituire la ponta del cuneo, eßempi gra<lb/>tia uolendo che la ponta di tal figura cunea &longs;ia l'angolo.e.faro che tutti &longs;i uoltano con<emph.end type="italics"/><lb/><figure id="fig18"></figure><lb/><emph type="italics"/>la faccia per quel uer&longs;o che è fra la fronte, & il fianco de&longs;tro, cioe uer&longs;o l'angolo.e.la <lb/>qual co&longs;a eßequida tal figura uerra à &longs;tare, come qui&longs;otto appare, nella qual figura il &longs;i <lb/>uede che ui &longs;ono molti fanti che non hanno compagno nella con&longs;ueta di&longs;tantia auanti di <lb/>&longs;e, uero che hanno ben compagno rettamente auanti di &longs;e, ma molto piu lontano del &longs;o<lb/>lito, cioe il doppio del &longs;olito, come appare al.f.il qual harettamente auanti di &longs;e il.b. <lb/>ma la di&longs;tantia che è dal detto.f.al detto.b.è il doppio della di&longs;tantia con&longs;ueta, onde &longs;el <lb/>.f.uorra oßeruare li precetti di &longs;opra adutti, &longs;ubito che hauera uoltato la faccia uer&longs;o <lb/>tal uer&longs;o immediate &longs;e andara ad approßimar&longs;e al detto.b.nella con&longs;ueta di&longs;tantia, il<lb/>che facendo &longs;e cacciara fra.a.et.g.uero è, che il detto.g.non re&longs;tara nel &longs;uo luoco pre <lb/>&longs;ente, ma &longs;e trasferira appreßo al.c.in distantia con&longs;ueta, & nel luoco doue prima era <lb/>il.g.ui conueneria uenir.l.tal chel.f.&longs;e trouara fra.a.&.l.& co&longs;i &longs;e tutti glialtri pro <lb/>cederanno auanti &longs;econdo il detto ordine, cioe per fina che trouano compagno in <expan abbr="di&longs;tã">di&longs;tam</expan> <lb/>tia con&longs;ueta auanti di &longs;e la.h.&longs;e andara ad approßimar&longs;e al.d.& lo.m.&longs;eguitara la det <lb/>ta.h.& il.q.&longs;eguitara drio al detto.m.tutti per fina alla con&longs;ueta di&longs;tantia, & co&longs;ilo.i. <lb/>&longs;eapproßimara al.e.& lo.n.&longs;eguitara lo.i.& lo.r.&longs;eguitara lo.n.& lo.x.&longs;eguitara il <lb/>detto.r.tutti per fin alla con&longs;ueta di&longs;tantia &longs;imilmente lo.o.&longs;e approßimara al.<emph.end type="italics"/>k.<emph type="italics"/>& lo. <lb/>&longs;.&longs;eguitara lo.o.&.y.&longs;eguitara.&longs;.pur per fin à di&longs;tantia con&longs;ueta, & co&longs;i.t.&longs;e approßi<lb/>mara al.p.&.z.&longs;eguitara.t.pur per fin alla con&longs;ueta di&longs;tantia, & &longs;imilmente, & &longs;e ap<lb/>proßimata al.u.pur nella detta con&longs;ueta di&longs;tantia, la qual co&longs;a oßeruata tal ordinan<lb/>za quadra di gente &longs;e &longs;ara tra&longs;mutata in una ordinanza cunea, come di &longs;otto appare in <lb/>figura, & la ponta di tal figurauerra à eßer l'angolo.e.& con tal ordine &longs;e procede<lb/>ria&longs;e tal eßercito fuße ben de.100000.fanti, pur che li detti fanti &longs;iano ben auertiti, <lb/>& amae&longs;trati di quanto di&longs;opra è&longs;tato detto, &longs;i del &longs;aper&longs;i <gap/>oltar, come del caminare.<emph.end type="italics"/><lb/>P. Q<emph type="italics"/>ue&longs;ta è una bella inuentione, & dimolta importantia, perche reducendo co&longs;i al-<emph.end type="italics"/><pb pagenum="53"/><emph type="italics"/>Pimproui&longs;o uno eßereito in forma cunea, eglie qua&longs;i impoßibile che linemici poßano, <lb/>oue&longs;appiano formar la forfice da opponerui, talmente che&longs;e ueniria ad hauer gran-<emph.end type="italics"/><lb/><figure id="fig19"></figure><lb/><emph type="italics"/>de auantaggio, come &longs;e uerifico di&longs;opra nel &longs;ettimo Que&longs;ito, perche à mi me pare che <lb/>una battaglia cunea &longs;ia &longs;empre atta e &longs;officiente à rompere ogni altra battaglia in <lb/>forma quadra di terreno, come che al pre&longs;ente &longs;i costuma, anchor che quella fu&longs;&longs;e di <expan abbr="g&etilde;">gem</expan> <lb/>te, ouer de fanti un tanto e mezzo de piu, domente, che quelli della forma cunea &longs;iano <lb/>ben istrutti del modo del ferire (detto nel &longs;ettimo Que&longs;ito.)<emph.end type="italics"/></s>

<s>QVESITO DECIMOTERZO FATTO DAL MEDESIMO <lb/><emph type="italics"/>Signor Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. I<emph type="italics"/>o ho pen&longs;ato a&longs;&longs;ai que&longs;ta notte &longs;opra à quella tra&longs;mutatione de <lb/>hier&longs;era, & à tutte quelle altre uarieta di forme, di che hauemo fin à que&longs;ta ho<lb/>ra parlato, & certamente el non &longs;i puo negare, che le non &longs;iano co&longs;e molto ingenio&longs;e, <lb/>& atte à dare alle uolte honor atamente una uittoria, anchor che li nimici fu&longs;&longs;eno un <expan abbr="tã">tam</expan> <lb/>to e mezzo piu di no&longs;tri, come dißi anchor hier&longs;era, nondimeno non &longs;ono di tanta au<lb/>torita, quanto che à questitempi bi&longs;ognaria, perche contra à una <expan abbr="pot&etilde;tia">potentia</expan>, come è quel <lb/>la del Turco, comprendo, che alcuna de loro non &longs;aria &longs;officiente a darli noia, la cau&longs;a <lb/>è che quello è &longs;empre atto a fare, & fa continuamente (come &longs;apeti) uno e&longs;&longs;ercito di <lb/>tre, & quattro tanta moltitudine de fanti de noi Christiani, delli caualli poi non ne par <lb/>lo, che &longs;empre ne ha una infinita, da non comparare alli no&longs;tri.<emph.end type="italics"/> E <emph type="italics"/>pero uolendo e&longs;&longs;ere <lb/>&longs;icuri di poter&longs;i opporre &longs;itur amente a quello in campagna, el bi&longs;ognaria inue&longs;tigare <lb/>qualche altro artificio&longs;o modo di ordinare uno e&longs;&longs;ercito de fantaria, che fu&longs;&longs;e at<lb/>to, & &longs;icuro di poter re&longs;istcre in una nuda campagna a uno altro e&longs;&longs;ercito almen ditre <lb/>tanta moltitu <gap/> anti, & che anchora el fu&longs;&longs;e &longs;icuro di non poter e&longs;&longs;er turbato,<emph.end type="italics"/><pb/><emph type="italics"/>ne offe&longs;o da alcuna moltitudine de caualli, & circa cio ui ho &longs;tudiato molti giorni, & <lb/>me&longs;t, ma finalmente per certe ragioni ho compre&longs;o non e&longs;&longs;er poßibile, perche una co&longs;a <lb/>&longs;ola mi gua&longs;ta ogni di&longs;egno.<emph.end type="italics"/> N. E<emph type="italics"/>glie il uero, che tal co&longs;a non é molto facile, nondime <lb/>no el non è da concludere co&longs;i ab&longs;olutamente, che la &longs;ia impoßibile, perche &longs;econdo, che <lb/>lo ingegno de l'huomo ha ritrouato (con ragion & arte) che uno &longs;olhuomo leui, ouer <lb/>conduca tal pe&longs;o, che quattro, e piu huomini natur almente per &longs;e non &longs;ariano atti ad <lb/>alleuarlo, ouer condurlo, co&longs;i anchora eglie da pen&longs;are, che con ragion, & arte &longs;ia po&longs; <lb/>&longs;ibile di ritrouare tal modo, eforma di ordinare uno e&longs;&longs;ercito che &longs;ia atto, & &longs;icuro à <lb/>&longs;uperare, & rompere ogni altro e&longs;&longs;ercito, quantunque el fu&longs;&longs;e di tre, & anchor de <lb/>quattro tanta moltitudine di gen&longs;è di piu, & in qual&longs;i uoglia forma.<emph.end type="italics"/> P. E<emph type="italics"/>l potria e&longs; <lb/>&longs;er que&longs;to, che uoi diceti, quando che el non ui&longs;e interpone&longs;&longs;e artegliarie, archibu&longs;i, et <lb/>archi, perche in uero doue è maggior e&longs;&longs;ercito à que&longs;ti tempi, eglie da giudicare, che <lb/>iui&longs;ia anchor maggior numero de tai bellici i&longs;trumenti, per la autorita de guali, & <expan abbr="nõ">non</expan> <lb/>per altro el detto Turco riportò honor at a uittoria contra el Sophi, al qual Sophi non <lb/>li giouò hauer uno e&longs;&longs;ercito tutto de huomini genero&longs;i, & honoratamente armati, & <lb/>con mir abel ordine ordinati, perche, come cominciorno ad e&longs;&longs;er &longs;alutati dalle arte<lb/>gliarie, archibu&longs;i, & archi Turche&longs;chi ogni&longs;uo ordine diuento uano. </s>

<s>Et me arricor<lb/>do quando, chel Turco uenne all'impre&longs;a de Rhodi, che io uol&longs;i andare con una bona <lb/>banda de ottimi fanti, ad a&longs;&longs;altare una grande moltitudine de Turchi, che erano uenu<lb/>ti in un certo luoco non molto lontano dalla terra:ma&longs;coperti, che nui fu&longs;&longs;emo à quel&longs;i <lb/>&longs;u <expan abbr="tãta">tanta</expan> la moltitudine delle frizze, che ne incominciorno à piouere &longs;oprala testa, che <lb/>fu&longs;&longs;emo sforzati immediate à ritornar nella terra, uero è, ohe erano piu di tre tanti de <lb/>noi, & nondimeno &longs;e la tanta moltitudine delle &longs;ue frizze non fu&longs;&longs;e &longs;tata, & che &longs;e fu&longs; <lb/>&longs;emo potesti approßimar à quelli con le no&longs;tre picche, & &longs;pade, &longs;enza dubbio li ha<lb/>uereßimo &longs;baratati, & maßime, che non haueuano artegliaria con loro, per e&longs;&longs;er gen <lb/>teche anda&longs;euano robando, & depredando per l'i&longs;ola: &longs;i che uoglio inferire, che &longs;e tai <lb/>machine non fu&longs;&longs;e, credo chel &longs;e potria ritrouare de or dinare uno e&longs;&longs;ercito con tal ar<lb/>tificio&longs;o modo, che fu&longs;&longs;e atto a rompere un'altro e&longs;&longs;ercito molto maggior di lui, come <lb/>fudetto &longs;opra al cuneo, ma quando, che la parte contraria habbia gran coppia de arte <lb/>gliarie, archibu&longs;i, & archí, non credo che la natura, ne l'arte ui pote&longs;&longs;e fare equiualen <lb/>te riparo, &longs;aluo, che con altre tante, ouer con maggior quantita di quelle, perche à tai <lb/>machine, & maßime alle artegliarie, non ui &longs;i puo trouar ingegno, che ui duri, ne me<lb/>dicina, che ui uaglia, & &longs;e que&longs;te tai machine fu&longs;&longs;eno &longs;tate al tempo antiquo, li elephan <lb/>ti haueriano per&longs;ala &longs;crimia, & li carri falcati ui &longs;ariano &longs;tati di poco giouemento, <lb/>ouer profitto.<emph.end type="italics"/> N. E<emph type="italics"/>glie da tener per fermo, che la natura mai crea&longs;&longs;e, ne crea alcun <lb/>&longs;i crudo ueleno, che anchor immediate non crea&longs;&longs;e, ouar crei la &longs;ua propria medecina, <lb/>quantunque co&longs;i immediate la non &longs;ia cono&longs;ciuta dalli huomini, &longs;imelmente dico, che <lb/>l'arte mai ritrouo; ne puo ritrouare co&longs;a co&longs;i noceuole all'huomo, che quella non &longs;ia an <lb/>chor atta à ritrouarui immediate il&longs;uo conueniente rimedio, anchor che la ignorantia <lb/>delli huomini non lo &longs;appia alle uolte co&longs;i all'improui&longs;o immaginare, ouer ritrouare.<emph.end type="italics"/><lb/>P. I<emph type="italics"/>o non credero mai, che l'arte &longs;ia atta à poter ouiare, che le artegliarie non &longs;iano <lb/>&longs;empre atte à dannificare ogni e&longs;&longs;ercito ordinato in campagna&longs;econdo el &longs;olito, & &longs;ia<emph.end type="italics"/><pb pagenum="54"/><emph type="italics"/>pur tal e&longs;&longs;ercito ordinato in forma quadrata, cunea; ouer come &longs;i uoglia, &longs;aluo che non <lb/>circonda&longs;&longs;e tal e&longs;&longs;ercito de großißime mura, ouer ba&longs;tioni, come &longs;i co&longs;tuma alli pre&longs;en <lb/>ti tempi nelli alloggiamenti, ma uolendo poi uenir alla frontera, eglie forza u&longs;cir de <lb/>quelli, &longs;i che nel atto del combattere, io non credo, ne reputo, che ue &longs;ia alcun meglior ri <lb/>medio a uoler uinzere, & &longs;uperchiar el nemico, che hauere gente, artegliarie, archibu<gap/><lb/>&longs;i, & archi piu di lui, & per&longs;one pratiche, & e&longs;&longs;ercitate nella guerra.<emph.end type="italics"/> N. Q<emph type="italics"/>ue&longs;to, <lb/>che conclude uo&longs;tra Signoria, &longs;e intende natur almente co&longs;i douer &longs;eguire, cioe non ui <lb/>&longs;e interponendo alcuna artificialita, perche eglie co&longs;a naturale, che el numero maggio <lb/>re in ogni attione &longs;uperi el menore, cioe che lo e&longs;&longs;ercito maggiore &longs;uperi el menore, et <lb/>che el maggior numero de artegliarie, archibu&longs;i, & archi, &longs;iano de molta maggior fac <lb/>cione, che non &longs;ara el menore: ma nelle co&longs;e fatte, & ordinate con arte non &longs;eguita &longs;eni <lb/>pre que&longs;to, perche l'arte tende &longs;empre a l'uno de que&longs;ti dui fini, oueramente ad emitar <lb/>la natura ad ogni &longs;uo potere, oueramente a &longs;upplire alli diffetti di e&longs;&longs;anatura, cioe a fa <lb/>re quelle co&longs;e, che la natura non puo fare, ouer che natur almente non &longs;i po&longs;&longs;ono e&longs;&longs;e<lb/>quire (co&longs;a certamente magnanima, & genero&longs;a)e pero non è da concludere, ne da di <lb/>re, che con arte non &longs;ia poßibile a &longs;uperare quelle co&longs;e, che per natura &longs;iamo uenti.<emph.end type="italics"/><lb/>P. D<emph type="italics"/>apoi che haueti que&longs;ta tal openione, che uia ui pare, che &longs;i potria tenere, ouer <expan abbr="cõ">com</expan> <lb/>che mezzo credeti, che tal co&longs;a pote&longs;&longs;e fare.<emph.end type="italics"/> N. C<emph type="italics"/>irca cio bi&longs;ognaria pen&longs;arui <expan abbr="alquã">alquam</expan> <lb/>to.<emph.end type="italics"/> P. P<emph type="italics"/>en&longs;atigli un poco (dico con &longs;umma diligentia) perche eglie una co&longs;a molto <lb/>importantißima, & nece&longs;&longs;aria a questi tempi, & in cio cono&longs;cero quanto ualeti, per<lb/>che nelle infirmita, che &longs;ono giudicate incurabile, &longs;i cono&longs;ce la &longs;ufficienza del medico.<emph.end type="italics"/><lb/>N. I<emph type="italics"/>o certamente ui pen&longs;aro, ma molto piu con diligentia, quando pre&longs;entiro appro&longs; <lb/>&longs;imar&longs;i el bi&longs;ogno.<emph.end type="italics"/></s>

<s>I<emph type="italics"/>l fine del quarto libro.<emph.end type="italics"/></s><pb/>

<s>LIBRO QVINTO DELLI <lb/>QVESITI, ET INVENTIONI DIVERSE, <lb/>DE NICOLO TARTAGLIA.</s>

<s><emph type="italics"/>Sopra el mettere, ouer tuore rettamente in di&longs;egno con el bo&longs;&longs;olo, li &longs;iti, <lb/>pae&longs;i, & &longs;imelmente le piante delle citta, con el modo de &longs;a<lb/>pere fabricare el detto bo&longs;&longs;olo, & in diuer&longs;i <lb/>modi, la cui &longs;cientia da Ptolomeo è <lb/>detta Chorografia.<emph.end type="italics"/></s>

<s>QVESITO PRIMO FATTO DAL MIO HONO<lb/><emph type="italics"/>rando Compare.<emph.end type="italics"/> M. R<emph type="italics"/>ichardo Ventuorth, gentil'huomo <lb/>della Mae&longs;tà del Re d'inghilterra.<emph.end type="italics"/></s>

<s>RICHARDO. C<emph type="italics"/>ompare carißimo haria molto accaro, che me <lb/>dichiara&longs;ti, come &longs;e poteria mettere in di&longs;egno rettamente un &longs;ito<lb/>ouer un particolar pae&longs;e, & &longs;imelmente la pianta di una citta, la <lb/>cui pratica da Ptolomeo, come &longs;apeti nella &longs;ua Geographia, è det<lb/>ta Chorographia.<emph.end type="italics"/> N. T<emph type="italics"/>al co&longs;a &longs;i puo &longs;are con un bo&longs;&longs;olo artifi<lb/>cialmente fatto con la &longs;ua calamita, che &longs;ia giu&longs;to.<emph.end type="italics"/> R. V<emph type="italics"/>i prego <lb/>me dicati in che forma uol e&longs;&longs;er fatto que&longs;to bo&longs;&longs;olo.<emph.end type="italics"/> N. L<emph type="italics"/>a for <lb/>ma di tal bo&longs;&longs;olo &longs;i puo far in dui modi.<emph.end type="italics"/> L'<emph type="italics"/>uno, qual è il piu communo, &longs;i é à farlo con <lb/>una dioptra, ouer tra&longs;guar do mobile, cioe, che &longs;i puol girare à torno per poter tra&longs;<lb/>guardare in ogni uer&longs;o &longs;econdo che occorre il bi&longs;ogno.<emph.end type="italics"/> L'<emph type="italics"/>altro &longs;i fa da poter&longs;ene&longs;er<lb/>uire&longs;enza quella tal dioptra, ouer tra&longs;guardo mobile, il che è molto accommodo, e di <lb/>menor artificio, ma ben ui oceorre un bo&longs;&longs;olo con una lancetta molto longa.<emph.end type="italics"/> R. M<emph type="italics"/>o <lb/>stratime pur per al pre&longs;ente &longs;olamente quella forma, che é piu in u&longs;o, cioe quella che <lb/>piu &longs;i co&longs;tuma. </s>

<s>perche quando &longs;aro in Inghilterra me ne &longs;appia far far uno.<emph.end type="italics"/> N. L<emph type="italics"/>a <lb/>piu frequentata &longs;i fa in que&longs;to modo. </s>

<s>Prima&longs;e fa far un tondo di lama di rame, ouer di <lb/>ottone gro&longs;&longs;a una co&longs;ta di cortello uel circa el diametro, del qual tondo non uoria e&longs;&longs;er <lb/>men de una&longs;panna, perche quanto piu tal i&longs;trumento è maggiore, tanto piu eglie men <lb/>fallace, uero è, che eglie poi piu di&longs;commodo da portar&longs;e drio, & per questa cau&longs;amol <lb/>ti lo co&longs;tumano piu piccolo a&longs;&longs;ai per e&longs;&longs;er piu commodo, & que&longs;to tal tondo di lama <lb/>&longs;e fa &longs;pianar bemßimo alla mola, & dapoi, che é ben &longs;pianato &longs;opra el centro del mede <lb/>&longs;imo tondo ui &longs;i de&longs;criue prima un cerchio piu &longs;car&longs;o una co&longs;ta di corteilo del tondo di <lb/>detta lama et anchora un'altro piu piccolo di que&longs;to <36> due bone co&longs;te di cortello, et tut <lb/>ta la <expan abbr="circõfer&etilde;tia">circonferentia</expan> del primo cerchio, prima&longs;e diuide <expan abbr="cõ&longs;umma">con&longs;umma</expan> <expan abbr="dilig&etilde;tia">diligentia</expan> in quatro par <lb/>ti equali, et à una di que&longs;te diui&longs;ione ui &longs;e&longs;criue <expan abbr="Leuãte">Leuante</expan>, et all'altra à que&longs;ta oppo&longs;icaui <lb/>&longs;e &longs;criue <expan abbr="Pon&etilde;te">Ponente</expan>, & à quella diui&longs;ione, che é fra queste due uer&longs;o <expan abbr="Tramõtana">Tramontana</expan>, ui&longs;e&longs;cri <lb/>ue Tramontana, & à quella che è uer&longs;o O&longs;tro, ui &longs;e&longs;criue Ostro, & co&longs;i la <expan abbr="circõferen-tia">circonferen<lb/>tia</expan> del detto primo cerchio uenira a e&longs;&longs;er diui&longs;a in le dette quattro parti equali, delle <lb/>quali una uenira à e&longs;&longs;er fra <expan abbr="Leuãte">Leuante</expan>, et <expan abbr="Tramõtana">Tramontana</expan>, et una fra <expan abbr="Tramõtana">Tramontana</expan>, & <expan abbr="Pon&etilde;te">Ponente</expan>,<emph.end type="italics"/><pb pagenum="55"/><emph type="italics"/>& una fra Ponente, & O&longs;tro, & una fra O&longs;tro, & Leuante. </s>

<s>Anchora cadauna di que <lb/>&longs;te quattro parti &longs;e diuide pur in due parti eguali, & quella diui&longs;ione che fra Leuan<lb/>te, & Tramontana, ui &longs;e&longs;criue Grego, & à quella che è fra Tramontana, e Ponente, <lb/>ui &longs;e &longs;criue Mai&longs;tro, & à quella che é fra Ponente, & Ostro, ui &longs;e &longs;criue Gar<lb/>bino. </s>

<s>Et à quella, che è fra O&longs;tro, e Leuante, ui &longs;e &longs;criue Sirocco, & co&longs;i la cir<lb/>conferentia di tal primo cerchio uenira à e&longs;&longs;er diui&longs;a in otto parti eguali, & cadaun<lb/>di quelle diui&longs;ioni &longs;e chiama uento, e pero tal circonferentia &longs;era diui&longs;a in otto uenti, <lb/>& cadauno de quelli &longs;i chiama, come di &longs;opra è &longs;tato detto, nondimeno per abbreuia<lb/>&longs;crittura in luoco di Leuante, ui &longs;e &longs;criue un.<emph.end type="italics"/> L.<emph type="italics"/>et in luoco di Ponente, ui &longs;e &longs;criue un.<emph.end type="italics"/> P. <lb/><emph type="italics"/>& in luoco di Tramontana, ui &longs;e &longs;criue un.<emph.end type="italics"/> T.<emph type="italics"/>& in luoco di O&longs;tro, ui &longs;e &longs;criue un.<emph.end type="italics"/> O. <lb/><emph type="italics"/>& in luoco di Grego, ui&longs;e &longs;criue un.<emph.end type="italics"/> G.<emph type="italics"/>& in luoco di Garbino, ui&longs;e &longs;criue un'altro.<emph.end type="italics"/> G. <lb/><emph type="italics"/>& in luoco di Mai&longs;tro, ui &longs;e &longs;criue un.<emph.end type="italics"/> M.<emph type="italics"/>& in luoco de Sirocco, ui &longs;e &longs;criue un.<emph.end type="italics"/> S.<emph type="italics"/>co<lb/>me di &longs;otto nella figura appare. </s>

<s>Anchora &longs;e diuide cadauna di quelle ottaue parti di det <lb/>ta circon&longs;erentia, primamente in tre partieguali, & cadauna di quelle terze parti &longs;e <lb/>diuide anchora in altre tre partieguali, & cadauna di queste ultime parti (e&longs;&longs;endo lo <lb/>detto tondo di lamma, di competente grandezza) &longs;i debbono ultimamente diuidere in <lb/>tinque parti eguali, il che facendo &longs;e trouara tutta la circonferentia del detto primo ce<gap/><lb/>chio e&longs;&longs;er diui&longs;a in.360.parti eguali (&longs;econdo l'ordine, & diui&longs;ione delli antichi cho<lb/><gap/>ographi) & cadauna di que&longs;te tal parti&longs;e chiama grado, & accio che tai diui&longs;ioni, &longs;ia <lb/>no apparente &longs;e &longs;egnano cadauna con una linceta long a una meggia co&longs;ta di cortello, et <lb/>que&longs;te tai lineete (accio che tutte tendano al centro di tal cerchio) &longs;e de&longs;criuono con <lb/>unaregagiu&longs;tando talrega con il centro di tal cerchio, & con il ponto di quella diui&longs;io <lb/>ne che &longs;i uol &longs;ignare nella detta circonferentia, & accio che tai diui&longs;ioni &longs;i po&longs;&longs;ano con <lb/>facilita numer are (occorrendo il bi&longs;ogno) à ogni cinque de tai diui&longs;ioni piccole ui &longs;e &longs;a <lb/>una diui&longs;iont che trauer&longs;i tutto quel &longs;pacio che è fra la circonferentia del detto primo <lb/>cerchio, & la circonferentia del &longs;econdo. </s>

<s>Ma &longs;e per ca&longs;o il &longs;opradetto tondo di lamma, <lb/>fu&longs;&longs;e talmente piccolo, che quelle ultime terze partinon fu&longs;&longs;eno atte, per la &longs;ua picco<lb/>lezza, à e&longs;&longs;er diui&longs;e nelle &longs;opradette cinque parti eguali, &longs;e la&longs;&longs;ariano &longs;tar co&longs;i, per il<lb/>che la circonferentia del detto primo cerchio ueneria à e&longs;&longs;er diui&longs;a &longs;olamente in.72. <lb/>partieguali, onde facendo tai.72.parti, apparente con il tirarui quella lineeta per fi<lb/>na alla circon&longs;erentia del menor cerchio &longs;econdo l'ordine detto di&longs;opra, cioe che tutte <lb/>le dette lineete <expan abbr="tendanõ">tendanon</expan> al centro delli detti cerchij, &longs;i come appare nella figura &longs;otto<lb/>&longs;critta, ma bi&longs;ognanotare che &longs;i ben la circonferentia di tallamma, per la &longs;ua piccoleæ <lb/>za, &longs;ara diui&longs;a&longs;olamente nelle &longs;opradette.72.partieguali, come nella detta &longs;otto&longs;crita <lb/>figura appare, nondimeno tutta la detta circonferentia con lo intelletto &longs;e debbe inten<lb/>dere e&longs;&longs;er diui&longs;a pur nelle dette.360.partieguali, cioe in.360.gradi, & pero nel com<lb/>putar le &longs;otto&longs;critte.72.diui&longs;ioni, per cadauna di quelle, ui &longs;e computa cinque gradi, <lb/>perche.5.fia.72.uien à fare li detti.360.gradi, & dapoi che &longs;e haueran fatte tutte <lb/>que&longs;te co&longs;e, ouer diui&longs;ioni, ui &longs;e debbe far a&longs;&longs;aldare una armilla della mede&longs;ima &longs;orte di <lb/>banda di ottone, ouer di rame à torno al centro, cioe uno cerchio della detta banda lar<lb/>ga almen dul dedi, qual uenghi affare à modo di una &longs;catolina à torno al detto centro <lb/>della detta prima lamma circolare, talmente che &longs;ia concentrica con quella, & nel cen-<pb/>tro poiui &longs;e de far a&longs;&longs;ettar una ponta alta circa per la mita della detta &longs;catolina, e que<lb/>&longs;ta ponta è per metterui &longs;u&longs;o la lanzetta acconcia con la calamita, alla &longs;imilitudine di <lb/>quelle, che hanno quelli horologietti, che uengono de Alamagna, ma alquanto piu gran<lb/>da, & nel fondo di questa &longs;catola ui &longs;e de &longs;egnar una linea qua&longs;i alla &longs;imilitudine della <lb/>lanzetta che uada da. </s>

<s><expan abbr="Tramõtana">Tramontana</expan> uer&longs;o O&longs;tro rettamente, accio che &longs;i po&longs;&longs;a cono&longs;cere <lb/>quando che il bo&longs;&longs;olo &longs;ia ben a&longs;&longs;ettato (perche il <lb/>bo&longs;&longs;olo &longs;e intende e&longs;&longs;er ben a&longs;&longs;ettato, quando che <lb/>la ponta della dettalanzetta guarda rettamente <lb/>uer&longs;o la Tramontana (&longs;i come nella figura appa<lb/>re) la qual co&longs;a facilmente &longs;i cono&longs;ce per meggio <lb/>della detta linea, cioe come &longs;e fa preci&longs;o con li &longs;o<lb/>pradetti horologietti quando &longs;e uol &longs;aper quan<lb/><gap/>e hore &longs;ono, & fatto que&longs;to ui&longs;e de poner la det <lb/>ta lanzetta acconcia (come è detto) con la cala<lb/>mita, & dapoi &longs;i fa un coperchio alla detta &longs;ca<lb/>tolina de uitrio chiaro, come &longs;e co&longs;tuma alli bo&longs;-<emph.end type="italics"/><lb/><figure id="fig20"></figure><lb/><emph type="italics"/>&longs;oli da nauicare, accio &longs;i po&longs;&longs;a uedere il &longs;tar, & l'andar della detta lanzetta, & dopo <lb/>que&longs;to ui&longs;e de metter una dioptra, ouer tra&longs;guardo, la qual dioptra, ouer tra&longs;guardo <lb/>&longs;olea co&longs;tumar&longs;i alla &longs;imilitudine della prima figura.a.b.con quelli dui bracci.c.d.&.e. <lb/>&longs;.il qual modo <21> mettere in di&longs;&longs;egno un pae&longs;e era <expan abbr="&longs;offici&etilde;te">&longs;officiente</expan> a&longs;&longs;ai, ma <21> mettere in di&longs;&longs;e <lb/>gno la <expan abbr="piãta">pianta</expan> de una citta era <expan abbr="alquãto">alquanto</expan> <expan abbr="di&longs;cõmodo">di&longs;commodo</expan>, onde <21> farlo piu <expan abbr="accõmodo">accommodo</expan>, & genera <lb/>le ui &longs;e co&longs;tuma à ponerui un'altro tra&longs;uer&longs;o in croce, <21> <expan abbr="fettam&etilde;te">fettamente</expan> &longs;quadra <expan abbr="eß&etilde;pi">eßempi</expan> gratia <lb/>à quella armilla uacua.a.b.ui &longs;e a&longs;&longs;alda prima nelli dui bracci.c.d.et.e.f.della principal <lb/>dioptra, ouer tra&longs;guardo, con quelle due lamette in alto elleuate nelle istremita di quel<lb/>la, con uno bu&longs;ettino in cadauna da tra&longs;guardare, per quelli le co&longs;e che accadera, à ben <lb/>che anchor due pontine acute &longs;eruiriano, &longs;i come quelli dui bu&longs;ettini, & for&longs;i meglio, <lb/>& dapoi ui &longs;e &longs;alda anchora quelli altri dui brazzetti.g.h.&.i.<emph.end type="italics"/>k.<emph type="italics"/>per fettamente in cro <lb/>ce, cio perfettamente à &longs;quara &longs;opra la principal dioptra, & nel capo dell'un de questi <lb/>&longs;econdi bracciui &longs;i a&longs;&longs;etta, ouer &longs;alda quell'altro brazzetto.l.m.pur à &longs;quadra, come <lb/>nella &longs;econda figur a appare, & la forma di quala &longs;i uoglia delle due &longs;otto&longs;critte &longs;orte <lb/>de dioptreuol e&longs;&longs;ere totalmente fabricata che la detta armilla.a.b.&longs;ia de tal grandez-<emph.end type="italics"/><lb/><figure id="fig21"></figure><pb pagenum="56"/><emph type="italics"/>za che ui po&longs;&longs;a entrare &longs;azzatamente quell'altra armilla, ouer &longs;catolina del &longs;opra<lb/>&longs;critto no&longs;tro <expan abbr="istrom&etilde;to">istromento</expan>, et che quelli dui, ouer quattro bracci, cioe.c.d.e.f.g.b.&.i.<emph.end type="italics"/>k. <lb/><emph type="italics"/>&longs;iano talmente fabricati che dall'una, & l'altra banda dimo&longs;trino giustamente li gradi <lb/>&longs;epra la prima lamma circolare gia &longs;ignati, & li dui principali, cioe.c.d.&.e.f.uoleno <lb/>e&longs;&longs;er di tanta longhezza che dall'una, & l'altra banda ufci&longs;cano alquanto fuora del <lb/>cerchio della no&longs;tra prima lamma circolare, & nella istremita dell'uno, & l'altro de <lb/>que&longs;ti dui bracci ui &longs;e &longs;alda le &longs;opradette due lamette, ouer figure quadrangole in alte <lb/>elleuate di tal altezza che &longs;opra auanzano la altezza della &longs;catolina del no&longs;tro bo&longs;&longs;o<lb/>lo, & talmente larghe, che facendoli uno bu&longs;ettino in meggio di cadauna di quelle, cioe <lb/>in quella parte che &longs;operchia di &longs;opra del detto bo&longs;&longs;olo, uno rettamente oppo&longs;ito all al <lb/>tro, talmente che tra&longs;guardando per li detti dui bu&longs;ettini la no&longs;tra linea ui&longs;uale tran&longs;i<lb/>&longs;ca preci&longs;amente &longs;opra al centro del cerchio del detto no&longs;tro i&longs;tromento, & dapoi tal <lb/>dioptra &longs;i debbe con diligentia inca&longs;&longs;are &longs;opra al detto no&longs;tro bo&longs;&longs;olo, cioe &longs;opra à quel <lb/>la armilla, ouer &longs;catolina, che interchiude il detto bo&longs;&longs;olo, ilche facendo il detto no&longs;tro <lb/>i&longs;tromento &longs;tara preci&longs;amente, come di &longs;otto appare in figura, & la dioptra, ouer tra&longs; <lb/>guardo, &longs;ara girabile, cioe che la &longs;e potragir are per ogniuer&longs;o à torno à torno, et per <lb/>quelli dui bu&longs;ettini, che &longs;ar anno in quelle due lamette quadrangole in alto elleuate, &longs;e po <lb/>tratra&longs;guardar con un'occhio li &longs;egni, & termini, che &longs;i uorra uedere, come per l'aue<lb/>nire per e&longs;&longs;empio &longs;e mo&longs;trara, uero è, che in luoco de quelli dui bu&longs;ettini à me mi pia-<emph.end type="italics"/><lb/><figure id="fig22"></figure><lb/><emph type="italics"/>ce, & me pare anchora piu &longs;pediente due pontine acute, come di&longs;opra dißi.<emph.end type="italics"/> R. Q<emph type="italics"/>ue<lb/>&longs;ta forma de i&longs;tromento molto mi piace, dimane parlaremo poi del modo di operarlo.<emph.end type="italics"/></s>

<s>QVESITO SECONDO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> M.R<emph type="italics"/>ichardo Ventuorth.<emph.end type="italics"/></s>

<s>RICHARDO. H<emph type="italics"/>or uorria Compare che &longs;otto breuita me dichiar asti il <lb/>modo <lb/>di operare l'i&longs;tromento, che hieri me in&longs;igna&longs;ti à fare.<emph.end type="italics"/> N. P<emph type="italics"/>er uoler operar <lb/>tal i&longs;tromento à uoler mettere in di&longs;&longs;egno qualche &longs;ito, ouer pae&longs;e, bi&longs;ogna hauere un <lb/>ba&longs;tone longo, circa piedi tre, & che tal ba&longs;ione in un di capi habbia un ferro ap<lb/>pontito, per poter lo piantare in terra, & dall'altro capo un tondo di legno alla gran<lb/>dezza dello i&longs;tromento con un poco di orlo, che &longs;ia atto à tener tale i&longs;tromento <pb/>inca&longs;&longs;ato, & fermo in cima de quel tal bastone, come di&longs;otto appare in &longs;igura, & che <lb/>cal orlo &longs;ia tanto ba&longs;&longs;o che il non impedi&longs;ca il poter girar la dioptra in ogni uer&longs;o.<emph.end type="italics"/> R. <lb/>N<emph type="italics"/>on &longs;e potria far &longs;aldar un canon di banda bu&longs;o &longs;otto à tal i&longs;tromento per &longs;icar dentro <lb/>tal ba&longs;tone, ouer una ponta da poterlo piantar in cima di tal ba&longs;tone, facendo prima un <lb/>bu&longs;o nella cima di tal bastone.<emph.end type="italics"/> N. L'<emph type="italics"/>uno è l'altro de que&longs;ti, daria impedimento per <lb/>mettere tal di&longs;&longs;egno in carta, come alli &longs;uoiluochi &longs;i potra giudicare.<emph.end type="italics"/> R. S<emph type="italics"/>eguitati.<emph.end type="italics"/><lb/>N. I<emph type="italics"/>nte&longs;o adunque tutte que&longs;te co&longs;e bi&longs;ogna notare, che per mettere in di&longs;&longs;egno un &longs;i<lb/>to, ouer un pae&longs;e, &longs;i puo procedere in dui modi, l'uno è <lb/>à &longs;tare in meggio, cioe dentro dal detto &longs;ito, ouer pae<lb/>&longs;e con il detto i&longs;tromento piantato, fermo è &longs;tabile, & <lb/>l'altro é à andare à torno, à torno per la circonferen<lb/>tia di tal &longs;ito, ouer pae&longs;e.<emph.end type="italics"/> R. Q<emph type="italics"/>ual è meglio de que&longs;ti <lb/>dui modi.<emph.end type="italics"/> N. C<emph type="italics"/>ertamente piu giusto, ouer men fal<lb/>lace riu&longs;cira tal di&longs;&longs;egno à &longs;tare fermo è fi&longs;&longs;o nel meg<lb/>gio, cioe dentro di tal &longs;ito, ouer luoco, perche in ogni <lb/>tra&longs;mutatione che &longs;i fa del detto bu&longs;&longs;olo nel tra&longs;por<lb/>tario da un luoco in un'altro &longs;empre &longs;e incorre in qual<lb/>che poco di errore, & perche à tuor in di&longs;&longs;egno un luo <lb/>co, ouer &longs;ito andando per la circonferentia di quello &longs;e <lb/>famolte tra&longs;mutationi, del detto bo&longs;&longs;olo, come per lo<emph.end type="italics"/><lb/><figure id="fig23"></figure><lb/><emph type="italics"/>auenire &longs;e potrauedere, e pero delli molti pochi errori &longs;e ne uiene à cau&longs;are poila mag <lb/>gior parte delle uolte, in fine uno maggiore.<emph.end type="italics"/> R. M<emph type="italics"/>o&longs;tratime adunque quello che de <lb/>&longs;tar dentro in meggio, perche l'altro e&longs;&longs;endo co&longs;i fallace non me ne curo.<emph.end type="italics"/> N. A<emph type="italics"/>nci é <lb/>nece&longs;&longs;ario, che uoi intendiati l'uno è l'altro modo perche non &longs;empre &longs;i puo tuor in di&longs;<lb/>&longs;egno un &longs;ito, ouer pae&longs;e à star dentro nel detto &longs;ito, perche &longs;pe&longs;&longs;e uolte ui &longs;e troua del <lb/>li arbori, monticelli, ca&longs;amenti, & altre co&longs;e, che impedi&longs;cono il poter uedere tutti li <lb/>termini di tal &longs;ito, alcuna fiata per la grandezza &longs;ua non &longs;i potra e&longs;&longs;equire tal effetto à <lb/>star co&longs;i fermo nel meggio anchor che non ui fu&longs;&longs;e arbori, ne altri impedimenti, come <lb/>che uole&longs;&longs;e mettere in di&longs;&longs;egno uno grandißimo pae&longs;e, che per la &longs;ua grandezza in al<lb/>cun luoco dentro di quello non &longs;i pote&longs;&longs;e uedere tutti li &longs;uoitermini, e pero quantunque <lb/>il modo di quelluor in di&longs;&longs;egno à &longs;tar dentro di tal &longs;ito, ouer luoco &longs;ia piu giu&longs;to, ouer <lb/>men fallace dell'altro, nondimeno l'altro è poi piu generale, perche con quello &longs;e puo <lb/>operare, &longs;i nelli pae&longs;i grandi, come nelli piccoli, o con arbori, monti, & ca&longs;amenti, co<lb/>me e&longs;&longs;endo piani, & con questo tale &longs;i puol tuor in di&longs;&longs;egno, non &longs;olamente le piante del <lb/>le citta, ma anchora tutto il territorio di quelle, et &longs;imilmente I&longs;ole, prouincie, & altre <lb/>co&longs;e &longs;imile.<emph.end type="italics"/> R. A<emph type="italics"/>dunque me li dichiarereti ambi dui. </s>

<s>tamen cominciatemi prima à di <lb/>chiarire quel primo modo, cioe à &longs;tar dentro nel meggio di tal &longs;ito, ouer pae&longs;e, & da<lb/>poi me dichiarereti l'altro.<emph.end type="italics"/> N. A<emph type="italics"/>ccio che meglio me intendiati, &longs;upponeremo che il <lb/>&longs;ia uno pae&longs;etto de cinque fazze, ouer lati, alla &longs;imilitudine della &longs;otto&longs;critta figura. <lb/>a.b.c.d.e.& che &longs;ia di tal qualita, che &longs;tando dentro in meggio, ouer circa al meggio di <lb/>quella, & che facendo poi piantar una bacchetta in cadauno di quelli cinque angoli, <lb/>ouer cantoni che tai bacchette &longs;i po&longs;&longs;ano uedere à una per una, hor dico, che à uoler<emph.end type="italics"/><pb pagenum="57"/><emph type="italics"/>metter rottamente in di&longs;egno&longs;opra à uno foglio di carta un'altra figura &longs;imile alla <lb/>propo&longs;ia.a.b.c.d.e.el &longs;i debbe far piantare una bacchettina per cia&longs;caduno delli detti <lb/>cinque angoli, ouer <expan abbr="cãtoni">cantoni</expan>.a.b.c.d.e.& dapoiel &longs;i debbe intrare nel detto &longs;ito, ouer lo <lb/>co, & andare nel mezzo di quello, ouer cir ca al mezzo (perche piue manco del mez<lb/>zo non importa, & iui piantarui quel ba&longs;tone con el detto no&longs;tro bo&longs;&longs;olo in cima, et da <lb/>poi che &longs;ara piantato bi&longs;ognara torzerlo, & fermarlo talmente, che el detto bo&longs;&longs;olo <lb/>&longs;tia ben a&longs;&longs;ettato, cioe, che la lenguella della calamita stia giu&longs;ta &longs;econdo el &longs;uo ordine, <lb/>come fu detto di &longs;opra, cioe, che la ponta di detta lenguella, ouer lanzetta guardi retta <lb/>mente uer&longs;o la Tramontana del detto i&longs;trumento, il che &longs;i cono&longs;ce facilmente per mez <lb/>zo di quella linea, che ua da Tramontana al O&longs;tro, di &longs;otto della detta lenguella, ouer <lb/>lanzetta, cioe, come &longs;e co&longs;tuma in a&longs;&longs;ettar quelli horologietti, che uien de Alemagna, <lb/>quando &longs;e uol &longs;aper quante hore &longs;ono, con el &longs;ole, & dapoi che tal i&longs;trumento &longs;ara tal <lb/>mente a&longs;&longs;ettato, el &longs;i de girar la dioptra, ouer tra&longs;guardo del detto i&longs;trumento, <expan abbr="talm&etilde;">talmen</expan> <lb/>te che cignando con uno occhio per quelli dui bu&longs;ettini della detta dioptra (&longs;e tal dio<lb/>ptra hauera detti bu&longs;ettini) chel &longs;i ueda una di quelle.5.bacchette piantate, ouer amente <lb/>&longs;e la detta dioptra non hauer a li detti dui bu&longs;ettini, ma che haue&longs;&longs;e quelle due pontine <lb/>acute, come di &longs;opra fu detto, le qual due pontine à me mi pareno molto pin accommo <lb/>de che li hu&longs;i, el &longs;i de guardare una di dette bacchette, & uoltar tanto la detta dioptra, <lb/>che la line a ui&longs;uale &longs;e incontri con le dette due pontine de detta dioptra, & con quella <lb/>bacchetta che &longs;i guardara, & fatto questo el &longs;i de annotare &longs;opra una policetta, per <lb/>qual grado (de quelli.360.&longs;e &longs;aranno.360.oueramenta de quelle.72.parti &longs;el detto i<lb/>&longs;trumento &longs;ara diui&longs;o in.72.parti à gradi.5.per parte, pa&longs;&longs;ara la detta linea ui&longs;uale (il <lb/>qual grado la dioptra lo fara manife&longs;to) & per e&longs;&longs;er impoßibile à dar in un piccol &longs;pa <lb/>tio perfetto e&longs;&longs;empio in figura à que&longs;ta materia, &longs;e sforzaremo al men con parole di <lb/>&longs;upplire à quello, che non &longs;i puo dar in figura, hor poniamo che à tra&longs;guardare quella <lb/>bacchetta po&longs;ta in <expan abbr="põto">ponto</expan>.a.la no&longs;tra linea ui&longs;uale paßi alli.3.gradi de Sirocco uer&longs;o<emph.end type="italics"/> O<lb/><emph type="italics"/>&longs;tro, fatto que&longs;to, el &longs;i de mi&longs;urare, ouer far mi&longs;urare <expan abbr="quãto">quanto</expan> è dal pede del no&longs;tro i&longs;tr<gap/><emph.end type="italics"/><lb/><figure id="fig24"></figure><pb/><emph type="italics"/>mento alla detta bacchetta po&longs;ta in ponto.a.hor poniamo che ui &longs;ia pa&longs;&longs;a.54.hor dico, <lb/>che di tutto que&longs;to &longs;e ne debbe far memoria&longs;opra una policetta in que&longs;ta forma, cioe à <lb/>gradi tre de Sirocco uer&longs;o Ostro pa&longs;&longs;a.54.fatto que&longs;to, el &longs;i de uoltar la detta dioptra <lb/>(stando pero lo i&longs;trumento &longs;empre fermo e fi&longs;&longs;o &longs;econdo el &longs;uo ordine) talmente, che <lb/>per el mede&longs;imo modo el &longs;i ueda l'altra bacchetta che &longs;eguita, poniamo quella po&longs;ta in <lb/>ponto.b.& ui&longs;to, et notato el grado, etiam la di&longs;tantia, che &longs;ara dal pie del no&longs;tro i&longs;tru <lb/>mento per fin al ponto.b.&longs;opra la nostra polizetta alla &longs;imilitudine dell'altra, & con <lb/>tal modo, e uia &longs;i de procedere à cadauna delle altre tre bacchette poste nelli altri tre <lb/>angoli, ouer cantoni.c.d, &.e.& per abbreuiar &longs;crittura, poniamo che le dette cinque <lb/>di&longs;tantie annotate &longs;opra alla detta polizetta uadano, & &longs;iano tanto quanto qua di &longs;ot <lb/>to appare, perche co&longs;i debbono e&longs;&longs;er notate.<emph.end type="italics"/><lb/>A <emph type="italics"/>gradi. </s>

<s>3. de Siroccouer&longs;o O&longs;tro pa&longs;&longs;a.<emph.end type="italics"/> 54. <lb/>A <emph type="italics"/>gradi. </s>

<s>29. de Greco uer&longs;o Leuante pa&longs;&longs;a.<emph.end type="italics"/> 63. <lb/>A <emph type="italics"/>gradi. </s>

<s>28. de Tramontana uer&longs;o Greco pa&longs;&longs;a.<emph.end type="italics"/> 81. <lb/>A <emph type="italics"/>gradi. </s>

<s>9. de Mai&longs;tro uer&longs;o Ponente pa&longs;&longs;a.<emph.end type="italics"/> 72. <lb/>A <emph type="italics"/>gradi. </s>

<s>5. de Garbino uer&longs;o O&longs;tro pa&longs;&longs;a.<emph.end type="italics"/> 62. </s>

<s>H<emph type="italics"/>or fatto que&longs;to, &longs;e de cauare lo istrumento, & andar&longs;ene à ca&longs;a con la &longs;opradetta &longs;ua <lb/>poliza, & quando lí pare di uoler mettere in di&longs;&longs;egno quella tal figura de pae&longs;e &longs;opra <lb/>una carta, ouer tela primamente el &longs;i debbe di&longs;tendere quella tal carta, ouer tela &longs;opra <lb/>una tabula pianißima, & &longs;opra à quella imbroccaruela, ouer taccaruela con cera tal<lb/>mente, che la non &longs;i po&longs;&longs;a muouere, & dapoi tirare una linea retta, in mezzo di quella <lb/>tal carta, ouer tela alla &longs;imilitudine della &longs;otto&longs;critta linea.a.b.& al mezzo di quella <lb/>a&longs;&longs;ettarui el detto nostro istrumento, talmente, che la detta linea uenghi à pa&longs;&longs;ar per <lb/>el centro del detto i&longs;trumento, & che anchor el detto i&longs;trumento ui &longs;tia &longs;opra ben agiu <lb/>stato, cioe, che la &longs;ua lanzetta &longs;tia &longs;econdo el &longs;uo debito ordine (piu uolte detto) & da <lb/>poi da l'una e l'altra parte del detto i&longs;trumento el &longs;e die di&longs;tinguere quella parte della <lb/>detta linea.a.b.che uien à e&longs;&longs;er &longs;otto al i&longs;trumento (cioe coperta da quello) da quella, <lb/>che é di&longs;coperta con dui piccoli ponti, quali&longs;iano li dui ponti.c.&.d.et questo &longs;i fa per <lb/>poter ritrouar con facilita el luoco, doue &longs;e ripoßi el centro del detto i&longs;trumento, per<lb/>che la detta parte.c.d.uien à e&longs;&longs;er equal al diametro del detto i&longs;trumento, & pero nel <lb/>mezzo di quella, cioe in ponto.e.&longs;e ripo&longs;ara el centro del detto i&longs;trumento. </s>

<s>Dapoi che <lb/>&longs;e hauera fatte que&longs;te co&longs;e, el &longs;i de &longs;ignar.5.ponti &longs;opra alla detta carta à torno del i-<emph.end type="italics"/><lb/><figure id="fig25"></figure><lb/><emph type="italics"/>&longs;trumento &longs;econdo l'ordine della no&longs;tra polizetta, cioe uno à dirimpetto alli.3.gradi <lb/>de Sirocco uer&longs;o O&longs;tro, & co&longs;i un'altro à derimpetto delli.29.gradi de Greco uer&longs;o <lb/>Leuante, co&longs;i un'altro à dirimpetto delli.28.gradi de Tramontana uer&longs;o Greco, & <lb/>un'altro alli.9.gradi de Mai&longs;tro uer&longs;o Ponente, & un'altro alli.5.gradi di Garbino <lb/>uer&longs;o O&longs;tro el giu&longs;to loco da &longs;egnar li &longs;opradetti.5.ponti &longs;i troua per mezzo della dio <lb/>ptra, cioe uoltando prima la detta dioptra talmente, che la &longs;e ripoßi giustamente alli <lb/>detti.3.gradi de Sirocco uer&longs;o O&longs;tro, & &longs;econdo l'ordine di quel poco brazzo della <lb/>detta dioptra, che pa&longs;&longs;a fuora del i&longs;trumento, &longs;ignar el detto ponto &longs;u la carta perpen<emph.end type="italics"/><pb pagenum="58"/><emph type="italics"/>dicolarmente &longs;otto al loco doue procede la no&longs;tra linea ui&longs;uale per quelli dui bu&longs;etti<lb/>ni, ouer per quelle due ponte, & &longs;ignato quel tal ponto, uoltar la detta dioptra, & <lb/>giu&longs;tarla alli.29.gradi di Greco uer&longs;o Leuante, come parla la polizetta, & &longs;iguar el <lb/>&longs;econdo ponto, & co&longs;i andar procedendo alli.28.gradi di Tramontana uer&longs;o Greco, <lb/>& alli.9.gradi di Mai&longs;tro uer&longs;o Ponente, & ultimamente alli.5.gradi di Garbino uer <lb/>&longs;o O&longs;tro, come con lo intelletto facilmente &longs;i puo comprender &longs;opra la figura &longs;equen<lb/>te, & dapoi che &longs;e hauera &longs;ignati li detti ponti, &longs;e potra leuar lo detto i&longs;trumento, & <lb/>&longs;ignar el luoco doue &longs;e ripo&longs;&longs;auael centro di quello (come di &longs;opra dißi e&longs;&longs;er nella mit<lb/>ta della &longs;opradetta partial linea.c.d.in ponto.e.) & dal detto centro, con una rega, <lb/>ouer una regola tirar.5.linee de indiffinita quantita, che paßino per li detti.5.ponti, <lb/>cioe la prima dal detto centro al primo ponto, cioe a quello &longs;ignato alli.3.gradi de Si<lb/>rocco uer&longs;o O&longs;tro, & quella tirarla de longo &longs;enzafarui termine, & co&longs;i procedere <lb/>alli altri quattro ponti, & dapoi che &longs;e haueran tirate le dette.5.linee, di cadauna di <lb/>quelle bi&longs;ognara cauarne com un compa&longs;&longs;o una parte de <expan abbr="tãte">tante</expan> mi&longs;urette, ouer apriture <lb/>di compa&longs;&longs;o, quanto &longs;aranno li paßi della &longs;ua relatiua nella no&longs;tra polizetta, <expan abbr="comenzã">comenzam</expan> <lb/>do pero &longs;empre à mi&longs;urare à quel loco, doue &longs;e ripo&longs;&longs;aua el centro del nostro istrumen <lb/>to, cioe à quel ponto.e. (di &longs;opra detto) e&longs;&longs;empi gratia, da quella linea, che pa&longs;&longs;ara per <lb/>li.3.gradi di Sirocco uer&longs;o O&longs;tro, &longs;e ne douer a mi&longs;urar fora.54.apriture di compaßo, <lb/>per e&longs;&longs;er la &longs;ua relatiua nella polizetta pa&longs;&longs;a.54.et in capo delle dette.54.apriture di <lb/>compa&longs;&longs;o, ui &longs;e douera far un ponto fermo <expan abbr="terminãte">terminante</expan> detta linea, & co&longs;i &longs;enza mouere <lb/>il <expan abbr="cõpa&longs;&longs;o">compa&longs;&longs;o</expan>, cioe <expan abbr="cõ">com</expan> la mede&longs;ima apritura, &longs;i debbe mi&longs;urare fuora à cadauna delle altre <lb/>quattro linee, <expan abbr="tãte">tante</expan> apriture, quanto &longs;ara el numero di pa&longs;&longs;a della &longs;ua relatiua nella no <lb/>&longs;tra polizetta, cioe à quella che pa&longs;&longs;a per li.29.gradi di Greco uer&longs;o <expan abbr="Leuãte">Leuante</expan>, <21> e&longs;&longs;ere <lb/>la &longs;ua relatiua pa&longs;&longs;a.63.&longs;e ne mi&longs;urara fuora.63.apriture di <expan abbr="cõpa&longs;&longs;o">compa&longs;&longs;o</expan>, et in fine di <34>lla <lb/>farui un ponto fermo, & co&longs;i <21> non abondar in parole, de l'altra con&longs;equente &longs;e ne do <lb/>uer a mi&longs;urar fuora.81 & far ponto, & de l'altra.72.& della ultima.62.emezzo, <lb/>& in fine di cadauna di quelle farui un ponto fermo (come di &longs;opra fu detto) & fatto <lb/>que&longs;to, el &longs;i de congiongere li detti.5.ponti fermi con.5.linee rette, le quale.5.linee ti<lb/>rate, che &longs;iano, repre&longs;entaranno li.5.lati del no&longs;tro &longs;ito, ouer pae&longs;e proportionalmen<lb/>te, come di &longs;otto appare in figura, cioe, che tal piccol di&longs;egno, ouer figura &longs;ara &longs;imile à <lb/>quella figura del no&longs;tro pae&longs;e, ouer &longs;ito, & langolo.a.della &longs;otto&longs;critta figura &longs;ara re <lb/>latiuo, & equale a langolo.a.della figura del no&longs;tro pae&longs;e, & langolo.b.a langolo.b. <lb/>& co&longs;i tutti li altri al &longs;uo relatiuo. </s>

<s>Et bi&longs;ogna notar, che quantunque io habbia ti<lb/>rate quelle.5.linee, che uien dal centro à cia&longs;cun angolo del no&longs;tro di&longs;&longs;egno, tutte ap<lb/>parente (come nella figura appare) nondimeno uoleno e&longs;&longs;er tirate occulte, cioe &longs;enza <lb/>inchio&longs;tro, perche gua&longs;tano la figura, ma co&longs;i le ho tirate, accio che uoi intendiate me<lb/>glio la co&longs;a. </s>

<s>Anchor bi&longs;ogna notar, che per mi&longs;urar fora delle &longs;opra &longs;critte.5.linee <lb/>quelle apriture di <expan abbr="cõpaßo">compaßo</expan> che bi&longs;ogna, <expan abbr="cõ">com</expan> piu breuita, &longs;e puo &longs;ignar dacanto una lineet <lb/>ta de.100.apriture di <expan abbr="cõpaßo">compaßo</expan>, ouer de piu, <expan abbr="&longs;ecõdo">&longs;econdo</expan> che tal pae&longs;e &longs;ara <expan abbr="grãde">grande</expan>, ouer picco <lb/>lo, et <34>lla tal lineetta diuiderla <expan abbr="&itilde;">im</expan> parte a.10.apritura <21> parte, et que&longs;ta tal linea &longs;e chia <lb/>ma &longs;chala della no&longs;tra mi&longs;ura, et quando poi occorreße de mi&longs;urare &longs;ora da una data <lb/>linea una qualche <expan abbr="grã">gram</expan> <expan abbr="distãtia">distantia</expan>, ouer <expan abbr="lõghezza">longhezza</expan>, poniamo una <expan abbr="lõghezza">longhezza</expan> de.795.pa&longs;&longs;a,<emph.end type="italics"/><pb/><figure id="fig26"></figure><lb/><emph type="italics"/>&longs;e tal no&longs;tra&longs;cala &longs;ara &longs;uppo&longs;ta poniamo de cento apriture di compa&longs;&longs;o, le quale repre <lb/>&longs;enta&longs;&longs;e.100.pa&longs;&longs;a, prima con un compa&longs;&longs;o largo alla equalita di tal &longs;cala, &longs;e mi&longs;urara <lb/>fora &longs;ette apriture di quel tal compa&longs;&longs;o, le quale denotaranno.700.pa&longs;&longs;a, dapoi &longs;e re <lb/>&longs;tringera el detto compa&longs;&longs;o alla equalita de una decima parte de tal &longs;cala, la quale re<lb/>pre&longs;entara dieci pa&longs;&longs;a, & <expan abbr="cõ">com</expan> tal apritura &longs;e mi&longs;urara fora anchora.9.e meggio di tal <lb/>apriture, & co&longs;i &longs;e hauera mi&longs;urato fuora li &longs;opradetti pa&longs;&longs;a &longs;ettecento nouantacin<lb/>que, & questo &longs;i fa, perche &longs;aria co&longs;a molto longa à uoler &longs;tare à mi&longs;ur are una tanta <lb/>gran quantita di pa&longs;&longs;a, con una apritura di compa&longs;&longs;o che repre&longs;enta&longs;&longs;e un &longs;ol pa&longs;&longs;o, & <lb/>maßime, che tal hora el di&longs;&longs;egno &longs;i uora far tanto piccolo, che un pa&longs;&longs;o non&longs;aria quan<lb/>tita &longs;en&longs;ibile, & per que&longs;to &longs;empre &longs;i co&longs;tuma far la detta linea (chiamata &longs;cala) & <lb/>quella &longs;e &longs;uppone de quanti pa&longs;&longs;a pare all'operante, nondimeno la maggior parte la <lb/>&longs;uppone de cento pa&longs;&longs;a nelle di&longs;cretion piccole, ma nelle grande in Geographia &longs;e &longs;up<lb/>pongano de milliari, & non de pa&longs;&longs;a, cioe de cento, ouer piu milliari. </s>

<s>Anchora bi&longs;ogna <lb/>notar, che quella prima linea, che di &longs;opra fu detto, che &longs;i debbe tirare in mezzo della <lb/>carta, doue &longs;e uol de&longs;criuere el nostro di&longs;&longs;egno (cioe quella linea.a.b.) la &longs;e puo fuppo<lb/>nere, che uada rettamente da Leuante à Ponente, ouer da O&longs;tro à Tramontana, il che <lb/>&longs;upponendola, bi&longs;ogna poi giu&longs;tar la mede&longs;ima del no&longs;iro istrumento &longs;opra à quella, <lb/>& dapoitorcere talmente la tabula, che la lancetta della calamita &longs;e uada à giu&longs;tar (in <lb/>tal po&longs;itione) &longs;econdo el &longs;uo ordine, & dapoi procedere, come di &longs;opra fu detto.<emph.end type="italics"/> R. <lb/>E<emph type="italics"/>ue ho inte&longs;o benißimo, & ba&longs;ta per hoggi.<emph.end type="italics"/></s>

<s>QVESITO TERZO FATTO DAL MEDESIMO <lb/>M. R<emph type="italics"/>ichardo Ventuorth.<emph.end type="italics"/></s>

<s>RICHARDO. H<emph type="italics"/>or uoria, che uoi mi dichiara&longs;ti un poco quando che li lati <lb/>del detto pae&longs;e non fu&longs;&longs;eno perfettamente retti, come &longs;e doueria procedere.<emph.end type="italics"/><lb/>N. Q<emph type="italics"/>uando che quello pae&longs;e, che &longs;e de&longs;idera&longs;&longs;e da mettere in di&longs;&longs;egno fu&longs;&longs;e contenu <lb/>to parte da linee curue, & parte da rette, ouer amente tutto da linee curue, eglie ne<lb/>ce&longs;&longs;ario à formar in tal figura curuilinea una figura rettilinea de molti lati per acco<lb/>&longs;tar&longs;e piu che &longs;ia poßibile à quelle linee curue, & mettere in di&longs;&longs;egno quella figura<emph.end type="italics"/><pb pagenum="59"/><emph type="italics"/>rettilinea in &longs;critta in quella curuilinea, & darui poi alli &longs;uoi debiti luochi alquanto di <lb/>curuita per pratica, cioe à de&longs;crittione, & per e&longs;&longs;or meglio inte&longs;o, &longs;upponeremo che il <lb/>&longs;ia uno pae&longs;e contenuto la maggior parte da linee curue, come di &longs;otto appare in figu<lb/>ra. </s>

<s>Dico à uoler metter in di&longs;&longs;egno questa tal figura, etaltre &longs;imile piantato, che &longs;e hab <lb/>bia il detto nostro i&longs;tromento in meggio del detto &longs;ito, uel circa, come di &longs;otto appare, <lb/>& quello agiu&longs;tato, ouer a&longs;&longs;ettato &longs;econdo il &longs;uo ordine el &longs;i de far piantar molte bac<lb/>chette per la circonferentia di quelle curaita, & doue è maggior curuita piantarui mol <lb/>to piu &longs;pe&longs;&longs;e le dette bacchette per poter &longs;i con linee rette piu approßimar&longs;e à quella <lb/>curuita, come di &longs;otto appare, & &longs;upponer che quelle differentie che è da bacchetta à <lb/>bacchetta &longs;iano lati de una figura rettelinea in &longs;critta in quella figura curuilinea, e per <lb/>tanto el &longs;i debbe andar tra&longs;guardando con la no&longs;tra dioptra cadauna di dette bacchet<lb/>te, & notare nella pollicetta per qual grado pa&longs;&longs;ara cadauna linea ui&longs;uale con la &longs;ua <lb/>quantìta di pa&longs;&longs;a, che &longs;ara dal piede dell'i&longs;tromento à cadauna bacchetta, & fatto que<lb/>sto, il&longs;e debbe far un qualche &longs;egno, ouer nota per memoria de quelle &longs;ue curuita, cioe <lb/>&longs;e tai curuita danno in fuora, ouer &longs;e &longs;e incarnano in dentro della figura, & dapoi ca<lb/>uar l i&longs;tromento, & andar&longs;ene à ca&longs;a, & uolendo poi mettere tal di&longs;&longs;egno in carta, <lb/>ouer in tela, di&longs;te&longs;a quella &longs;opra una tauola &longs;econdo il &longs;olito, il &longs;i de prima mettere in <lb/>di&longs;&longs;egno quella figura rettelinea in &longs;critta (ma non tirar li &longs;uoi lati per linea retta, ma <lb/>andar congiongendo le istremita di quelle linee (terminate con il &longs;olito ponto fermo) <lb/>con una linea alquanto curuata in fuora, ouer in dentro &longs;econdo che dinotara quel &longs;e<lb/>gno che gia fu annotato per memoria, ilche facendo &longs;e fara una figura &longs;imile à quella di <lb/>quel tal pae&longs;e. </s>

<s>ouer &longs;ito, granda, ouer piccola &longs;econdo che &longs;iuorra, cioe uolendola far <lb/>granda &longs;e fara anchora la no&longs;tra &longs;cala (detta nel precedente que&longs;ito) de.100.pa&longs;&longs;a al<lb/>quanto longa, & uolendola piccola, &longs;e fara la detta &longs;cala alquanto curta, & bi&longs;ognano <lb/>tare, che quantunque io habbia tirate quelle.25.linee nel no&longs;tro di&longs;&longs;egno tutte appa<lb/>rente, et l'haggio fatto, accio che piu euidentemente &longs;i ueda il modo de procedere per<lb/>che le dette.25.linee &longs;ono relatiue à quelli.25.interualli, che &longs;ono dal piede del no&longs;tro<emph.end type="italics"/><lb/><figure id="fig27"></figure><pb/><emph type="italics"/>&longs;tromento à cadauna bacchetta piantata nel <expan abbr="cõtorno">contorno</expan> del nostro &longs;ito, ouer pae e, le qual <lb/>bacchette, &longs;e non me inganno, &longs;ono <gap/>r.25.tamen in fatto proprio non uoleno e&longs;&longs;er ti <lb/>rate apparente (come di&longs;opra nell'altro di&longs;&longs;egno fu anchor detto) perche gua&longs;tano la <lb/>figura de&longs;ignata, ma &longs;olamente quelle del contorno uoleno e&longs;&longs;er tirate apparente, per<lb/>che quelle &longs;ono che ne rappre&longs;entano la figura, & que&longs;te tale, che uoleno e&longs;&longs;er tirate, <lb/>non le ho uole&longs;te tirare, ma &longs;olamente ui ho annotato li ponti fermi, accio meglio &longs;i ap <lb/>prenda il modo operatiuo, li quali ponti fermi, che li congiongera con una linea retta.<emph.end type="italics"/><lb/><figure id="fig28"></figure><lb/><emph type="italics"/>ouer curua, conue&longs;&longs;a, ouer concaua, &longs;econdo il bi&longs;ogno, &longs;e uedera rappre&longs;entar&longs;e una <lb/>figuretta &longs;imile à quella del no&longs;tro &longs;ito, ouer pae&longs;e.<emph.end type="italics"/> R. A<emph type="italics"/>nchora questa parte l'ho <lb/>inte&longs;a benißimo, & uoglio che ba&longs;ti per hoggi.<emph.end type="italics"/></s>

<s>QVESITO QVARTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> M. R<emph type="italics"/>ichardo Ventuorth.<emph.end type="italics"/></s>

<s>RICHARDO. H<emph type="italics"/>or uorria Compare che me dichiara&longs;ti quel &longs;econdo modo <lb/>de tuor in di&longs;&longs;egno, che in principio dice&longs;ti, cio procedendo, ouer andando per <lb/>la circonferentia, ouer contorno di tal &longs;ito, ouer pae&longs;e.<emph.end type="italics"/> N. H<emph type="italics"/>auendo uoi ben inte&longs;o il <lb/>primo modo, uoi ueniti hauer anchor a inte&longs;o piu della mita di que&longs;to &longs;econdo, perche <lb/>&longs;imilmente uolendo proceder per la circonferentia di tal &longs;ito, ouer pae&longs;e, e&longs;&longs;endo quel <lb/>lo contenuto de lati, ouer linee rette nelli angoli de quello, ui bi&longs;ogna pur mettere una <lb/>bacchetta, ouer qualche altro &longs;ignale da potere tra&longs;guardare, & dapoi piantare il det <lb/>to no&longs;tro i&longs;tromento in uno di &longs;uoi angoli, & quello a&longs;&longs;ettarlo &longs;econdo l'ordine piu uol <lb/>te detto, & dapoitra&longs;guardare quella bacchetta, o altro &longs;ignale, che &longs;ia nell'altro ango <lb/>lo auanti di &longs;e, & girare talmente la dioptra che la linea ui&longs;uale paßi per quelli dui bu<lb/>&longs;ettini (hauendo dettibu&longs;ettini) ouer amente che la &longs;e incontri con quelle due ponte (ha <lb/>uendo dette ponte, quale à me mi pareno piu &longs;pediente) & dapoi notar &longs;opra una pol<lb/>licetta il uento, & numero di gradi per donde pa&longs;&longs;ara la detta linea ui&longs;uale (ilche la <lb/>dioptra fara manife&longs;to) & dapoi far mi&longs;urare quanto è dal piede dell'i&longs;tromento à <lb/>quella bacchetta, o altro &longs;ignale, che &longs;ara &longs;u l'altro angolo: & tal quantita de pa&longs;&longs;a, à <lb/>notarli &longs;u la pollicetta con&longs;equentemente drio à quello uento, & numero de gradi per<emph.end type="italics"/><pb pagenum="60"/><emph type="italics"/>auanti annotati (&longs;i come nella precedente operatione fu anchor fatto) & dapoi cauar <lb/>il detto i&longs;tromento di quell angolo, & andarlo à piantare in &longs;u quell'altro (doue è quel <lb/>la bacchetta, ouer &longs;ignale, gia tra&longs;guardato) et con il mede&longs;imo modo tra&longs;guardar quel <lb/>la bacchetta, o altro &longs;ignale che &longs;ara &longs;u l'altro terzo angolo, & annotar &longs;imilmente <lb/>nella pollicetta per qual uento, & numero de gradi pa&longs;&longs;ara la linea ui&longs;uale, & con&longs;e<lb/>quentemente à notarui drio il numero di pa&longs;&longs;a, che &longs;ara dal piede del no&longs;tro i&longs;tromen<lb/>to per fina al detto &longs;egno, & co&longs;i con tal ordine &longs;i debbe andar procedendo per fin che <lb/>&longs;i hauera totalmente circondato quel tal pae&longs;e grande, ouer piccolo che &longs;ia, ilche &longs;e ha<lb/>uera totalmente circondato, quando &longs;e &longs;ara peruenuto à tra&longs;guardare quel &longs;egno po&longs;to <lb/>in &longs;u quel angolo, ouer cantone, doue che nel principio fu piantato la prima uolta lo <lb/>i&longs;tromento, & fatto que&longs;to il &longs;i puo cauar lo &longs;uo i&longs;tromento, & andar&longs;ene à ca&longs;a, & <lb/>quando &longs;e uorra mettere tal pae&longs;e in di&longs;&longs;egno, in carta, ouer in tela, il &longs;i debbe proce<lb/>der qua&longs;i, come nell'altra de&longs;crittione, cioe distendere tal carta, ouer tela, &longs;oprauna <lb/>tauola piana, & da quella banda, che parera piu conuenire al primo lato del no&longs;tro pae <lb/>&longs;e, & non nel meggio de tal carta, come nell'altra fu fatto, &longs;e douera a&longs;&longs;ettare il detto <lb/>nostro i&longs;tromento talmente che la lancetta del bo&longs;&longs;olo &longs;tia &longs;econdo l'ordine &longs;uo, & da<lb/>poi a&longs;&longs;ettare anchora la dioptra à quel uento, & numero de gradi annotati nella prima <lb/>partita della nostra pollicetta, & a&longs;&longs;ettata che ui &longs;ia, il &longs;i debbe &longs;ignar dui pontini &longs;u la <lb/>càrta piccolißimi (con un'ago, ouer altra co&longs;a pontita) cioe l'uno da l'un capo della dio<lb/>ptra, & l'altro dall'altro per pendicolarmente &longs;otto al luoco doue &longs;uol procedere ret<lb/>tamente la nostra linea ui&longs;uale, & que&longs;to facilmente &longs;e puo cono&longs;cere per meggio de <lb/>quella poca parte della dioptra che u&longs;ci&longs;&longs;e fuora dell'i&longs;tromento (come nell'altro que<lb/>&longs;ito anchor fu detto) & dapoi che &longs;e hauera &longs;ignati li detti dui ponti, il &longs;i debbe leuar <lb/>uia l'i&longs;tromento, & con una rega il &longs;i debbe tirare, ouer &longs;ignare una linea retta de indif <lb/>finita quantita, la qual paßi preci&longs;amente per li detti dui pontini, & di que&longs;ta tal linea <lb/>il &longs;i ne debbe mi&longs;urar fuora con il compa&longs;&longs;o (con l'ordine della no&longs;tra &longs;cala) tanti pa&longs;<lb/>&longs;a quanti dira la no&longs;tra pollicetta, & principiare à mi&longs;urare doue ne parera piu con<lb/>ueniente nella detta linea, & nel principio, & fine di tal parte mi&longs;urata ui &longs;e debbe far <lb/>un ponto fermo, fatto que&longs;to il &longs;i debbe giu&longs;tar la dioptra, à quel uento, & numero de <lb/>gradi, che &longs;i contiene nella &longs;econda partita della no&longs;tra pollicetta (cioe nella &longs;econda sta <lb/>tione) & dapoi giu&longs;t arlo al capo de drio di detta dioptra à quel ponto fermo, che fu &longs;i<lb/>gnato in fine della no&longs;tra prima linea, & agiustato, che ui&longs;ia, il &longs;i debbe torcere tanto <lb/>in qua, & in la il detto i&longs;tromento in&longs;ieme con la dioptra, che la lancetta del bo&longs;&longs;olo ua <lb/>da al &longs;uo &longs;egno &longs;enza che la dioptra &longs;i muoua dell' or dine, che fu prima a&longs;&longs;ettata, ma &longs;o<lb/>lamente girare à torno à quel ponto fermo, come &longs;uo centro, talmente che que&longs;te tre <lb/>co&longs;e &longs;i accordano, cioe che la lancetta &longs;tia giu&longs;ta al &longs;uo &longs;egno, & che la dioptra &longs;tia al <lb/>&longs;uo uento, & numero de gradi, & che anchora la detta dioptra con il capo da drio <lb/>uenghi à terminare preci&longs;amente à quel ponto fermo della prima linea &longs;ignata, & <lb/>quando che que&longs;te tre co&longs;e &longs;iano ben accordate, il &longs;i debbe &longs;ignare uno pontino dal<lb/>l'altro capo della dioptra con uno ago, ouer altra co&longs;a appontita, cioe &longs;otto al luoco do <lb/>ue pa&longs;&longs;a, ouer &longs;uol pa&longs;&longs;are la no&longs;tra linea ui&longs;uale, et &longs;ignato tal pontino, il &longs;i debbe leuar <lb/>uia lo i&longs;tromento, & con una rega il &longs;i debbe tirare una linea retta, che paßi per <pb/>quel ponto fermo, & anchora per quello pontino, & di que&longs;ta &longs;econda linea il &longs;e ne <lb/>debbe con un compa&longs;&longs;o (&longs;econdo l'ordine della no&longs;tra &longs;cala) mi&longs;urar fuora tanti pa&longs;&longs;a, <lb/>quanti dira la &longs;econda partita della no&longs;tra pollicetta, & principiare à mi&longs;urare à quel <lb/>ponto fermo, terminante la prima linea, & in capo de tal commen&longs;uratione, farui pur <lb/>un ponto fermo &longs;econdo il &longs;olito, & de nuouo il &longs;i debbe agiu&longs;tar la dioptra à quel uen<lb/>to, & numero de gradi, come &longs;e contien nella terza partita della no&longs;tra pollicetta, & <lb/>agiu&longs;tarla à tal ponto fermo, & accordar quelle tre co&longs;e (dette di &longs;opra) & &longs;ignare <lb/>quel pontino, dall'altro capo della dioptra, & leuar l'i&longs;tromento, & mi&longs;urar fuora <lb/>(con il compa&longs;&longs;o) da tal linea, tanti pa&longs;&longs;a (con l'ordine della no&longs;tra &longs;cala) quanti dira la <lb/>detta terzapartita della no&longs;tra pollicetta, & co&longs;i andar procedendo per fin che &longs;e hab <lb/>bia circondato, ouer &longs;errato tutto tal di&longs;&longs;egno, & &longs;e per ca&longs;o &longs;e hauera comme&longs;&longs;o qual <lb/>che errore, &longs;e ne accorgera nell'ultimo lato, ouer linea, che compira di &longs;errare tal di&longs;<lb/>&longs;egno, perche quella&longs;ara nece&longs;&longs;ario à tirarla &longs;enza mi&longs;urarla altramente con il com<lb/>pa&longs;&longs;o, perche quella &longs;e tirara dal ponto fermo, terminante il penultimo lato, ouer linea <lb/>di tal di&longs;&longs;egno, al ponto fermo, doue principiara lo primo lato, ouer linea, che prima fu <lb/>tirata, cioe doue fupo&longs;to lo i&longs;tromento nel principio, cioe la prima uolta, & &longs;e per ca<lb/>&longs;o, dapoi che la &longs;e hauera tirata la &longs;e ritrouara, con il compa&longs;&longs;o à e&longs;&longs;er de tanti paßa, <lb/>(&longs;econdo l'ordine della no&longs;tra &longs;cala) quanto che &longs;ara not ato nella ultima partita della <lb/>no&longs;tra pollicetta (ilcherare uolte accade) dinotara non eßer&longs;i commeßo alcuno mini<lb/>mo errore in tutto quanto il no&longs;tro operare, ma &longs;e per ca&longs;o il detto ultimo lato, ouer <lb/>linea, del no&longs;tro dißegno &longs;e trouara de piu, ouer men apriture di compaßo di quello &longs;a<lb/>ra il numero di paßa, annotati nella pollicetta, di tal &longs;uo relatiuo lato del no&longs;tro &longs;ito, <lb/>ouer pae&longs;e, dinotara eßer&longs;i fatto errore nell'operare, & tanto maggior quanto mag<lb/>gior differentia &longs;i trouara fra quelli, & &longs;e il ui pare ue ne daro uno eßempio in figura.<emph.end type="italics"/><lb/>R. N<emph type="italics"/>on accade che uoi me dati altro eßempio, perche ue ho inte&longs;o benißimo, & ba<lb/>sta per hoggi.<emph.end type="italics"/></s>

<s>QVESITO QVINTO FATTO DAL <lb/><emph type="italics"/>mede&longs;imo.<emph.end type="italics"/> M. R<emph type="italics"/>ichardo <lb/>Ventuorth.<emph.end type="italics"/></s>

<s>RICHARDO. A<emph type="italics"/>nchor che qua&longs;i comprenda, come &longs;e doueria procedere qun <lb/>do che tal &longs;ito fu&longs;&longs;e contenuto da linee, ouer lati curui, ouer montuo&longs;i, nondime <lb/>no hauero accaro à intendere la uo&longs;tra opinione per uedere &longs;e la mia &longs;e conforma con <lb/>la uo&longs;tra.<emph.end type="italics"/> N. B<emph type="italics"/>i&longs;ogna procedere pur, come fu detto nel terzo que&longs;ito, cioe nella cur<lb/>uita de tai lati piantarui de molte bacchette, et tanto piu &longs;pe&longs;&longs;e quanto che piu &longs;ono cur <lb/>ui, & dapoi procedere, come &longs;e fece nel precedente que&longs;ito, cioe procedere propria<lb/>mente, come &longs;e tal figura fu&longs;&longs;e contenuta de tante linee, ouer lati retti, quante &longs;aranno <lb/>quelle differentie, che &longs;ara da bacchetta, à bacchetta, ma nel di&longs;&longs;egnarli poi, bi&longs;ogna <lb/>darui un poco del curuo in fuora, ouer in dentro, &longs;econdo che con qualche &longs;egno ue ne <lb/>haucti fatto memoria nella pollicetta.<emph.end type="italics"/> R. C<emph type="italics"/>o&longs;i preci&longs;amente haueua in opinione, che <lb/>&longs;i doue&longs;&longs;e fare, e pero non uoglio, che per hoggi entramo in altro.<emph.end type="italics"/></s><pb pagenum="61"/>

<s>QVESITO SESTO FATTO DAL MEDESIMO <lb/>M. R<emph type="italics"/>ichardo Ventuorth.<emph.end type="italics"/></s>

<s>RICHARDO. P<emph type="italics"/>er le ragioni dette nelli precedenti dui Que&longs;iti à me mi pa<lb/>re, che &longs;enza alcun uo&longs;tro aui&longs;o io &longs;aperia anchor tor in di&longs;egno la pianta de <lb/>una citta.<emph.end type="italics"/> N. S<emph type="italics"/>i bene, ma in questo bi&longs;ogna con&longs;iderar, che li lati di una citta &longs;ono <lb/>muraglie, & perche nel proprio loco, doue che è la detta muraglia non ui &longs;i puo anda <lb/>re, ne piantarui el no&longs;tro i&longs;tromento, ne etiam le bacchette, ouer &longs;ignali, perche la det <lb/>ta muragliane impedi&longs;&longs;e, e per tanto bi&longs;ogna procedere per l'uno de dui modi, el pri<lb/>mo di quali è <expan abbr="&qacute;ue&longs;to">que&longs;to</expan>: che el &longs;i puo procedere per el mede&longs;imo modo, ma andando egual <lb/>mente di&longs;tante à cadauna muraglia, cioe piantare el no&longs;tro i&longs;tromento alquanto lonta <lb/>no dalla detta muraglia, come &longs;aria à dire tre piedi, & co&longs;i &longs;e de far piantare la bac<lb/>chetta, che &longs;i uuol tra&longs;guardare, mede&longs;imamente lontana dalla detta muraglia li detti <lb/>tre piedi, onde tra&longs;guardando la detta bacchetta &longs;econdo l'ordinario, & annotar nel <lb/>la policetta, per qual uento, & numero de gradi pa&longs;&longs;ara la no&longs;tra linea ui&longs;uale, & da <lb/>poi far mi&longs;ur are la longhezza di quella tal muraglia, ouer cortina, & tal numero de <lb/>pa&longs;&longs;a annotarlo nella policetta con&longs;equentemente drio à quel uento, et numero de gra <lb/>di, che prima fu annotati, & co&longs;i con tal ordine andar procedendo in cadauna corti<lb/>na, & &longs;e per &longs;orte in alcuna di dette muraglie, ouer cortine ui fu&longs;&longs;e qualche porta, ba <lb/>luardo, ouer torrione, bi&longs;ogna farne un poco di memoria nella policetta, cioe à quan<lb/>ti pa&longs;&longs;a &longs;ara della detta cortina, etiam di quanti pa&longs;&longs;a &longs;ara la &longs;ua larghezza, per po<lb/>terli, & &longs;aper li poi mettere, ouer de&longs;ignare nel no&longs;tro di&longs;egno alli &longs;uoi debiti luochi, <lb/>& con le &longs;ue debite mi&longs;ure, & que&longs;to mede&longs;imo modo &longs;e douera anchora o&longs;&longs;eruare, <lb/>quando l'occorre&longs;&longs;e à uoler mettere in di&longs;egno un pae&longs;e, doue fu&longs;&longs;e nece&longs;&longs;ario à pro<lb/>ceder per la circonferentia, ouer contorno di quello, & che nella detta &longs;ua circonfe<lb/>rentìa, ouer contorno ui fu&longs;&longs;e qualche fo&longs;&longs;o, cie&longs;e, ouer qualche altra co&longs;a, che ne im<lb/>pedideße il poter andare à piantar el no&longs;tro i&longs;tromento, & le bacchette da tra&longs;guar<lb/>dare, in la uera circonferentia di tal &longs;ito, ouer pae&longs;e, cioe, chel &longs;i doueria procedere <expan abbr="e-qu&imacr;di&longs;tantemente">e<lb/>quindi&longs;tantemente</expan> à quel tal lato, cioe &longs;el tal nostro i&longs;tromento, &longs;aremo sforzati à pian <lb/>tarlo lontano dal uero lato de tal &longs;ito, poniamo pa&longs;&longs;a.4.ouer piu, altertanti anchora <lb/>&longs;e douera piantar lontano la bacchetta dall'altro capo di tal lato.<emph.end type="italics"/> R. E<emph type="italics"/>ue ho inte&longs;o <lb/>benißimo circa à que&longs;to primo modo, hor diteme pur l'altro modo.<emph.end type="italics"/> N. L'<emph type="italics"/>altro mo <lb/>do certamente è molto piu e&longs;pediente, & presto, perche in quello non ui occorre à far <lb/>piantar bacchette, ne metter altri&longs;ignali, perche quel brazzetto, ouer trauer&longs;o.l.m. <lb/>che fu po&longs;to a &longs;quadra nella i&longs;tremita di quello brazzo.g.h. </s>

<s>ne caua de tal fa&longs;tidio, <lb/>perche uolendo &longs;apere per qual uento, & grado proceda, ouer &longs;tia una cortina, ouer <lb/>muraglia di tal citta, ba&longs;ta &longs;olamente a tuor el detto no&longs;tro i&longs;tromento in mani, & an<lb/>dare adappozzare quel tal brazzo, ouer trauer&longs;o.l.m.in un luoco piano di tal corti<lb/>na, ouer muraglia, & dapoi girarui fotto lo detto i&longs;tromento, ouer bo&longs;&longs;olo, per fina a <lb/>tanto, che la lenguella, ouer lancetta &longs;tia &longs;econdo el &longs;uo ordine, & fatto questo bi&longs;ogna <lb/>notare nella no&longs;tra policetta, per qual uento, e numero de gradi pa&longs;&longs;ara, ouer che di<lb/>&longs;couerzera la no&longs;tra principal dioptra, perche, per quel mede&longs;imo procedera ancho-<emph.end type="italics"/><pb/><emph type="italics"/>ra quella tal cortina, ouer muraglia (per e&longs;&longs;er la detta principal dioptra in tal po&longs;i<lb/>tione equidistante à tal cortina, ouer muraglia, & dapoi far mi&longs;urare tal cortina, o<lb/>uer muraglia, & tal &longs;ua quantita de pa&longs;&longs;a annotarli con&longs;equentemente drio à quel <expan abbr="u&etilde;">uem</expan> <lb/>to, & numero de gradi, gia annotati, & co&longs;i andar facendo à cadauna dell'altre corti <lb/>ne (facendo memoria delli luochi delle &longs;ue porte, & baluardi (come di &longs;opra fu det<lb/>to) & fatto que&longs;to andar&longs;ene à ca&longs;a, & quando &longs;e uora poi mettere in di&longs;egno la pian <lb/>ta di tal citta, &longs;e potra procedere preci&longs;amente, come fu fatto di quel pae&longs;e nel.4.Que <lb/>&longs;ito, uero è, che &longs;e potria tirar anchora le linee, &longs;econdo l'ordine di quel brazzo.l.m. <lb/>cioe a&longs;&longs;ettato, che &longs;e habbia tal no&longs;tro i&longs;tromento &longs;u la carta da quella banda, doue pa<lb/>re piu conuegnir&longs;e alla prima cortina di tal citta, & agiu&longs;tato la dioptra à quel uento,<emph.end type="italics"/><lb/><figure id="fig29"></figure><lb/><emph type="italics"/>& numero de gradi, come parlara la prima partita della no&longs;tra policetta, & fatto <lb/>que&longs;to, tir are una linea retta de indiffinita quantita, &longs;econdo l'ordine del detto braz<lb/>zetto.l.m.& datal linea cauarne, ouer mi&longs;urarne fora con el compa&longs;&longs;o, tanti paßa (&longs;e <lb/>condo l'ordine della no&longs;tra &longs;cala) come parlara la detta prima partita della no&longs;tra po <lb/>licetta, & nel principio, & fine di tal linea farui un ponto fermo, come piu uolte è &longs;ta <lb/>to detto, & dapoi reconzar la dioptra al uento, & grado, come parlara la &longs;econda <lb/>partita della nostra policetta, & con tal po&longs;itione a&longs;&longs;ettarla quel brazzetto.l.m. </s>

<s>à <lb/>quel ponto fermo gia fatto nel fin della detta prima linea, con tal modo, & forma che <lb/>&longs;e accorda quelle tre co&longs;e dette nel precedente Que&longs;ito, cioe, che la lancetta della cala<lb/>mita, &longs;tia &longs;econdo el &longs;uo ordine, & che la dioptra &longs;tia à quel uento, & nomero de gr<lb/>di, come parla la detta&longs;econda partita della policetta terzo, & ultimo, che el detto <lb/>brazzetto.l.m.termini preci&longs;amente à quel ponto fermo, terminante la prima linea, <lb/>& accordate que&longs;te tre co&longs;e, tirate un'altra linea de indeffinita quantita, &longs;econdo l'or <lb/>dine del detto brazzetto.l.m.la qual paßi per el detto ponto fermo, terminante la pri <lb/>ma linea, & di que&longs;ta &longs;econda linea, con el compa&longs;&longs;o &longs;e ne debbe pur mi&longs;urar fuora tan <lb/>ti pa&longs;&longs;a (&longs;econdo l'ordine della no&longs;tra&longs;eala) quanti &longs;ara notati nella detta &longs;econda par <lb/>tita della no&longs;tra policetta, comenzando pero à mi&longs;urare al detto ponto fermo, termi<lb/>ne della prima linea, & principio della &longs;econda, & in fine farui pur un ponto fermo, <lb/>& co&longs;i con tal modo, & ordine &longs;e douera andar procedendo, per fin che &longs;e hauera <expan abbr="cõ-pito">con<lb/>pito</expan> da de&longs;ignare la <expan abbr="piãta">pianta</expan> di cadauna cortina di tal citta, et chi uoleße &longs;apere che <expan abbr="u&etilde;to">uento</expan><emph.end type="italics"/><pb pagenum="62"/><emph type="italics"/>percoteße <expan abbr="perp&ebreve;dicolarm&etilde;te">perp&ebreve;dicolarmente</expan> &longs;opra à cadauna cortina, &longs;empre el brazzo.g.h. </s>

<s>lo fara <lb/>manife&longs;to.<emph.end type="italics"/> R. V<emph type="italics"/>oi me haueti certamenti molto &longs;atisfatto, uero è, che el me è occor<lb/>&longs;o un'altra particolarita de <expan abbr="adimãdarui">adimandarui</expan>, ma per e&longs;&longs;er tardi, la uoglio la&longs;&longs;ar à dimane.<emph.end type="italics"/></s>

<s>QVESITO SETTIMO FATTO DAL MEDESIMO <lb/>M. R<emph type="italics"/>ichardo Ventuorth.<emph.end type="italics"/></s>

<s>RICHARDO. A<emph type="italics"/>nchor che me habbiati<emph.end type="italics"/> (C<emph type="italics"/>ompar carißimo) molto &longs;atisfat <lb/>to in tutto quello, che nel principio ue richie&longs;e, nondimeno pen&longs;ando poi, che in <lb/>ogni luoco, ouer citta, <expan abbr="nõ">non</expan> potero for&longs;i trouare mae&longs;tro, che mi pote&longs;&longs;e, ouer &longs;ape&longs;&longs;e &longs;er <lb/>uire in farmi tal <expan abbr="i&longs;trom&etilde;to">i&longs;tromento</expan>, ouer bo&longs;&longs;olo, per e&longs;&longs;er quello, &longs;econdo el mio parere, di <expan abbr="nõ">non</expan> <lb/>poco artificio, & per tanto uiprego, che &longs;el fu&longs;&longs;e poßibile de immaginare una qualche <lb/>altra forma, che fu&longs;&longs;e de tal facilita, che fu&longs;&longs;e &longs;icuro di poter in ognicitta ritrouare <lb/>mae&longs;tri, che me pote&longs;&longs;ono, ouer &longs;ape&longs;&longs;ono fare.<emph.end type="italics"/> N. I<emph type="italics"/>o ue ne uoglio in&longs;ignare à for<lb/>marne uno di legno, el quale non &longs;olamente in ogni cittauoi trouareti molte per&longs;one, <lb/>che uel &longs;apranno, & potrauno fare, ma anchora per uoi mede&longs;imo aun bi&longs;ogno lo &longs;a<lb/>pereti, & potreti fare.<emph.end type="italics"/> R. V<emph type="italics"/>oi non mi potre&longs;ti fare co&longs;a piu grata, ma dubito a&longs;&longs;ai <lb/>che tal co&longs;a non &longs;ia el uero, & la cau&longs;a, che mi fa dubbitare è questa, che &longs;olamente in <lb/>le citta maritime, &longs;e ritroua per&longs;one, che &longs;appiano far li bo&longs;&longs;oli, & temperare quella <lb/>&longs;ua lancetta, la qual è il timone, che gouerna la naue di questa no&longs;tra pratica.<emph.end type="italics"/> N. E<lb/><emph type="italics"/>glie ben il uero, che in ogni citta non &longs;i troua co&longs;i per&longs;one, che &longs;iano atte a far tal co&longs;a, <lb/>ma non me potretinegare, che in ogni citta non ui &longs;i troua di quelli horologietti, che <lb/>uengono dalla Lemagna, con li quali al&longs;ole &longs;e pol &longs;apere quante hore &longs;ono, & &longs;i uendo <lb/>no tre, ouer quattro &longs;oldi luno.<emph.end type="italics"/> R. C<emph type="italics"/>he de quelli, che hanno una Tramontanella pic <lb/>cola, cioe poco piu della ungia del dedo gro&longs;&longs;o.<emph.end type="italics"/> N. P<emph type="italics"/>roprio de quelli.<emph.end type="italics"/> R. S<emph type="italics"/><expan abbr="&etilde;za">enza</expan> dub <lb/>bio, che de tali horologietti&longs;e ne ritroua per egni citta.<emph.end type="italics"/> N. E<emph type="italics"/>t con uno de quelli ue <lb/>uoglio in&longs;ignare a far ui uno i&longs;trumento, & con gran facilita, con el quale ue ne potre<lb/>ti &longs;eruir in tutte que&longs;te prasiche, di che hauemo fin hora parlato.<emph.end type="italics"/> R. E<emph type="italics"/>come.<emph.end type="italics"/> N. <lb/>I<emph type="italics"/>o uoglio, che uoi di&longs;egnati con un compa&longs;&longs;o &longs;opra a un foglio di carta <expan abbr="alquãto">alquanto</expan> großa <lb/>e ferma, e <expan abbr="b&etilde;">bem</expan> lißa, una figura &longs;imile a quella, che <expan abbr="&itilde;">im</expan> principio ui mo&longs;trai di far &longs;opra quel <lb/>la <expan abbr="lãma">lamma</expan> di ottone, cioe quelli mede&longs;imi circuli, <expan abbr="cõ">com</expan> le me de&longs;ime diui&longs;ioni de uenti, & de <lb/>gradi, come che anchora di &longs;otto appar in figura, ma farlo, che <21> diametro &longs;ia al men <lb/>una <expan abbr="&longs;pãna">&longs;panna</expan>, accio che la &longs;ua circonferentia po&longs;&longs;a e&longs;&longs;er diui&longs;a in.360.gradi, et dapoi che <lb/>baueriti fatto que&longs;to tal di&longs;egno in carta, uoglio che tal di&longs;egno l'incollati &longs;opra ad un <lb/>quadretto di tabula di legno <expan abbr="b&etilde;">bem</expan> piana, et di legno <expan abbr="b&etilde;">bem</expan> &longs;ecco, gro&longs;&longs;a circa a un dedo, & &longs;e <lb/>poßibil fu&longs;&longs;e farla far de legno d'ancipre&longs;&longs;o (perche tal legno <expan abbr="nõ">non</expan> fa mutatione &longs;en&longs;ibile <lb/>ne &longs;e &longs;torge <21> <expan abbr="t&etilde;po">tempo</expan>) & far che el detto quadretto di tabula habbia nel mezzo de un di <lb/>&longs;uoi lati un'altro quadrettino congionto di <expan abbr="tãta">tanta</expan> <expan abbr="grãdezza">grandezza</expan>, che &longs;ia capace di poterui &longs;o <lb/>pra di quello inca&longs;&longs;arui, & incollarui uno delli &longs;opradetti horologietti, che uengono <lb/>da Allemagna, ma bi&longs;ogna aduertire ne l'incollar el detto di&longs;egno, & el detto horolo<lb/>gietto di far, che la <expan abbr="Tramõtana">Tramontana</expan> del detto di&longs;egno, et <expan abbr="&longs;imilm&etilde;te">&longs;imilmente</expan> quella del detto horolo <lb/>gietto guardino rettamente per uno mede&longs;imo uer&longs;o, come di &longs;otto appar in figura.<emph.end type="italics"/><pb/>E <emph type="italics"/>dapoì que&longs;to, bi&longs;ogna farui una dio<lb/>ptra pur li legno d'ancipre&longs;&longs;o (&longs;e poßi<lb/>bil è) ouer di qualche altro, che &longs;ia ben <lb/>&longs;ecco, talmente, che per tempo non fac<lb/>cia mutatione, che in cio l'ancipre&longs;&longs;o lau <lb/>piu de tutti. </s>

<s>Et per far que&longs;ta dioptra, <lb/>che &longs;ia giu&longs;tißima, bi&longs;ogna far fare una <lb/>reghetta, ouer li&longs;tetta del detto legno, <lb/><expan abbr="lõga">longa</expan> circa un brazzo, e mezzo, & lar <lb/>ga circa a un dedo, & gro&longs;&longs;a circa a <lb/>una co&longs;ta di cortello, & que&longs;ta tal ri-<emph.end type="italics"/><lb/><figure id="fig30"></figure><lb/><emph type="italics"/>ghetta uol e&longs;&longs;er rettißima, & giu&longs;tißima, & per cono&longs;cere &longs;e tal regha &longs;ara giu&longs;ta, <lb/>&longs;e potra cono&longs;cere per quel modo po&longs;to nel terzo libro della no&longs;tra noua&longs;cientia, & <lb/>dapoi fatta que&longs;ta tal regha, di quella bi&longs;ogna &longs;egarne fuora otto pezzetti, cioe quat<lb/>tro maggiori, & quattro menori, li quattro maggiori uoleno e&longs;&longs;er di tal longhezza, <lb/>che &longs;opragionti, & incolati, come di &longs;otto appar in ponto.e.&.f. </s>

<s>&longs;iano alquanto piu <lb/>del diametro del detto istromento. </s>

<s>Et bi&longs;ogna notar, che tal &longs;opragiontion uol e&longs;&longs;er <lb/>fatta per gro&longs;&longs;ezza, & uol e&longs;&longs;er tanta, quanto che è la &longs;ua larghezza, & con tal mo-<emph.end type="italics"/><lb/><figure id="fig31"></figure><lb/><emph type="italics"/>do, & ordine, che que&longs;ti dui par de pezzi (co&longs;i congionti, & incolati) ponendoli luno <lb/>&longs;opra l'altro in perfetta croce, cioe perfetta linea a &longs;quadra (come di &longs;opra appar in <lb/>figura) <expan abbr="u&etilde;gono">uengono</expan> a fare, ouer a formare nella &longs;ua <expan abbr="cõgiontione">congiontione</expan> uno quadretto (come nella <lb/>detta &longs;otto&longs;critta figura appare) el qual quadretto uenghia cau&longs;ar un angolo in pon<lb/>to.g.& un altro a quel oppo&longs;ito in ponto.h. </s>

<s>Et co&longs;i que&longs;ti dui par de pezzi uogliono <lb/>e&longs;&longs;er perfettamente incolati in tal po&longs;itione, cioe, come nella detta&longs;otto&longs;critta figura <lb/>appare. </s>

<s>Gli altri.4.pezzetti menori, li quali po <lb/>niamo che &longs;iano li &longs;opra notati <21>.a.b.c.d.uoglio <lb/>no e&longs;&longs;er piu corti delli altri.4.maggiori, tanto <lb/>quanto è la larghezza de cadauno de loro, <21> che <lb/>de quelli uoglio che &longs;e ne &longs;erui <21> redure la &longs;opra <lb/>&longs;critta croce tutta piana, e &longs;olida, <21> che eglie ma<lb/>nifesto, che li dui brazzi.i.h.g.<emph.end type="italics"/> k <emph type="italics"/><21> e&longs;&longs;er &longs;opra <lb/>posti alli altri dui, <expan abbr="nõ">non</expan> toccano el piano doue &longs;eri<emph.end type="italics"/><lb/><figure id="fig32"></figure><lb/><emph type="italics"/>po&longs;&longs;a li detti altri dui brazzi a <34>lli &longs;ottopo&longs;ti, anci <expan abbr="&longs;tãno">&longs;tanno</expan> in aere, cioe <expan abbr="lõtani">lontani</expan> dal detto <lb/>piano <expan abbr="tãto">tanto</expan> <expan abbr="quãto">quanto</expan> è la gro&longs;&longs;ezza de cadauno de loro, e pero <21> impir quel uacuo uoglio,<emph.end type="italics"/><pb pagenum="63"/><emph type="italics"/>che otto à cadauno de detti dui bracci.i.h.g.<emph.end type="italics"/>k.<emph type="italics"/>ui &longs;ia incollato uno de quelli.4.pezzi <lb/>menori.a.b.c.d.detti di &longs;opra, li quali ueniranno à empire perfettamente quelli duiua<lb/>cui, perche &longs;e conueneranno preci&longs;amente in quelli, & co&longs;i &longs;era redutta tal croce piana <lb/>dalla parte di &longs;otto uer&longs;o il piano, ma non di &longs;opra, perche quelli dui primi bracci po&longs;ti <lb/>in piano non a&longs;cendono alla altezza delli dui &longs;opra po&longs;ti, cioe de.i.h.<emph.end type="italics"/> g.k.<emph type="italics"/>anci ui manca <lb/>tanto quanto è la gro&longs;&longs;ezza de cadauno de loro, e pero per empir quel uacuo, uoglio <lb/>che ui &longs;ia incollato &longs;opra à cadauno de loro uno de quelli altri dui pezzi menori giare<lb/>&longs;tati, li quali uenir anno à empire perfettamente quel uacuo, perche &longs;e conueniranno <lb/>preci&longs;amente in quelli, & fatto que&longs;to, tal croce &longs;ara redutta tutta &longs;olida, & piana da <lb/>ambe le bande, e &longs;ara fortificata, perche &longs;ara fatta tutta doppia, et tutto que&longs;to meglio <lb/>&longs;e uedera nel fabricarla, che per figura. </s>

<s>Et dapoi que&longs;to nel capo de dui di detti bracci <lb/>oppo&longs;iti, bi&longs;ogna incollarui un'altro pezzetto dellamede&longs;ima li&longs;tetta pur doppia, co<lb/>me di &longs;otto appare in ponto.a.& in ponto.b.& in l'uno, el'altro de que&longs;ti dui lochi ui <lb/>douera piantar una ponta acuta, come &longs;aria una ponta de ago, che &longs;eruino per tra&longs;<lb/>guardar, in luoco delli dui bu&longs;i. </s>

<s>Et &longs;e piu ag-gradara li bu&longs;i che tai due ponte, in tai me<lb/>de&longs;imi lochi ui &longs;e potra inca&longs;&longs;ar, & incollar <lb/>dui quadratini in alto elleuati con li detti dui <lb/>bu&longs;i, ma piu mi piace le due ponte, che li bu <lb/>&longs;i. </s>

<s>Et per poter&longs;i &longs;eruire di que&longs;to tal istro<lb/>mento per tuor in di&longs;&longs;egno le piante delle cit <lb/>ta, nella i&longs;tremita del braccio.c.d.ui &longs;e potra <lb/>inca&longs;&longs;ar, & incollar il brazzetto.e.f.à &longs;qua<emph.end type="italics"/><lb/><figure id="fig33"></figure><lb/><emph type="italics"/>dra, come nella &longs;opra&longs;critta figura appare. </s>

<s>Et dapoi que&longs;to nel centro di tal dioptra bi <lb/>&longs;ogna farui un bu&longs;ettino, & con un pironcino di ferro, ouer di ottone piantare tal dio<lb/>ptra nel centro di tal i&longs;tromento, la qual co&longs;a facendo tal i&longs;tromento &longs;tara preci&longs;e, come <lb/>me di &longs;otto appare in figura, & di que&longs;to ue ne potreti&longs;eruire, &longs;i come di quello di ot<lb/>tone.<emph.end type="italics"/> R. Q<emph type="italics"/>uesto mi pare una co&longs;a molto facile, & di poco artificio, & qua&longs;i di niu<lb/>na &longs;pe&longs;a, perche tutta la &longs;pe&longs;a che ui entrara non credo che a&longs;cendera à un marcello, ma <lb/>dubito che il <expan abbr="nõ">non</expan> &longs;ara di quella mede&longs;ima giu&longs;tezza che &longs;ara quello di ottone.<emph.end type="italics"/> N. A<emph type="italics"/>n <lb/>ci per molte ragioni, eglie nece&longs;&longs;ario, che que&longs;to &longs;ia molto piu giu&longs;to di quello di ot-<emph.end type="italics"/><lb/><figure id="fig34"></figure><pb/><emph type="italics"/>tone, perche in quello di ottone, oltra che ui occorre maggior difficolta in far quelli dui <lb/>bracci della &longs;ua dioptra, che &longs;iano rettißimi (per e&longs;&longs;er di metallo) di quello, che occorre <lb/>nelli dui bracci della &longs;opra&longs;critta dioptra.a.b. (per e&longs;&longs;er piu facile da lauorar con la <lb/>piona il legno del metallo) ma poniamo anchora che gli detti bracci di ottone (per la <lb/>buona diligentia del mae&longs;tro fu&longs;&longs;eno fatti di tanta giu&longs;tezza, quanto quelli di legno) <lb/>dico che eglie difficile a&longs;&longs;ai ad a&longs;&longs;ettarli poi in quella &longs;ua armilla, che &longs;i incontr ano ret<lb/>tamente, & non in contrando &longs;i tal i&longs;tromento &longs;aria fal&longs;o, & oltra di questo, eglie an<lb/>chora molto difficolto&longs;o, che tal armilla uada, ouer intraga talmente giu&longs;ta, ouer &longs;az<lb/>zadamente, in quella altra armilla &longs;aldata à torno del bo&longs;&longs;olo, che non &longs;cantini piu in <lb/>un luoco, che in un'altro, ilche facendo tal dioptra non ri&longs;pondera il uero grado, ilche <lb/>facendo tal <expan abbr="i&longs;trom&etilde;to">i&longs;tromento</expan> &longs;aria fal&longs;o. </s>

<s>Et oltra di que&longs;to, non è molto facile ad a&longs;&longs;aldare quel <lb/>la prima armilla à torno al centro di tal i&longs;tromento di ottone, che &longs;ia perfettamente <expan abbr="cõ">com</expan> <lb/>centrica con il detto i&longs;tromento, & non e&longs;&longs;endo concentrica tal i&longs;tromento &longs;aria fal&longs;o, <lb/>e per tanto dico, che à far tal dioptra di legno per il modo dato di &longs;opranon ui occorre <lb/>alcune delle &longs;opr adette difficolta, ma &longs;olamente bi&longs;ogna e&longs;&longs;er diligente in far, che quel<lb/>la prima righetta, ouer li&longs;tetta &longs;ia giu&longs;tißima (ilche facilmente per lo &longs;opradetto mo<lb/>do da noi po&longs;to nel Terzo libro detto Nuona Scientia) &longs;i puo cono&longs;cere, & uedere.<emph.end type="italics"/> R. <lb/>C<emph type="italics"/>on&longs;idero che eglie il uero quello, che uoi diceti, ma eglie &longs;e non una co&longs;a, che quel qua<lb/>dretto doue uoleti che ui &longs;e incaß<gap/> il detto horologietto, par che molto di&longs;dica co&longs;i con<lb/>gionto in quel lato, de fuor a uia.<emph.end type="italics"/> N. C<emph type="italics"/>ir ca à que&longs;to, ui &longs;e gli potria rimediare in piu mo <lb/>di, l'uno di quali è questo, il &longs;e potria da tal horologietto &longs;egarui, ouer tagliarui fuora <lb/>quel poco bo&longs;&longs;oletto, cioe quella tramontanella, & tal tramontanella inca&longs;&longs;ar la in uno <lb/>de quelli &longs;paci uacui de quelli angoli del quadrato, che conterminorno con il mede&longs;imo <lb/>lato doue che è congionto tal quadretto, cioe in quel &longs;pacio doue é &longs;ignato.o.ouer nel<lb/>l'altro, mabi&longs;ogna auertire nell'inca&longs;&longs;ar tal bo&longs;&longs;oletto, ouer tramontanella, in tal luo<lb/>co de far che la Tramontana de tal bo&longs;&longs;oletto, guardi per quel mede&longs;imo uer&longs;o, che <lb/>guardara quella del no&longs;tro di&longs;&longs;egno, cioe che la linea che ua da O&longs;tro à Tramontana <lb/>nel bo&longs;&longs;oletto &longs;tia equidi&longs;tante à quella, che mede&longs;imamente ua da O&longs;tro à Tramonta<lb/>na del no&longs;tro di&longs;&longs;egno, il qual bo&longs;&longs;oletto e&longs;&longs;endo co&longs;i a&longs;&longs;ettato, tanto ui &longs;eruira, come &longs;e <lb/>quel fu&longs;&longs;e, come era prima, cioe congionto con quel lato de fuor a uia.<emph.end type="italics"/> R. </s>

<s>A <emph type="italics"/>que&longs;to <lb/>modo sta molto meglio, & molto piu mi piace dell'altro. </s>

<s>Nondimeno ho à caro di ba<lb/>uer inte&longs;o l'uno, e l'altro, & per al pre&longs;ente non ui uoglio dare altro fa&longs;tidio. </s>

<s>Ma un'al <lb/>tra uolta con piu uo&longs;tro, & mia commodita, uorro poi che anchora mi dichiarati di <lb/>quell'altra forma de i&longs;tromento, ouer bo&longs;&longs;olo, che &longs;erue &longs;enza dioptra.<emph.end type="italics"/> N. O<emph type="italics"/>gni uol <lb/>ta che ui &longs;ia accommodo &longs;on &longs;empre apparato à farui appiacere. </s>

<s>Ma una co&longs;a ui ho da <lb/>ricordare, ogni uolta che uoleti operare tal i&longs;tromento auertir, che non ui &longs;ta propin<lb/>quo ferro di&longs;orte alcuna, perche il bo&longs;&longs;olo, ouer calamita, non ui ri&longs;ponderia il uero, e <lb/>pero in tal negocio non &longs;i debbe portar &longs;pada, ne pugnal cinto, perche il pomo &longs;pe&longs;&longs;e <lb/>uolte ui faria errare, & non di poco.<emph.end type="italics"/></s>

<s>I<emph type="italics"/>l fine del Quinto Libro.<emph.end type="italics"/></s><pb pagenum="64"/>

<s>LIBRO SESTO DELLI <lb/>QVESITI, ET IN VENTIONI DIVERSE, <lb/>DE NICOLO TARTAGLIA.</s>

<s>S<emph type="italics"/>opra il modo di fortificar le Citta <lb/>ri&longs;petto alla forma.<emph.end type="italics"/></s>

<s>QVESITO PRIMO FATTO DAL S. GABRIEL <lb/>T<emph type="italics"/>adino, Cauallier de Rodi, & Prior di Barletta.<emph.end type="italics"/></s>

<s>PRIORE. N<emph type="italics"/>on credeti uoi che lo ingegno dell'huomo al pre&longs;ente <lb/>&longs;ia peruenuto à quel &longs;ublime grado doue &longs;ia poßibile à peruenire, <lb/>per fortificare una citta.<emph.end type="italics"/> N. D<emph type="italics"/>i que&longs;to non ui &longs;aprei ri&longs;pondere, <lb/>perche non &longs;olamente ho praticato poco per Italia, & manco fuor <lb/>de Italia, ma da dodeci anni in qua mai &longs;on &longs;tato fuora di Venetia, <lb/>&longs;aluo una uolta che andai à Verona per un mio negocio qua&longs;i à &longs;taf<lb/>fetta.<emph.end type="italics"/> P. M<emph type="italics"/>o non uede&longs;ti Padoua, & Verona, non haueti ancho<lb/>ra ui&longs;to Bre&longs;&longs;a uo&longs;tra Patria.<emph.end type="italics"/> N. P<emph type="italics"/>adoua ho ui&longs;to per tran&longs;ito &longs;im <lb/>plicemente in trauer&longs;arla per andare alle barche dal Fraßine, ma non con&longs;iderata. </s>

<s>Si<lb/>milmente ho ui&longs;to Verona, & &longs;tantiato per diece anni in quella, ma mai la circondai, <lb/>ne manco con&longs;iderai, la figura del contorno di quella. </s>

<s>La can&longs;a fu che à quel tempo non <lb/>mi dilettaua de tai particolarita, ne mai hebbi in animo di dilettarmene in conto alcu<lb/>no, ma que&longs;ti &longs;o&longs;petti, & mouimenti Turche&longs;chi me hanno dato nuouamente occa&longs;ione <lb/>di ponerui alquanto cura, come co&longs;a utile, & nece&longs;&longs;aria, & quello che ho detto di Ve<lb/>rona, il mede&longs;imo dico di Bre&longs;&longs;a<emph.end type="italics"/> (P<emph type="italics"/>atria mia) & &longs;imilmente di Crema, Bergamo, & <lb/>Millano. </s>

<s>Le quai citta tutte le ho uedute quando era giouene, & gargione. </s>

<s>Ma non <lb/>con&longs;iderata la forma delle mura di alcuna di quelle, eglie ben uero, che quando stantia<lb/>ua à Verona, io fui alcune uolte à San Georgio, & uidi à quella porta e&longs;&longs;erui princi<lb/>piati alcuni fondamenti dimura di una i&longs;mi&longs;urata gro&longs;&longs;ezza, & &longs;imilmente me aricor <lb/>do hauer ui&longs;to à cadauna delle altre porte certi ba&longs;tioni, torrioni, ouer baluardi, alcuni <lb/>&longs;olamente principiati, alcuni meggi fatti, & alcuni compiti, di una gro&longs;&longs;ezza ine&longs;tima <lb/>bile, ma come ho detto, mai poßicura alla forma del contorno di quella, il mede&longs;imo di<lb/>co hauer ui&longs;to Bre&longs;&longs;a<emph.end type="italics"/> (P<emph type="italics"/>atria mia) & stantiato per tutta la mia pueritia, in quella, & <lb/>me aricordo delli &longs;uoi großißimi terrai, muri, et torrioni, ma non della forma.<emph.end type="italics"/> P. M<emph type="italics"/>o <lb/>hauendo ui&longs;to