| version 1.13, 2002/08/15 09:43:27 |
version 1.14, 2002/08/22 15:44:07 |
| |
| <?xml version="1.0"?> | <?xml version="1.0"?> |
| <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" ><archimedes> <info> | <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" > |
| | <archimedes xmlns:xlink="http://www.w3.org/1999/xlink"> <info> |
| <author>Varro, Michel</author> | <author>Varro, Michel</author> |
| <title>De motu tractatus</title> | <title>De motu tractatus</title> |
| <date>1584</date> | <date>1584</date> |
| <place>Geneva</place> | <place>Geneva</place> |
| <translator></translator> | <translator/> |
| <lang>la</lang> | <lang>la</lang> |
| <cvs_file>varro_demot_01_la_1584</cvs_file> | <cvs_file>varro_demot_01_la_1584</cvs_file> |
| <cvs_version></cvs_version> | <cvs_version/> |
| <locator>0000000044.xml</locator> | <locator>0000000044.xml</locator> |
| </info> <text> <front> </front> <body> <chap> <pb id="p.0001"/><p type="head"> | </info> <text> <front> </front> <body> <chap> <pb id="p.0001"/><p type="head"> |
| | |
| |
| | |
| <s>Hoc igitur <expan abbr="munu&longs;culũ">munu&longs;culum</expan> vt &longs;erena <expan abbr="frõ-te">fron­<lb/>te</expan> &longs;u&longs;cipias rogo. </s> | <s>Hoc igitur <expan abbr="munu&longs;culũ">munu&longs;culum</expan> vt &longs;erena <expan abbr="frõ-te">fron­<lb/>te</expan> &longs;u&longs;cipias rogo. </s> |
| | |
| <s>Vale. </s> | <s>Vale. <!-- KEEP S--></s> |
| | |
| <s>V I. </s> | <s>V I. <!-- KEEP S--></s> |
| | |
| <s>K al. </s> | <s>K al. </s> |
| | |
| <s>Jun. </s> | <s>Jun. </s> |
| | |
| <s>Anno <lb/>Christi Domini<emph.end type="italics"/> M. D. LXXXIV. </s></p><pb pagenum="1"/><figure></figure><p type="head"> | <s>Anno <lb/>Christi Domini<emph.end type="italics"/> M. D. LXXXIV. <!-- KEEP S--></s></p><pb pagenum="1"/><figure/><p type="head"> |
| | |
| <s>M. VARRONIS DE <lb/>MOTV TRACTATVS.</s></p><p type="head"> | <s>M. VARRONIS DE <lb/>MOTV TRACTATVS.</s></p><p type="head"> |
| | |
| |
| | |
| <s>Vt igitur ad rem aggredia­<lb/>mur, primùm voces, quibus vtendum e&longs;t, definie­<lb/>mus, vt intelligatur quo &longs;en&longs;u eas accipiamus. </s></p><p type="head"> | <s>Vt igitur ad rem aggredia­<lb/>mur, primùm voces, quibus vtendum e&longs;t, definie­<lb/>mus, vt intelligatur quo &longs;en&longs;u eas accipiamus. </s></p><p type="head"> |
| | |
| <s>DEFINITIO I.</s></p><p type="main"> | <s>DEFINITIO I.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Vis dicitur agendi aut agenti re&longs;i&longs;tendi <expan abbr="pot&etilde;tia">potentia</expan>, <lb/>præ&longs;ertim verò mouendi & mouenti re&longs;i&longs;tendi. </s></p><p type="head"> | <s>Vis dicitur agendi aut agenti re&longs;i&longs;tendi <expan abbr="pot&etilde;tia">potentia</expan>, <lb/>præ&longs;ertim verò mouendi & mouenti re&longs;i&longs;tendi. </s></p><p type="head"> |
| | |
| <s>II.</s></p><p type="main"> | <s>II.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Vis &longs;ubiectum dicitur id quod vis mouet, vel <pb pagenum="3"/>quod à vi mouetur. </s></p><p type="main"> | <s>Vis &longs;ubiectum dicitur id quod vis mouet, vel <pb pagenum="3"/>quod à vi mouetur. </s></p><p type="main"> |
| | |
| |
| | |
| <s>Et&longs;i autem plura &longs;int virium genera, tot &longs;cilicet, <lb/>quot &longs;unt in rerum natura contrariorum, actionem <lb/>& pa&longs;&longs;ionem recipientium, vt leue graue, rarum <expan abbr="d&etilde;-&longs;um">den­<lb/>&longs;um</expan>, plenum vacuum, durum molle, & cætera eiu&longs;­<lb/>modi, quoniam tamen ea omnia hîc per&longs;equi no&longs;tri <lb/>non e&longs;t in&longs;tituti, cùm de ea tantùm qua motus fit a­<lb/>gere &longs;tatuerimus. </s></p><p type="head"> | <s>Et&longs;i autem plura &longs;int virium genera, tot &longs;cilicet, <lb/>quot &longs;unt in rerum natura contrariorum, actionem <lb/>& pa&longs;&longs;ionem recipientium, vt leue graue, rarum <expan abbr="d&etilde;-&longs;um">den­<lb/>&longs;um</expan>, plenum vacuum, durum molle, & cætera eiu&longs;­<lb/>modi, quoniam tamen ea omnia hîc per&longs;equi no&longs;tri <lb/>non e&longs;t in&longs;tituti, cùm de ea tantùm qua motus fit a­<lb/>gere &longs;tatuerimus. </s></p><p type="head"> |
| | |
| <s>III.</s></p><p type="main"> | <s>III.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Cùm de motu hîc agemus motum ad locum, <lb/>quem Græci <foreign lang="greek">fora\n</foreign> vocant, intelligi volumus. </s></p><p type="head"> | <s>Cùm de motu hîc agemus motum ad locum, <lb/>quem Græci <foreign lang="greek">fora\n</foreign> vocant, intelligi volumus. </s></p><p type="head"> |
| | |
| <s>IIII.</s></p><p type="main"> | <s>IIII.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Linea autem recta quæ e&longs;t ab eo loco à quo mo­<lb/>tus fieri incipit ad illum ad quem tendit. </s> | <s>Linea autem recta quæ e&longs;t ab eo loco à quo mo­<lb/>tus fieri incipit ad illum ad quem tendit. </s> |
| | |
| |
| | |
| <s>Quemadmodum <lb/>& is quem habent vires illæ, quibus res à &longs;itu <expan abbr="partiũ">partium</expan> <lb/>naturali remotæ ad illum redeunt: prout enim ab <lb/>eo motæ &longs;unt, ita ad illum redeunt, prout etiam huc <lb/>aut illuc obuer&longs;æ &longs;unt, vt vis arcus aut bali&longs;tæ. </s></p><p type="head"> | <s>Quemadmodum <lb/>& is quem habent vires illæ, quibus res à &longs;itu <expan abbr="partiũ">partium</expan> <lb/>naturali remotæ ad illum redeunt: prout enim ab <lb/>eo motæ &longs;unt, ita ad illum redeunt, prout etiam huc <lb/>aut illuc obuer&longs;æ &longs;unt, vt vis arcus aut bali&longs;tæ. </s></p><p type="head"> |
| | |
| <s>DEFIN. V.</s></p><p type="main"> | <s>DEFIN. V.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Vires autem contrariæ dicuntur, quæ contrarios <lb/>motus ciere po&longs;&longs;unt, vt ea qu&ecedil; &longs;ur&longs;um mouet & qu&ecedil;<lb/>deor&longs;um, & &longs;ic de cæteris. </s></p><p type="main"> | <s>Vires autem contrariæ dicuntur, quæ contrarios <lb/>motus ciere po&longs;&longs;unt, vt ea qu&ecedil; &longs;ur&longs;um mouet & qu&ecedil;<lb/>deor&longs;um, & &longs;ic de cæteris. </s></p><p type="main"> |
| | |
| |
| | |
| <s>Illud enim cum &longs;patio <lb/>vel linea, motus dici facit æquales aut inæquales. </s></p><p type="head"> | <s>Illud enim cum &longs;patio <lb/>vel linea, motus dici facit æquales aut inæquales. </s></p><p type="head"> |
| | |
| <s>DEFIN. VI.</s></p><p type="main"> | <s>DEFIN. VI.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Æquales igitur motus dicuntur, qui æqualibus <lb/>temporibus æqualia &longs;patia percurrunt. </s></p><p type="main"> | <s>Æquales igitur motus dicuntur, qui æqualibus <lb/>temporibus æqualia &longs;patia percurrunt. </s></p><p type="main"> |
| | |
| |
| | |
| <s>Ille tribus ho­<lb/>ris ea ab&longs;oluet, hic verò duabus, & æquè celeriter <lb/>ferri dicentur, licet &longs;patia inæqualia <expan abbr="percurrãt">percurrant</expan>, quo­<lb/>niam illa &longs;unt temporibus proportionalia. </s></p><pb pagenum="9"/><p type="head"> | <s>Ille tribus ho­<lb/>ris ea ab&longs;oluet, hic verò duabus, & æquè celeriter <lb/>ferri dicentur, licet &longs;patia inæqualia <expan abbr="percurrãt">percurrant</expan>, quo­<lb/>niam illa &longs;unt temporibus proportionalia. </s></p><pb pagenum="9"/><p type="head"> |
| | |
| <s>VII.</s></p><p type="main"> | <s>VII.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Inæquales autem motus dicuntur, quorum tem­<lb/>pora non &longs;unt &longs;patiis proportionalia. </s> | <s>Inæquales autem motus dicuntur, quorum tem­<lb/>pora non &longs;unt &longs;patiis proportionalia. </s> |
| | |
| |
| | |
| <s>Maior igitur dicetur qui celeriùs feretur, minor, <lb/>qui tardiùs. </s></p><p type="head"> | <s>Maior igitur dicetur qui celeriùs feretur, minor, <lb/>qui tardiùs. </s></p><p type="head"> |
| | |
| <s>VIII.</s></p><p type="main"> | <s>VIII.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Æquales igitur vires dicentur, quæ æqualibus <lb/>motibus &longs;ubiecta &longs;ua mouebunt. </s> | <s>Æquales igitur vires dicentur, quæ æqualibus <lb/>motibus &longs;ubiecta &longs;ua mouebunt. </s> |
| | |
| |
| | |
| <s>Et hæc e&longs;t cau&longs;a cur ictus, quo magis ab al­<lb/>tero venit, eo vehementior &longs;it. </s> | <s>Et hæc e&longs;t cau&longs;a cur ictus, quo magis ab al­<lb/>tero venit, eo vehementior &longs;it. </s> |
| | |
| <s>Motus autem huius <pb pagenum="13"/>&longs;patia hanc celeritatis proportionem &longs;eruant, vt qu&ecedil;<lb/>e&longs;t ratio totius &longs;patij, per quod fit ille motus ad par­<lb/>tem ip&longs;ius (vtriu&longs;que initio inde &longs;umpto, vbi e&longs;t mo|| <lb/>tus initium) eadem &longs;it celeritatis ad celeritatem. <lb/><figure id="fig1"></figure><lb/>Exempli gratia, &longs;i vis aliqua per lineam ABC <lb/>mouerit, &longs;itque AB illius lineæ pars, quæ erit <lb/>ratio AC ad AB, eadem erit celeritatis motus <lb/>in puncto C ad <expan abbr="celeritat&etilde;">celeritatem</expan> motus in puncto B. <lb/></s> | <s>Motus autem huius <pb pagenum="13"/>&longs;patia hanc celeritatis proportionem &longs;eruant, vt qu&ecedil;<lb/>e&longs;t ratio totius &longs;patij, per quod fit ille motus ad par­<lb/>tem ip&longs;ius (vtriu&longs;que initio inde &longs;umpto, vbi e&longs;t mo|| <lb/>tus initium) eadem &longs;it celeritatis ad celeritatem. <lb/><figure id="fig1"/><lb/>Exempli gratia, &longs;i vis aliqua per lineam ABC <lb/>mouerit, &longs;itque AB illius lineæ pars, quæ erit <lb/>ratio AC ad AB, eadem erit celeritatis motus <lb/>in puncto C ad <expan abbr="celeritat&etilde;">celeritatem</expan> motus in puncto B. <lb/></s> |
| | |
| <s>Cuiu&longs;modi proportio ob&longs;eruatur in paralle­<lb/>lis triangulum &longs;ecantibus. </s> | <s>Cuiu&longs;modi proportio ob&longs;eruatur in paralle­<lb/>lis triangulum &longs;ecantibus. </s> |
| | |
| <s>Vt enim &longs;e habet <lb/><figure id="fig2"></figure><lb/>AC ad AB, &longs;ic CG ad BF, & vt AD ad <lb/>AC, &longs;ic DH ad CG. </s> | <s>Vt enim &longs;e habet <lb/><figure id="fig2"/><lb/>AC ad AB, &longs;ic CG ad BF, & vt AD ad <lb/>AC, &longs;ic DH ad CG. </s> |
| | |
| <s>Itaque &longs;i in &longs;patia ali­<lb/>quot æqualia diuidatur totius motus &longs;pa|| <lb/>tium, finis &longs;ecundi duplo citiùs feretur, <lb/>quàm finis primi: finis verò tertijtriplo <lb/>citiùs quàm finis primi, & &longs;ic deinceps. <lb/></s> | <s>Itaque &longs;i in &longs;patia ali­<lb/>quot æqualia diuidatur totius motus &longs;pa|| <lb/>tium, finis &longs;ecundi duplo citiùs feretur, <lb/>quàm finis primi: finis verò tertijtriplo <lb/>citiùs quàm finis primi, & &longs;ic deinceps. <lb/></s> |
| | |
| |
| | |
| <s>Viribus autem ita connexis, accidit vt altera in <lb/>alterius &longs;ubiectum agat, & altera in &longs;ubiecto &longs;uo exi-<pb pagenum="15"/>&longs;tens, alteri in altero &longs;ubiecto exi&longs;tenti re&longs;i&longs;tat, ita vt <lb/>eorum &longs;ubiecta quodammodo reciproca fiant. </s></p><p type="head"> | <s>Viribus autem ita connexis, accidit vt altera in <lb/>alterius &longs;ubiectum agat, & altera in &longs;ubiecto &longs;uo exi-<pb pagenum="15"/>&longs;tens, alteri in altero &longs;ubiecto exi&longs;tenti re&longs;i&longs;tat, ita vt <lb/>eorum &longs;ubiecta quodammodo reciproca fiant. </s></p><p type="head"> |
| | |
| <s>CONCLVSIO I.</s></p><p type="main"> | <s>CONCLVSIO I.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Illam autem re&longs;i&longs;tentiam vi momenti in eodem <lb/>&longs;ubiecto æqualem, aut eandem cum ea e&longs;&longs;e, ex ip&longs;ius <lb/>definitione con&longs;tat. </s> | <s>Illam autem re&longs;i&longs;tentiam vi momenti in eodem <lb/>&longs;ubiecto æqualem, aut eandem cum ea e&longs;&longs;e, ex ip&longs;ius <lb/>definitione con&longs;tat. </s> |
| | |
| |
| | |
| <s>Mouendi igitur & <expan abbr="mou&etilde;ti">mouenti</expan> re­<lb/>&longs;i&longs;tendi potentia in eodem &longs;ubiecto æquales &longs;unt. </s></p><p type="head"> | <s>Mouendi igitur & <expan abbr="mou&etilde;ti">mouenti</expan> re­<lb/>&longs;i&longs;tendi potentia in eodem &longs;ubiecto æquales &longs;unt. </s></p><p type="head"> |
| | |
| <s>II.</s></p><p type="main"> | <s>II.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Quemadmodum autem in eodem &longs;ubiecto ma­<lb/>ior vis ine&longs;&longs;e dicitur, in quo e&longs;t maioris motus po­<lb/>tentia, &longs;ic maior re&longs;i&longs;tentia erit maioris motus con­<lb/>trarij impatientia. </s> | <s>Quemadmodum autem in eodem &longs;ubiecto ma­<lb/>ior vis ine&longs;&longs;e dicitur, in quo e&longs;t maioris motus po­<lb/>tentia, &longs;ic maior re&longs;i&longs;tentia erit maioris motus con­<lb/>trarij impatientia. </s> |
| | |
| <s>Eadem igitur vis magis mouere <lb/>nitenti <expan abbr="cõtra">contra</expan> ip&longs;ius nutum magis re&longs;i&longs;tet, minus ve­<lb/>rò nitenti minùs re&longs;i&longs;tet. </s></p><p type="head"> | <s>Eadem igitur vis magis mouere <lb/>nitenti <expan abbr="cõtra">contra</expan> ip&longs;ius nutum magis re&longs;i&longs;tet, minus ve­<lb/>rò nitenti minùs re&longs;i&longs;tet. </s></p><p type="head"> |
| | |
| <s>III.</s></p><p type="main"> | <s>III.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Et quo maior erit motus contrarius, eo magis re­<lb/>&longs;i&longs;tet: id e&longs;t, quo celerius vis quælibet à nutu &longs;uo re­<lb/>uelletur, eo magis re&longs;i&longs;tet. </s> | <s>Et quo maior erit motus contrarius, eo magis re­<lb/>&longs;i&longs;tet: id e&longs;t, quo celerius vis quælibet à nutu &longs;uo re­<lb/>uelletur, eo magis re&longs;i&longs;tet. </s> |
| | |
| |
| | |
| <s>Si verò plures vires comparentur. </s></p><pb pagenum="16"/><p type="head"> | <s>Si verò plures vires comparentur. </s></p><pb pagenum="16"/><p type="head"> |
| | |
| <s>IIII.</s></p><p type="main"> | <s>IIII.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Æqualium quidem virium æqualibus motibus <lb/>æquales erunt re&longs;i&longs;tentiæ. </s> | <s>Æqualium quidem virium æqualibus motibus <lb/>æquales erunt re&longs;i&longs;tentiæ. </s> |
| | |
| <s>Si enim æquales vires æ­<lb/>qualiter à &longs;uis nutibus reuellantur, æqualiter re&longs;i­<lb/>&longs;tent. </s></p><p type="head"> | <s>Si enim æquales vires æ­<lb/>qualiter à &longs;uis nutibus reuellantur, æqualiter re&longs;i­<lb/>&longs;tent. </s></p><p type="head"> |
| | |
| <s>V.</s></p><p type="main"> | <s>V.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Inæqualibus verò motibus, earum re&longs;i&longs;tenti&ecedil; in­<lb/>æquales erunt, & motuum proportionem &longs;equen­<lb/>tur. </s> | <s>Inæqualibus verò motibus, earum re&longs;i&longs;tenti&ecedil; in­<lb/>æquales erunt, & motuum proportionem &longs;equen­<lb/>tur. </s> |
| | |
| |
| | |
| <s>Sin verò altera quidem quarta parte vnius milia­<lb/>ris à nutu &longs;uo reuellatur, altera verò eodem tempo­<lb/>re integro miliari reuellatur: hæc re&longs;i&longs;tentia ad il­<lb/>lam quadrupla erit, & &longs;ic de cæteris motuum pro­<lb/>portionibus. </s></p><p type="head"> | <s>Sin verò altera quidem quarta parte vnius milia­<lb/>ris à nutu &longs;uo reuellatur, altera verò eodem tempo­<lb/>re integro miliari reuellatur: hæc re&longs;i&longs;tentia ad il­<lb/>lam quadrupla erit, & &longs;ic de cæteris motuum pro­<lb/>portionibus. </s></p><p type="head"> |
| | |
| <s>VI.</s></p><p type="main"> | <s>VI.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Inæqualium verò virium re&longs;i&longs;tentiæ æqualibus <lb/>motibus ip&longs;arum virium proportionem &longs;equentur. <lb/></s> | <s>Inæqualium verò virium re&longs;i&longs;tentiæ æqualibus <lb/>motibus ip&longs;arum virium proportionem &longs;equentur. <lb/></s> |
| | |
| |
| | |
| <s>Duæ ergo re&longs;i&longs;tentiæ ad ean­<lb/>dem, eandem habebunt rationem, ergo æquales e­<lb/>runt per <emph type="italics"/>9<emph.end type="italics"/> prop. <emph type="italics"/>5.<emph.end type="italics"/></s><s> Elem. Eucl. </s></p><p type="head"> | <s>Duæ ergo re&longs;i&longs;tentiæ ad ean­<lb/>dem, eandem habebunt rationem, ergo æquales e­<lb/>runt per <emph type="italics"/>9<emph.end type="italics"/> prop. <emph type="italics"/>5.<emph.end type="italics"/></s><s> Elem. Eucl. </s></p><p type="head"> |
| | |
| <s>VIII.</s></p><p type="main"> | <s>VIII.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Si verò motuum virium inæqualium proportio <lb/>non &longs;it eadem quæ e&longs;t ip&longs;arum virium reciprocè, vis <lb/>illius quæ ad alteram maiorem habebit rationem, <lb/>quàm motus alterius ad motum ip&longs;ius, re&longs;i&longs;tentia <lb/>maior erit, altera verò minor. </s> | <s>Si verò motuum virium inæqualium proportio <lb/>non &longs;it eadem quæ e&longs;t ip&longs;arum virium reciprocè, vis <lb/>illius quæ ad alteram maiorem habebit rationem, <lb/>quàm motus alterius ad motum ip&longs;ius, re&longs;i&longs;tentia <lb/>maior erit, altera verò minor. </s> |
| | |
| |
| | |
| <s>His explicatis videamus <lb/>quis eorum &longs;it effectus, vbi vires committentur. </s></p><p type="head"> | <s>His explicatis videamus <lb/>quis eorum &longs;it effectus, vbi vires committentur. </s></p><p type="head"> |
| | |
| <s>IX.</s></p><p type="main"> | <s>IX.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Primùm ex prima conclu&longs;ione &longs;equitur qu&ecedil; erit <lb/>ratio re&longs;i&longs;tentiæ ad re&longs;i&longs;tentiam, eandem fore re&longs;i­<lb/>&longs;tentiæ ad vim cuius e&longs;t altera re&longs;i&longs;tentia: &longs;unt enim <lb/>vis & <expan abbr="re&longs;i&longs;t&etilde;tia">re&longs;i&longs;tentia</expan> in <expan abbr="eod&etilde;">eodem</expan> &longs;ubiecto æquales. </s> | <s>Primùm ex prima conclu&longs;ione &longs;equitur qu&ecedil; erit <lb/>ratio re&longs;i&longs;tentiæ ad re&longs;i&longs;tentiam, eandem fore re&longs;i­<lb/>&longs;tentiæ ad vim cuius e&longs;t altera re&longs;i&longs;tentia: &longs;unt enim <lb/>vis & <expan abbr="re&longs;i&longs;t&etilde;tia">re&longs;i&longs;tentia</expan> in <expan abbr="eod&etilde;">eodem</expan> &longs;ubiecto æquales. </s> |
| | |
| |
| | |
| <s>Hinc &longs;equuntur duo theoremata, circa <lb/>quæ totius huius con&longs;iderationis cardo vertitur. </s></p><p type="head"> | <s>Hinc &longs;equuntur duo theoremata, circa <lb/>quæ totius huius con&longs;iderationis cardo vertitur. </s></p><p type="head"> |
| | |
| <s>THEOREMA I.</s></p><p type="main"> | <s>THEOREMA I.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Duarum virium connexarum, quarum (&longs;i mo­<lb/>ueantur) motus erunt ip&longs;is <foreign lang="greek">a)ntipeponqw=s</foreign> proportiona­<lb/>les neutra alteram mouebit, &longs;ed æquilibrium <expan abbr="faci&etilde;t">facient</expan>. </s></p><p type="main"> | <s>Duarum virium connexarum, quarum (&longs;i mo­<lb/>ueantur) motus erunt ip&longs;is <foreign lang="greek">a)ntipeponqw=s</foreign> proportiona­<lb/>les neutra alteram mouebit, &longs;ed æquilibrium <expan abbr="faci&etilde;t">facient</expan>. </s></p><p type="main"> |
| | |
| |
| | |
| <s>Quod demon&longs;trandum erat. </s></p><p type="head"> | <s>Quod demon&longs;trandum erat. </s></p><p type="head"> |
| | |
| <s>THEOREMA II.</s></p><p type="main"> | <s>THEOREMA II.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Quarum verò ita connexarum (&longs;i <expan abbr="moueãtur">moueantur</expan>) mo|| <lb/>tus, ip&longs;is proportionales non erunt: illa alteram mo­<lb/>uebit, cuius ad alteram ratio maior erit, quàm huius <lb/>motus ad illius motum. </s></p><p type="main"> | <s>Quarum verò ita connexarum (&longs;i <expan abbr="moueãtur">moueantur</expan>) mo|| <lb/>tus, ip&longs;is proportionales non erunt: illa alteram mo­<lb/>uebit, cuius ad alteram ratio maior erit, quàm huius <lb/>motus ad illius motum. </s></p><p type="main"> |
| | |
| |
| | |
| <s>Quod erat propo&longs;itum. </s></p><p type="head"> | <s>Quod erat propo&longs;itum. </s></p><p type="head"> |
| | |
| <s>LEMMA I.</s></p><p type="main"> | <s>LEMMA I.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Duas vires ita connectere, vt &longs;i moueantur, <expan abbr="earũ">earum</expan> <lb/>motus, in data ratione alter ad alterum &longs;e habeant <lb/>vires contrariæ, aut medio aliquo, aut per &longs;e ab&longs;que <lb/>vllo medio committuntur. </s> | <s>Duas vires ita connectere, vt &longs;i moueantur, <expan abbr="earũ">earum</expan> <lb/>motus, in data ratione alter ad alterum &longs;e habeant <lb/>vires contrariæ, aut medio aliquo, aut per &longs;e ab&longs;que <lb/>vllo medio committuntur. </s> |
| | |
| |
| | |
| <s>Sit <expan abbr="ex&etilde;pli">exempli</expan> gratia <lb/>linea AB, quæ in puncto C in datam rationem &longs;ecta <lb/>&longs;it, puta vt pars AC quadrupla &longs;it ad partem CB, mo­<lb/>ueatúrque circa centrum C, punctum A de&longs;cribet cir|| <lb/>culum <expan abbr="quadruplũ">quadruplum</expan> ad illum quem B <lb/>de&longs;cribet. </s> | <s>Sit <expan abbr="ex&etilde;pli">exempli</expan> gratia <lb/>linea AB, quæ in puncto C in datam rationem &longs;ecta <lb/>&longs;it, puta vt pars AC quadrupla &longs;it ad partem CB, mo­<lb/>ueatúrque circa centrum C, punctum A de&longs;cribet cir|| <lb/>culum <expan abbr="quadruplũ">quadruplum</expan> ad illum quem B <lb/>de&longs;cribet. </s> |
| | |
| <s>E&longs;t enim <expan abbr="ead&etilde;">eadem</expan> ratio in cir­<lb/>culo diametri ad <expan abbr="diametrũ">diametrum</expan>, quæ e&longs;t <lb/>circunferentiæ ad <expan abbr="circunferentiã">circunferentiam</expan> (vt <lb/>alibi demon&longs;trauimus.) Hac igitur <lb/>ratione A puncti motus quadruplus <lb/><figure id="fig3"></figure><lb/>erit ad puncti B <expan abbr="motũ">motum</expan>. </s> | <s>E&longs;t enim <expan abbr="ead&etilde;">eadem</expan> ratio in cir­<lb/>culo diametri ad <expan abbr="diametrũ">diametrum</expan>, quæ e&longs;t <lb/>circunferentiæ ad <expan abbr="circunferentiã">circunferentiam</expan> (vt <lb/>alibi demon&longs;trauimus.) Hac igitur <lb/>ratione A puncti motus quadruplus <lb/><figure id="fig3"/><lb/>erit ad puncti B <expan abbr="motũ">motum</expan>. </s> |
| | |
| <s>Si verò ponamus AD <expan abbr="perpen-dicular&etilde;">perpen­<lb/>dicularem</expan> e&longs;&longs;e, & linea AB illi primùm <expan abbr="coincid&etilde;s">coincidens</expan> circa <lb/>punctum C, moueatur donec A ad D perueniat: tum <lb/><expan abbr="eod&etilde;">eodem</expan> momento B perueniet ad E: motum igitur erit <lb/>A in linea <expan abbr="perp&etilde;diculari">perpendiculari</expan> tota circuli maioris diame­<lb/>tro, quæ e&longs;t AD:B verò in <expan abbr="ead&etilde;">eadem</expan> linea, minoris <expan abbr="tãtùm">tantùm</expan> <lb/>circuli diametro <expan abbr="motũ">motum</expan> erit, qu&ecedil; e&longs;t BE. </s> | <s>Si verò ponamus AD <expan abbr="perpen-dicular&etilde;">perpen­<lb/>dicularem</expan> e&longs;&longs;e, & linea AB illi primùm <expan abbr="coincid&etilde;s">coincidens</expan> circa <lb/>punctum C, moueatur donec A ad D perueniat: tum <lb/><expan abbr="eod&etilde;">eodem</expan> momento B perueniet ad E: motum igitur erit <lb/>A in linea <expan abbr="perp&etilde;diculari">perpendiculari</expan> tota circuli maioris diame­<lb/>tro, quæ e&longs;t AD:B verò in <expan abbr="ead&etilde;">eadem</expan> linea, minoris <expan abbr="tãtùm">tantùm</expan> <lb/>circuli diametro <expan abbr="motũ">motum</expan> erit, qu&ecedil; e&longs;t BE. </s> |
| | |
| |
| | |
| <s>Ante igitur &longs;ecundum lemma de­<lb/>mon&longs;trabimus. </s></p><p type="head"> | <s>Ante igitur &longs;ecundum lemma de­<lb/>mon&longs;trabimus. </s></p><p type="head"> |
| | |
| <s>LEMMA II.</s></p><p type="main"> | <s>LEMMA II.<!-- KEEP S--></s></p><p type="main"> |
| | |
| <s>Proportionem proximè maiorem vel minorem, <lb/>quàm &longs;it datæ vis ad datum pondus proportio, de­<lb/>terminare vis cuiuslibet quantitas ex motu ciere po|| <lb/>te&longs;t, metienda e&longs;t. </s> | <s>Proportionem proximè maiorem vel minorem, <lb/>quàm &longs;it datæ vis ad datum pondus proportio, de­<lb/>terminare vis cuiuslibet quantitas ex motu ciere po|| <lb/>te&longs;t, metienda e&longs;t. </s> |
| | |
| |
| | |
| <s>His igitur modis virium duarum datarum pro­<lb/>portio proximè maior nota fiet, quod in &longs;ecundo <lb/>lemmate demon&longs;trandum &longs;ump&longs;eramus. </s></p><p type="main"> | <s>His igitur modis virium duarum datarum pro­<lb/>portio proximè maior nota fiet, quod in &longs;ecundo <lb/>lemmate demon&longs;trandum &longs;ump&longs;eramus. </s></p><p type="main"> |
| | |
| <s>Iam redeamus ad mediorum, quibus vi­<lb/>res annectuntur, con&longs;ide­<lb/>rationem. </s></p><pb pagenum="32"/><figure></figure><p type="main"> | <s>Iam redeamus ad mediorum, quibus vi­<lb/>res annectuntur, con&longs;ide­<lb/>rationem. </s></p><pb pagenum="32"/><figure/><p type="main"> |
| | |
| <s>Docuimus quis &longs;it &longs;implicis ve­<lb/>ctis effectus, &longs;implex autem ve­<lb/>ctis &longs;emicirculi conuer&longs;ione &longs;uam <lb/>operationem ab&longs;ouit, ita vt &longs;i <lb/>vlteriùs F moueatur in in alio &longs;e­<lb/>micirculo motus prioribus contra­<lb/>rios cieat: vt exempli gratia, &longs;it <lb/>vectis AB, cuius hypomochium <lb/>&longs;it C, dum A punctum de&longs;cribet &longs;emicirculum AFD, <lb/>motus ille deor&longs;um erit: interea verò B punctum <lb/>de&longs;cribet &longs;emicirculum BGE a&longs;cendendo: &longs;i verò A <lb/>tran&longs;cendat, D incipiet a&longs;cendere: B verò tran&longs;cen­<lb/>dens, E <expan abbr="de&longs;c&etilde;det">de&longs;cendet</expan>: ideo excogitata e&longs;t vectis ratio per­<lb/>petua ex plurium vectium &longs;ucce&longs;&longs;ione circa idem <lb/>hypomochlium: e&longs;t autem illa tum in ergatis aut &longs;u­<lb/>culis, tum in duorum tympanorum homocentrico­<lb/>rum, &longs;eu eadem axe transfixorum in planis parallelis <lb/>aptatione, quorum &longs;emidiametri &longs;int in eadem pro­<lb/>portione quæ in vecte ad propo&longs;itum motum cien­<lb/>dum nece&longs;&longs;aria e&longs;t: centrum verò eorum &longs;eu axis fi­<lb/>xa &longs;it, ac ita vires aptentur, vt maior minorem, mi­<lb/>nor verò maiorem tympanum impellat. </s> | <s>Docuimus quis &longs;it &longs;implicis ve­<lb/>ctis effectus, &longs;implex autem ve­<lb/>ctis &longs;emicirculi conuer&longs;ione &longs;uam <lb/>operationem ab&longs;ouit, ita vt &longs;i <lb/>vlteriùs F moueatur in in alio &longs;e­<lb/>micirculo motus prioribus contra­<lb/>rios cieat: vt exempli gratia, &longs;it <lb/>vectis AB, cuius hypomochium <lb/>&longs;it C, dum A punctum de&longs;cribet &longs;emicirculum AFD, <lb/>motus ille deor&longs;um erit: interea verò B punctum <lb/>de&longs;cribet &longs;emicirculum BGE a&longs;cendendo: &longs;i verò A <lb/>tran&longs;cendat, D incipiet a&longs;cendere: B verò tran&longs;cen­<lb/>dens, E <expan abbr="de&longs;c&etilde;det">de&longs;cendet</expan>: ideo excogitata e&longs;t vectis ratio per­<lb/>petua ex plurium vectium &longs;ucce&longs;&longs;ione circa idem <lb/>hypomochlium: e&longs;t autem illa tum in ergatis aut &longs;u­<lb/>culis, tum in duorum tympanorum homocentrico­<lb/>rum, &longs;eu eadem axe transfixorum in planis parallelis <lb/>aptatione, quorum &longs;emidiametri &longs;int in eadem pro­<lb/>portione quæ in vecte ad propo&longs;itum motum cien­<lb/>dum nece&longs;&longs;aria e&longs;t: centrum verò eorum &longs;eu axis fi­<lb/>xa &longs;it, ac ita vires aptentur, vt maior minorem, mi­<lb/>nor verò maiorem tympanum impellat. </s> |
| | |
| |
| | |
| <s>Quod verò per lineam à loco naturali æquè <lb/>di&longs;tantem (id e&longs;t, per eam quæ nutus lineas &longs;ecat ad <lb/>angulos rectos) mouetur, illud mouenti non re&longs;i­<lb/>&longs;tit, omnium autem linearum inter illas intercepta-<pb pagenum="35"/>rum, ac cum illis in earum inter&longs;ectionis puncto <expan abbr="cõ-currentium">con­<lb/>currentium</expan>, quæ obliquè nutum ver&longs;us, aut contra <lb/>nutum ferri dicuntur, quo propiùs quælibet ad nu­<lb/>tus lineam accedit, per illam rei motæ vis aut <expan abbr="re&longs;i&longs;t&etilde;-tia">re&longs;i&longs;ten­<lb/>tia</expan> maior e&longs;t: quò verò propiùs ad lineam à loco na­<lb/>turali æqui di&longs;tantem accedit, eò minor e&longs;t. </s> | <s>Quod verò per lineam à loco naturali æquè <lb/>di&longs;tantem (id e&longs;t, per eam quæ nutus lineas &longs;ecat ad <lb/>angulos rectos) mouetur, illud mouenti non re&longs;i­<lb/>&longs;tit, omnium autem linearum inter illas intercepta-<pb pagenum="35"/>rum, ac cum illis in earum inter&longs;ectionis puncto <expan abbr="cõ-currentium">con­<lb/>currentium</expan>, quæ obliquè nutum ver&longs;us, aut contra <lb/>nutum ferri dicuntur, quo propiùs quælibet ad nu­<lb/>tus lineam accedit, per illam rei motæ vis aut <expan abbr="re&longs;i&longs;t&etilde;-tia">re&longs;i&longs;ten­<lb/>tia</expan> maior e&longs;t: quò verò propiùs ad lineam à loco na­<lb/>turali æqui di&longs;tantem accedit, eò minor e&longs;t. </s> |
| | |
| <s><expan abbr="Omniũ">Omnium</expan> <lb/>autem maxima e&longs;t in nutus linea, æquidi&longs;tans verò <lb/>à loco naturali motui per lineam nutus omnino op|| <lb/>po&longs;ita e&longs;t, obliquæ verò non ita quia &longs;ecundum illas <lb/><expan abbr="eod&etilde;">eodem</expan> &longs;patio delata vis propiùs ad <expan abbr="locũ">locum</expan> <expan abbr="natural&etilde;">naturalem</expan> acce­<lb/>dit, aut ab eo recedit, quàm e&longs;&longs;et, cùm moueri cœpit. </s></p><figure></figure><p type="main"> | <s><expan abbr="Omniũ">Omnium</expan> <lb/>autem maxima e&longs;t in nutus linea, æquidi&longs;tans verò <lb/>à loco naturali motui per lineam nutus omnino op|| <lb/>po&longs;ita e&longs;t, obliquæ verò non ita quia &longs;ecundum illas <lb/><expan abbr="eod&etilde;">eodem</expan> &longs;patio delata vis propiùs ad <expan abbr="locũ">locum</expan> <expan abbr="natural&etilde;">naturalem</expan> acce­<lb/>dit, aut ab eo recedit, quàm e&longs;&longs;et, cùm moueri cœpit. </s></p><figure/><p type="main"> |
| | |
| <s>Sit exempli gratia AB linea <lb/>nutus, vis alicuius, puta ponde­<lb/>ris, &longs;itque A &longs;ur&longs;um & contra nu|| <lb/>tum: B verò deor&longs;um & nutum <lb/>ver&longs;us, de&longs;cribatúrque circulus, <lb/>cuius AB &longs;it diameter, quàm CD, <lb/>alia diameter &longs;ecet ad angulos <lb/>rectos in centro E: omnes igitur <lb/>lineæ à centro E ad circunferentiam circuli ductæ, <lb/>quæ <expan abbr="cad&etilde;t">cadent</expan> intra <expan abbr="&longs;emicirculũ">&longs;emicirculum</expan> CAD, contra <expan abbr="nutũ">nutum</expan> <expan abbr="a&longs;c&etilde;-dere">a&longs;cen­<lb/>dere</expan> dicentur, quatenus circunferentiam &longs;pectant: <lb/>quatenus verò centrum &longs;pectant, de&longs;cendere dicen­<lb/>tur: <expan abbr="cõtra">contra</expan> verò omnes in &longs;emicirculo CBD à centro <lb/>ad circunferentiam ductæ de&longs;cendere circunferen­<lb/>tiam ver&longs;us, & centrum ver&longs;us a&longs;cendere dicentur: <pb pagenum="36"/>illæ igitur erunt, quæ obliquè nutum ver&longs;us aut con|| <lb/>tra nutum ferri <expan abbr="dicũtur">dicuntur</expan>: linea verò CED, neque <expan abbr="a&longs;c&etilde;-det">a&longs;cen­<lb/>det</expan>, neque de&longs;cendet: lineæ verò in ip&longs;am ad angu­<lb/>los rectos incidentes nutus lineæ erunt, quoniam li­<lb/>neæ AB parallelæ erunt: &longs;i igitur à centro E <expan abbr="ducãtur">ducantur</expan> <lb/>lineæ ad circunferentiam inter A & D, puta EF, EG, <lb/>EH, quarum EF &longs;it proxima lineæ AB:EH verò pro­<lb/>xima lineæ CD, ac per illas moueantur contra <expan abbr="nutũ">nutum</expan> <lb/>tres vires æquales eodem tempore, ita vt prima per <lb/>lineam EF perueniat ad punctum F: &longs;ecunda verò <lb/>per EG perueniat ad G, tertia per EH perueniat ad H, <lb/>dico vis motæ per EF maiorem fore re&longs;i&longs;tentiam, <lb/>quàm illius quæ per EG aut EH, mouebitur & illius <lb/>quæ per EG mouebitur, maiorem quàm eius quæ <lb/>per EH mouebitur. </s> | <s>Sit exempli gratia AB linea <lb/>nutus, vis alicuius, puta ponde­<lb/>ris, &longs;itque A &longs;ur&longs;um & contra nu|| <lb/>tum: B verò deor&longs;um & nutum <lb/>ver&longs;us, de&longs;cribatúrque circulus, <lb/>cuius AB &longs;it diameter, quàm CD, <lb/>alia diameter &longs;ecet ad angulos <lb/>rectos in centro E: omnes igitur <lb/>lineæ à centro E ad circunferentiam circuli ductæ, <lb/>quæ <expan abbr="cad&etilde;t">cadent</expan> intra <expan abbr="&longs;emicirculũ">&longs;emicirculum</expan> CAD, contra <expan abbr="nutũ">nutum</expan> <expan abbr="a&longs;c&etilde;-dere">a&longs;cen­<lb/>dere</expan> dicentur, quatenus circunferentiam &longs;pectant: <lb/>quatenus verò centrum &longs;pectant, de&longs;cendere dicen­<lb/>tur: <expan abbr="cõtra">contra</expan> verò omnes in &longs;emicirculo CBD à centro <lb/>ad circunferentiam ductæ de&longs;cendere circunferen­<lb/>tiam ver&longs;us, & centrum ver&longs;us a&longs;cendere dicentur: <pb pagenum="36"/>illæ igitur erunt, quæ obliquè nutum ver&longs;us aut con|| <lb/>tra nutum ferri <expan abbr="dicũtur">dicuntur</expan>: linea verò CED, neque <expan abbr="a&longs;c&etilde;-det">a&longs;cen­<lb/>det</expan>, neque de&longs;cendet: lineæ verò in ip&longs;am ad angu­<lb/>los rectos incidentes nutus lineæ erunt, quoniam li­<lb/>neæ AB parallelæ erunt: &longs;i igitur à centro E <expan abbr="ducãtur">ducantur</expan> <lb/>lineæ ad circunferentiam inter A & D, puta EF, EG, <lb/>EH, quarum EF &longs;it proxima lineæ AB:EH verò pro­<lb/>xima lineæ CD, ac per illas moueantur contra <expan abbr="nutũ">nutum</expan> <lb/>tres vires æquales eodem tempore, ita vt prima per <lb/>lineam EF perueniat ad punctum F: &longs;ecunda verò <lb/>per EG perueniat ad G, tertia per EH perueniat ad H, <lb/>dico vis motæ per EF maiorem fore re&longs;i&longs;tentiam, <lb/>quàm illius quæ per EG aut EH, mouebitur & illius <lb/>quæ per EG mouebitur, maiorem quàm eius quæ <lb/>per EH mouebitur. </s> |
| | |
| |
| | |
| <s>Illa enim tantùm mouebitur, <lb/>quantum latus cui altera incumbit. </s> | <s>Illa enim tantùm mouebitur, <lb/>quantum latus cui altera incumbit. </s> |
| | |
| <s>Sit exempli gra­<pb pagenum="38"/><figure id="fig4"></figure><lb/>tia triangulus ABC, cuius angulus B <lb/>rectus &longs;it, latus verò illum &longs;ubtendens <lb/>&longs;it AC, incumbátque vis D lateri AB, <lb/>vis verò E lateri AC, &longs;itque vis D nutus <lb/>linea BC, vis verò E nutus &longs;it linea AB, erigatúrque à <lb/>puncto C linea CF <expan abbr="perp&etilde;dicularis">perpendicularis</expan> ad BC æqualis AB, <lb/>à qua vis E <expan abbr="nõ">non</expan> di&longs;cedat. </s> | <s>Sit exempli gra­<pb pagenum="38"/><figure id="fig4"/><lb/>tia triangulus ABC, cuius angulus B <lb/>rectus &longs;it, latus verò illum &longs;ubtendens <lb/>&longs;it AC, incumbátque vis D lateri AB, <lb/>vis verò E lateri AC, &longs;itque vis D nutus <lb/>linea BC, vis verò E nutus &longs;it linea AB, erigatúrque à <lb/>puncto C linea CF <expan abbr="perp&etilde;dicularis">perpendicularis</expan> ad BC æqualis AB, <lb/>à qua vis E <expan abbr="nõ">non</expan> di&longs;cedat. </s> |
| | |
| <s>Si triangulum illud in plano <lb/>fixo moueatur, donec AB perueniat ad CF, mota e­<lb/>rit vis D nutu &longs;uo tantùm, quanta e&longs;t linea BC, vis ve­<lb/>rò E tantum, quanta e&longs;t linea AB. </s> | <s>Si triangulum illud in plano <lb/>fixo moueatur, donec AB perueniat ad CF, mota e­<lb/>rit vis D nutu &longs;uo tantùm, quanta e&longs;t linea BC, vis ve­<lb/>rò E tantum, quanta e&longs;t linea AB. </s> |
| | |
| |
| | |
| <s>Si quod igitur <lb/>eorum potentia proxima &longs;it rari&longs;&longs;imum, ita vt nullo <lb/>negotio actus ille raritatis induci po&longs;&longs;it, <expan abbr="concluda-túrq;">concluda­<lb/>túrque</expan> loco aliquo angu&longs;to, po&longs;tea inducatur ille a­<lb/>ctus, cùm rara <expan abbr="maior&etilde;">maiorem</expan> locum occupent, quum den­<lb/>&longs;a, fiet vt locus in omnem partem di&longs;tendatur, illius <lb/>autem partes minùs cohærentes, tantum impellen­<pb pagenum="46"/>tur, quanta e&longs;t proportio molis rei rarefactæ ad mo­<lb/>lem illius cùm den&longs;a e&longs;&longs;et: illa autem raritatis po­<lb/>tentia proxima e&longs;t in compo&longs;itione &longs;ulphuris <lb/>& nitri: ea igitur & &longs;imilibus &longs;ubiectis, <lb/>in data vi datus motus <lb/>cieri pote&longs;t. </s></p><p type="head"> | <s>Si quod igitur <lb/>eorum potentia proxima &longs;it rari&longs;&longs;imum, ita vt nullo <lb/>negotio actus ille raritatis induci po&longs;&longs;it, <expan abbr="concluda-túrq;">concluda­<lb/>túrque</expan> loco aliquo angu&longs;to, po&longs;tea inducatur ille a­<lb/>ctus, cùm rara <expan abbr="maior&etilde;">maiorem</expan> locum occupent, quum den­<lb/>&longs;a, fiet vt locus in omnem partem di&longs;tendatur, illius <lb/>autem partes minùs cohærentes, tantum impellen­<pb pagenum="46"/>tur, quanta e&longs;t proportio molis rei rarefactæ ad mo­<lb/>lem illius cùm den&longs;a e&longs;&longs;et: illa autem raritatis po­<lb/>tentia proxima e&longs;t in compo&longs;itione &longs;ulphuris <lb/>& nitri: ea igitur & &longs;imilibus &longs;ubiectis, <lb/>in data vi datus motus <lb/>cieri pote&longs;t. </s></p><p type="head"> |
| | |
| <s>FINIS.</s></p><figure></figure><p type="head"> | <s>FINIS.<!-- KEEP S--></s></p><figure/><p type="head"> |
| | |
| <s>Errata quæ inter imprimendum irrep&longs;erunt, <lb/>&longs;ic corrigito.</s></p><p type="main"> | <s>Errata quæ inter imprimendum irrep&longs;erunt, <lb/>&longs;ic corrigito.</s></p><p type="main"> |
| | |
| |
| | |
| <s>pag.<emph.end type="italics"/> 40. <emph type="italics"/>linea<emph.end type="italics"/> 5. <emph type="italics"/>&longs;uppo&longs;itæ, lege <lb/>&longs;uperpo&longs;itæ li.<emph.end type="italics"/> 7. <emph type="italics"/>connexæ, lege conuexæ. </s> | <s>pag.<emph.end type="italics"/> 40. <emph type="italics"/>linea<emph.end type="italics"/> 5. <emph type="italics"/>&longs;uppo&longs;itæ, lege <lb/>&longs;uperpo&longs;itæ li.<emph.end type="italics"/> 7. <emph type="italics"/>connexæ, lege conuexæ. </s> |
| | |
| <s>lin.<emph.end type="italics"/> 13. <emph type="italics"/>affectus, lege effectus.<emph.end type="italics"/></s></p> </chap> </body> <back></back> </text></archimedes> | |
| | |
| | <s>lin.<emph.end type="italics"/> 13. <emph type="italics"/>affectus, lege effectus.<emph.end type="italics"/></s></p> </chap> </body> <back/> </text></archimedes> |
![[BACK]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/back.gif){kind=icon}
Return to varro_demot_01_la_1584.xml
CVS log ![[TXT]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/text.gif){kind=icon}
![[DIR]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/dir.gif){kind=icon}
Up to [CVSROOT] / texts / archimedes / xml