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Colored diff for /texts/archimedes/xml/Attic/monan_mecha_01_la_1599.xml between version 1.14 and 1.15

version 1.14, 2002/08/08 00:11:22

version 1.15, 2002/08/08 08:32:07

Line 1152

<s>Huius rci <lb/>fecit mentionem Galenus, qui miracula inquit moliuntur principio <lb/>motionis exhibito di&longs;cedunt, Machinæ vero ip&longs;æ aliquanti&longs;per, non <lb/>multo tamen tempore per &longs;e ip&longs;æ arti&longs;iciosè impelluntur. </s>

<s>cap.

<s>6. lib.

6. lib.

de <lb/>f&oelig;t. </s>

Line 1216

<s>Huius vero.] <emph type="italics"/>Cau&longs;a exactiorum librarum refertur ad circuli<emph.end type="italics"/><pb pagenum="28"/><emph type="italics"/>radios longiores, qui celerius feruntur minoribus, id e&longs;t qui æquali <lb/>tempore maius &longs;patium, & proinde &longs;en &longs;ibilius tran&longs;eunt.<emph.end type="italics"/></s>

<s>Celerius enim.] <emph type="italics"/>Celeritatis lationum duos modos adfert &longs;i<lb/>miles ÿs quos cap. </s>

<s>Celerius enim.] <emph type="italics"/>Celeritatis lationum duos modos adfert &longs;i<lb/>miles ÿs quos cap.

<s>2. lib.

2. lib.

6. de Phy&longs;. </s>

Line 1436

<s>Confirmatio apertior &longs;ic erit. <lb/></s>

<s>Radius de&longs;cribens circulum vna tantum latione fertur, aut pluri<lb/>bus: non vna tantum, quia ad vnam tantum loci differentiam, <lb/>cum &longs;it quid &longs;implicißimum, ferretur (probat enim hoc Ari&longs;toteles <lb/>cap. </s>

<s>2. lib.

2. lib.

1. de C&oelig;lo) Quinetiam &longs;i &longs;ic. </s>

Line 1814

<s>Qvod vero propterea libræ.] <foreign lang="greek"><gap/>u<gap/>s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek"><gap/>u<gap/>n</foreign> <emph type="italics"/>præter iu<lb/>gum, remigum &longs;edes, & tran&longs;tra curruum & nauium &longs;ignifi<lb/>cat etiam libram & &longs;tateram, hinc illud Pythagoræ<emph.end type="italics"/> <foreign lang="greek">mh\zu<gap/>n u(per<lb/><gap/>a/inein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris & vt annotat Budæus<emph.end type="italics"/> <foreign lang="greek">zu<gap/>a/<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="põderibus">ponderibus</expan> præfecti ap<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena & examinata æquitate <lb/>à Zygo quod e&longs;t libra publice temperata & con&longs;tituta, vt quemad<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam.<emph.end type="italics"/><lb/><arrow.to.target n="marg14"></arrow.to.target><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>& pondus æquum voluntas eius.<emph.end type="italics"/></s>

<s><margin.target id="marg14"></margin.target>Initio <lb/>cap. </s>

<s><margin.target id="marg14"></margin.target>Initio <lb/>cap.

<s>11. <lb/>Prouerb.</s>

11. <lb/>Prouerb.</s>

<s>Agina fit cen<lb/><figure id="fig12"></figure><lb/><expan abbr="tr&utilde;">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari<lb/>&longs;toteles <expan abbr="accõmodat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltimò <lb/><expan abbr="demon&longs;tratã">demon&longs;tratam</expan>. </s>

Line 2072

<s>Proinde etiam onus ad partis ve<lb/>ctis cui impo&longs;itum e&longs;t, motionem mouebitur, & tunc non &longs;olum ele<lb/>uatur: &longs;ed & &longs;i opus e&longs;t, fiatque vectis perpendicularis &longs;olo, &longs;ecundum<emph.end type="italics"/><pb pagenum="56"/><emph type="italics"/>latus impellitur. </s>

<s>Vtrumque vectis v&longs;um Vitruuius cap. </s>

<s>Vtrumque vectis v&longs;um Vitruuius cap.

<s>8. lib.

8. lib.

10. &longs;ic <lb/>explicuit. </s>

Line 2244

<s>Apertius igitur &longs;ic. </s>

<s>Sit vectis<emph.end type="italics"/> <foreign lang="greek">a b,</foreign> <emph type="italics"/>pondus vero<emph.end type="italics"/> <foreign lang="greek">g,</foreign><lb/><emph type="italics"/>mouens autem<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>preßio<emph.end type="italics"/> <foreign lang="greek">e.</foreign> <emph type="italics"/>Cum ip&longs;um<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>quod moueat, &longs;it vbi<emph.end type="italics"/> <foreign lang="greek">h</foreign><emph type="italics"/>: <lb/>& pondus<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>motum erit vbi<emph.end type="italics"/> <foreign lang="greek">k.</foreign> <emph type="italics"/>quod ita &longs;e habere o&longs;tendit tertia <lb/>proprietas circuli, ex qua cap. </s>

<s>1. huius lib.

1. huius lib.

o&longs;ten&longs;um e&longs;t diametri ex<lb/>tremo vno deor&longs;um moto, alterum eodem tempore &longs;ur&longs;um moueri. </s>

Line 2364

<s>6. hæc hæ<lb/>bet.<emph.end type="italics"/> <foreign lang="greek"><gap/>pihra/fxwn )<gap/>pi<gap/>o<gap/>a\s w_ro\s tw_| )ex dimwoi/ou mi<gap/>w_| dido/ntwn <lb/>pi_s <gap/>ari/tais,</foreign> <emph type="italics"/>Thranitæ præter &longs;tipendium publicum à trierarchis <lb/>donatiuum con&longs;equebantur, cuius rei cau&longs;a &longs;ubdita e&longs;t à &longs;choliaste, <lb/><expan abbr="quoniãremos">quoniarremos</expan> longiores trahebant, grauioreque labore vexabantur, <lb/>& adhuc hodie eò loci remigant ex omnibus delecti robu&longs;tiores, à <lb/>largis &longs;patulis Gallis dicti Eppaliers. </s>

<s>Hic verò cap.

24. lib. </s>

<s>I, de v&longs;u<emph.end type="italics"/><pb pagenum="65"/><emph type="italics"/>partium &longs;ic ait, In triremibus <expan abbr="remor&utilde;">remorum</expan> extremitates ad vnam æqua<lb/>litatem perueniunt, cum tamen ip&longs;i omnes non &longs;int æquales, etenim <lb/>etiam ibi medios eandem ob cau&longs;am maximos efficiunt, id e&longs;t, vt vi<lb/>dere licet ex i&longs;to cap. </s>

Line 3424

<s>Prior venit in men<lb/>tem ob duos locos apud Galenum à perpaucis intellectos. </s>

<s>Alter e&longs;t <lb/>cap. </s>

<s>Alter e&longs;t <lb/>cap.

<s>9. lib.

9. lib.

2. de mu&longs;c. </s>

Line 3462

<s><arrow.to.target n="marg25"></arrow.to.target><pb pagenum="96"/><emph type="italics"/>detrahitur his velum, & vocantur<emph.end type="italics"/> <foreign lang="greek">mesouri/ai</foreign>: <emph type="italics"/>aut intenditur vtrin<lb/>que ad proram, & &longs;unt<emph.end type="italics"/> <foreign lang="greek">w_<gap/>/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="greek"><gap/>\ ta\s gwni/as</foreign> <emph type="italics"/>ad angulos, & dicuntur<emph.end type="italics"/> <foreign lang="greek">po/des</foreign> <emph type="italics"/>& ante hos<emph.end type="italics"/><lb/><foreign lang="greek">w_<gap/>/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib.

2. cap. </s>

2. cap.

<s>47. Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant.<emph.end type="italics"/></s>

47. Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant.<emph.end type="italics"/></s>

Line 3516

<s>Sed neque &longs;i maximus quidem &longs;uerit ventus, nauis autem & <lb/>maxima & grauis, & duo &longs;olum aut tres remigent, remigum actio<lb/>nem apparere poßibile e&longs;t. </s>

<s>cap.

<s>19. lib.

19. lib.

1. de v&longs;. </s>

Line 3760

<s>Intelligetur quoque quomodo illius c&oelig;li <lb/>motus &longs;it omnium motuum <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan>. </s>

<s>Nam cum men&longs;ura &longs;it in vno<lb/>quoque genere minimum, vt e&longs;t cap. </s>

<s>Nam cum men&longs;ura &longs;it in vno<lb/>quoque genere minimum, vt e&longs;t cap.

<s>4. lib.

4. lib.

2. de C&oelig;l. </s>

Line 4012

<s>De hoc autem genere lo<lb/>cus hic intelligi debet. </s>

<s>De altero dicetur cap. </s>

<s>De altero dicetur cap.

12.<emph.end type="italics"/></s>

<s>Vt diximus ctiam.] <emph type="italics"/>Confirmatio e&longs;t propo&longs;itionis præceden<lb/>tis &longs;yllogi&longs;mi per &longs;peciem libræ, quæ tantò exactior exi&longs;tit: quantò li<lb/>brile habet longius, è &longs;uperioribus repetitam. </s>

Line 4168

<s>In medio latior, & paululum excauatus, vt <lb/>ibi mißile contineatur, quod aliquoties circumacto in orbem funicu<lb/>lo, & ab vno capitum dimi&longs;&longs;o vehementer proÿcitur. </s>

<s>Inuentam à <lb/>Phenicibus fui&longs;&longs;e refert Plinius cap. </s>

<s>Inuentam à <lb/>Phenicibus fui&longs;&longs;e refert Plinius cap.

<s>56. lib.

56. lib.

7. ne manus iaculi a&longs;pe<lb/>rioris attrectatione læderetur, & vt longius atque validius proÿce<lb/>retur. </s>

Line 4416

<s>cap.

<s>8. <lb/>lib.

8. <lb/>lib.

8.</s>

Line 5304

<s>COMMENTARIVS.</s>

<s>De dentiduco.] <foreign lang="greek">o)donta/<gap/>an h)\ o)donta/gw<gap/>n</foreign> <emph type="italics"/>vertit Cælius <lb/>Aurelianus cap. </s>

<s>De dentiduco.] <foreign lang="greek">o)donta/<gap/>an h)\ o)donta/gw<gap/>n</foreign> <emph type="italics"/>vertit Cælius <lb/>Aurelianus cap.

<s>4. lib.

4. lib.

2.<emph.end type="italics"/> <foreign lang="greek"><gap/>oniw_n</foreign> <emph type="italics"/>paßionum dentiducum: Cel<lb/>&longs;us forficem, & generaliter forcipem. </s>

Line 5992

<s>At &longs;i obliquè ex<lb/>tendantur, minus erunt: quam &longs;i &longs;ecundum diametrum. </s>

<s>I uxta ed quæ <lb/>demon&longs;trata &longs;unt cap. </s>

<s>I uxta ed quæ <lb/>demon&longs;trata &longs;unt cap.

<s>15. lib.

15. lib.

huius. </s>

Line 6162

<s>In parallelis enim.] <emph type="italics"/>Quod hic dicit Ari&longs;toteles<emph.end type="italics"/> <foreign lang="greek">i)/sas <gap/>a/mmas</foreign><lb/><emph type="italics"/>vertimus parallelas. </s>

<s>Sic enim etiam locutus e&longs;t cap. </s>

<s>Sic enim etiam locutus e&longs;t cap.

<s>5. lib.

5. lib.

1. po&longs;teriore <lb/>analytic. </s>

Line 6816

<s>Cæterum &longs;agitta & ha&longs;ta & quicquid <lb/>aliud tale e&longs;t ten&longs;a coria facilius, quam laxa penetrat quod illa qui<lb/>dem re&longs;i&longs;tunt: hæc autem cedentia paulatim eorum quæ incidunt, <lb/>violentiam exoluunt, Gal. </s>

<s>cap.

<s>8. lib.

8. lib.

2. de v&longs;. </s>

Line 6894

<s><emph type="italics"/>Neutrum igitur proiectum fertur, nedum procul.<emph.end type="italics"/></s>

<s><emph type="italics"/>Propo&longs;itionis huius &longs;yllogi&longs;mi prior pars per&longs;e clara e&longs;t, & illu&longs;trata <lb/>etiam ijs quæ à nobis cap. </s>

<s><emph type="italics"/>Propo&longs;itionis huius &longs;yllogi&longs;mi prior pars per&longs;e clara e&longs;t, & illu&longs;trata <lb/>etiam ijs quæ à nobis cap.

<s>32. dicta &longs;unt. </s>

32. dicta &longs;unt. </s>

<s>Po&longs;terior de re&longs;i&longs;tentia etiam <lb/>vera e&longs;t, quia &longs;i mobile motori non re&longs;i&longs;tat, motus non fiet in tempo<lb/>re, & &longs;ucceßione.: &longs;ed in in&longs;tanti quod e&longs;t contra demon&longs;trata ab <lb/>Ari&longs;totele lib.

Line 7074

<s>Sed reuocare gradum, &longs;upera&longs;que euadere ad auras, <lb/>Hocopus hic labor e&longs;t.</s>

<s><emph type="italics"/>Sed rur&longs;us de vorticibus hæc quæ &longs;unt apud Cardanum cap. </s>

<s><emph type="italics"/>Sed rur&longs;us de vorticibus hæc quæ &longs;unt apud Cardanum cap.

<s>6. lib.

6. lib.

1. <lb/>de variet. </s>

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