Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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Sed & ſi perficiantur parallelogramma
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:
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illud erit vtile ad oſtendendum
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tralatum vno motu vſque ad
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altero motu, quo retrahitur ad centrum, reductum eſſe ad
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:
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&
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huius retractiones
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menſurã
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eſſe
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vel
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:
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hoc vero vtile
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etiã
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erit
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ad terminandos motus illos duos
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abbr
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naturalẽ
">naturalem</
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, ſcilicet & præter
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naturã
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.
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">Atque alterolongum.]
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Hoc
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quadrilaterũ
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<
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oblongũ
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, & rectan
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gulum compleri debuiſſe dici poteſt, vt rectus in eo motus appareat,
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quem facturus radius fuiſſet, niſi retraheretur in centrum: tum vt
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terminet motus eos, qui ſunt ſecundum naturam & præter naturam.
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<
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]
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Punctũ
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vbi libet in peripheria accipitur ad deſignandum
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quoduis
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ſpatiũ
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, quod confecerit
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<
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abbr
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extremũ
">extremum</
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mobile minoris radij
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<
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<
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id
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">Et
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excitetur.]
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A puncto
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extra lineam
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dato ex
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citatur in ipſam perpendicularis, quæ eſt
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prop. 12. lib. 1. elem.
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]
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Per punctum
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datum datæ rectæ
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duci
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tur parallela prop. 31. lib. 1. elem.
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<
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">Et
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perpend.]
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prop. 12. lib. 1. elem.
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&]
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Quia
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parallela eſt ipſi
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ex fabrica:
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tùm
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etiam parallela eſt ipſi
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quia in eas incidens
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facit an
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gulos internos ad
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eaſdẽ
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>
partes rectos, ex fab. proinde æquales ax. 10.
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<
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itaq;
">itaque</
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parallelæ prop. 28. lib. 1. </
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<
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parallelogrãmũ
">parallelogramum</
expan
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erit
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per def. pa
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rall. </
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>
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">quare eius latera oppoſita
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<
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erũt
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æqualia prop. 34. lib. 1.
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<
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Ex hoc loco elicitur hoc theorema. </
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res à peripheriis in ſemidiametros circulorum inæqualium æquales
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ſegmenta auferunt de ſemidiametris inæqualia, & quidem maius in
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minori comprehenſum inter peripheriam & perpendicularem.
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ſitio. </
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Sunto
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duo cir
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culi in
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æqua
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les A
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B C ma
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ior &
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D E F
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minor, perpendiculares ſint B K, E I & ablatæ A K, D I.
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