Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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rectam. </
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">Radius deſcribens circulum duabus ſuis lationibus, non
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fertur ſecundum rectam. </
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<
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">Radij igitur lationes in nulla ſunt ra
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tione. </
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<
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">Propoſitio confirmatur cum ſequenti diagrammate.
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<
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">Eſto rectangulum
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com
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prehenſum ſub rectis
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quæ ſint inter ſe in ratione, quam
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duæ lationes ipſius
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habent.
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<
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perueniſſe ad
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& verſus
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perueniſſe ad
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:
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ſicque cum
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lationum ipſius
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ratio ſit vt
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ad
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ergo erit &
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ad
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:
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vt
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ad
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<
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& rectrangulum minus
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com
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munem angulum
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cum maiori
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habens & ſimile erit
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def. 1. lib. 6. & proinde circa eandem dimentientem conuerſ. prop.
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24. lib. 6. </
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Et ſic
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duabus ſuis ſic lationibus latum erit in
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vt vbi
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cumque lationes ipſius
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ſiſtentur, ſemper ſint ſupra diametrum
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ſiquidem lationes iſtæ ſunt in ratione
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ad
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proinde
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ſupra rectam, quia omnis diameter rectanguli recta eſt. </
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ſentit quod à Proclo ex Gemino acceptum ſic expoſitum eſt. </
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drangulum duoſque motus qui æquali celeritate fiant, alterum qui
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dem per longitudinem: alterum vero per latitudinem intellexeris
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dimetiens producetur recta exiſtens linea, lib. 2. comm. in def. rectæ
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lineæ. </
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<
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">Nunc igitur ponatur
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extremum radij duabus lationibus
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deſcribere circulum non digrediens à recta producere rectam, quod
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eſt contra naturam circuli. </
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<
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">Non igitur duæ lationes ipſius
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ferun
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tur in ratione
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ad
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<
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Sed hîc obiici poteſt quod Sol motu pri
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mi mobilis mouetur ab Oriente in Occidentem in 24. horis, & motu
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proprio ab Occidente in Orientem in aliquo tempore quantum eſt
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quod reſpondet æquatori coaſcendenti cum 59'. 8". Eclypticæ. </
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<
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eius duæ lationes ſunt in ratione aliqua, nec tamen Sol fertur ſecun
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dum rectam ſed
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ſecundũ
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arcum Eclypticæ. </
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<
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">Ita eſt, ob id
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dicendũ
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hic
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dictas ab Ariſtotele duæ lationes non ſimpliciter
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intelligẽdas
">intelligendas</
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: ſed ta
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les, quæ
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ferãtur
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ambæ
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rectam. </
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<
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<
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id eſt ratione, redundat quia quæ
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ſimilia ſunt quadrangula, habent latera, quæ circum æquales angu
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los propertionalia, ex def. 1. lib. 6. elem.
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