Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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cit pondus E, prohibebit. </
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habent prop. 7. lib. 5. el. </
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">Sed E habet eam ad D, quam A C ad B C, ex
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fab. </
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<
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id
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">ergo potentia in B ad pondus D eam rationem habebit, quam
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A C ad B C. </
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<
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id
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">Itaque vt eſt potentia ad pondus ſuſtentum: ita eſt
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pars vectis &c. </
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<
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id
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">Ex quo duo corollaria
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ſtatim eliciuntur.
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<
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">Primum.
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Hypomochlio bifariam diuidente vectem, potentia
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æqualis requiritur: inæqualiter vero inæqualis. </
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<
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id
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">Et quidem ſi pars ab
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hypomochlio ad caput ſit maius ſegmentum, potentia minor: ſi con
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tra pars ab eodem ad lingulam, potentia maior.
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<
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">Secundum.
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Quò pars ab hypomochlio ad lingulam minor erit:
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eò minor potentia ad ſuſtinendum ſufficiet.
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Reciprocatio quid ſit deſumen
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dum eſt ex Eucl. def. 2. lib. 6. vbi reciprocæ figuræ definiuntur cum in
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vtraque figura antecedentes & conſequentes rationum termini fue
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rint, id eſt quando in altera quidem eſt terminus antecedens primæ
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rationis, & conſequens ſecundæ: in altera vero eſt conſequens pri
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mæ, & antecedens ſecundæ. </
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<
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id
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">Quæ vt conuenire huic loco intelligan
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tur, ſumendum eſt pondus mouendum ſimul cum parte vectis ab hy
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pomochlio ad lingulam cui appenditur pro vna figura: & potentia
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mouens cum reliqua parte vectis pro altera figura. </
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<
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id
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">Sicque cum duæ
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rationes fiant, vna ponderis ad potentiam: altera partis cui potentia
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innititur ad partem cui pondus eſt appenſum. </
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<
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">Clarum eſt anteceden
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tes & conſequentes rationum terminos in vtraque figura eſſe. </
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<
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">Et
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ideo figuras eſſe reciprocas.
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<
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id
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">Semper ſane.]
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Hoc exſecundo corollario clarum eſt. </
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<
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">Quo enim
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pars vectis ad lingulam erit minor, eo pars ad caput erit maior. </
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ſic ſi minor potentia ad ſuſtinendum vel dimouendum ſufficiet,
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etiam alia quæuis paulo maior vis tanto facilius ſuſtinebit, aut mo
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uebit pondus: quanto pars ad caput maior erit. </
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<
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">Inæqualium enim
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maior ad eandem maiorem rationem habet prop. 8. lib. 5. </
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>Sed &
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huius rei cauſa adfertur ex his quæ ante demonſtrata ſunt, nempe à
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radio maiore maiorem deſcribi circulum. </
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<
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id
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">Pars enim vectis ab hy
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pomochlio ad caput radij inſtar eſt maioris, qui depreſſus & ideo vo
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lutus circa hypomochlium fixum tanquam
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, deſcribit arcum
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tanto maiorem: quanto ipſe radius maior erat. </
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<
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id
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">Adde igitur & ex
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