Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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Ergo qui in medio eſt inter remiges plus promouet nauim.
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<
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">An quia remus.]
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Prior pars propoſitionis præcedentis ſyllogiſ
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mi primo loco illuſtratur, ſic
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Quantò maior eſt vectis pars ab hypomochlio ad caput, tantò
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vis mouens facilius & plus mouet, quia ibi maior eſt radius.
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">Hoc ita eſſe patuit ex cap. præced. libri huius.
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Sed pars remi à Scalmo ad manubrium eſt pars vectis ab
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hypomochlio ad caput. </
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">Nam remus eſt vectis. per def. &
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ſcalmus eſt hypomochlium. </
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mobile mare, & vectem mouens, Remex.
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Ergo is plus & facilius nauim promouebit, cuius remi pars à
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ſcalmo ad manubrium maior erit.
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<
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">In nauis medio.]
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Aſſumptio eſt primarij ſyllogiſmi confir
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mata ex forma nauis quæ in ſui medio latior eſt & depreßior: in
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prora autem & puppi arctior, & ſublimior. </
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">Ergo ſuppoſito quod re
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mi omnium
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remigũ
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ſint æquales, ex his, qui ſcalmis proræ & puppis
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ſunt alligati, partem extra
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nauẽ
">nauem</
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longiorem habent, alias
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eorũ
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palmu
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la non diuideret aquam, & intra nauem minorem: contra omnia in
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his qui ſcalmis mediorum laterum nauis alligantur. </
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<
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diagrammate qualicunque intelligi poteſt. </
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">In quo C eſto prora, D
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puppis, G ſcalmus ad proram, T ſcalmus ad puppim, H ſcalmus
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ad medium: vbi nauis latior & depreßior eſt, ob id magis diſtans à
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recta A B, vtpote chorda arcus A G H T B, quæ deſignes
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loca tranſtrorum & quæ à remis partes auferat æquales & partes
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inæquales relinquat K G, M H, O T & quidem M H ma
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iorem. </
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>( quod nos ſequenti theoremate demonſtrabimus ) igitur erit
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totum ex M H, & adempto maius quam quod ex K G &
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adempto, velex O T & adempto per ax. 5.
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Si chorda rectas in circulo inſcriptas ad rectos ſe
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cet: ſectarum pars, quæ de diametro abſcinditur, eſt maxima, reli
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quarum quæ diametro propinquior remotiore maior eſt. </
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lus A D B E, in quo rectam A B diametrum ſecet chorda D
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E ad rectos vt & K I, L H: & ſint ſegmenta C B, è dia
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metro: F I è propinquiore: G H è remotiore. </
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">Dico C B eſſe
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maiorem quam F I: & F I quam G H. </
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<
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trum circuli repertum prop. 1. lib. 3. ducatur parallela M N O P
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