Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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pendet ab habitu principiorum, loco illorum nititur conclu
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ſionibus demonſtratis in ſuperiori ſcientia. </
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<
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">Et hac ratione
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nihil demonſtratur in Perſpectiua, quod
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nõ
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inferatur ex con
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cluſionibus Geometriæ cui ipſa ſubordinatur;
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abbr
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nihilq.
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in Mu
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ſica, quod non nitatur concluſionibus ac principijs Arithme
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ticæ cui ſimiliter ipſa ſubalternatur. </
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<
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">Secundum requiſitum eſt, vt idem ſit obiectum ſubalter
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natæ, ac ſubalternantis ſecundum aliquam rationem forma
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lem. </
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<
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">Quandoquidem ſi ſubiecta eſſent eſſentialiter diuerſa
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ſecundum formalitatem qua cadunt ſub ſcientiam, non dare
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tur tranſitus à ſcientia ſubalternata ad
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ſubalternantẽ
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, vt do
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cet Ariſtoteles; hoc eſt accipiendo ex illa propria principia
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ac media ad probandum ſuas concluſiones; quia tam paſſio
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nes demonſtrandæ de ſubiecto, quàm principia quæ ſunt
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cauſæ intrinſecæ ipſarum
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paſſionũ
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, debent eſſe maximè pro
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pria & connexa cum ipſo ſubiecto: nihil autem poteſt eſſe
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maximè proprium duobus ſubiectis eſſentialiter diuerſis; ac
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proinde ex connexione cum principijs vnius, inferri non po
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teſt connexio alterius ad conficiendas demonſtrationes. </
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<
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">Ea
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dem ergo eſſentialiter debent eſſe ſubiecta ſubalternantis, ac
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ſubalternatæ, ſaltem ſecundum aliquam rationem formalem,
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quamuis alia ratione differant inter ſe. </
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<
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id
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">Semper enim ratio
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illa formalis ſub qua agitur de aliquo in ſcientia, vniuerſaliori
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ac ſimpliciori modo conſideratur in ſubalternante, quàm in
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ſubalternata, in qua ſemper contrahitur ab aliqua differentia
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accidentali ſuperaddita, vt conſtat in Muſica reſpectu Arith
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meticæ, & in Perſpectiua reſpectu Geometriæ. </
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">Siquidem in
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Arithmetica ſimpliciter conſideratur numerus ſecundum ſe,
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in Muſica vero conſideratur numerus in ſono. </
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abbr
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Similiterq.
">Similiterque</
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in
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Geometria ſolum conſiderantur lineæ, in Perſpectiua vero
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conſiderantur in viſu, quæ differentiæ putantur accidentales;
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nam vt docet Ariſtoteles locis citatis, & 13 metaph. </
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<
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id
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">ſum. 1.
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cap. 3. Muſica & Perſpectiua non verſantur formaliter circa
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ſonum & viſum ſed circa numerum & lineam de quibus agi
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tur abſolutè in Arithmetica, & Geometria. </
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<
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">Quibus poſitis, dicendum eſt, Mechanicam
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ab</
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