Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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cantherius, qui nequear ſolus trochlearum
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multiplicium ope, maius tormentum belli
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cum trahere? </
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XII
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Vnicus e
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quus facilè
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poteſt mo
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uere ingens
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, quod
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vix poſſent
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plures equi.
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Gal.
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<
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> Ita planè: ſed obſeruandum in fu
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nibus.
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XIII
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Quantum
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funium in
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hac machi
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natione re
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quiratur.
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Merſ.
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<
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> Ne plura: ſatis animum ad hoc
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aduerti. </
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<
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>Monere volebas tantam requiri
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longitudinem funis, qui ſecundas trochleas
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D & C circumplectitur, vt vnicus ex D in
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C ductus æqualis ſit longitudini ſpatij, quod
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potentia in F totum explicans funem, & pon
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dus P ad trochleam A vſque deducens, per
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curreret. </
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<
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>Quarè ſi interuallum trochlearum
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AB ſit paſſuum decem, potentia ex F per
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curreret paſſus 50: funis itaque trochleas D
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& C ambiens longitudinem habeat neceſſę
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eſt paſſuum vt minimum 200; trochleą
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enim D ibi firmanda eſt, quò funis ABF
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explicatus pertingere poſſit. </
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<
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>Eademque dę
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cæteris, ſi plures fuerint trochleæ, ratio eſto. </
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Gal.
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<
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> Non falsâ coniecturâ animum meum
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proſpexiſti. </
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<
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>Sed vt ad rem ipſam propiùs
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accedamus obſeruandum eſt, propoſito quo
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cunque orbiculorum numero, qui tameņ
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per 2, vel 4, vel 6, vel alium quemcunque
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numerum parem diuidi poſsit, longè maius
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eſſe potentiæ momentum, ſi plures trochleæ
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pauciorum orbiculorum, quàm ſi pauciores </
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