DelMonte, Guidubaldo
,
Mechanicorvm Liber
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ſtente fune BC EFG hoc modo orbiculo circumuoluto, ac ſi duo
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eſſent funes BC FG alligati in vecte, ſiue libra CF. </
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1
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Huius. de libra.
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8
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Vndecimi.
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18
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Tertii.
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Ex
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28
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Primi.
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Primi. Archim. de æquepond.
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">Ex hoc manifeſtum eſſe poteſt, idem pon
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dus ab eadem potentia abſq; ullo huius tro
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chleæ auxilio nihilominus ſuſtineri poſſe. </
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">Sit enim pondus H æquale
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ponderi A, cui alligatus ſit funis
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kL; ſitq; potentia in L ſuſtinens
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pondus H. </
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abſq; vllo adminiculo ſuſtinere
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volentes tanta vi opus ſit, quanta
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ponderi eſt æqualis; erit potentia
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in L ponderi H æqualis; pondus
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verò H ipſi ponderi A eſt æquale,
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cui potentia in G eſt æqualis; erit
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igitur potentia in G potentiæ in L
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æqualis. </
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<
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">quod idem eſt, ac ſi
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eadẽ
">eadem</
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potentia idem pondus ſuſtineret.
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">Præterea ſi potentiæ in G, &
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in L inuicem fuerint æquales, ſeor
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ſum autem ponderibus minores;
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patet potentias ponderibus ſuſti
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nendis non ſufficere. </
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<
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">ſi verò maiores, manifeſtum eſt pondera à
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pontentiis moueri. </
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">& ſic in eadem eſſe proportione potentiam in
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L. ad pondus H, veluti potentia in G ad pondus A. </
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<
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">Sed quoniam in demonſtratione aſſumptum fuit axiculum cir
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cumuerti, qui vt plurimum immobilis manet; idcirco immobili
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quoq; manente axiculo idem oſtendatur. </
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