DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Sit vectis AB, cuius fulcimentum B; & ex puncto A ſit pon
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dus C ſuſpenſum; ſitq; potentia in D ſuſtinens pondus C. </
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<
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">Dico
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vt AB ad BD, ita eſſe potentiam in D ad pondus C. </
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<
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">Produca
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tur AB in E, fiatq; BE æqualis ipſi BA; & ex puncto E appen
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datur pondus F æquale ponderi C; & vt BD ad BE, ita fiat pon
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dus F ad aliud G, quod ex puncto D ſuſpendatur. </
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<
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">pondera FG
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æqueponderabunt. </
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">& quoniam AB eſt æqualis BE, & pondera
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FC æqualia; ſimiliter pondera FC æqueponderabunt. </
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<
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">Pondera
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verò FGC ſuſpenſa in vecte EBA, cuius fulcimentum eſt B, non
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æqueponderabunt; ſed ex parte A deorſum tendent. </
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<
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">Ponatur igi
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tur in D tanta vis, vt pondera FGC æqueponderent; erit po
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tentia in D æqualis ponderi G: pondera enim FC æqueponde
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rant, & potentia in D nil aliud efficere debet, niſi ſuſtinere pon
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dus G ne deſcendat. </
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<
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id
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">& quoniam pondera FGC, & potentia in
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D æqueponderant, demptis igitur FG ponderibus, quæ æquepon
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derant; reliqua æqueponderabunt, ſcilicet potentia in D ponderi C.
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</
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<
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">hoc eſt potentia in D pondus C ſuſtinebit, ita vt vectis AB ma
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neat, vt prius. </
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">& cùm potentia in D ſit æqualis ponderi G, & pon
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dus C æquale ponderi F; habebit potentia in D ad pondus C ean
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dem proportionem, quam EB, hoc eſt AB ad BD. </
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<
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">quod de
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monſtrare oportebat. </
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<
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">COROLLARIVM I. </
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<
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">Ex hoc etiam pàtet, vt prius, ſi coftituatur pon
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dus fulcimento B propius, vt in H; à minori po
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tentia pondus ipſum ſubſtineri debere. </
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