DelMonte, Guidubaldo
,
Mechanicorvm Liber
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& ideo maior quoq; erit proportio ponderis D ad pondus G,
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quàm idem D ad E: pondus igitur G minus erit pondere E. cùm
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autem potentia in B ipſi G æqualis ponderi D æqueponderet, mi
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nor potentia, quàm ea, quæ ponderi E eſt æqualis, pondus D ſu
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ſtinebit; exiſtente vecte AB, eius verò fulcimento vbi F, quàm ſi
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fuerit vbi C. ſimiliter quoq; oſtendetur, quò propius erit fulci
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mentum ponderi D, adhuc ſemper minorem requiri potentiam
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ad ſuſtinendum pondus D. </
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Ex eadem Sexta.
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Lemma.
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10
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Quinti.
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FB minore, minorem quoq; requiri potentiam
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in ipſo B pondere D ſuſtinendo. </
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<
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æqualem. </
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<
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fulcimentum ſit B, &
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pondus C vtcunq; in
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D inter AB appen
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ſum; ſitq; potentia in
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A ſuſtinens pondus C. </
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Dico vt BD ad BA,
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ita eſſe potentiam in A ad pondus C. </
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E æquale ipſi C; & vt AB ad BD, ita fiat pondus E ad aliud F.
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ad pondus F, vt AB ad BD. </
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<
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<
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uitatem
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ipſius F; & pondus E ad F eſt, vt AB ad BD; vt igitur
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grauitas ponderis E ad grauitatem ponderis F, ita eſt AB ab BD.
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