DelMonte, Guidubaldo
,
Mechanicorvm Liber
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ponderis C: quare gra
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uitas ponderis E ad
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grauitatem ponderis
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F ita erit, vt grauitas
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ponderis E ad gra
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uitatem ponderis C. </
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Pondera igitur CF
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eandem habent grauitatem. </
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">Ponatur itaq; potentia in A ſuſtinens
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pondus F; erit potentia in A æqualis ipſi ponderi F. </
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">& quoniam
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pondus F in A appenſum æquè graue eſt, vt pondus C in D ap
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penſum; eandem proportionem habebit potentia in A ad grauita
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tem ponderis F in A appenſi, quam habet ad grauitatem ponde
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ris C in D appenſi. </
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">Potentia verò in A ipſi F æqualis ſuſtinet
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pondus F, ergo potentia in A pondus quoq; C ſuſtinebit. </
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cùm potentia in A ſit æqualis ponderi F, & pondus C ad pon
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dus F ſit, vt AB ad BD; erit pondus C ad potentiam in A, vt
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AB ad BD. </
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">& è conuerſo, vt BD ad BA, ita potentia in A ad
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pondus C. </
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<
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">potentia ergo ad pondus ita erit, vt diſtantia fulci
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mento, ac ponderis ſuſpenſioni intercepta ad diſtantiam à fulci
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mento ad potentiam. </
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<
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In ſexta huius de libra Ex
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11
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quinti.
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6
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Huius. de libra.
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Ex
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9
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quinti.
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Ex
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7
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quinti.
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Cor.
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4
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quinti.
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<
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<
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">Sit vectis AB, cuius fulcimentum ſit B, & pondus E ex puncto
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C ſuſpenſum; ſitq; vis in A ſuſtinens pondus E. </
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<
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">Dico vt BC ad BA,
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ita eſſe potentiam in A ad pondus E. </
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<
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">Producatur AB in C, &
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fiat BD æqualis BC; & ex puncto D appendatur pondus F æqua
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le ponderi E; itemq; ex puncto A ſuſpendatur pondus G ita, vt
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pondus F ad pondus G eandem habeat proportionem, quam AB </
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