DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">ALITER. </
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<
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">Sit libra BAC, cu
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ius centrum A; in pun
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ctis verò BC pondera
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appendantur æqualia G
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F: ſitq; primùm cen
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trum A vtcunque inter
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BC. </
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<
s
id
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">Dico pondus F ad
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pondus G eam in graui
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tate proportionem habere, quam habet diſtantia CA ad diſtan
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tiam AB. </
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<
s
id
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id.2.1.59.4.1.1.0.b
">fiat vt BA ad AC, ita pondus F ad aliud H, quod ap
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pendatur in B: pondera HF ex A æqueponderabunt. </
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>
<
s
id
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">ſed cùm
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note113
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pondera FG ſint æqualia, habebit pondus H ad pondus G ean
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dem proportionem, quam habet ad F. </
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<
s
id
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N126D2
">vt igitur CA ad AB, ita
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note114
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eſt H ad G. </
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<
s
id
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N126D9
">vt autem H ad G, ita eſt grauitas ipſius H ad graui
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lb
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tatem ipſius G; cùm in eodem puncto B ſint appenſa. </
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>
<
s
id
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">quare vt CA
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ad AB, ita grauitas ponderis H ad grauitatem ponderis G. </
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>
<
s
id
="
N126E2
">cùm au
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tem grauitas ponderis F in C appenſi ſit æqualis grauitati ponderis
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H in B; erit grauitas ponderis F ad grauitatem ponderis G, vt CA
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ad AB, videlicet vt diſtantia ad diſtantiam. </
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<
s
id
="
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">quod demonſtrare
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oportebat. </
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6
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Primi Archim. de æquep.
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7
<
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Quinti.
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<
s
id
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">Si verò libra B
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AC ſecetur vtcunq;
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in D, & in DC ap
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pendantur pondera
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æqualia EF. </
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<
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id
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">Dico
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ſimiliter ita eſſe gra
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uitatem ponderis F ad grauitatem ponderis E, vt diſtantia CA ad
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diſtantiam AD. </
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<
s
id
="
id.2.1.61.1.1.1.0.b
">fiat AB æqualis ipſi AD, & in B appendatur
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pondus G æquale ponderi E, & ponderi F. </
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<
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id
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id.2.1.61.1.1.1.0.c
">Quoniam enim AB eſt
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æqualis AD; pondera GE æqueponderabunt. </
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>
<
s
id
="
id.2.1.61.1.1.2.0
">ſed cùm grauitas
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ponderis F ad grauitatem ponderis G ſit, vt CA ad AB, & graui
<
lb
/>
tas ponderis E ſit æqualis grauitati ponderis G; erit grauitas pon
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deris F ad grauitatem ponderis E, vt CA ad AB, hoc eſt vt CA
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ad AD. </
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<
s
id
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N12738
">quod demonſtrare oportebat. </
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