Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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tionem cadet: Itaque cum à portione conoidis, cuius gra
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uitatis centrum e auferatur inſcripta figura, centrum ha
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bens p: & ſit le ad ep, ut figura inſcripta ad portiones reli
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quas: erit magnitudinis, quæ ex reliquis portionibus con
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ſtat, centrum grauitatis punctum l, extra portionem ca
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dens. </
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">ergo linea pe minor eſt ipſa g li
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nea propoſita.</
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<
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">Ex quibus perſpicuum eſt centrum grauitatis
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figuræ inſcriptæ, & circumſcriptæ eo magis acce
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dere ad portionis centrum, quo pluribus cylin
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dris, uel cylindri portionibus conſtet:
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fiatq́
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; figu
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ra inſcripta maior, & circumſcripta minor. </
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quanquam continenter ad portionis
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centrũ
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pro
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pius admoueatur: nunquam tamen ad ipſum per
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ueniet. </
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<
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">ſequeretur enim figuram inſcriptam,
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nõ
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ſolum portioni, ſed etiam circumſcriptæ figuræ
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æqualem eſſe. </
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<
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">THEOREMA XXIII. PROPOSITIO XXIX.</
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">CVIVSLIBET portionis conoidis rectangu
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li axis à
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cẽtro
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grauitatis ita diuiditur, ut pars quæ
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terminatur ad uerticem, reliquæ partis, quæ ad ba
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ſim ſit dupla.</
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<
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id
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">SIT portio conoidis rectanguli uel abſciſſa plano ad
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axem recto, uel non recto: & ſecta ipſa altero plano per
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abbr
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axẽ
">axem</
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ſit ſuperficiei ſectio abc rectanguli coni ſectio, uel parabo
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le; plani abſcindentis portionem ſectio ſit recta linea ac:
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axis portionis, & ſectionis diameter bd. </
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">Sumatur autem
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in linea bd punctum e, ita ut be ſit ipſius ed dupla. </
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<
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