Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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[Figure 151]
Page: 208
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FED. COMMANDINI
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tionem cadet: </
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">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: </
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<
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xml:space
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">& </
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<
s
xml:id
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">ſit l e ad e p, ut figura inſcripta ad portiones reli
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quas: </
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<
s
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xml:space
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">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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<
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">quod fieri nequit. </
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<
s
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xml:space
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">ergo linea p e minor eſt ip ſa g li-
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nea propoſita.</
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<
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<
s
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xml:space
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">Ex quibus perſpicuum eſt centrum grauitatis
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figuræ inſcriptæ, & </
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<
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xml:space
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">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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<
s
xml:id
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xml:space
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">fiatq́ figu
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ra inſcripta maior, & </
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<
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">circumſcripta minor. </
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">& </
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<
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quanquam continenter ad portionis centrū 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, nó
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ſolum portioni, ſed etiam circumſcriptæ figuræ
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æqualem eſſe. </
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<
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">quod eſt abſurdum.</
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<
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<
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style
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portionis conoidis rectangu-
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li axis à cẽtro 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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">SIT portio conoidis rectanguli uel abſciſſa plano ad
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axem recto, uel non recto: </
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<
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<
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xml:space
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">ſecta ipſa altero plano per axé
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ſit ſuperſiciei ſe ctio a b c r ectanguli coni ſectio, uel parabo
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le; </
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<
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</
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<
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">axis portionis, & </
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<
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">ſectionis diameter b d. </
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<
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">Sumatur autem
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in linea b d punctum e, ita ut b e ſit ipſius e d dupla. </
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