Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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023/01/049.jpg
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diuidendo figura ſolida inſcripta ad dictam exceſſus par
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tem, ut
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ad c
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& quoniam à cono, ſeu coni portione,
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cuius grauitatis centrum eſt e, aufertur figura inſcripta,
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cuius centrum
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reſiduæ magnitudinis compoſitæ cx par
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te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
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continetur, centrum grauitatis erit in linea e protracta,
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atque in puncto t. </
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cõſtat
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ergo
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centrũ
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grauitatis coni, uel coni portionis, eſſe in axe bd: quod de
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monſtrandum propoſuimus.</
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">THEOREMA XI. PROPOSITIO XV.</
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">Cuiuslibet portionis ſphæræ uel ſphæroidis,
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quæ dimidia maior non ſit:
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itemq́;
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cuiuslibet por
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tionis conoidis, uel abſciſſæ plano ad axem recto,
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uel non recto, centrum grauitatis in axe con
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ſiſtit.</
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">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
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ni portione attulimus, ne toties eadem fruſtra iterentur.</
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