Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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conus EDR. </
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<
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>Sectoque axe BD primo bifariam, deinde
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ſingulis eius partibus rurſus bifariam, tranſeant per pun
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cta ſectionum plana baſi hemiſphærij AC æquidiſtantia,
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quæ ſecent hemiſphærium, conum, & cylindrum. </
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<
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ctus igitur erit AE cylindrus in cylindros æqualium alti
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tudinum: ſuper ſectiones autem coni, atque hemiſphærij
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nempe circulos, quorum centra in axe BD exiſtunt cy
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lindri conſtituti intelligantur binis quibuſque proximis
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æquidiſtantibus planis interiecti, quorum axes omnes
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æquales in BD. </
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<
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>Erit igitur cono EDR inſcripta, & ABC
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hemiſphærio circumſcripta figura quædam ex cylindris
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æqualium altitudinum. </
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>Sint autem hæ figuræ ea ratione
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hæc circumſcripta illa inſcripta, vt circumſcripta excedat
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hemiſphærium, minori exceſsu, inſcripta vero deficiat à
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cono minori defectu quam ſit magnitudo propoſita, quan
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tacumque illa ſit. </
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<
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>His conſtitutis, manifeſtum eſt, reliquo
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cylindri AE dempto hemiſphærio inſcriptam eſse figu
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ram ex reſiduis cylindrorum, in quos cylindrus AE ſe
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ctus fuerit, demptis cylindris hemiſphærio circumſcriptis,
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deficientem à reliquo cylindri AE dempto hemiſphærio
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minori defectu magnitudine propoſita, eodem ſcilicet,
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quo figura hemiſphærio circumſcripta excedit hemiſphæ
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rium, excepto reſiduo cylindri infimi AS, dempta he
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miſphærij portione, quam comprehendit. </
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<
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