Valerio, Luca - De centro gravitatis solidorum

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1conus EDR. Sectoque axe BD primo bifariam, deinde
ſingulis eius partibus rurſus bifariam, tranſeant per pun
cta ſectionum plana baſi hemiſphærij AC æquidiſtantia,
quæ ſecent hemiſphærium, conum, & cylindrum. Se
ctus igitur erit AE cylindrus in cylindros æqualium alti
tudinum: ſuper ſectiones autem coni, atque hemiſphærij
nempe circulos, quorum centra in axe BD exiſtunt cy
lindri conſtituti intelligantur binis quibuſque proximis
æquidiſtantibus planis interiecti, quorum axes omnes
æquales in BD. Erit igitur cono EDR inſcripta, & ABC

78[Figure 78]
hemiſphærio circumſcripta figura quædam ex cylindris
æqualium altitudinum. Sint autem hæ figuræ ea ratione
hæc circumſcripta illa inſcripta, vt circumſcripta excedat
hemiſphærium, minori exceſsu, inſcripta vero deficiat à
cono minori defectu quam ſit magnitudo propoſita, quan
tacumque illa ſit. His conſtitutis, manifeſtum eſt, reliquo
cylindri AE dempto hemiſphærio inſcriptam eſse figu
ram ex reſiduis cylindrorum, in quos cylindrus AE ſe
ctus fuerit, demptis cylindris hemiſphærio circumſcriptis,
deficientem à reliquo cylindri AE dempto hemiſphærio
minori defectu magnitudine propoſita, eodem ſcilicet,
quo figura hemiſphærio circumſcripta excedit hemiſphæ
rium, excepto reſiduo cylindri infimi AS, dempta he
miſphærij portione, quam comprehendit. Sit autem om-

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