Valerio, Luca, De centro gravitatis solidorvm libri tres

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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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