Valerio, Luca - De centro gravitatis solidorum

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PROPOSITIO XI.

Omni ſolido circa axim in alteram partem defi
cienti, cuius baſis ſit circulus, vel ellypſis, figura
quædam ex cylindris, vel cylindri portionibus
æqualium altitudinum inſcribi poteft, & altera
circumſcribi, ita vt circumſcripta ſuperet inſcri
ptam minori exceſſu quacumque magnitudine
propoſita.

Sit ſolidum ABC, circa axim AD, in alteram par
tem deficiens, cuius vertex A, baſis autem circulus, vel
ellypſis, cuius diameter BC. Igitur ſuper hanc baſim
circa axim AD,
intelligatur deſeri
ptus cylindrus, vel
cylindri portio
BL, quæ ſolidum
ABC, compre
hendet: ſectoque
cylindro, vel cylin
dri portione BL,
planis baſi paralle

18[Figure 18]
lis in tot cylindros, vel cylindri portiones æqualium al
ritudinum, vt quilibet eorum ſit minor magnitudine
propoſita; eſto ſolidum ABC, ſectum prædictis planis:
erunt autem ſectiones circuli, vel ellypſes fimiles inter
ſe & baſi BC, ſolidi ABC ſuper quas ſectiones tam
quam baſes cylindris, vel cylindri portionibus æqua
lium altitudinum intra, atque extra figuram conſtitutis,
quorum bini inter eadem plana parallela inter ſe refe-

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