Valerio, Luca, De centro gravitatis solidorvm libri tres

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1Quoniam enim vt ſupra oſtendimus, reliquum ſolidi AE,
dempto ſolido ABC æquale eſse ſolido XDE, ſimili­
ter oſtenſum remanet, tam reliquum ſolidi AN, dempto
ſolido AHLC, æquale eſse ſolido GDM, quam reli­
quum ſolidi AV dempto ſolido APTC æquale ſolido
QDS; erit demptis æqualibus, tam reliquum ſolidi FE,
dempto ſolido HBL, æquale ſolido XGME; quam
reliquum ſolidi ON, dempto ſolido PHLT æquale ſo­
lido GQSM. At reliquum ſolidi AV dempto ſoli­
do APTC ſolido QDS æquale erit. Manifeſtum eſt
igitur propoſitum.
PROPOSITIO XV.
Hemiſphærium, vel hemiſphæroides ſubſeſqui
alterum eſt cylindri; vel portionis cylindricæ ipſi
circumſcriptæ.
Eſto hemiſphærium, vel hemiſphæroides ABC,
ipſique circumſcriptus cylindrus, vel portio cylindri­
ca AE, circa eundem ſcilicet axem BD, & ſuper can­
dem baſim circulum,
vel ellipſim, circa AC:
nam hac ratione baſis
oppoſita ſolidum ABC
tanget ad verticem B.
Dico hemiſphærium, vel
hemiſphæroides ABC
eſse cylindri, vel portio
nis cylindricæ AE ſub
152[Figure 152]
ſeſquialterum. Nam
circa axem BD, ſuper prædictam baſem circa AC, eſto
deſcriptus conus, vel coni portio ABC. Quoniam igitur

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