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