Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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gulæ ſingulis prædicti coni, vel conicæ portionis
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partibus ſiue fruſtis inter eadem plana parallela
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reſpondentibus. </
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<
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>Eſto hemiſphærium, vel hemiſphæroides ABC, cu
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ius axis BD, baſis circulus, vel ellipſis, cuius diame
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ter ADC. ſolido autem ABC circumſcriptus cylindrus,
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vel portio cylindrica AXEC: & conus, vel coni portio
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ſit XDE, cuius vertex D, baſis circulus, vel ellipſis cir
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ca XBE baſi ſolidi AE, vel ABC, prædictæ oppoſita,
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ſecto autem ſolido AE, atque vnà cum ipſo eius partibus,
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ſolidis ABC, XD
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E, duobus planis ba
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ſi ſolidi AE, vel
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ABC, atque ideo
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inter ſe quoque pa
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rallelis, intelligan
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tur trium ſolidorum
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portiones ternæ in
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ter eadem plana pa
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rallela: videlicet in
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ter duo per XE,
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FN, hemiſphærij, vel hemiſphæroidis minor portio HBL:
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& reliquum cylindri, vel portionis cylindricæ FE dem
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pta portione HBL: & coni, vel conicæ portionis fruſtum
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XGME. ſimiliter inter duo plana per FN, OV ſolidi
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ABC portio PHLT, eaque ablata reliquum ſolidi ON,
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& fruſtum GQSM. </
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<
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>Denique ſolidi ABC portio AP
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TC, eaque ablata, reliquum ſolidi AV, & conus, vel
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coni portio QDS. </
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<
s
>Dico reliquum ſolidi FE, dempto
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HBL eſſe æquale fruſto XGME: & reliquum ſolidi ON
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dempto PHLT, æquale fruſto GQSM: & reliquum
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ſolidi AV dempto ſolido APTC æquale ſolido QDS. </
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