Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ſit magnitudo propoſita,. His ita ex poſitis, quoniam ex
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præcedenti, reliquum cylindri, vel portionis cylindricæ
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FE dempto cylindro, vel portione cylindrica KQ, æ
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quale eſt cylindro, vel portioni cylindricæ GP: eadem
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que ratione ſingula cylindrorum, vel cylindri portionum
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reſidua, quæ ſunt in reliqua figura cylindri, vel portionis
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cylindricæ AE, dempto hemiſphærio, vel hemiſphæroi
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de ABC, æqualia erunt ſingulis cylindris, vel cylindri
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portionibus, quæ ſunt in cono, vel portione conica RDE,
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ſi bina ſumantur inter eadem plana parallela, vel circa
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eundem axem; tota igitur figura inſcripta prædicto reſiduo,
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toti figuræ inſcriptæ cono, vel portioni conicæ RDE æ
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qualis erit: deficit autem vtraque figura inſcripta à ſibi
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circumſcripta minori ſpacio quantacumque magnitudine
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propoſita; per tertiam igitur huius, reliquum cylindri, vel
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portionis cylindricæ AE, dempto hemiſphærin, vel he
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miſphæroide ABC, æquale eſt cono, vel portioni coni
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cæ RDE, hoc eſt ipſi ABC. </
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PROPOSITIO XIV.
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<
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>Si hemiſphærium, vel hemiſphæroides, & cylin
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drus, vel portio cylindrica ipſi circumſcripta, &
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conus, vel coni portio, cuius eſt
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axis portioni,
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baſis autem qu<17> opponitur communi baſi duorum
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prædictorum ſolidorum, vnà ſecentur duobus
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planis baſi parallelis; portiones reliquæ figuræ
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ex cylindro, vel cylindri portione hemiſphærio,
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vel hemiſphæroidi circumſcripta dempto hemi
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ſphærio, vel hemiſphæroide, quæ à duobus præ
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dictis planis ſecantibus fiunt, æquales ſunt ſin</
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