Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

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              erunt centra grauitatis ſolidorum, Q ipſius EDF, & Pip­
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              ſius DKM. </s>
              <s>Et quoniam ſolidum DEF ad ſolidum D
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              KM eſt vt cubus ex BD ad cubum ex DL, hoc eſt vt
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              ſolidum EDF ad ſolidum KLM, & vt PR ad
                <expan abbr="Rq;">Rque</expan>
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              erit diuidendo, vt fruſtum EKMF ad ablatum KDM,
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              ita ex contraria parte PQ ad QR: cum igitur ſint
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              centra grauitatis P ſolidi DKM, & Q ſolidi DET;
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              erit reliqui fruſti EKMF centrum grauitatis R: ſed
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              qua ratione in præcedenti conſtat, reliqui ex ſolido AF,
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              dempto ſolido ABC centrum grauitatis eſſe Q, eadem
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              concluditur idem eſſe centrum grauitatis reliqui ex ſolido
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              GF, dempta portione HBN, quod & fruſti EKMF,
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              nempe punctum R: Et quoniam P eſt centrum grauita­
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              tis coni, vel portionis conicæ KDM, crit idem P centrum
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              grauitatis ieliqui ex cylindro, vel portione cylindrica
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              AO dempta portione AHNC. </s>
              <s>Manifeſtnm eſt igitur
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              propoſituro. </s>
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              PROPOSITIO XXVIII.
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              <s>Ijſdem poſitis ſolidis, vt in antecedenti, ſectis­
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              que per duo quælibet puncta axis duplici plano
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              baſi parallelo, reliqui ex cylindro, vel portione
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              cylindrica dictis duobus planis intercepta dem­
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              pta ſphæræ, vel ſphæ roidis portione ipſi inter ea­
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              dem plana reſpondente, centrum grauitatis eſt
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              punctum illud, in quo eius axis ſic diuiditur, vt
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              quæ inter hanc poſtremam ſectionem, & centrum
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              maioris baſis vnà abſciſsæ portionis interijcitur,
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              aſſumens quartam partem ſegmenti, quod prædi­
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              ctæ baſis, & ſphæræ vel ſphæroidis centra iungit, </s>
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