Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

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              ſunt omnia in axe AG, centrum L cadet infra
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              centrum H, ex ijs, quæ in primo libro demonſtraui­
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              mus. </s>
              <s>Dico eſſe KL ad LH vt cubum ex AG ad cu­
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              bum ex AF. </s>
              <s>Quoniam enim
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              ob centra grauitatis
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              K
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              , H, L,
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              eſt vt fruſtum DC ad ſolidum
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              ADE, ita ex contraria parte
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              KH ad HL; erit componen­
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              do, vt ſolidum ABC ad ſoli­
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              dum ADE, ita KL ad LH:
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              ſed vt
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              ABC ad ſolidum
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              ADE, ita eſt cubus ex AG
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              ad cubum ex AF: triplieata
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              enim eſt vtraque proportio eiuſ­
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              dem, quæ eſt ipſius AG ad ip­
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              ſam AF, propter ſimilitudi­
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              nem ſolidorum; vt igitur eſt cu
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              bus ex AG ad cubum ex AF,
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              ita erit KL ad LH. </s>
              <s>Quod demonſtrandum erat. </s>
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              PROPOSITIO XXVI.
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              <s>Reſidui ſolidi ex cylindro, vel portione cylin­
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              drica hemiſphærio, vel hemiſphæroidi circum­
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              ſcripta, dempto hemiſphærio, vel hemiſphæroide,
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              centrum grauitatis eſt punctum illud, in quo axis
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              ſic diuiditur, vt pars baſim attingens hemiſphæ­
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              rij, vel hemiſphæroidis ſit tripla reliquæ. </s>
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              <s>Eſto hemiſphærio, vel hemſphæroidi ABC, cuius axis
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              BD, circumſcriptus cylindrus, vel portio cylindrica AF:
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              & ponatur D
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              K
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              ipſius
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              K
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              B tripla. </s>
              <s>Dico reliqui ex ſoli-</s>
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