Valerio, Luca, De centro gravitatis solidorum, 1604

Table of figures

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              ad cylindrum, vel cylindri portionem NO, eſse vt duo
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              ſolida ad rectangula, alterum ex FH, HG, EH: alterum
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              ex GK, KF, EK, vnà cum binis tertiis duorum cubo­
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              rum ex EK, EH, ad ſolidum rectangulum ex GE,
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              EF KH, axe enim KH producto vt incidat in ſuper­
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              ficiem in punctis F, G, ſit ſphæræ, vel ſphæroidis, ex
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              demonſtratis, axis FK, EHG. </s>
              <s>Intelliganturque vt in
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              antecedenti duo cylindri, vel cylindri portiones NM,
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              LO, totius prædicti ſolidi NO: itemque duæ portiones
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              ſphæræ, vel ſphæroidis ALMD, LBCM, quorum qua­
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              tuor ſolidorum commu
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              nis baſis eſt circulus, vel
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              ellipſis circa LEM.
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              <s>Quoniam igitur vt in
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              antecedenti oſtendere­
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              mus portionem ALM
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              D ad ſolidum NM eſ
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              ſe vt ſolidum ex FH,
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              HG, EH, vnà cum
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              duabus tertiis cubi EH
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              ad ſolidum ex FE, EG,
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              EH, communi altitu­
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              dine EH: ſed vt ſoli­
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              dum ex FE, EG, EH,
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              altitudine EH, ad ſolidum ex FE, EG, KH altitudi­
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              ne KH, ita eſt altitudo EH ad altitudinem KH, hoc
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              eſt ſolidum NM ad ſolidum NO, quippe quorum ſunt
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              axes EH, KH; ex æquali igitur erit vt ſolidum ex FH,
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              HG, EH, vnà cum duabus tertiis cubi EH, ad ſoli­
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              dum ex FE, EG, KH, ita portio ALMD, ad ſoli­
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              dum NO. </s>
              <s>Eadem ratione oſtenderemus eſſe, vt ſolidum
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              ex GK, KF, EK, vnà cum duabus tertiis cubi EK, ad
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              ſolidum ex FE, EG, KH, ita portionem LBCM, ad
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              ſolidum NO; vt igitur prima cum quinta ad ſecundam, </s>
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