Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

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              portionis: eſto ea cuius diameter KL, iungensque recta
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              DE ſphæræ, vel ſphæroidis, & baſis portionis centra DE,
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              atque producta incidat in ſphæræ, vel ſphæroidis ſuperfi­
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              ciem ad partes E in puncto F, & ad partes oppoſitas in
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              puncto B: ſphæræ igitur, vel ſphæroidis axis axi portionis
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              BE congruens crit BDEF, nam vertex portionis erit B:
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              & hemiſphærio, vel hemiſphæroidi KBL ſit circumſcri­
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              ptas cylindrus, vel cylindrica portio KH, cuius ſcilicet
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              axis BD, & circa axim DE, alter cylindrus, vel portio
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              cylindrica GL portioni KACL circumſcripta: quorum
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              circumſcriptorum ſolido­
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              rum vtriulque communis
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              baſis erit circulus, vel
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              ellipſis circa KL. </s>
              <s>Ita­
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              que ex his compoſitus to­
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              tus cylindrus, vel cylin­
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              dri portio GH erit por­
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              tioni ABC circumſcri­
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              pta, habens axim BE, at­
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              que ideo eandem altitu­
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              dinem ABC portioni,
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              baſim autem, cuius dia­
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              meter ſit GM ſimilem
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                <figure id="id.043.01.215.1.jpg" xlink:href="043/01/215/1.jpg" number="159"/>
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              & æqualem ei, quæ eſt circa KL. </s>
              <s>Dico portionem ABC
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              ad cylindrum, vel portionem cylindricam GH, eſse vt ſo­
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              lidum rectangulum contentum ipſis BE, EF, ED, vnà
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              cum binis tertiis duorum cuborum, duabus ſcilicet cubi
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              BD, & totidem cubi ED, ad ſolidum rectangulum con­
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              tentum ipſis EB, BD, DF. </s>
              <s>Quoniam enim parall ele­
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              pipeda eiuſdem altitudinis inter ſe ſunt vt baſes, erit vt re­
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              ctangulum BEF vnà cum duabus tertiis ED quadrati ad
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              rectangulum BDF, ideſt ad quadratum BD, ſiue DF,
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              ita ſolidum ex BE, EF, ED, communi altitudine DE,
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              vnà cum duabus tertiis cubi ED, ad ſolidum ex DE, </s>
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