Valerio, Luca, De centro gravitatis solidorvm libri tres

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              <s>
                <pb xlink:href="043/01/243.jpg" pagenum="64"/>
              portione cylindrica abſciſſo, vel abſciſſa vnà cum
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              portione, ex cylindro, vel portione cylindrica,
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              ſphær<17>, vel ſphæroidis circa axim axi portionis
                <expan abbr="cõ">com</expan>
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              gruentem
                <expan abbr="circũſcripta">circunſcripta</expan>
              ; in eo puncto, in quo dimi­
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              dius axis portionis baſim
                <expan abbr="attingẽs">attingens</expan>
              ſic diuiditur, vt
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              pars prima, & ſecunda ſectione terminata, ſit ad
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              totam ſecunda, & poſtrema ſectione terminatam,
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              vt rectangulum contentum axe portionis, & reli­
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              quo ſphæræ, vel ſphæroidis dimidij axis ſegmen­
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              to, vnà cum duabus tertijs quadrati axis portio­
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              nis, ad ſphæræ, vel ſphæroidis dimidij axis axi
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              portionis congruentis quadratum. </s>
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            <p type="main">
              <s>Sit ſphæræ, vel ſphæroidis minor portio ABC, cuius
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              axis BD: & in eo centrum grauitatis F: ſecto autem axe
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              BD primum bifariam
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              in puncto G, & rur
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              ſus BG in puncto
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              H centro grauitatis
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              reliqui dempta por­
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              tione ex cylindro, vel
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              portione cylindrica
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              KL circa axim BD,
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              abſciſſo, vel abſciſ­
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              ſa codem plano cum
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                <figure id="id.043.01.243.1.jpg" xlink:href="043/01/243/1.jpg" number="178"/>
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              portione ABC, & cylindro, vel portione cylindri­
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              ca, quæ circumſcriberetur ſphæræ, vel ſphæroidi, cu­
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              ius eſt portio ABC, circa axim, cuius dimidium BDE.
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              </s>
              <s>Dico GH ad HF, (nam cadet centrum F infra biparti­
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              ti axis BD ſectionem G, ex XXIII huius) eſſe vt rectan­
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              gulum BDE vnà cum duabus tertijs BD quadrati ad
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              quadratum BE. </s>
              <s>Quoniam enim totius ſolidi KL cen-</s>
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          </chap>
        </body>
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    </archimedes>
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