Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="023/01/098.jpg"/>
            <p type="main">
              <s id="s.000956">ABSCINDATVR à portione conoidis rectanguli
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              abc alia portio ebf, plano baſi æquidiſtante: & eadem
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              portio ſecetur alio plano per axem; ut ſuperficiei ſectio ſit
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              parabole abc:
                <expan abbr="planorũ">planorum</expan>
              portiones abſcindentium rectæ
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              lincæ ac, ef: axis autem portionis, & ſectionis diameter
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              bd; quam linea ef in puncto g ſecet. </s>
              <s id="s.000957">Dico portionem co­
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              noidis abc ad portionem ebf duplam proportionem ha­
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              bere eius, quæ eſt baſis ac ad baſim ef; uel axis db ad bg
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              axem. </s>
              <s id="s.000958">Intelligantur enim duo coni, ſeu coni portiones
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              abc, ebf,
                <expan abbr="eãdem">eandem</expan>
              baſim, quam portiones conoidis, & æqua
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              lem habentes altitudinem. </s>
              <s id="s.000959">& quoniam abc portio conoi
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              dis ſeſquialtera eſt coni, ſeu portionis coni abc; & portio
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              ebf coni ſeu portionis coni bf eſt ſeſquialtera, quod de­
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                <figure id="id.023.01.098.1.jpg" xlink:href="023/01/098/1.jpg" number="83"/>
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              monſtrauit Archimedes in propoſitionibus 23, & 24 libri
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              de conoidibus, & ſphæroidibus: erit conoidis portio ad
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              conoidis portionem, ut conus ad conum, uel ut coni por­
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              tio ad coni portionem. </s>
              <s id="s.000960">Sed conus, nel coni portio abc ad
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              conum, uel coni portionem ebf compoſitam proportio­
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              nem habet ex proportione baſis ac ad baſim ef, & ex pro­
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              portione altitudinis coni, uel coni portionis abc ad alti­
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              tudinem ipſius ebf, ut nos demonſtrauimus in commen­
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              tariis in undecimam propoſitionem eiuſdem libri Archi­
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              medis: altitudo autem ad altitudinem cſt, ut axis ad axem. </s>
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              <s id="s.000961">quod quidem in conis rectis perſpicuum eſt, in ſcalenis ue </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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