Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of handwritten notes

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            <s xml:id="echoid-s4485" xml:space="preserve">
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            fruſtum a d. </s>
            <s xml:id="echoid-s4486" xml:space="preserve">Sed pyramis q æqualis eſt fruſto à pyramide
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            abſciſſo, ut dem onſtrauimus. </s>
            <s xml:id="echoid-s4487" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s4488" xml:space="preserve">conus, uel coni por-
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            tio q, cuius baſis ex tribus circulis, uel ellipſibus a b, e f, c d
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            conſtat, & </s>
            <s xml:id="echoid-s4489" xml:space="preserve">altitudo eadem, quæ fruſti: </s>
            <s xml:id="echoid-s4490" xml:space="preserve">ipſi fruſto a d eſt æ-
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            qualis. </s>
            <s xml:id="echoid-s4491" xml:space="preserve">atque illud eſt, quod demonſtrare oportebat.</s>
            <s xml:id="echoid-s4492" xml:space="preserve"/>
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        <div xml:id="echoid-div268" type="section" level="1" n="91">
          <head xml:id="echoid-head98" xml:space="preserve">THEOREMA XXI. PROPOSITIO XXVI.</head>
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            <s xml:id="echoid-s4493" xml:space="preserve">
              <emph style="sc">Cvivslibet</emph>
            fruſti à pyramide, uel cono,
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            uel coni portione abſcisſi, centrum grauitatis eſt
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            in axe, ita ut eo primum in duas portiones diui-
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            ſo, portio ſuperior, quæ minorem baſim attingit
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            ad portionem reliquam eam habeat proportio-
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            nem, quam duplum lateris, uel diametri maioris
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            baſis, vnà cum latere, uel diametro minoris, ipſi
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            reſpondente, habet ad duplum lateris, uel diame-
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            tri minoris baſis vnà cũ latere, uel diametro ma-
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            ioris: </s>
            <s xml:id="echoid-s4494" xml:space="preserve">deinde à puncto diuiſionis quarta parte ſu
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            perioris portionis in ipſa ſumpta: </s>
            <s xml:id="echoid-s4495" xml:space="preserve">& </s>
            <s xml:id="echoid-s4496" xml:space="preserve">rurſus ab in-
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            ferioris portionis termino, qui eſt ad baſim maio
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            rem, ſumpta quarta parte totius axis: </s>
            <s xml:id="echoid-s4497" xml:space="preserve">centrum ſit
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            in linea, quæ his finibus continetur, atque in eo li
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            neæ puncto, quo ſic diuiditur, ut tota linea ad par
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            tem propinquiorem minori baſi, eãdem propor-
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            tionem habeat, quam fruſtum ad pyramidẽ, uel
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            conum, uel coni portionem, cuius baſis ſit ea-
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            dem, quæ baſis maior, & </s>
            <s xml:id="echoid-s4498" xml:space="preserve">altitudo fruſti altitudini
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            æqualis.</s>
            <s xml:id="echoid-s4499" xml:space="preserve"/>
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