Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
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            At cum e f ſit ſexta pars axis
              <lb/>
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            ſphæræ, crit d e tripla e f. </s>
            <s xml:space="preserve">ergo
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            punctum e eſt grauitatis cen-
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            trum ipſius pyramidis: </s>
            <s xml:space="preserve">quod
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            in uigeſima ſecunda huius de-
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            monſtratum fuit. </s>
            <s xml:space="preserve">Sed e eſt cen
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            trum ſphæræ. </s>
            <s xml:space="preserve">Sequitur igitur,
              <lb/>
            ut centrum grauitatis pyrami-
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            dis in ſphæra deſcriptæ idem
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            ſit, quod ipſius ſphæræ cen-
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            trum.</s>
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            <figure xlink:label="fig-0188-01" xlink:href="fig-0188-01a">
              <image file="0188-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0188-01"/>
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          <p>
            <s xml:space="preserve">Sit cubus in ſphæra deſcriptus a b, & </s>
            <s xml:space="preserve">oppoſitorum pla-
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            norum lateribus bifariam diuiſis, per puncta diuiſionum
              <lb/>
            plana ducantur, ut communis ipſorum ſectio ſit recta li-
              <lb/>
            nea c d. </s>
            <s xml:space="preserve">Itaque ſi ducatur a b, ſolidi ſcilicet diameter, lineæ
              <lb/>
            a b, c d ex trigeſimanona undecimi ſeſe bifariam ſecabunt.
              <lb/>
            </s>
            <s xml:space="preserve">ſecent autem in puncto e. </s>
            <s xml:space="preserve">erit
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              <anchor type="figure" xlink:label="fig-0188-02a" xlink:href="fig-0188-02"/>
            e centrũ grauitatis ſolidi a b,
              <lb/>
            id quod demonſtratum eſt in
              <lb/>
            octaua huius. </s>
            <s xml:space="preserve">Sed quoniam ab
              <lb/>
            eſt ſphæræ diametro æqualis,
              <lb/>
            ut in decima quinta propoſi-
              <lb/>
            tione tertii decimi libri elemẽ
              <lb/>
            torum oſtenditur: </s>
            <s xml:space="preserve">punctum e
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            ſphæræ quoque centrum erit.
              <lb/>
            </s>
            <s xml:space="preserve">Cubi igitur in ſphæra deſcri-
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            pti grauitatis centrum idem
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            eſt, quod centrum ipſius ſphæræ.</s>
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            <figure xlink:label="fig-0188-02" xlink:href="fig-0188-02a">
              <image file="0188-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0188-02"/>
            </figure>
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          <p>
            <s xml:space="preserve">Sit octahedrum a b c d e f, in ſphæra deſcriptum, cuius
              <lb/>
            ſphæræ centrum ſit g. </s>
            <s xml:space="preserve">Dico punctum g ipſius octahedri
              <lb/>
            grauitatis centrum eſſe. </s>
            <s xml:space="preserve">Conſtat enim ex iis, quæ demon-
              <lb/>
            ſtrata ſunt à Campano in quinto decimo libro elemento-
              <lb/>
            rum, propoſitione ſextadecima eiuſimodi ſolidum diuidi
              <lb/>
            in duas pyramides æquales, & </s>
            <s xml:space="preserve">ſimiles; </s>
            <s xml:space="preserve">uidelicetin pyrami-</s>
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