Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            in linea e b punctũ g, it aut ſit g e æqualis e f. </s>
            <s xml:id="echoid-s3150" xml:space="preserve">erit g por-
              <lb/>
            tionis a b c centrum. </s>
            <s xml:id="echoid-s3151" xml:space="preserve">nam ſi hæ portiones, quæ æquales
              <lb/>
            & </s>
            <s xml:id="echoid-s3152" xml:space="preserve">ſimiles ſunt, inter ſe ſe aptentur, ita ut b e cadat in d e,
              <lb/>
            & </s>
            <s xml:id="echoid-s3153" xml:space="preserve">punctum b in d cadet, & </s>
            <s xml:id="echoid-s3154" xml:space="preserve">g in f: </s>
            <s xml:id="echoid-s3155" xml:space="preserve">figuris autem æquali-
              <lb/>
            bus, & </s>
            <s xml:id="echoid-s3156" xml:space="preserve">ſimilibus inter ſe aptatis, centra quoque grauitatis
              <lb/>
            ipſarum inter ſe aptata erunt, ex quinta petitione Archi-
              <lb/>
            medis in libro de centro grauitatis planorum. </s>
            <s xml:id="echoid-s3157" xml:space="preserve">Quare cum
              <lb/>
            portionis a d c centrum grauitatis ſit ſ: </s>
            <s xml:id="echoid-s3158" xml:space="preserve">& </s>
            <s xml:id="echoid-s3159" xml:space="preserve">portionis
              <lb/>
            a b c centrum g: </s>
            <s xml:id="echoid-s3160" xml:space="preserve">magnitudinis; </s>
            <s xml:id="echoid-s3161" xml:space="preserve">quæ ex utriſque efficitur:
              <lb/>
            </s>
            <s xml:id="echoid-s3162" xml:space="preserve">hoc eſt circuli uel ellipſis grauitatis centrum in medio li-
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            neæ f g, quod eſt e, conſiſtet, ex quarta propoſitione eiuſ-
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            dem libri Archimedis. </s>
            <s xml:id="echoid-s3163" xml:space="preserve">ergo circuli, uel ellipſis centrum
              <lb/>
            grauitatis eſt idem, quod figuræ centrum. </s>
            <s xml:id="echoid-s3164" xml:space="preserve">atque illud eſt,
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            quod demonſtrare oportebat.</s>
            <s xml:id="echoid-s3165" xml:space="preserve"/>
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            <s xml:id="echoid-s3166" xml:space="preserve">Ex quibus ſequitur portionis circuli, uel ellip-
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            ſis, quæ dimidia maior ſit, centrum grauitatis in
              <lb/>
            diametro quoque ipſius conſiſtere.</s>
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          <figure number="81">
            <image file="0124-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0124-01"/>
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            <s xml:id="echoid-s3168" xml:space="preserve">Sit enim maior portio a b c, cu_i_us diameter b d, & </s>
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            pleatur circulus, uel ellipſis, ut portio reliqua ſit a e c, </s>
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