Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            midum demiſſa adeo, ut baſis ipſius tota ſit in hu
              <lb/>
            mido, & </s>
            <s xml:id="echoid-s1543" xml:space="preserve">poſita inclinata, nec conuertetur ita, ut
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            axis ipſius ſecũdum perpendicularem ſit, nec ma
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            nebit inclinata, niſi quãdo axis cum ſuperficie hu
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            midi angulum fecerit æqualem angulo ſimiliter
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            ut prius, aſſumpto.</s>
            <s xml:id="echoid-s1544" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1545" xml:space="preserve">SIT portio, qualis dicta eſt: </s>
            <s xml:id="echoid-s1546" xml:space="preserve">ponaturq; </s>
            <s xml:id="echoid-s1547" xml:space="preserve">d b æ qualis axi
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            portionis: </s>
            <s xml:id="echoid-s1548" xml:space="preserve">& </s>
            <s xml:id="echoid-s1549" xml:space="preserve">b _k_ quidem ſit dupla ipſius _k_ d; </s>
            <s xml:id="echoid-s1550" xml:space="preserve">k r autem
              <lb/>
            æqualis ei, quæ uſque ad axem: </s>
            <s xml:id="echoid-s1551" xml:space="preserve">& </s>
            <s xml:id="echoid-s1552" xml:space="preserve">c b ſeſquialtera b r.
              <lb/>
            </s>
            <s xml:id="echoid-s1553" xml:space="preserve">Quam uero proportionem habet portio ad humidum in
              <lb/>
            grauitate, eam habeat exceſſus, quo quadratum b d exce-
              <lb/>
            dit quadratum f q, ad ipſum b d quadratum: </s>
            <s xml:id="echoid-s1554" xml:space="preserve">& </s>
            <s xml:id="echoid-s1555" xml:space="preserve">ſit f ipſius
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            q dupla. </s>
            <s xml:id="echoid-s1556" xml:space="preserve">conſtat igitur exceſſum, quo quadratum b d ex-
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            cedit quadratum
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            b c ad quadratum
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            b d, minorem ha-
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            bere proportio-
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            nem, quàm exceſ-
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            ſus, quo quadratũ
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            b d excedit qua-
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            dratum f q ad b d
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            quadratum. </s>
            <s xml:id="echoid-s1557" xml:space="preserve">eſt e-
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            nim b c exceſſus
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            quo axis portiõis
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            maior eſt, quã ſeſ-
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            quialter eius, quæ
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            uſque ad axem.
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            </s>
            <s xml:id="echoid-s1558" xml:space="preserve">quare quadr atum
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              <note position="left" xlink:label="note-0064-01" xlink:href="note-0064-01a" xml:space="preserve">A</note>
            b d magis excedit
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            quadratum f q, quàm b c quadratum: </s>
            <s xml:id="echoid-s1559" xml:space="preserve">& </s>
            <s xml:id="echoid-s1560" xml:space="preserve">idcirco linea f q
              <lb/>
            minor eſt, quàm b c itemq; </s>
            <s xml:id="echoid-s1561" xml:space="preserve">f minor, quàm br. </s>
            <s xml:id="echoid-s1562" xml:space="preserve">Sit ipſi </s>
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