Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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          <p>
            <s xml:id="echoid-s4858" xml:space="preserve">
              <pb o="41" file="0193" n="193" rhead="DE CENTRO GRAVIT. SOLID."/>
            noidis ad portiones reliquas, ita alia linea, quæ ſit 1
              <emph style="sc">K</emph>
            ad
              <lb/>
            k e: </s>
            <s xml:id="echoid-s4859" xml:space="preserve">erit 1k maior, quam b k: </s>
            <s xml:id="echoid-s4860" xml:space="preserve">& </s>
            <s xml:id="echoid-s4861" xml:space="preserve">ideo punctum l extra por-
              <lb/>
            tionem cadet. </s>
            <s xml:id="echoid-s4862" xml:space="preserve">Quoniã
              <lb/>
              <figure xlink:label="fig-0193-01" xlink:href="fig-0193-01a" number="143">
                <image file="0193-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0193-01"/>
              </figure>
            igitur à figura circum-
              <lb/>
            ſcripta, cuius grauitatis
              <lb/>
            centrum eſt k, aufertur
              <lb/>
            portio conoidis, cuius
              <lb/>
            centrum e. </s>
            <s xml:id="echoid-s4863" xml:space="preserve">habetq; </s>
            <s xml:id="echoid-s4864" xml:space="preserve">l K
              <lb/>
            ad K e eam proportio-
              <lb/>
            nem, quam portio co-
              <lb/>
            noidis ad reliquas por-
              <lb/>
            tiones; </s>
            <s xml:id="echoid-s4865" xml:space="preserve">erit punctum l
              <lb/>
            extra portionem cadẽs,
              <lb/>
            centrum magnitudinis
              <lb/>
            ex reliquis portionibus compoſitæ. </s>
            <s xml:id="echoid-s4866" xml:space="preserve">illud autem fieri nullo
              <lb/>
            modo poteſt. </s>
            <s xml:id="echoid-s4867" xml:space="preserve">quare conſtat lineam k e ipſa g linea propoſi
              <lb/>
            ta minorem eſſe.</s>
            <s xml:id="echoid-s4868" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4869" xml:space="preserve">Rurfus inſcribatur portioni figura, uidelicet cylindr us
              <lb/>
            m n, ut ſit ipſius altitudo
              <lb/>
              <figure xlink:label="fig-0193-02" xlink:href="fig-0193-02a" number="144">
                <image file="0193-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0193-02"/>
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            æqualis dimidio axis b d:
              <lb/>
            </s>
            <s xml:id="echoid-s4870" xml:space="preserve">& </s>
            <s xml:id="echoid-s4871" xml:space="preserve">quam proportionem
              <lb/>
            habet b e ad g, habeat m n
              <lb/>
            cylindrus ad ſolidum o. </s>
            <s xml:id="echoid-s4872" xml:space="preserve">
              <lb/>
            inſcrib itur deinde eidem
              <lb/>
            alia figura, ita ut portio-
              <lb/>
            nes reliquæ ſint ſolido o
              <lb/>
            minores: </s>
            <s xml:id="echoid-s4873" xml:space="preserve">& </s>
            <s xml:id="echoid-s4874" xml:space="preserve">centrum gra
              <lb/>
            uitatis figuræ ſit p. </s>
            <s xml:id="echoid-s4875" xml:space="preserve">Dico
              <lb/>
            lineam p e ipſa g minorẽ
              <lb/>
            eſſe. </s>
            <s xml:id="echoid-s4876" xml:space="preserve">ſi enim non ſit mi-
              <lb/>
            nor, eodem, quo ſupra modo demonſtrabimus figuram in
              <lb/>
            ſcriptam ad reliquas portiones maiorem proportionem
              <lb/>
            habere, quàm b e ad e p. </s>
            <s xml:id="echoid-s4877" xml:space="preserve">& </s>
            <s xml:id="echoid-s4878" xml:space="preserve">ſi fiat alia linea l e ad e p, ut eſt
              <lb/>
            figura inſcripta ad reliquas portiones, pũctum l extra </s>
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