Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[Figure 151]
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        <div xml:id="echoid-div231" type="section" level="1" n="79">
          <p>
            <s xml:id="echoid-s3836" xml:space="preserve">
              <pb o="21" file="0153" n="153" rhead="DE CENTRO GRAVIT. SOLID."/>
            diuidendo figura ſolida inſcripta ad dictam exceſſus par-
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            tem, ut τ e ad e ρ. </s>
            <s xml:id="echoid-s3837" xml:space="preserve">& </s>
            <s xml:id="echoid-s3838" xml:space="preserve">quoniam à cono, ſeu coni portione,
              <lb/>
            cuius grauitatis centrum eſt e, aufertur figura inſcripta,
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            cuius centrum ρ: </s>
            <s xml:id="echoid-s3839" xml:space="preserve">reſiduæ magnitudinis compoſitæ ex par
              <lb/>
            te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
              <lb/>
            continetur, centrum grauitatis erit in linea ζ e protracta,
              <lb/>
            atque in puncto τ. </s>
            <s xml:id="echoid-s3840" xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:id="echoid-s3841" xml:space="preserve">cõſtat ergo centrũ
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            grauitatis coni, uel coni portionis, eſſe in axe b d: </s>
            <s xml:id="echoid-s3842" xml:space="preserve">quod de
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            monſcrandum propoſuimus.</s>
            <s xml:id="echoid-s3843" xml:space="preserve"/>
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        <div xml:id="echoid-div234" type="section" level="1" n="80">
          <head xml:id="echoid-head87" xml:space="preserve">THE OREMA XI. PROPOSITIO XV.</head>
          <p>
            <s xml:id="echoid-s3844" xml:space="preserve">Cuiuslibet portionis ſphæræ uel ſphæroidis,
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            quæ dimidia maior non ſit: </s>
            <s xml:id="echoid-s3845" xml:space="preserve">itemq́; </s>
            <s xml:id="echoid-s3846" xml:space="preserve">cuiuslibet por
              <lb/>
            tionis conoidis, uel abſciſſæ plano ad axem recto,
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            uel non recto, centrum grauitatis in axe con-
              <lb/>
            ſiſtit.</s>
            <s xml:id="echoid-s3847" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3848" xml:space="preserve">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
              <lb/>
            ni portione attulimus, ne toties eadem fruſtra iterentur.</s>
            <s xml:id="echoid-s3849" xml:space="preserve"/>
          </p>
          <figure number="106">
            <image file="0153-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0153-01"/>
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