Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            <s xml:id="echoid-s3931" xml:space="preserve">
              <pb file="0158" n="158" rhead="FED. COMMANDINI"/>
            ut altitudo ad altitudinem & </s>
            <s xml:id="echoid-s3932" xml:space="preserve">componendo conuertendo
              <lb/>
            que ſolidum a b g h, hoc eſt ſolidum a b c d ipſi æquale, ad
              <lb/>
              <note position="left" xlink:label="note-0158-01" xlink:href="note-0158-01a" xml:space="preserve">7. quinti.</note>
            ſolidum a b e f, ut altitudo ſolidi a b c d ad ſolidi a b e f al-
              <lb/>
            titudinem.</s>
            <s xml:id="echoid-s3933" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3934" xml:space="preserve">Sint ſolida parallelepipeda a b, c d in æqualibus baſibus
              <lb/>
            conſtituta: </s>
            <s xml:id="echoid-s3935" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s3936" xml:space="preserve">b e altitudo ſolidi a b: </s>
            <s xml:id="echoid-s3937" xml:space="preserve">& </s>
            <s xml:id="echoid-s3938" xml:space="preserve">ſolidi c d altitudo
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            d f; </s>
            <s xml:id="echoid-s3939" xml:space="preserve">quæ quidem maior ſit, quàm b e. </s>
            <s xml:id="echoid-s3940" xml:space="preserve">Dico ſolidum a b ad
              <lb/>
            ſolidum c d eandem habere proportionem, quam be ad
              <lb/>
            d f. </s>
            <s xml:id="echoid-s3941" xml:space="preserve">abſcindatur enim à linea d f æqualis ipſi b e, quæ ſit g f:
              <lb/>
            </s>
            <s xml:id="echoid-s3942" xml:space="preserve">& </s>
            <s xml:id="echoid-s3943" xml:space="preserve">per g ducatur planum ſecans ſolidum c d; </s>
            <s xml:id="echoid-s3944" xml:space="preserve">quod baſibus
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            æquidiſtet, faciatq; </s>
            <s xml:id="echoid-s3945" xml:space="preserve">ſectionẽ h K. </s>
            <s xml:id="echoid-s3946" xml:space="preserve">erunt ſolida a b, c k æque
              <lb/>
              <note position="left" xlink:label="note-0158-02" xlink:href="note-0158-02a" xml:space="preserve">31. unde
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              cimi</note>
            alta inter
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              <figure xlink:label="fig-0158-01" xlink:href="fig-0158-01a" number="112">
                <image file="0158-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0158-01"/>
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            ſe æqualia
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            cũ æqua-
              <lb/>
            les baſes
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            habeant.
              <lb/>
            </s>
            <s xml:id="echoid-s3947" xml:space="preserve">Sed ſolidũ
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              <note position="left" xlink:label="note-0158-03" xlink:href="note-0158-03a" xml:space="preserve">18. huius</note>
            h d ad ſoli
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            dum c _K_
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            eſt, ut alti
              <lb/>
            tudo d g
              <lb/>
            ad g f alti-
              <lb/>
            tudinẽ ſe
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            catur enim ſolidum c d plano baſi
              <lb/>
              <figure xlink:label="fig-0158-02" xlink:href="fig-0158-02a" number="113">
                <image file="0158-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0158-02"/>
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            bus æquidiſtante: </s>
            <s xml:id="echoid-s3948" xml:space="preserve">& </s>
            <s xml:id="echoid-s3949" xml:space="preserve">rurſus cõpo-
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            nendo, conuertendoq; </s>
            <s xml:id="echoid-s3950" xml:space="preserve">ſolidũ c _k_
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            ad ſolidum c d, ut g f ad fd. </s>
            <s xml:id="echoid-s3951" xml:space="preserve">ergo
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              <note position="left" xlink:label="note-0158-04" xlink:href="note-0158-04a" xml:space="preserve">7. quinti.</note>
            ſolidum a b, quod eſt æquale ipſi
              <lb/>
            c k ad ſolidum c d eam proportio
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            nem habet, quam altitudo g f, hoc
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            eſt b e ad d f altitudinem.</s>
            <s xml:id="echoid-s3952" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3953" xml:space="preserve">Sint deinde ſolida parallelepipe
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            da a b, a c in eadem baſi; </s>
            <s xml:id="echoid-s3954" xml:space="preserve">quorum
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            axes d e, ſ e cum ipſa æquales </s>
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