Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            <s xml:id="echoid-s3383" xml:space="preserve">
              <pb o="11" file="0133" n="133" rhead="DE CENTRO GRA VIT. SOLID."/>
            & </s>
            <s xml:id="echoid-s3384" xml:space="preserve">per o ducatur o p ad k m ipſi h g æquidiſtans. </s>
            <s xml:id="echoid-s3385" xml:space="preserve">Itaque li
              <lb/>
            nea h m bifariã uſque eò diuidatur, quoad reliqua ſit pars
              <lb/>
            quædam q m, minor o p. </s>
            <s xml:id="echoid-s3386" xml:space="preserve">deinde h m, m g diuidantur in
              <lb/>
            partes æ quales ipſi m q: </s>
            <s xml:id="echoid-s3387" xml:space="preserve">& </s>
            <s xml:id="echoid-s3388" xml:space="preserve">per diuiſiones lineæ ipſi m K
              <lb/>
            æ quidiſtantes ducantur. </s>
            <s xml:id="echoid-s3389" xml:space="preserve">puncta uero, in quibus hæ trian-
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            gulorum latera ſecant, coniungantur ductis lineis r s, t u,
              <lb/>
              <figure xlink:label="fig-0133-01" xlink:href="fig-0133-01a" number="89">
                <image file="0133-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0133-01"/>
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            x y; </s>
            <s xml:id="echoid-s3390" xml:space="preserve">quæ baſi g h æquidiſtabunt. </s>
            <s xml:id="echoid-s3391" xml:space="preserve">Quoniam enim lineæ g z,
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            h α ſunt æ quales: </s>
            <s xml:id="echoid-s3392" xml:space="preserve">itemq; </s>
            <s xml:id="echoid-s3393" xml:space="preserve">æquales g m, m h: </s>
            <s xml:id="echoid-s3394" xml:space="preserve">ut m g ad g z,
              <lb/>
            ita erit m h, ad h α: </s>
            <s xml:id="echoid-s3395" xml:space="preserve">& </s>
            <s xml:id="echoid-s3396" xml:space="preserve">diuidendo, ut m z ad z g, ita m α ad
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            α h. </s>
            <s xml:id="echoid-s3397" xml:space="preserve">Sed ut m z ad z g, ita k r ad r g: </s>
            <s xml:id="echoid-s3398" xml:space="preserve">& </s>
            <s xml:id="echoid-s3399" xml:space="preserve">ut m α ad α h, ita k s
              <lb/>
              <note position="right" xlink:label="note-0133-01" xlink:href="note-0133-01a" xml:space="preserve">2. ſexti.</note>
            ad s h. </s>
            <s xml:id="echoid-s3400" xml:space="preserve">quare ut κ r ad r g, ita k s ad s h. </s>
            <s xml:id="echoid-s3401" xml:space="preserve">æ quidiſtant igitur
              <lb/>
              <note position="right" xlink:label="note-0133-02" xlink:href="note-0133-02a" xml:space="preserve">I1. quinti</note>
            inter ſe ſe r s, g h. </s>
            <s xml:id="echoid-s3402" xml:space="preserve">eadem quoque ratione demonſtrabimus
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              <note position="right" xlink:label="note-0133-03" xlink:href="note-0133-03a" xml:space="preserve">2. ſexti.</note>
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