Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            <s xml:id="echoid-s4609" xml:space="preserve">
              <pb file="0184" n="184" rhead="FED. COMMANDINI"/>
            itemq; </s>
            <s xml:id="echoid-s4610" xml:space="preserve">ſimilia triangula a b c, e f g; </s>
            <s xml:id="echoid-s4611" xml:space="preserve">& </s>
            <s xml:id="echoid-s4612" xml:space="preserve">a c d, e g h. </s>
            <s xml:id="echoid-s4613" xml:space="preserve">idcir-
              <lb/>
            coq; </s>
            <s xml:id="echoid-s4614" xml:space="preserve">latera ſibi ipſis reſpondentia eandem inter ſe ſe pro-
              <lb/>
            portionem ſeruant. </s>
            <s xml:id="echoid-s4615" xml:space="preserve">Vt igitur duplum lateris a b unà
              <lb/>
            cum latere e f ad duplum lateris e f unà cum a b, ita eſt
              <lb/>
            duplum a d late-
              <lb/>
              <figure xlink:label="fig-0184-01" xlink:href="fig-0184-01a" number="136">
                <image file="0184-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0184-01"/>
              </figure>
            ris unà cum late-
              <lb/>
            re e h ad duplum
              <lb/>
            e h unà cum a d:
              <lb/>
            </s>
            <s xml:id="echoid-s4616" xml:space="preserve">& </s>
            <s xml:id="echoid-s4617" xml:space="preserve">ita in aliis. </s>
            <s xml:id="echoid-s4618" xml:space="preserve">
              <lb/>
            Rurſus fruſtum
              <lb/>
            a g ad pyramidẽ,
              <lb/>
            cuius eadem eſt
              <lb/>
            bafis, & </s>
            <s xml:id="echoid-s4619" xml:space="preserve">æqualis
              <lb/>
            altitudo eandem
              <lb/>
            proportionẽ ha
              <lb/>
            bet, quam fruſtũ
              <lb/>
            l f ad pyramidẽ,
              <lb/>
            quæ eſt eadẽ ba-
              <lb/>
            ſi, & </s>
            <s xml:id="echoid-s4620" xml:space="preserve">æquali alti-
              <lb/>
            tudine: </s>
            <s xml:id="echoid-s4621" xml:space="preserve">& </s>
            <s xml:id="echoid-s4622" xml:space="preserve">ſimili-
              <lb/>
            ter quam l h fru-
              <lb/>
            ſtum ad pyrami-
              <lb/>
            dem, quæ ex ea-
              <lb/>
            dẽ baſi, & </s>
            <s xml:id="echoid-s4623" xml:space="preserve">æquali
              <lb/>
            altitudine con-
              <lb/>
            ſtat. </s>
            <s xml:id="echoid-s4624" xml:space="preserve">nam ſi inter
              <lb/>
            ipſas baſes me-
              <lb/>
            diæ proportio-
              <lb/>
            nales conſtituan
              <lb/>
            tur, tres baſes ſimul ſumptæ ad maiorem baſim in om-
              <lb/>
            nibus eodem modo ſe habebunt. </s>
            <s xml:id="echoid-s4625" xml:space="preserve">Vnde fit, ut axes K l,
              <lb/>
            q r, t u à punctis p s x in eandem proportionem ſecen-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s4626" xml:space="preserve">ergo linea x s per p tranſibit: </s>
            <s xml:id="echoid-s4627" xml:space="preserve">& </s>
            <s xml:id="echoid-s4628" xml:space="preserve">lineæ r u, s x, q t in-
              <lb/>
              <note position="left" xlink:label="note-0184-01" xlink:href="note-0184-01a" xml:space="preserve">2. ſexti.</note>
            ter ſe æquidiſtantes erunt. </s>
            <s xml:id="echoid-s4629" xml:space="preserve">Itaque cum fruſti a g latera </s>
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Impressum