DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N148BC" type="main">
              <s id="N148C4">
                <pb xlink:href="077/01/124.jpg" pagenum="120"/>
              ſtrauit. </s>
              <s id="N148D0">Ex quibus colligit Geminus (〈que〉m Eutocius, alijquè
                <lb/>
              complures ſecuti ſunt) eos, qui ante Apollonium extitere,
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              conostantùm rectos cognouiſſe. </s>
              <s id="N148D6">& in vnoquo〈que〉 cono
                <expan abbr="vnã">vnam</expan>
                <lb/>
              tantùm ſectionem animaduertiſſe. </s>
              <s id="N148DE">quod quidem ſi de ijs, qui
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              ante Archimedem fuere intelligatur; ad mitti fortaſſe poterit;
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              ac præſertim de Euclide. </s>
              <s id="N148E4">vt patet ex definitione coni abeo
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              tradita. </s>
              <s id="N148E8">At verò de Archimede, qui poſt Euclidem, ante verò
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              Apollonium fuit, non ita facilè concedendum videtur.
                <expan abbr="">Nam</expan>
              ex
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              ijs, quæ ſcripta reliquit. </s>
              <s id="N148F2">eum non ſolùm notitiam ha-­
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              buiſſe de conis rectis; verùm
                <expan abbr="etiã">etiam</expan>
              de ſcalenis facilè ex i-­
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              pſius ſcriptis conijci poteſt. </s>
              <s id="N148FC">In primo enim librode ſphæ­
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              ra, & cylindro multis in locis, vt in ſeptima, octaua, no
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              na, decimaquarta, decimaquinta propoſitione; alijsquè in
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              locis conos nominat ęquicrures, quod quidem ſecundum i­
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              pſum ſunt, qui in eius ſuperficie æquales habent rectas lineas
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              à vertice coni ad baſim ductas. </s>
              <s id="N14908">item in epiſtola quo〈que〉 libri
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              de conoidibus & ſphęroidibus, quam Archimedes Deſitheo
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              ſcribit. </s>
              <s id="N1490E">cùm de obtuſiangulo conoideverba facit, conum vo­
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              catæquicrurem. </s>
              <s id="N14912">Quòd ſi Archimedes hos conos vocauit æ­
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              quicrures, cui dubium, ipſum eosad differentiam eorum, qui
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              non ſunt æquicrures ita nuncupaſſe? </s>
              <s id="N14918">qui verò non ſunt æ­
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              quicrures ex ipſomet Apollonio ſunt ſcaleni; nam æquicrures
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              hoc modo coni axes habent baſibus erectos. </s>
              <s id="N1491E">qui igitur non
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              erunt æquicrures, eorum axes ſuis baſibus nunquàm erunt e­
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              recti. </s>
              <s id="N14924">Præterea idem quo〈que〉 confirmari poteſt ex demon­
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              ſtratione vigeſimæquintæ propoſitionis eiu
                <gap/>
              dem libri, in qua
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              cùm nominet Archimehes conum rectum proculdubiò ad
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              differentiam eorum, qui non ſuntrecti ita eum nuncupauit.
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              nam ſi Aichimedes (ex illorum ſententia) conos tan ùm re­
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              ctos cognouiſſet; quorſum his in locis conum rectum, vel æ­
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              quicrurem nominaſſet? </s>
              <s id="N14934">ſat ſibi fuiſſet conum tantum dixiſſe.
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              Ne〈que〉 verò dicendum eſt Archimedem per cono recto intel
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              lexiſſe conum rectangulum eo modo, 〈que〉m ſupra expoſui­
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              mus. </s>
              <s id="N1493C">nam in ea propoſitione, dum conſtituit hunc conum,
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              non conſurgit conus rectangulus, ſed obtuſiangulus quapro
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              pter conum rectum nominatad differentiam coni ſcaleni. </s>
              <s id="N14942">Cę
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              terùm ut manifeſtè oſtendamus Archimedem conos </s>
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    </archimedes>