Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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          <pb o="127" file="0165" n="165" rhead="Conicor. Lib. V."/>
          <figure number="160">
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        <div xml:id="echoid-div471" type="section" level="1" n="145">
          <head xml:id="echoid-head194" xml:space="preserve">PROPOSITIO XXXVIII.</head>
          <p>
            <s xml:id="echoid-s5023" xml:space="preserve">SI linea maxima, aut breuiſſima,
              <lb/>
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            vt C B, producatur extra ſe-
              <lb/>
            ctionem A B ad D, erit eius portio
              <lb/>
            B D extra ſectionem abſciſſa mini-
              <lb/>
            ma omnium linearum D E, D F,
              <lb/>
            D A egredientium ab illo pnncto ad
              <lb/>
            circumferentiam ſectionis: </s>
            <s xml:id="echoid-s5024" xml:space="preserve">reliqua-
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            rũ vero propinquior, illi minor eſt
              <lb/>
            remotiore.</s>
            <s xml:id="echoid-s5025" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5026" xml:space="preserve">Educatur B G, tangens ſectionem in
              <lb/>
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            B; </s>
            <s xml:id="echoid-s5027" xml:space="preserve">erit D B minor, quàm D H; </s>
            <s xml:id="echoid-s5028" xml:space="preserve">ergo mul-
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            to minor eſt, quàm D E: </s>
            <s xml:id="echoid-s5029" xml:space="preserve">& </s>
            <s xml:id="echoid-s5030" xml:space="preserve">iungamus
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            F E, F A, erit angulus F E D obtuſus,
              <lb/>
            & </s>
            <s xml:id="echoid-s5031" xml:space="preserve">propterea D E minor eſt, quàm D F,
              <lb/>
            & </s>
            <s xml:id="echoid-s5032" xml:space="preserve">ſimiliter D F minor, quàm D A; </s>
            <s xml:id="echoid-s5033" xml:space="preserve">quod
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            erat oſtendendum.</s>
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