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="113" file="0151" n="151" rhead="Conicor. Lib. V."/>
            educamus F E quouſque ſecet D M perpendicularem ad axim in M, & </s>
            <s xml:id="echoid-s4538" xml:space="preserve">
              <lb/>
            F I occurrat D M in N, & </s>
            <s xml:id="echoid-s4539" xml:space="preserve">ducantur ad axim perpendiculares H O T S,
              <lb/>
            K P V, B E, L Q, A R: </s>
            <s xml:id="echoid-s4540" xml:space="preserve">& </s>
            <s xml:id="echoid-s4541" xml:space="preserve">ſit in prima figura C I minor recto, in ſecun-
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            da æqualis, in tertia vero maior. </s>
            <s xml:id="echoid-s4542" xml:space="preserve">Conſtat, quemadmodum demonſtra-
              <lb/>
              <note position="left" xlink:label="note-0151-01" xlink:href="note-0151-01a" xml:space="preserve">b</note>
            uimus in propoſitione ſexta huius, quod quadratum I C æquale ſit du-
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            plo trianguli I C F; </s>
            <s xml:id="echoid-s4543" xml:space="preserve">at quadratum O H duplum eſt trapezij O T F C
              <lb/>
            (1. </s>
            <s xml:id="echoid-s4544" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s4545" xml:space="preserve">& </s>
            <s xml:id="echoid-s4546" xml:space="preserve">quadratum I O duplum eſt trianguli O I S; </s>
            <s xml:id="echoid-s4547" xml:space="preserve">ergo quadra-
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            tum I C, nempe duplum trianguli I F C excedit quadratum I H duplo
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            trianguli F T S, quod eſt æquale rectangulo T a: </s>
            <s xml:id="echoid-s4548" xml:space="preserve">& </s>
            <s xml:id="echoid-s4549" xml:space="preserve">conſtat, vti dictum
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              <note position="left" xlink:label="note-0151-02" xlink:href="note-0151-02a" xml:space="preserve">c</note>
              <figure xlink:label="fig-0151-01" xlink:href="fig-0151-01a" number="138">
                <image file="0151-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0151-01"/>
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            eſt, quod ſit exemplar applicatum ad O C; </s>
            <s xml:id="echoid-s4550" xml:space="preserve">ergo quadratum I C excedit
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            quadratum I H exemplari applicato ad O C abſciſſam ipſius I H. </s>
            <s xml:id="echoid-s4551" xml:space="preserve">Patet
              <lb/>
            etiam, quod quadratum I C excedit quadratum I K exemplari applica-
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            to ad P C; </s>
            <s xml:id="echoid-s4552" xml:space="preserve">idemque conſtat in I B; </s>
            <s xml:id="echoid-s4553" xml:space="preserve">igitur I C maior eſt, quàm I H, & </s>
            <s xml:id="echoid-s4554" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0151-03" xlink:href="note-0151-03a" xml:space="preserve">d</note>
            I H, quàm I K, & </s>
            <s xml:id="echoid-s4555" xml:space="preserve">I K, quàm I B: </s>
            <s xml:id="echoid-s4556" xml:space="preserve">poſtea, in figura prima, & </s>
            <s xml:id="echoid-s4557" xml:space="preserve">tertia.</s>
            <s xml:id="echoid-s4558" xml:space="preserve">,
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              <figure xlink:label="fig-0151-02" xlink:href="fig-0151-02a" number="139">
                <image file="0151-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0151-02"/>
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            quia triangulum F C E æquale eſt triangulo D E M; </s>
            <s xml:id="echoid-s4559" xml:space="preserve">ergo quadratum.
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            </s>
            <s xml:id="echoid-s4560" xml:space="preserve">
              <note position="left" xlink:label="note-0151-04" xlink:href="note-0151-04a" xml:space="preserve">e</note>
            I C æquale eſt duplo trianguli N F M cum duplo trianguli D I N, qua-
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            dratum vero I D æquale eſt duplo trianguli D I N; </s>
            <s xml:id="echoid-s4561" xml:space="preserve">igitur quadratum.</s>
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