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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        <div xml:id="echoid-div1054" type="section" level="1" n="335">
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              <pb o="356" file="0394" n="395" rhead="Apollonij Pergæi"/>
            duplum rectanguli ex differentia ipſarum E H, & </s>
            <s xml:id="echoid-s12291" xml:space="preserve">G M in M H maius erit
              <lb/>
              <note position="left" xlink:label="note-0394-01" xlink:href="note-0394-01a" xml:space="preserve">Lem. 13.</note>
            duobus quadratis ex G M, & </s>
            <s xml:id="echoid-s12292" xml:space="preserve">ex M H, & </s>
            <s xml:id="echoid-s12293" xml:space="preserve">propterea duo quadrata ex I L, & </s>
            <s xml:id="echoid-s12294" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0394-02" xlink:href="note-0394-02a" xml:space="preserve">Lem. 15.
                <lb/>
              huius.</note>
            ex I K ſimul ſumpta maiora erunt duobus quadratis ex Q P, & </s>
            <s xml:id="echoid-s12295" xml:space="preserve">ex P R.</s>
            <s xml:id="echoid-s12296" xml:space="preserve"/>
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          <figure number="466">
            <image file="0394-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0394-01"/>
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            <s xml:id="echoid-s12297" xml:space="preserve">Similiter duplum rectanguli E H A maius erit quadrato ex G H, & </s>
            <s xml:id="echoid-s12298" xml:space="preserve">pro-
              <lb/>
            pterea duplum E H ad H G maiorem proportionem habebit, quàm G H ad H
              <lb/>
            A, & </s>
            <s xml:id="echoid-s12299" xml:space="preserve">ideo duplum rectanguli ex differentia ipſarum A H, & </s>
            <s xml:id="echoid-s12300" xml:space="preserve">G E in E H
              <lb/>
              <note position="left" xlink:label="note-0394-03" xlink:href="note-0394-03a" xml:space="preserve">Lem. 13.
                <lb/>
              huius.</note>
            maius erit duobus quadratis ex G E, & </s>
            <s xml:id="echoid-s12301" xml:space="preserve">ex E H: </s>
            <s xml:id="echoid-s12302" xml:space="preserve">igitur duo quadrata ex C A,
              <lb/>
              <note position="left" xlink:label="note-0394-04" xlink:href="note-0394-04a" xml:space="preserve">Lem. 15.
                <lb/>
              huius.</note>
            & </s>
            <s xml:id="echoid-s12303" xml:space="preserve">A F maiora erunt duobus quadratis ex I L, & </s>
            <s xml:id="echoid-s12304" xml:space="preserve">ex I K.</s>
            <s xml:id="echoid-s12305" xml:space="preserve"/>
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            <s xml:id="echoid-s12306" xml:space="preserve">Rurſus quia V H minor eſt, quàm M H erit duplum rectanguli V H M mi-
              <lb/>
            nus duplo quadrati M H, ſeu minus quadrato G H, igitur duplum V H ad
              <lb/>
            H G minorem proportionem habet, quàm G H ad H M, & </s>
            <s xml:id="echoid-s12307" xml:space="preserve">propterea duplum
              <lb/>
              <note position="left" xlink:label="note-0394-05" xlink:href="note-0394-05a" xml:space="preserve">Lem. 13.
                <lb/>
              huius.</note>
            rectanguli ex differentia ipſarum M H, & </s>
            <s xml:id="echoid-s12308" xml:space="preserve">G V in V H minus erit duobus
              <lb/>
            quadratis ex G V, & </s>
            <s xml:id="echoid-s12309" xml:space="preserve">ex V H, & </s>
            <s xml:id="echoid-s12310" xml:space="preserve">propterea duo quadrata ex Q P, & </s>
            <s xml:id="echoid-s12311" xml:space="preserve">ex P
              <lb/>
              <note position="left" xlink:label="note-0394-06" xlink:href="note-0394-06a" xml:space="preserve">Lem. 15.
                <lb/>
              huius.</note>
            R minora erunt duobus quadratis ex T S, & </s>
            <s xml:id="echoid-s12312" xml:space="preserve">ex S Z: </s>
            <s xml:id="echoid-s12313" xml:space="preserve">ſi verò D V maior fue-
              <lb/>
            rit quàm D M, erunt duo quadrata ex Q P, & </s>
            <s xml:id="echoid-s12314" xml:space="preserve">ex P R minora duobus qua-
              <lb/>
              <note position="left" xlink:label="note-0394-07" xlink:href="note-0394-07a" xml:space="preserve">Lem 16.
                <lb/>
              huius.</note>
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