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="393" file="0431" n="432" rhead="Aſſumpt. Liber."/>
            & </s>
            <s xml:id="echoid-s13171" xml:space="preserve">angulus B eſt communis,
              <lb/>
              <figure xlink:label="fig-0431-01" xlink:href="fig-0431-01a" number="497">
                <image file="0431-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0431-01"/>
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            ergo A G B æqualis eſt an-
              <lb/>
            gulo C D B recto, ergo A
              <lb/>
            G eſt perpendicularis ſuper
              <lb/>
            B C. </s>
            <s xml:id="echoid-s13172" xml:space="preserve">Hoc præmiſſo repe-
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            tamus ex propoſit. </s>
            <s xml:id="echoid-s13173" xml:space="preserve">quàm
              <lb/>
            attulit Archimedes D A,
              <lb/>
            A B, & </s>
            <s xml:id="echoid-s13174" xml:space="preserve">perpendiculares D
              <lb/>
            C, A I, B F, B I, & </s>
            <s xml:id="echoid-s13175" xml:space="preserve">li-
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            neam D I. </s>
            <s xml:id="echoid-s13176" xml:space="preserve">iam ſi B I D
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            non fuerit linea recta, iun-
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            gamus B G D rectam, erit
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            angulus A G B rectus ex
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            præmiſſa propoſitione, & </s>
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              <lb/>
              <figure xlink:label="fig-0431-02" xlink:href="fig-0431-02a" number="498">
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            erat angulus A I B rectus,
              <lb/>
            ergo internus in triangulo
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            B I G æqualis eſt oppoſito
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            externo, & </s>
            <s xml:id="echoid-s13178" xml:space="preserve">hoc eſt abſur-
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            dum, igitur linea B I D
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            eſt recta. </s>
            <s xml:id="echoid-s13179" xml:space="preserve">Deinde attulit
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            duas propoſitiones ex in-
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            terpretatione Alkauhi, qua-
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            rum prima eſt hæc.</s>
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        <div xml:id="echoid-div1128" type="section" level="1" n="361">
          <head xml:id="echoid-head453" xml:space="preserve">SCHOLIVM PRIMVM ALKAVHI.</head>
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            <s xml:id="echoid-s13181" xml:space="preserve">S I non fuerint duo ſemicirculi tangentes, ſed mutuo ſe ſecantes,
              <lb/>
            & </s>
            <s xml:id="echoid-s13182" xml:space="preserve">perpendicularis fuerit in loco mutuæ ſectionis, idem ſe-
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            quitur.</s>
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          <p>
            <s xml:id="echoid-s13184" xml:space="preserve">Sint itaque ſemicirculi A B C, A D E, F D C, & </s>
            <s xml:id="echoid-s13185" xml:space="preserve">duo illi ſemicir-
              <lb/>
            culi ſe mutuo ſecantes in D, & </s>
            <s xml:id="echoid-s13186" xml:space="preserve">B G perpendicularis ſuper A C inſiſtat,
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              <figure xlink:label="fig-0431-03" xlink:href="fig-0431-03a" number="499">
                <image file="0431-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0431-03"/>
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            </s>
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