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="169" file="0207" n="207" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0207-01" xlink:href="fig-0207-01a" number="227">
                <image file="0207-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0207-01"/>
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            prima figura extra duo ſegmenta, & </s>
            <s xml:id="echoid-s6509" xml:space="preserve">in ſecunda intra, at in ter-
              <lb/>
            tia intra duos ſemicirculos), & </s>
            <s xml:id="echoid-s6510" xml:space="preserve">fuerit proportio plani rectan-
              <lb/>
            guli ex portionibus lineæ baſis inter angulum prouenientem, & </s>
            <s xml:id="echoid-s6511" xml:space="preserve">
              <lb/>
            duos angulos reliquos trianguli, nempe A H in H C ad qua-
              <lb/>
              <note position="left" xlink:label="note-0207-01" xlink:href="note-0207-01a" xml:space="preserve">2</note>
            dratum interceptæ inter prouenientem angulum, & </s>
            <s xml:id="echoid-s6512" xml:space="preserve">circuli peri-
              <lb/>
            pheriam, nempe ad quadratum H B in quolibet caſu eadem
              <lb/>
            ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
              <lb/>
            quadratum H T ſit, vt D I in I F ad quadratum I G; </s>
            <s xml:id="echoid-s6513" xml:space="preserve">ſintque
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            duo priores anguli, inter ſe æquales, & </s>
            <s xml:id="echoid-s6514" xml:space="preserve">prouenientes extra duo
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            triangula poſiti: </s>
            <s xml:id="echoid-s6515" xml:space="preserve">vel duo priores recti, & </s>
            <s xml:id="echoid-s6516" xml:space="preserve">prouenientes intra
              <lb/>
              <note position="left" xlink:label="note-0207-02" xlink:href="note-0207-02a" xml:space="preserve">3</note>
            duos angulos non ſint recti; </s>
            <s xml:id="echoid-s6517" xml:space="preserve">aut duo priores non recti, & </s>
            <s xml:id="echoid-s6518" xml:space="preserve">pro-
              <lb/>
              <note position="left" xlink:label="note-0207-03" xlink:href="note-0207-03a" xml:space="preserve">4</note>
            uenientes recti intra duo triangula: </s>
            <s xml:id="echoid-s6519" xml:space="preserve">vel duo priores diuerſæ,
              <lb/>
              <note position="left" xlink:label="note-0207-04" xlink:href="note-0207-04a" xml:space="preserve">5</note>
            aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
              <lb/>
            les cum lateribus duorum triangulorum ſubtendentibus angulos
              <lb/>
            prouenientes: </s>
            <s xml:id="echoid-s6520" xml:space="preserve">vtique duo priora triangula ſunt ſimilia.</s>
            <s xml:id="echoid-s6521" xml:space="preserve"/>
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            <s xml:id="echoid-s6522" xml:space="preserve">Quia C H in H A; </s>
            <s xml:id="echoid-s6523" xml:space="preserve">nempe T H in H B ad quadratum H B, quod eſt,
              <lb/>
            vt H T ad H B eandem proportionem habet, quàm D I in I F, nempe
              <lb/>
              <figure xlink:label="fig-0207-02" xlink:href="fig-0207-02a" number="228">
                <image file="0207-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0207-02"/>
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            G I in I E ad quadratum I E, quod eſt vt I G ad I E, erit B H ad H T,
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            vt E I ad I G; </s>
            <s xml:id="echoid-s6524" xml:space="preserve">ſimiliter, & </s>
            <s xml:id="echoid-s6525" xml:space="preserve">eorum quadrata; </s>
            <s xml:id="echoid-s6526" xml:space="preserve">oſtendetur igitur ex </s>
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