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="307" file="0345" n="346" rhead="Conicor. Lib. VII."/>
          <p style="it">
            <s xml:id="echoid-s11008" xml:space="preserve">In eadem figura coniungatur recta linèa A Q terminos axium coniungens,
              <lb/>
            & </s>
            <s xml:id="echoid-s11009" xml:space="preserve">per centrum huic parallela ſit e d, perq; </s>
            <s xml:id="echoid-s11010" xml:space="preserve">idem centrum, & </s>
            <s xml:id="echoid-s11011" xml:space="preserve">ſemipartitionem
              <lb/>
              <figure xlink:label="fig-0345-01" xlink:href="fig-0345-01a" number="404">
                <image file="0345-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0345-01"/>
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              <figure xlink:label="fig-0345-02" xlink:href="fig-0345-02a" number="405">
                <image file="0345-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0345-02"/>
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            applicatę A Q ducatur diameter a b: </s>
            <s xml:id="echoid-s11012" xml:space="preserve">Dico diametros coniugatas a b, & </s>
            <s xml:id="echoid-s11013" xml:space="preserve">e d
              <lb/>
            ęquales eſſe inter ſe. </s>
            <s xml:id="echoid-s11014" xml:space="preserve">Quoniam à termino Q ordinatim applicatę A Q ad dia-
              <lb/>
            metrum a b ducitur ad axim perpendicularis Q D cadens in centrum D; </s>
            <s xml:id="echoid-s11015" xml:space="preserve">ergo
              <lb/>
              <note position="right" xlink:label="note-0345-01" xlink:href="note-0345-01a" xml:space="preserve">Prop. 7.
                <lb/>
              huius.</note>
            H D ad D G eandem proportionem habet, quàm quadratum diametri a b ad
              <lb/>
            quadratum eius coniugatę c d; </s>
            <s xml:id="echoid-s11016" xml:space="preserve">ſuntquè H D, & </s>
            <s xml:id="echoid-s11017" xml:space="preserve">G D ęquales inter ſe, cum
              <lb/>
            ſemiaxes, atquè interceptę ſint ęquales inter ſe; </s>
            <s xml:id="echoid-s11018" xml:space="preserve">ergo diametri coniugatę a b,
              <lb/>
            & </s>
            <s xml:id="echoid-s11019" xml:space="preserve">c d ęquales erunt inter ſe hoc pręmiſſo.</s>
            <s xml:id="echoid-s11020" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s11021" xml:space="preserve">Reperiantur in ellipſi duę diametri coniugatę inter ſe ęquales a b, e d, & </s>
            <s xml:id="echoid-s11022" xml:space="preserve">
              <lb/>
            inter a, & </s>
            <s xml:id="echoid-s11023" xml:space="preserve">A ponantur diametri I L, S T, quarum coniugatę N O, & </s>
            <s xml:id="echoid-s11024" xml:space="preserve">V X,
              <lb/>
              <figure xlink:label="fig-0345-03" xlink:href="fig-0345-03a" number="406">
                <image file="0345-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0345-03"/>
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            & </s>
            <s xml:id="echoid-s11025" xml:space="preserve">ducãtur reliquę rectę lineę,
              <lb/>
            vt prius factum eſt, & </s>
            <s xml:id="echoid-s11026" xml:space="preserve">pona-
              <lb/>
            tur primo loco axis A C maior
              <lb/>
            quàm Q R: </s>
            <s xml:id="echoid-s11027" xml:space="preserve">Dico I L maiorem
              <lb/>
            eſſe ipſa N O, & </s>
            <s xml:id="echoid-s11028" xml:space="preserve">S T maiorem
              <lb/>
            V X. </s>
            <s xml:id="echoid-s11029" xml:space="preserve">Quia quadratum A C ad
              <lb/>
            quadratum Q R eandem propor-
              <lb/>
              <note position="right" xlink:label="note-0345-02" xlink:href="note-0345-02a" xml:space="preserve">Defin. 1.
                <lb/>
              huius.</note>
            tionem habet, quàm H A ad A
              <lb/>
            G, & </s>
            <s xml:id="echoid-s11030" xml:space="preserve">quadratum I L ad qua-
              <lb/>
            dratum N O eandem proportio-
              <lb/>
            nem habet, quàm H E ad E G;
              <lb/>
            </s>
            <s xml:id="echoid-s11031" xml:space="preserve">pariterquè quadratum S T ad
              <lb/>
            quadratum V X eandem propor-
              <lb/>
              <note position="right" xlink:label="note-0345-03" xlink:href="note-0345-03a" xml:space="preserve">Prop. 7.
                <lb/>
              huius.</note>
            tionem habet, quàm H M ad
              <lb/>
            M G ; </s>
            <s xml:id="echoid-s11032" xml:space="preserve">ſed in prima hyperbola,
              <lb/>
            & </s>
            <s xml:id="echoid-s11033" xml:space="preserve">prima ellipſi H A maior eſt,
              <lb/>
            quàm A G, & </s>
            <s xml:id="echoid-s11034" xml:space="preserve">H E maior, quã
              <lb/>
            E G, atquè H M maior, quàm
              <lb/>
            M G; </s>
            <s xml:id="echoid-s11035" xml:space="preserve">igitnr quadratum I L </s>
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