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="313" file="0351" n="352" rhead="Conicor. Lib. VII."/>
          <figure number="416">
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        <div xml:id="echoid-div953" type="section" level="1" n="299">
          <head xml:id="echoid-head370" xml:space="preserve">Notæ in Propoſit. XXIV.</head>
          <p style="it">
            <s xml:id="echoid-s11213" xml:space="preserve">I Gitur erectum ipſius A C mi-
              <lb/>
              <figure xlink:label="fig-0351-02" xlink:href="fig-0351-02a" number="417">
                <image file="0351-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0351-02"/>
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              <note position="left" xlink:label="note-0351-01" xlink:href="note-0351-01a" xml:space="preserve">h</note>
            nus eſt in prima, & </s>
            <s xml:id="echoid-s11214" xml:space="preserve">maius in-
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            ſecunda, quàm I L, & </s>
            <s xml:id="echoid-s11215" xml:space="preserve">ſic oſten-
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            detur, quod erectum ipſius I L ma-
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            ius ſit, ſiue minus quàm erectum.
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            <s xml:id="echoid-s11216" xml:space="preserve">S T, &</s>
            <s xml:id="echoid-s11217" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11218" xml:space="preserve">Quoniam in prima ellipſi
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            rectangulum C A F minus eſt rectan-
              <lb/>
              <note position="right" xlink:label="note-0351-02" xlink:href="note-0351-02a" xml:space="preserve">Pro p. 28.
                <lb/>
              h uius.</note>
            gulo L I K; </s>
            <s xml:id="echoid-s11219" xml:space="preserve">ergo A C ad I L mino-
              <lb/>
            rem proportionem habet reciproce, quã
              <lb/>
            I @ ad A F; </s>
            <s xml:id="echoid-s11220" xml:space="preserve">quare I K ad aliquam
              <lb/>
            aliam quantitatem maiorem, quàm.
              <lb/>
            </s>
            <s xml:id="echoid-s11221" xml:space="preserve">A F eandem proportionem habebit,
              <lb/>
            quàm A C ad I L; </s>
            <s xml:id="echoid-s11222" xml:space="preserve">eſtquè A C maior
              <lb/>
            quàm I L in prima ellipſi; </s>
            <s xml:id="echoid-s11223" xml:space="preserve">ergo multò
              <lb/>
            magis I K maior erit quàm A F. </s>
            <s xml:id="echoid-s11224" xml:space="preserve">Pari ratione in eadem prima ellipſi rectan-
              <lb/>
            gulum L I K minus eſt rectangulo T S Z, & </s>
            <s xml:id="echoid-s11225" xml:space="preserve">I L axi maiori propinquior ma-
              <lb/>
            ior eſt, quàm S T; </s>
            <s xml:id="echoid-s11226" xml:space="preserve">ergo S Z maior erit, quàm I K.</s>
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            <s xml:id="echoid-s11228" xml:space="preserve">E contra in ſecunda ellipſi rectangulum L I K minus erit rectangulo C A F;
              <lb/>
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            <s xml:id="echoid-s11229" xml:space="preserve">
              <note position="right" xlink:label="note-0351-03" xlink:href="note-0351-03a" xml:space="preserve">Ibidem.</note>
            & </s>
            <s xml:id="echoid-s11230" xml:space="preserve">rectangulum T S Z minus erit rectangulo L I K; </s>
            <s xml:id="echoid-s11231" xml:space="preserve">eſtquè T S maior quàm
              <lb/>
            I L, & </s>
            <s xml:id="echoid-s11232" xml:space="preserve">I L maior, quàm A C; </s>
            <s xml:id="echoid-s11233" xml:space="preserve">igitur reciprocè A F maior erit, quàm I K,
              <lb/>
            & </s>
            <s xml:id="echoid-s11234" xml:space="preserve">I K maior, quàm S Z.</s>
            <s xml:id="echoid-s11235" xml:space="preserve"/>
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