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-div941" type="section" level="1" n="296">
          <pb o="310" file="0348" n="349" rhead="Apollonij Pergęi"/>
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        <div xml:id="echoid-div945" type="section" level="1" n="297">
          <head xml:id="echoid-head368" xml:space="preserve">Notę in Propoſit. XXXXII.</head>
          <p>
            <s xml:id="echoid-s11101" xml:space="preserve">E Rit igitur aggregatum A C, Q R minus quàm aggregatum I L, N
              <lb/>
              <note position="right" xlink:label="note-0348-01" xlink:href="note-0348-01a" xml:space="preserve">d</note>
            O, &</s>
            <s xml:id="echoid-s11102" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11103" xml:space="preserve">Hoc oſtenſum eſt in nota propoſit. </s>
            <s xml:id="echoid-s11104" xml:space="preserve">27. </s>
            <s xml:id="echoid-s11105" xml:space="preserve">huius.</s>
            <s xml:id="echoid-s11106" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s11107" xml:space="preserve">At in ellipſi, quia A C ad Q R maiorem proportionem habet, quàm
              <lb/>
            I L ad N O, erit quadratum aggregati A C, Q R ad ſummam duorum
              <lb/>
              <note position="right" xlink:label="note-0348-02" xlink:href="note-0348-02a" xml:space="preserve">e</note>
              <figure xlink:label="fig-0348-01" xlink:href="fig-0348-01a" number="411">
                <image file="0348-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0348-01"/>
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            quadratorum ipſarum in maiori proportione, quàm quadratum aggregati
              <lb/>
            I L, N O ad ſummam duorum quadratorum earundem, & </s>
            <s xml:id="echoid-s11108" xml:space="preserve">ſumma duo-
              <lb/>
            rum quadratorum ipſarum, &</s>
            <s xml:id="echoid-s11109" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11110" xml:space="preserve">Fiat A R ęqualis duabus A C & </s>
            <s xml:id="echoid-s11111" xml:space="preserve">Q R,
              <lb/>
            I O fiat ęqualis duabus I L, & </s>
            <s xml:id="echoid-s11112" xml:space="preserve">N O ; </s>
            <s xml:id="echoid-s11113" xml:space="preserve">atquè ſecetur A R in m, vt ſit A m
              <lb/>
              <note position="left" xlink:label="note-0348-03" xlink:href="note-0348-03a" xml:space="preserve">Prop. 21.
                <lb/>
              hu us.</note>
            ad m R, vt I L ad L O. </s>
            <s xml:id="echoid-s11114" xml:space="preserve">Quia in prima ellipſi A C ad Q R, vel ad C R
              <lb/>
            (in hac figura) maiorem proportionem habet, quàm I L ad N O, ſeu ad L O (in
              <lb/>
              <figure xlink:label="fig-0348-02" xlink:href="fig-0348-02a" number="412">
                <image file="0348-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0348-02"/>
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            pręſenti figura); </s>
            <s xml:id="echoid-s11115" xml:space="preserve">Ergo A C ad C R
              <lb/>
            maiorem proportionem habet, quàm
              <lb/>
            A m ad m R; </s>
            <s xml:id="echoid-s11116" xml:space="preserve">ideoq; </s>
            <s xml:id="echoid-s11117" xml:space="preserve">A C ad ean-
              <lb/>
              <note position="left" xlink:label="note-0348-04" xlink:href="note-0348-04a" xml:space="preserve">Lem. 2.
                <lb/>
              lib. 5.</note>
            dem A R maiorem proportionem ha-
              <lb/>
            bebit quàm A m; </s>
            <s xml:id="echoid-s11118" xml:space="preserve">& </s>
            <s xml:id="echoid-s11119" xml:space="preserve">propterea A m
              <lb/>
            minor erit, quàm A C : </s>
            <s xml:id="echoid-s11120" xml:space="preserve">ſed A m
              <lb/>
              <figure xlink:label="fig-0348-03" xlink:href="fig-0348-03a" number="413">
                <image file="0348-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0348-03"/>
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            maior eſt quàm M R, eo quod I L
              <lb/>
            priori homologa maior eſt, quàm L
              <lb/>
            O : </s>
            <s xml:id="echoid-s11121" xml:space="preserve">at in ſecunda ellipſi A C ad C R
              <lb/>
            minorem proportionem habet, </s>
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