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-div884" type="section" level="1" n="271">
          <pb o="287" file="0325" n="325" rhead="Conicor. Lib. VII."/>
        </div>
        <div xml:id="echoid-div886" type="section" level="1" n="272">
          <head xml:id="echoid-head341" xml:space="preserve">Notæ in Propoſit. X.</head>
          <p style="it">
            <s xml:id="echoid-s10535" xml:space="preserve">SIue ad I L in N O erit vt C G ad H V, &</s>
            <s xml:id="echoid-s10536" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10537" xml:space="preserve">Quia I L ad N O habe-
              <lb/>
              <note position="left" xlink:label="note-0325-01" xlink:href="note-0325-01a" xml:space="preserve">d</note>
            bat eandem proportionem, quàm E H ad H V poſitis communibus altitudi-
              <lb/>
            nibus I L, & </s>
            <s xml:id="echoid-s10538" xml:space="preserve">E H habebit quadratum I L ad rectangulum I L in N O eandẽ
              <lb/>
            proportionem, quàm quadratum E H ad rectangulum E H in H V; </s>
            <s xml:id="echoid-s10539" xml:space="preserve">ſed qua-
              <lb/>
              <note position="right" xlink:label="note-0325-02" xlink:href="note-0325-02a" xml:space="preserve">ex prop. 8.
                <lb/>
              huius.</note>
            dratum A C ad quadratum I L habebat eandem proportionem, quàm rectangu-
              <lb/>
            lum C G in E H ad quadratum E H; </s>
            <s xml:id="echoid-s10540" xml:space="preserve">ergo ex æqualitate quadratum A C ad
              <lb/>
            rectangulum ſub I L in N O eandem proportionem habet, quàm rectangulum
              <lb/>
            C G in H E ad rectangulum E H in H V, ſiue quàm habet C G, ad H V.</s>
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          <figure number="377">
            <image file="0325-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0325-01"/>
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        <div xml:id="echoid-div888" type="section" level="1" n="273">
          <head xml:id="echoid-head342" xml:space="preserve">Notæ in Propoſit. XI.</head>
          <p style="it">
            <s xml:id="echoid-s10542" xml:space="preserve">SIue ad duorum quadratorum I L, N O ſummam erit vt C G ad ſum-
              <lb/>
              <note position="left" xlink:label="note-0325-03" xlink:href="note-0325-03a" xml:space="preserve">e</note>
            mam G E, & </s>
            <s xml:id="echoid-s10543" xml:space="preserve">E H, &</s>
            <s xml:id="echoid-s10544" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10545" xml:space="preserve">Quia quadratum I L ad quadratum N O erat,
              <lb/>
            vt H E ad E G, antecedentes ad ſummas terminorum erunt proportionales,
              <lb/>
            ſcilicet quadratum I L ad quadratum I L ſimul cum quadrato N O eandem pro-
              <lb/>
              <note position="right" xlink:label="note-0325-04" xlink:href="note-0325-04a" xml:space="preserve">Prop. 8.
                <lb/>
              huius.</note>
            portionem babebit, quàm H E ad ſummam ipſarum H E, & </s>
            <s xml:id="echoid-s10546" xml:space="preserve">E G; </s>
            <s xml:id="echoid-s10547" xml:space="preserve">erat au-
              <lb/>
            tem quadratum C A ad quadratum I L, vt C G ad E H; </s>
            <s xml:id="echoid-s10548" xml:space="preserve">ergo ex æqualitate
              <lb/>
            quadratum A C ad quadrata ex I L, & </s>
            <s xml:id="echoid-s10549" xml:space="preserve">ex N O ſimul ſumpta eandem pro-
              <lb/>
            portionem babebit, quàm C G, vel H A ad ſummam ipſarum H E, & </s>
            <s xml:id="echoid-s10550" xml:space="preserve">G E.</s>
            <s xml:id="echoid-s10551" xml:space="preserve"/>
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