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-div909" type="section" level="1" n="283">
          <head xml:id="echoid-head353" xml:space="preserve">Notæ in Propoſit. XXIX.</head>
          <p style="it">
            <s xml:id="echoid-s10731" xml:space="preserve">QVoniam in hyperbola differentia quadratorum ex axi A C, & </s>
            <s xml:id="echoid-s10732" xml:space="preserve">ex axi Q
              <lb/>
              <note position="right" xlink:label="note-0333-01" xlink:href="note-0333-01a" xml:space="preserve">12. huius.</note>
            R æqualis eſt differentiæ inter quadratum I L à quadrato eius coniugatæ
              <lb/>
            N O; </s>
            <s xml:id="echoid-s10733" xml:space="preserve">eſtque Q R media proportionalis inter ſiguræ latera A C, & </s>
            <s xml:id="echoid-s10734" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0333-02" xlink:href="note-0333-02a" xml:space="preserve">16. lib. 1.</note>
            A F; </s>
            <s xml:id="echoid-s10735" xml:space="preserve">ergo rectangulum C A F ſub extremis contentum æquale eſt quadrato in-
              <lb/>
            termediæ Q R: </s>
            <s xml:id="echoid-s10736" xml:space="preserve">Et propterea differentia inter quadratum A C, & </s>
            <s xml:id="echoid-s10737" xml:space="preserve">rectangu-
              <lb/>
            lum C A F æqualis erit differentiæ inter quadratum A C à quadrato Q R.
              <lb/>
            </s>
            <s xml:id="echoid-s10738" xml:space="preserve">
              <figure xlink:label="fig-0333-01" xlink:href="fig-0333-01a" number="386">
                <image file="0333-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0333-01"/>
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            pari ratione erit differentia quadrati I L à rectangulo L I P æqualis differen-
              <lb/>
            tiæ quadrati I L à quadrato N O; </s>
            <s xml:id="echoid-s10739" xml:space="preserve">& </s>
            <s xml:id="echoid-s10740" xml:space="preserve">propterea in hyperbole differentia qua-
              <lb/>
            drati axis A C à rectangulo ſub figuræ lateribus contentum C A F æqualis
              <lb/>
            eſt differentiæ quadrati diametri I L à rectangulo L I P ſub lateribus figuræ
              <lb/>
            eius.</s>
            <s xml:id="echoid-s10741" xml:space="preserve"/>
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        <div xml:id="echoid-div911" type="section" level="1" n="284">
          <head xml:id="echoid-head354" xml:space="preserve">Notæ in Propoſit. XXX.</head>
          <p style="it">
            <s xml:id="echoid-s10742" xml:space="preserve">QVoniam in ellipſi quadratorum ex A C, & </s>
            <s xml:id="echoid-s10743" xml:space="preserve">ex Q R ſumma æqualis eſt
              <lb/>
              <note position="right" xlink:label="note-0333-03" xlink:href="note-0333-03a" xml:space="preserve">Prop. 13.
                <lb/>
              huius.
                <lb/>
              ex 15.
                <lb/>
              lib. 1.</note>
            ſummæ quadratorum ex I L, & </s>
            <s xml:id="echoid-s10744" xml:space="preserve">ex N O: </s>
            <s xml:id="echoid-s10745" xml:space="preserve">eſtque rectangulum C A F
              <lb/>
            æquale quadrato Q R, & </s>
            <s xml:id="echoid-s10746" xml:space="preserve">rectangulum L I P æquale quadrato N O
              <lb/>
            (vt in præcedenti nota dictum eſt) igitur in ellipſi quadratum axis A C, & </s>
            <s xml:id="echoid-s10747" xml:space="preserve">
              <lb/>
            rectangulum C A F ſub eius lateribus cõtentum ſimul ſumpta æqualia ſunt qua-
              <lb/>
            drato ex I L cum rectangulo figuræ eius L I P.</s>
            <s xml:id="echoid-s10748" xml:space="preserve"/>
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