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="297" file="0335" n="336" rhead="Conicor. Lib. VII."/>
            indirectum additur S C,
              <lb/>
              <figure xlink:label="fig-0335-01" xlink:href="fig-0335-01a" number="388">
                <image file="0335-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0335-01"/>
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            erit rectangulum M C S
              <lb/>
            cum quadrato ex A S, ſeu
              <lb/>
            ex Q R æquale quadrato
              <lb/>
            ipſius A C; </s>
            <s xml:id="echoid-s10775" xml:space="preserve">ergo rectangu-
              <lb/>
            lum M C S æquale eſt dif-
              <lb/>
            ferentiæ quadrati A C à
              <lb/>
            quadrato Q R: </s>
            <s xml:id="echoid-s10776" xml:space="preserve">pariratione
              <lb/>
            rectangulum K L T vna
              <lb/>
            cum quadrato N O æquale
              <lb/>
            erit quadrato I L: </s>
            <s xml:id="echoid-s10777" xml:space="preserve">ergo ſi-
              <lb/>
            militer rectangulum K L T æquale eſt differentiæ quadratorum ex I L, & </s>
            <s xml:id="echoid-s10778" xml:space="preserve">ex
              <lb/>
            N O; </s>
            <s xml:id="echoid-s10779" xml:space="preserve">eſtquè quadratum I L maius quadrato A C, cum diameter I L in hyper-
              <lb/>
            bola maior ſit, quàm axis C A; </s>
            <s xml:id="echoid-s10780" xml:space="preserve">igitur rectangulum K L T vna cum quadrato
              <lb/>
            N O maius erit rectangulo M C S vna cum quadrato Q R: </s>
            <s xml:id="echoid-s10781" xml:space="preserve">eſt verò rectangu-
              <lb/>
            lum M C S æquale rectangulo K L T (cum ſint differentiæ quadratorum ex con-
              <lb/>
              <note position="right" xlink:label="note-0335-01" xlink:href="note-0335-01a" xml:space="preserve">Prop. 12.
                <lb/>
              huius.</note>
            iugatis diametris, quæ in hyperbola oſtenſæ ſunt æquales); </s>
            <s xml:id="echoid-s10782" xml:space="preserve">ergo quadratum N
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              <figure xlink:label="fig-0335-02" xlink:href="fig-0335-02a" number="389">
                <image file="0335-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0335-02"/>
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            O, ſcilicet reſiduum maioris ſummæ, maius erit quadrato Q R, quod eſt reſi-
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            duum ſummæ minoris: </s>
            <s xml:id="echoid-s10783" xml:space="preserve">& </s>
            <s xml:id="echoid-s10784" xml:space="preserve">propterea N O maior erit, quàm Q R: </s>
            <s xml:id="echoid-s10785" xml:space="preserve">erat autem
              <lb/>
            I L maior quàm C A; </s>
            <s xml:id="echoid-s10786" xml:space="preserve">igitur I L cum N O, ſeu K L maior erit, quàm A C,
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            & </s>
            <s xml:id="echoid-s10787" xml:space="preserve">Q R ſimul, ſiue quàm M C: </s>
            <s xml:id="echoid-s10788" xml:space="preserve">ſed in rectangulis M C S, & </s>
            <s xml:id="echoid-s10789" xml:space="preserve">K L T æquali-
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            bus, vt K L ad M C, ita reciprocè C S ad L T; </s>
            <s xml:id="echoid-s10790" xml:space="preserve">igitur C S, ſeu differentia
              <lb/>
            ipſarum A C, & </s>
            <s xml:id="echoid-s10791" xml:space="preserve">Q R maior eſt, quàm L T, ſeu differentia ipſarum I L, & </s>
            <s xml:id="echoid-s10792" xml:space="preserve">
              <lb/>
            N O in hyperbola.</s>
            <s xml:id="echoid-s10793" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s10794" xml:space="preserve">Si poſtea præter I L ponatur alia diameter ab axe remotior cum ſua coniu-
              <lb/>
            gata erit ſimiliter differentia quadratorum ex diametris coniugatis remotiori-
              <lb/>
            bus ab axi æqualis differentiæ quadratorum axium A C, & </s>
            <s xml:id="echoid-s10795" xml:space="preserve">Q R, & </s>
            <s xml:id="echoid-s10796" xml:space="preserve"/>
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