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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            <s xml:id="echoid-s11178" xml:space="preserve">Q Via A C ad Q R maiorem pro-
              <lb/>
              <note position="right" xlink:label="note-0350-01" xlink:href="note-0350-01a" xml:space="preserve">g</note>
              <figure xlink:label="fig-0350-01" xlink:href="fig-0350-01a" number="415">
                <image file="0350-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0350-01"/>
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            portionem habet, quàm I L
              <lb/>
            ad N O poſt cõuerſionem
              <lb/>
            rationis, & </s>
            <s xml:id="echoid-s11179" xml:space="preserve">permutationem A C ma-
              <lb/>
            ior ad I L, minorem, habebit pro-
              <lb/>
            portionem minorem, quàm exceſſus
              <lb/>
            A C ſuper Q R ad exceſſum I L ſu-
              <lb/>
            per N O, &</s>
            <s xml:id="echoid-s11180" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11181" xml:space="preserve">Hoc quidem verum
              <lb/>
            eſt in ellipſi, (veluti dictum eſt ad
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s11182" xml:space="preserve">28. </s>
            <s xml:id="echoid-s11183" xml:space="preserve">huius) quandò maior axis
              <lb/>
            eſt A C, ſed quandò A C eſt minor,
              <lb/>
            atque A C ad Q R minorem proportio-
              <lb/>
            nem habet, quàm I L ad N O, opere
              <lb/>
            prætium erit, demonſtrare, quod tunc
              <lb/>
            etiam differentia axium A C, & </s>
            <s xml:id="echoid-s11184" xml:space="preserve">Q R
              <lb/>
            maior ſit differentia diametrorum I L,
              <lb/>
            & </s>
            <s xml:id="echoid-s11185" xml:space="preserve">N O. </s>
            <s xml:id="echoid-s11186" xml:space="preserve">Quoniam exiſtente C A mi-
              <lb/>
            nore, quàm Q R (ex 28. </s>
            <s xml:id="echoid-s11187" xml:space="preserve">huius) A C
              <lb/>
            ad Q R minorem proportionem habet,
              <lb/>
            quàm I L ad N O; </s>
            <s xml:id="echoid-s11188" xml:space="preserve">& </s>
            <s xml:id="echoid-s11189" xml:space="preserve">inuertendo Q R
              <lb/>
            ad A C maiorem proportionem habebit,
              <lb/>
            qu àm N O ad I L, & </s>
            <s xml:id="echoid-s11190" xml:space="preserve">per conuerſioné
              <lb/>
            rationis Q R ad differentiam ipſarum
              <lb/>
            Q R, & </s>
            <s xml:id="echoid-s11191" xml:space="preserve">A C minorem proportionem
              <lb/>
            habebit, quàm N O ad differentiam ipſarum N O, & </s>
            <s xml:id="echoid-s11192" xml:space="preserve">I L; </s>
            <s xml:id="echoid-s11193" xml:space="preserve">& </s>
            <s xml:id="echoid-s11194" xml:space="preserve">permutando Q
              <lb/>
            R maior ad minorem N O habebit proportionem minorem, quàm differentia
              <lb/>
            ipſarum Q R, & </s>
            <s xml:id="echoid-s11195" xml:space="preserve">A C ad differentiam ipſarum N O, & </s>
            <s xml:id="echoid-s11196" xml:space="preserve">I L: </s>
            <s xml:id="echoid-s11197" xml:space="preserve">& </s>
            <s xml:id="echoid-s11198" xml:space="preserve">propterea
              <lb/>
            differentia ipſarum Q R, & </s>
            <s xml:id="echoid-s11199" xml:space="preserve">A C maior erit, quàm differentia ipſarum N O,
              <lb/>
            & </s>
            <s xml:id="echoid-s11200" xml:space="preserve">I L.</s>
            <s xml:id="echoid-s11201" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11202" xml:space="preserve">Poſtea quandò C A eſt maior axis, tunc I L ad N O maiorem proportionem
              <lb/>
              <note position="left" xlink:label="note-0350-02" xlink:href="note-0350-02a" xml:space="preserve">28. huius.</note>
            habet, quàm S T ad V X; </s>
            <s xml:id="echoid-s11203" xml:space="preserve">& </s>
            <s xml:id="echoid-s11204" xml:space="preserve">ſimiliter per conuerſionem rationis, & </s>
            <s xml:id="echoid-s11205" xml:space="preserve">permu-
              <lb/>
            tando maior I L ad minorem S D habebit minorem proportionem, quàm diffe-
              <lb/>
            rentia coniugatarum diametrorum I L, & </s>
            <s xml:id="echoid-s11206" xml:space="preserve">N O ad differentiam coniugatarum
              <lb/>
            S T, & </s>
            <s xml:id="echoid-s11207" xml:space="preserve">V X, quapropter axi propinquiorum diametrorum I L, & </s>
            <s xml:id="echoid-s11208" xml:space="preserve">N O diffe-
              <lb/>
            rentia maior erit, quàm remotiorum coniugatarum S T, & </s>
            <s xml:id="echoid-s11209" xml:space="preserve">V X differentia.</s>
            <s xml:id="echoid-s11210" xml:space="preserve"/>
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            <s xml:id="echoid-s11211" xml:space="preserve">E contra quandò C A eſt axis minor idem concludetur, vti paulo ante fa-
              <lb/>
            ctum eſt.</s>
            <s xml:id="echoid-s11212" xml:space="preserve"/>
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