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="41" file="0079" n="79" rhead="Conicor. Lib. V."/>
              <figure xlink:label="fig-0079-01" xlink:href="fig-0079-01a" number="55">
                <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0079-01"/>
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            auferatur in ellipſi; </s>
            <s xml:id="echoid-s2051" xml:space="preserve">quare C A ad A L non habet maiorem proportionem, quàm
              <lb/>
            ad A D, & </s>
            <s xml:id="echoid-s2052" xml:space="preserve">componendo in hyperbola, & </s>
            <s xml:id="echoid-s2053" xml:space="preserve">diuidendo in ellipſi C L ad A L, non
              <lb/>
            habet maiorem proportionem, quàm C D ad D A, ſed C D ad A D minorem
              <lb/>
            proportionem habet, quam ad eius ſegmentum I D, ergo diuidendo in hyperbo-
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            la, & </s>
            <s xml:id="echoid-s2054" xml:space="preserve">componendo in ellipſi habebit A C ad A D, & </s>
            <s xml:id="echoid-s2055" xml:space="preserve">adhuc ad A L, ſeu A H
              <lb/>
            minorem proportionem, quàm C I ad I D, habet verò C I ad I D minorem ra-
              <lb/>
            tionem, quàm ad eius ſegmentum I F; </s>
            <s xml:id="echoid-s2056" xml:space="preserve">igitur C I ad I F maiorem proportionem
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            habet, quàm C A ad A H.</s>
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        <div xml:id="echoid-div172" type="section" level="1" n="70">
          <head xml:id="echoid-head102" xml:space="preserve">Notæ in Propoſit. LI.</head>
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            <s xml:id="echoid-s2058" xml:space="preserve">DIco quod nul-
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              <note position="left" xlink:label="note-0079-01" xlink:href="note-0079-01a" xml:space="preserve">a</note>
              <figure xlink:label="fig-0079-02" xlink:href="fig-0079-02a" number="56">
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            lus ramus bre
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            uiſecans duci po-
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            teſt, &</s>
            <s xml:id="echoid-s2059" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2060" xml:space="preserve">Dico, quod
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            ex concurſu E ad ſe-
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            ctionem nullus ra-
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            musbreuiſecans duci
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            poteſt.</s>
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            <s xml:id="echoid-s2062" xml:space="preserve">Quoniam D E
              <lb/>
              <note position="left" xlink:label="note-0079-02" xlink:href="note-0079-02a" xml:space="preserve">b</note>
            maior eſt, quàm H,
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            &</s>
            <s xml:id="echoid-s2063" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2064" xml:space="preserve">Quoniam D E
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            maior eſt, quàm H
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            habebit E D ad B G
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            maiorem rationem,
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            quàm H ad eandem
              <lb/>
            B G; </s>
            <s xml:id="echoid-s2065" xml:space="preserve">poſita autem fuit
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            inuersè G F ad F D,
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            vt H ad B G; </s>
            <s xml:id="echoid-s2066" xml:space="preserve">ergo E D
              <lb/>
            ad B G maiorem ra-
              <lb/>
            tionem habet, quàm
              <lb/>
            G F ad F D; </s>
            <s xml:id="echoid-s2067" xml:space="preserve">& </s>
            <s xml:id="echoid-s2068" xml:space="preserve"/>
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