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="304" file="0342" n="343" rhead="Apollonij Pergæi."/>
            libet caſu maior erit differentia I L, eiuſque erecti. </s>
            <s xml:id="echoid-s10939" xml:space="preserve">Pari modo oſtende-
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            tur quod differentia ipſius I L, & </s>
            <s xml:id="echoid-s10940" xml:space="preserve">eius erecti maior ſit differentia ipſius S
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            T, eiuſque erecti. </s>
            <s xml:id="echoid-s10941" xml:space="preserve">Et hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head364" xml:space="preserve">PROPOSITIO XXXVII.</head>
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              <emph style="sc">In</emph>
            hyperbole differentia la-
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            terum figuræ axis inclinati
              <lb/>
            maior eſt differentia laterũ figu-
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            rę ſui homologi eiuſdẽ ſectionis:
              <lb/>
            </s>
            <s xml:id="echoid-s10944" xml:space="preserve">& </s>
            <s xml:id="echoid-s10945" xml:space="preserve">differẽtia laterum figuræ in-
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            clinati proximioris axi maior
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            eſt differentia laterum figuræ
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            inclinati ab illo remotioris.</s>
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            <s xml:id="echoid-s10947" xml:space="preserve">In hyperbole A B P ſit axis C
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            A, & </s>
            <s xml:id="echoid-s10948" xml:space="preserve">I L, S T ſit duæ aliæ dia-
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            metri, & </s>
            <s xml:id="echoid-s10949" xml:space="preserve">centrum D; </s>
            <s xml:id="echoid-s10950" xml:space="preserve">atque ere-
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            ctus ipſius A C ſit A F, & </s>
            <s xml:id="echoid-s10951" xml:space="preserve">ipſius
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            I L ſit I K, atque ipſius S T ſit S
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            Z: </s>
            <s xml:id="echoid-s10952" xml:space="preserve">& </s>
            <s xml:id="echoid-s10953" xml:space="preserve">educamus C B, C P, pa-
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            rallelas duabus homologis diame-
              <lb/>
            tris I L, S T, & </s>
            <s xml:id="echoid-s10954" xml:space="preserve">duas ad axim
              <lb/>
            perpendiculares B E, P M, ſece-
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            muſque duas interceptas C H, A
              <lb/>
            G, & </s>
            <s xml:id="echoid-s10955" xml:space="preserve">ſit inclinatus A C in prima
              <lb/>
            figura maior, quàm A F, in ſecũ-
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            da verò minor. </s>
            <s xml:id="echoid-s10956" xml:space="preserve">Et quoniam A C
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            ad A F ſupponitur vt H A ad A G
              <lb/>
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                <image file="0342-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0342-02"/>
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            </s>
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