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="333" file="0371" n="372" rhead="Conicor. Lib. VII."/>
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        <div xml:id="echoid-div1009" type="section" level="1" n="319">
          <head xml:id="echoid-head394" xml:space="preserve">SECTIO OCTAVA</head>
          <head xml:id="echoid-head395" xml:space="preserve">Continens Propoſit. XXXXIIII. XXXXV.
            <lb/>
          & XXXXVI.</head>
          <p>
            <s xml:id="echoid-s11684" xml:space="preserve">IN hyperbole ſi quadratum axis inclinati minus non fuerit di-
              <lb/>
            midio quadrati ex differentia ipſius, & </s>
            <s xml:id="echoid-s11685" xml:space="preserve">ſui erecti, vtique
              <lb/>
            quadratum diametri figuræ eius minus eſt, quàm quadratum
              <lb/>
            diametri figuræ cuiuſcumque alterius inclinati eiuſdem ſectionis.</s>
            <s xml:id="echoid-s11686" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11687" xml:space="preserve">XXXXVI. </s>
            <s xml:id="echoid-s11688" xml:space="preserve">Si verò minus fuerit cadent ad vtraſque partes
              <lb/>
            eius duæ inter ſe æquales diametri, quarum vniuscuiuſlibet qua-
              <lb/>
            dratum æquale eſt quadrato exceſſus ſui erecti, & </s>
            <s xml:id="echoid-s11689" xml:space="preserve">quadratum
              <lb/>
            diametri figuræ ipſius minus eſt quàm quadratum diametri figu-
              <lb/>
            ræ cuiuſlibet alterius inclinati ad vtraſque eius partes cadentis:
              <lb/>
            </s>
            <s xml:id="echoid-s11690" xml:space="preserve">& </s>
            <s xml:id="echoid-s11691" xml:space="preserve">diameter figuræ inclinati proximioris illi minor eſt quàm dia-
              <lb/>
            meter figuræ inclinati remotioris.</s>
            <s xml:id="echoid-s11692" xml:space="preserve"/>
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          <figure number="441">
            <image file="0371-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0371-01"/>
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          <p>
            <s xml:id="echoid-s11693" xml:space="preserve">Iiſdem figuris manentibus ſupponatur prius A C non minor quàm A Demonſt
              <lb/>
            F; </s>
            <s xml:id="echoid-s11694" xml:space="preserve">ergo P Q non erit minor quàm P R (28. </s>
            <s xml:id="echoid-s11695" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s11696" xml:space="preserve">& </s>
            <s xml:id="echoid-s11697" xml:space="preserve">duo quadrata A prop. </s>
            <s xml:id="echoid-s11698" xml:space="preserve">44.
              <lb/>
            </s>
            <s xml:id="echoid-s11699" xml:space="preserve">C, A F nempe diameter figuræ A C minor eſt quàm diameter figuræ </s>
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