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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        <div xml:id="echoid-div1066" type="section" level="1" n="336">
          <head xml:id="echoid-head415" xml:space="preserve">SECTIO DECIMA</head>
          <head xml:id="echoid-head416" xml:space="preserve">Continens Propoſit. XXXXIX. XXXXX.
            <lb/>
          & XXXXXI.</head>
          <p>
            <s xml:id="echoid-s12374" xml:space="preserve">XXXXXI. </s>
            <s xml:id="echoid-s12375" xml:space="preserve">IN hyperbola, & </s>
            <s xml:id="echoid-s12376" xml:space="preserve">ellipſi, ſi axis tranſuerſus minor
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            fuerit ſuo erecto, differentia quadratorum duorum
              <lb/>
              <note position="right" xlink:label="note-0396-01" xlink:href="note-0396-01a" xml:space="preserve">a</note>
            laterum figuræ axis eius maior eſt, quàm differentia quadrato-
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            rum laterum figuræ cuiuslibet alterius diametri ei homologæ. </s>
            <s xml:id="echoid-s12377" xml:space="preserve">Et
              <lb/>
            differentia quadratorum laterum figure homologæ proximioris
              <lb/>
            axi ſemper maior eſt in hyperbola, quàm differentia quadratorum
              <lb/>
            laterum figuræ remotioris: </s>
            <s xml:id="echoid-s12378" xml:space="preserve">at in ellypſi quouſque diameter tran-
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            ſuerſa æqualis non fiat ſuo erecto.</s>
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            <s xml:id="echoid-s12380" xml:space="preserve">XXXXX. </s>
            <s xml:id="echoid-s12381" xml:space="preserve">Et in hyperbola differentia quadrati axis inclinati
              <lb/>
            ab eius figura minor erit ſemidifferentia quadratorum duorum
              <lb/>
            laterum figuræ ſui homologi.</s>
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          <figure number="467">
            <image file="0396-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0396-01"/>
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            <s xml:id="echoid-s12383" xml:space="preserve">XXXXIX. </s>
            <s xml:id="echoid-s12384" xml:space="preserve">Si verò in hyperbole axis inclinatus maior fuerit
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            ſuo erecto, vtique differentia quadratorum duorum laterum fi-
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            guræ axis minor erit differentia quadratorum laterum figuræ </s>
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