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-s11548" xml:space="preserve">
              <pb o="327" file="0365" n="366" rhead="Conicor. Lib. VII."/>
            figuræ I L. </s>
            <s xml:id="echoid-s11549" xml:space="preserve">Simili modo eſtendetur, quod duo latera figuræ I L minora
              <lb/>
            ſunt, quàm duo latera figuræ A C.</s>
            <s xml:id="echoid-s11550" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11551" xml:space="preserve">Educamus poſtea C X extra ſegmentum A N; </s>
            <s xml:id="echoid-s11552" xml:space="preserve">& </s>
            <s xml:id="echoid-s11553" xml:space="preserve">educamus diametrũ
              <lb/>
            S T ei parallelam, & </s>
            <s xml:id="echoid-s11554" xml:space="preserve">ad axim perpendicularem X V, erit aggregatum.
              <lb/>
            </s>
            <s xml:id="echoid-s11555" xml:space="preserve">G V, M H in M H quater ſumptum maius quàm quadratum C m; </s>
            <s xml:id="echoid-s11556" xml:space="preserve">& </s>
            <s xml:id="echoid-s11557" xml:space="preserve">ad-
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            damus communiter aggregatuin M H, G V in M H quater ſumptum; </s>
            <s xml:id="echoid-s11558" xml:space="preserve">
              <lb/>
            oſtendetur vt antea, quod duo latera ſiguræ S T maiora ſunt, quàm duo
              <lb/>
            latera figuræ P Q.</s>
            <s xml:id="echoid-s11559" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11560" xml:space="preserve">Oſtendetur quoque in reliquis diametris cadentibus ad vtraſque par-
              <lb/>
            tes ipſius P Q in eadem ſectione, quod duo latera ſiguræ diametri ipſi
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            P Q proximioris minora ſunt, quàm duo latera figuræ remotioris.</s>
            <s xml:id="echoid-s11561" xml:space="preserve"/>
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        <div xml:id="echoid-div990" type="section" level="1" n="313">
          <head xml:id="echoid-head388" xml:space="preserve">In Sectionem VII. Propoſit: XXXVIII.
            <lb/>
          XXXIX. & XXXX.
            <lb/>
          LEMMA VI.</head>
          <p style="it">
            <s xml:id="echoid-s11562" xml:space="preserve">S I recta linea H G bifariam ſecta in D producatur vtcumque ad A,
              <lb/>
            @ E, ita vt D H non maior ſit quàm H E, vel H A, @
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            E D maior ſit, quàm D A: </s>
            <s xml:id="echoid-s11563" xml:space="preserve">dico rectangulum ſub E D A in H A
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            maius eſſe quadrato D A.</s>
            <s xml:id="echoid-s11564" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11565" xml:space="preserve">Quia E D maior ad minorem
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            D A habet maiorem proportionem,
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            quàm D H non maior ipſa H A,
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            ad H A, ergo componendo E D A
              <lb/>
            ad D A maiorem proportionem ha-
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            bet, quàm D A ad A H, & </s>
            <s xml:id="echoid-s11566" xml:space="preserve">pro-
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            pterea rectangulum ſub extremis contentum, ſcilicet ſub E D A in A H, ma-
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            ins eſt quadrato D A.</s>
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        <div xml:id="echoid-div992" type="section" level="1" n="314">
          <head xml:id="echoid-head389" xml:space="preserve">LEMMA VII.</head>
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            <s xml:id="echoid-s11568" xml:space="preserve">I Iſdem poſitis, ſi D H
              <lb/>
              <figure xlink:label="fig-0365-02" xlink:href="fig-0365-02a" number="434">
                <image file="0365-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0365-02"/>
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            non minor fuerit quàm
              <lb/>
            H A, vel H E, ſitque
              <lb/>
            H E maior, quàm H A:
              <lb/>
            </s>
            <s xml:id="echoid-s11569" xml:space="preserve">dico rectangulam ſub E D
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            A in A H minus eſſe quadrato D A.</s>
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