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="332" file="0370" n="371" rhead="Apollonij Pergæi"/>
            æquale quadrato D A, & </s>
            <s xml:id="echoid-s11661" xml:space="preserve">ſumma laterum b a c æqualis erit laterum figuræ
              <lb/>
              <note position="left" xlink:label="note-0370-01" xlink:href="note-0370-01a" xml:space="preserve">Lem. 8.</note>
              <note position="left" xlink:label="note-0370-02" xlink:href="note-0370-02a" xml:space="preserve">Lem. 9.</note>
            axis ſummæ C A F.</s>
            <s xml:id="echoid-s11662" xml:space="preserve"/>
          </p>
          <figure number="439">
            <image file="0370-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0370-01"/>
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          <p style="it">
            <s xml:id="echoid-s11663" xml:space="preserve">In eadem hyperbola data diametro I L reperire aliam diametrum, ita v@
              <lb/>
              <note position="left" xlink:label="note-0370-03" xlink:href="note-0370-03a" xml:space="preserve">PROP. 4.
                <lb/>
              Addit.</note>
            eius figuræ latera æqualia ſint lateribus figuræ datæ diametri I L: </s>
            <s xml:id="echoid-s11664" xml:space="preserve">oportet au-
              <lb/>
            tem vt I L cadat inter axim, & </s>
            <s xml:id="echoid-s11665" xml:space="preserve">diametrum P Q ſubtriplam eius erecti. </s>
            <s xml:id="echoid-s11666" xml:space="preserve">Sit
              <lb/>
              <note position="left" xlink:label="note-0370-04" xlink:href="note-0370-04a" xml:space="preserve">ex 40.
                <lb/>
              huius.</note>
            C E latus diametri I L, & </s>
            <s xml:id="echoid-s11667" xml:space="preserve">C M, ſit latus diametri P Q, & </s>
            <s xml:id="echoid-s11668" xml:space="preserve">quia punctum
              <lb/>
            E cadit inter M, & </s>
            <s xml:id="echoid-s11669" xml:space="preserve">A, erit H E minor, quàm H M, vel D H: </s>
            <s xml:id="echoid-s11670" xml:space="preserve">fiat V E
              <lb/>
              <note position="left" xlink:label="note-0370-05" xlink:href="note-0370-05a" xml:space="preserve">Lem. 8.</note>
            ad E D, vt M E ad E H, ergo rectangulum ſub V D E in E H æquale erit
              <lb/>
            quadrato E D, & </s>
            <s xml:id="echoid-s11671" xml:space="preserve">ex lemma 9. </s>
            <s xml:id="echoid-s11672" xml:space="preserve">ſumma laterum T S Z æqualis erit ſummæ la-
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            terum L I K; </s>
            <s xml:id="echoid-s11673" xml:space="preserve">quod erat propoſitum.</s>
            <s xml:id="echoid-s11674" xml:space="preserve"/>
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            <s xml:id="echoid-s11675" xml:space="preserve">Facile colligitur ex 3. </s>
            <s xml:id="echoid-s11676" xml:space="preserve">additarum, quod in hyperbola cuius axis ſubtripla ſit
              <lb/>
            erecti eius aſſignari poſſunt tres ſummæ laterum figurarum trium Diametrorum
              <lb/>
            quæ æquales ſint inter ſe. </s>
            <s xml:id="echoid-s11677" xml:space="preserve">Ex 4. </s>
            <s xml:id="echoid-s11678" xml:space="preserve">verò additarum in eadem Hyperbola aſſignari,
              <lb/>
            poßunt quatuor ſummæ laterum figurarum quatuor diametrorum, quæ æquales
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            ſint inter ſe.</s>
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            <s xml:id="echoid-s11680" xml:space="preserve">Deinde ſit A C minor, quàm A F, ſed non ſit minor eius triplo, er-
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            go A H non erit minor triplo H C, &</s>
            <s xml:id="echoid-s11681" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11682" xml:space="preserve">Textus mendoſus omnino corrigi
              <lb/>
              <note position="right" xlink:label="note-0370-06" xlink:href="note-0370-06a" xml:space="preserve">a</note>
            debuit, nam ex contextu ſequenti deducitur A C non tripla minor, ſed minor
              <lb/>
            parte tertia ſupponi debere ipſius A F.</s>
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          <figure number="440">
            <image file="0370-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0370-02"/>
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