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-div781" type="section" level="1" n="241">
          <head xml:id="echoid-head302" xml:space="preserve">Notæ in Propoſit. XXVIII.</head>
          <p>
            <s xml:id="echoid-s9219" xml:space="preserve">DEinde ſit ſectio elliptica, vt A B, & </s>
            <s xml:id="echoid-s9220" xml:space="preserve">axis eius tranſuerſus B D, & </s>
            <s xml:id="echoid-s9221" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0284-01" xlink:href="note-0284-01a" xml:space="preserve">a</note>
            erectus illius B E; </s>
            <s xml:id="echoid-s9222" xml:space="preserve">& </s>
            <s xml:id="echoid-s9223" xml:space="preserve">ſit triãgulum coni H F I, & </s>
            <s xml:id="echoid-s9224" xml:space="preserve">circumducamus
              <lb/>
            circa illum circulum, & </s>
            <s xml:id="echoid-s9225" xml:space="preserve">educamus ex F lineam F L K occurrentem ipſi
              <lb/>
            extra circulum in K; </s>
            <s xml:id="echoid-s9226" xml:space="preserve">& </s>
            <s xml:id="echoid-s9227" xml:space="preserve">occurrat circulo in L ita vt ſit F K ad K L, vt
              <lb/>
            D B ad B E; </s>
            <s xml:id="echoid-s9228" xml:space="preserve">& </s>
            <s xml:id="echoid-s9229" xml:space="preserve">eſt facile ( vti demonſtrauimus in 59. </s>
            <s xml:id="echoid-s9230" xml:space="preserve">ex I.)</s>
            <s xml:id="echoid-s9231" xml:space="preserve">, &</s>
            <s xml:id="echoid-s9232" xml:space="preserve">c.</s>
            <s xml:id="echoid-s9233" xml:space="preserve"/>
          </p>
          <figure number="331">
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            <s xml:id="echoid-s9234" xml:space="preserve">Senſus propoſitionis hic erit. </s>
            <s xml:id="echoid-s9235" xml:space="preserve">In cono recto, cuius triangulum per axim H F I
              <lb/>
            reperire ſectionem æqualem datæ ellipſi A B, cuius axis tranſuerſus D B, & </s>
            <s xml:id="echoid-s9236" xml:space="preserve">
              <lb/>
            latus rectum B E. </s>
            <s xml:id="echoid-s9237" xml:space="preserve">In conſtructione poſtea duci debet recta linea F L K extra
              <lb/>
            circulum, & </s>
            <s xml:id="echoid-s9238" xml:space="preserve">triangulum ad vtraſque partes, alias conſtructio non eſſet perfecta.</s>
            <s xml:id="echoid-s9239" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s9240" xml:space="preserve">Lemma verò, quod repoſuiſſe, dicit Arabicus interpres in I. </s>
            <s xml:id="echoid-s9241" xml:space="preserve">libro, ab hoc
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            ſequenti for ſam diuerſum non erit.</s>
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          <head xml:id="echoid-head303" xml:space="preserve">LEMMAX.</head>
          <p style="it">
            <s xml:id="echoid-s9243" xml:space="preserve">SEcetur latus F I in S, vt ſit F I
              <lb/>
              <figure xlink:label="fig-0284-02" xlink:href="fig-0284-02a" number="332">
                <image file="0284-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0284-02"/>
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            ad I S in eadem ratione, quàm
              <lb/>
            habet axis tranſuerſus D B ad latus re-
              <lb/>
            ctum B E: </s>
            <s xml:id="echoid-s9244" xml:space="preserve">& </s>
            <s xml:id="echoid-s9245" xml:space="preserve">ducatur S L æquidiſtans
              <lb/>
            trianguli baſi H I, quæ ſecet circulum ex
              <lb/>
            vtraque parte in L, & </s>
            <s xml:id="echoid-s9246" xml:space="preserve">coniungantur re-
              <lb/>
            ctæ lineæ F L, producanturque quoſquè
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            ſecent baſim H I in punctis K.</s>
            <s xml:id="echoid-s9247" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s9248" xml:space="preserve">Quoniam in triangulo F I K ducitur recta
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            linea S L æquidiſtans baſi I K, erit F I </s>
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