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="88" file="0126" n="126" rhead="Apollonij Pergæi"/>
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        <div xml:id="echoid-div346" type="section" level="1" n="112">
          <head xml:id="echoid-head153" xml:space="preserve">SECTIO DECIMAQVARTA</head>
          <head xml:id="echoid-head154" xml:space="preserve">Continens Propoſ. LXXIII. LXXIV. LXXV.
            <lb/>
          LXXVI. & LXXVII.</head>
          <head xml:id="echoid-head155" xml:space="preserve">PROPOSITIO LXXIII.</head>
          <p>
            <s xml:id="echoid-s3643" xml:space="preserve">SI ex concurſu E non exiſtente ſuper rectum minorem elli-
              <lb/>
              <note position="right" xlink:label="note-0126-01" xlink:href="note-0126-01a" xml:space="preserve">a</note>
            pſis A B C ducatur ad ſectionem A B vnicus ramus vtrum-
              <lb/>
            que axim ſecans, cuius portio G I inter ſectionem, & </s>
            <s xml:id="echoid-s3644" xml:space="preserve">axim
              <lb/>
            maiorem A C ſit breuiſſima, vel duo breuiſecantes; </s>
            <s xml:id="echoid-s3645" xml:space="preserve">vtique ra-
              <lb/>
            morum ſecantium ex illo concurſu egredientium maximus erit
              <lb/>
            breuiſecans, qui ſectionis rectum ſecat, nempe E G, & </s>
            <s xml:id="echoid-s3646" xml:space="preserve">illi
              <lb/>
            proximior maior eſt remotiore; </s>
            <s xml:id="echoid-s3647" xml:space="preserve">minimus verò eorum eſt, qui
              <lb/>
            terminatur à vertice ſectionis proximiori concurſui, nempe E
              <lb/>
            C, & </s>
            <s xml:id="echoid-s3648" xml:space="preserve">illi propinquiores minores ſunt remotioribus, nempe in-
              <lb/>
            ter C G. </s>
            <s xml:id="echoid-s3649" xml:space="preserve">Si autem egrediantur ex illo tres breuiſecantes, & </s>
            <s xml:id="echoid-s3650" xml:space="preserve">
              <lb/>
            duo illorum ſecuerint menſuram, & </s>
            <s xml:id="echoid-s3651" xml:space="preserve">vnus ſecuerit rectum, vtique
              <lb/>
            qui rectum ſecat eſt maximus ramorum ſecantium: </s>
            <s xml:id="echoid-s3652" xml:space="preserve">& </s>
            <s xml:id="echoid-s3653" xml:space="preserve">ramorum
              <lb/>
            inter mediam breuiſecantem, & </s>
            <s xml:id="echoid-s3654" xml:space="preserve">remotiorem verticem ſectionis
              <lb/>
            à concurſu cadentium, proximior illi, eſt maior remotiore, & </s>
            <s xml:id="echoid-s3655" xml:space="preserve">
              <lb/>
            maximus duorum reliquorum breuiſecantium eſt ille, qui vertici
              <lb/>
            proximus eſt, & </s>
            <s xml:id="echoid-s3656" xml:space="preserve">ramorum, inter proximiorem verticem ſectio-
              <lb/>
            nis, & </s>
            <s xml:id="echoid-s3657" xml:space="preserve">intermedium breuiſecantem cadentium, vicinior illi, ma-
              <lb/>
            ior eſt remotiore.</s>
            <s xml:id="echoid-s3658" xml:space="preserve"/>
          </p>
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            <image file="0126-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0126-01"/>
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