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-s7737" xml:space="preserve">
              <pb o="206" file="0244" n="244" rhead="Apollonij Pergæi"/>
            ſeu axium (in hoc caſu) L B, & </s>
            <s xml:id="echoid-s7738" xml:space="preserve">M E ſiguræ ſimiles inter ſe; </s>
            <s xml:id="echoid-s7739" xml:space="preserve">& </s>
            <s xml:id="echoid-s7740" xml:space="preserve">ideò ſectiones
              <lb/>
              <note position="left" xlink:label="note-0244-01" xlink:href="note-0244-01a" xml:space="preserve">ex 11. 12.
                <lb/>
              huius.</note>
            A B C, & </s>
            <s xml:id="echoid-s7741" xml:space="preserve">D E F ſimiles erunt.</s>
            <s xml:id="echoid-s7742" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7743" xml:space="preserve">Itaque propter ſimilitudinem duorum ſegmẽtorum ſimlia erunt B N L,
              <lb/>
              <note position="right" xlink:label="note-0244-02" xlink:href="note-0244-02a" xml:space="preserve">b</note>
            E O M, & </s>
            <s xml:id="echoid-s7744" xml:space="preserve">pariter L B P, & </s>
            <s xml:id="echoid-s7745" xml:space="preserve">M E Q atque quadratum B P ad L P in P
              <lb/>
            N nempe, &</s>
            <s xml:id="echoid-s7746" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7747" xml:space="preserve">Huius ſecundæ partis demonſtrationem, quàm non ſinceram Pa-
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            raphraſtes Arabicus nobis tranſmiſit omittere opere pretium erit, eandemq; </s>
            <s xml:id="echoid-s7748" xml:space="preserve">bre-
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              <figure xlink:label="fig-0244-01" xlink:href="fig-0244-01a" number="279">
                <image file="0244-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0244-01"/>
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            uius demonſtrare hac ratione. </s>
            <s xml:id="echoid-s7749" xml:space="preserve">Quia ſegmenta C B G, & </s>
            <s xml:id="echoid-s7750" xml:space="preserve">F E H ſimilia ponun-
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            tur; </s>
            <s xml:id="echoid-s7751" xml:space="preserve">ergo erunt figuræ diametrorum B I, E K ſimiles inter ſe in angulis I, K
              <lb/>
              <note position="left" xlink:label="note-0244-03" xlink:href="note-0244-03a" xml:space="preserve">Lem. 8.
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              huius.</note>
            æqualibus, & </s>
            <s xml:id="echoid-s7752" xml:space="preserve">ſectiones ipſæ C B G, & </s>
            <s xml:id="echoid-s7753" xml:space="preserve">F E H ſimiles inter ſe erunt; </s>
            <s xml:id="echoid-s7754" xml:space="preserve">quod eſt
              <lb/>
              <note position="left" xlink:label="note-0244-04" xlink:href="note-0244-04a" xml:space="preserve">Prop. 15.
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              huius.</note>
            contra hypotheſin.</s>
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          <head xml:id="echoid-head291" xml:space="preserve">Notæ in Propoſit. XXIII.</head>
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            <s xml:id="echoid-s7756" xml:space="preserve">SI enim ſimilia eſſent haberent conditiones ſimilitudinis, quod eſt im-
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            poſſibile, &</s>
            <s xml:id="echoid-s7757" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7758" xml:space="preserve">Si enim concedantur ſegmenta G B C in parabola, & </s>
            <s xml:id="echoid-s7759" xml:space="preserve">H E
              <lb/>
            F in hyperbole, vel ellipſi, ſimilia inter ſe; </s>
            <s xml:id="echoid-s7760" xml:space="preserve">igitur in vnaquaque earũ duci poſ-
              <lb/>
              <note position="left" xlink:label="note-0244-06" xlink:href="note-0244-06a" xml:space="preserve">Defin. 7.
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              huius.</note>
            ſent ad diametros ordinatim applicatæ numero æquales, efficientes angulos æqua-
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              <figure xlink:label="fig-0244-02" xlink:href="fig-0244-02a" number="280">
                <image file="0244-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0244-02"/>
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