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="199" file="0237" n="237" rhead="Conicor. Lib. VI."/>
            dem lineæ perpendiculares ſunt ad præ-
              <lb/>
              <figure xlink:label="fig-0237-01" xlink:href="fig-0237-01a" number="269">
                <image file="0237-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0237-01"/>
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            dictas chordas, ſuntque etiam diametri
              <lb/>
            ſectionis, ergo I K, L M, N O ſunt axes,
              <lb/>
            nec ſibi in directum coincidunt; </s>
            <s xml:id="echoid-s7483" xml:space="preserve">quia
              <lb/>
            chordæ primo eductæ inter ſe parallelæ
              <lb/>
            non erant: </s>
            <s xml:id="echoid-s7484" xml:space="preserve">hoc autem eſt abſurdum,
              <lb/>
            quia in qualibet ſectione reperiri non
              <lb/>
            poſſunt plures, quàm duo axes (52. </s>
            <s xml:id="echoid-s7485" xml:space="preserve">ex
              <lb/>
              <note position="right" xlink:label="note-0237-01" xlink:href="note-0237-01a" xml:space="preserve">48. lib. 2.</note>
            2.)</s>
            <s xml:id="echoid-s7486" xml:space="preserve">; </s>
            <s xml:id="echoid-s7487" xml:space="preserve">ergo fieri non poteſt, vt ſectionis
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            conicæ portio ſit arcus circuli. </s>
            <s xml:id="echoid-s7488" xml:space="preserve">Quod
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            erat oſtendendum.</s>
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        <div xml:id="echoid-div684" type="section" level="1" n="228">
          <head xml:id="echoid-head288" xml:space="preserve">Notæ in Propoſit. XX.</head>
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            <s xml:id="echoid-s7490" xml:space="preserve">QVodlibet duorum ſegmentorum, vt A B C, D E F in duobus ſeg-
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              <note position="left" xlink:label="note-0237-02" xlink:href="note-0237-02a" xml:space="preserve">a</note>
            mentis ſimilibus, vt N A C, P D F abſciſſa ſint ab ordinatis duo-
              <lb/>
            rum axium ſectionum, vt A C, D F, N L, P M, A M, A S,
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            K M ad latus ſuarum verticum vt B, E; </s>
            <s xml:id="echoid-s7491" xml:space="preserve">ſitque proportio earum abſciſ-
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            ſarum ad erecta duorum ſegmentorum eadem, nempe I B ad B G, vt K
              <lb/>
            E ad E H, & </s>
            <s xml:id="echoid-s7492" xml:space="preserve">L B ad B G, vt M E ad E H: </s>
            <s xml:id="echoid-s7493" xml:space="preserve">vtique duo ſegmenta A B
              <lb/>
            C, D E F, N B, P E ſimilia ſunt, & </s>
            <s xml:id="echoid-s7494" xml:space="preserve">ſimilia poſitione: </s>
            <s xml:id="echoid-s7495" xml:space="preserve">&</s>
            <s xml:id="echoid-s7496" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7497" xml:space="preserve">Textus hic
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            adeo corruptus eſt, vt ne Apollonius quidem, ſi reuiuiſceret, ſenſum ex verbis
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            tam inconcinnis, & </s>
            <s xml:id="echoid-s7498" xml:space="preserve">non coherentibus elicere poſſet. </s>
            <s xml:id="echoid-s7499" xml:space="preserve">Itaque diuinando eam eſſe
              <lb/>
            veram lectionem cenſeo; </s>
            <s xml:id="echoid-s7500" xml:space="preserve">quàm in textu appoſui.</s>
            <s xml:id="echoid-s7501" xml:space="preserve"/>
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