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="183" file="0221" n="221" rhead="Conicor. Lib. VI."/>
          <figure number="247">
            <image file="0221-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0221-01"/>
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          <p style="it">
            <s xml:id="echoid-s6966" xml:space="preserve">Sed oportet in ellipſi, vt duo axes ſint ſimul, aut tranſuerſi, aut recti-
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            ſimul, &</s>
            <s xml:id="echoid-s6967" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6968" xml:space="preserve">Addidi verba, quæ videntur in textu deficere. </s>
            <s xml:id="echoid-s6969" xml:space="preserve">Sed oportet in elli-
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            pſi, vt duæ diametri, ideòque duo axes ſint ſimul, aut tranſuerſi, aut ſimul re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s6970" xml:space="preserve">Licet enim multoties diametri coniugatæ ellipſium æquales eße poſſint, ni-
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            hilominus eæ ſumi debent, quæ ad eaſdem partes reſpiciunt axes tranſuerſos,
              <lb/>
            alias conſtructio, atque demonſtratio non ſequeretur, vt manifeſtum eſt.</s>
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        <div xml:id="echoid-div649" type="section" level="1" n="215">
          <head xml:id="echoid-head272" xml:space="preserve">MONITVM.</head>
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            <s xml:id="echoid-s6972" xml:space="preserve">PRo intelligentia propoſ. </s>
            <s xml:id="echoid-s6973" xml:space="preserve">16. </s>
            <s xml:id="echoid-s6974" xml:space="preserve">& </s>
            <s xml:id="echoid-s6975" xml:space="preserve">17. </s>
            <s xml:id="echoid-s6976" xml:space="preserve">præmitti debent tria hæc lem-
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            mata.</s>
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        <div xml:id="echoid-div650" type="section" level="1" n="216">
          <head xml:id="echoid-head273" xml:space="preserve">LEMMA VI.</head>
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            <s xml:id="echoid-s6978" xml:space="preserve">SI in duobus parabolicis ſegmentis A B C, & </s>
            <s xml:id="echoid-s6979" xml:space="preserve">D E F baſes A C,
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            & </s>
            <s xml:id="echoid-s6980" xml:space="preserve">D F cum diametris G B, & </s>
            <s xml:id="echoid-s6981" xml:space="preserve">H E æquales angulos G, & </s>
            <s xml:id="echoid-s6982" xml:space="preserve">
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            H non rectos contineant, atque efficiant abſciſſas G B, & </s>
            <s xml:id="echoid-s6983" xml:space="preserve">H E dia-
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            metrorum ad latera recta B I, & </s>
            <s xml:id="echoid-s6984" xml:space="preserve">E K proportionalia; </s>
            <s xml:id="echoid-s6985" xml:space="preserve">erunt ſegmenta
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            ſimilia inter ſe.</s>
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