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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[111.] Notæ in Propoſit. LXXII.
[112.] SECTIO DECIMAQVARTA Continens Propoſ. LXXIII. LXXIV. LXXV. LXXVI. & LXXVII. PROPOSITIO LXXIII.
[113.] PROPOSITO LXXIV.
[114.] PROPOSITO LXXV.
[115.] PROPOSITIO LXXVI.
[116.] PROPOSITIO LXXVII.
[117.] Notæ in Propoſit. LXXIII.
[118.] LEMMA XII.
[119.] Notæ in Propoſ. LXXIV.
[120.] Notæ in Propoſit. LXXV.
[121.] Notæ in Propoſ. LXXVI.
[122.] Notæ in Propoſit. LXXVII.
[123.] COROLLARIVM.
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
[125.] PROPOSITO XXXXII.
[126.] PROPOSITIO XXXXIII.
[127.] Notæ in Propoſ. XXXXI.
[128.] Notæ in Propoſ. XXXXII.
[129.] Notæ in Propoſit. XXXXIII.
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
[133.] PROPOSITIO XX. XXI. & XXII.
[134.] PROPOSITIO XXIII. & XXIV.
[135.] PROPOSITIO XXV.
[136.] Notæ in Propoſit. XIX.
[137.] Notæ in Propoſit. XX. XXI. XXII.
[138.] Notæ in Propoſ. XXIII. XXIV.
[139.] Notæ in Propoſ. XXXV.
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
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          <pb o="183" file="0221" n="221" rhead="Conicor. Lib. VI."/>
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            <image file="0221-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0221-01"/>
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            <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,
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            alias conſtructio, atque demonſtratio non ſequeretur, vt manifeſtum eſt.</s>
            <s xml:id="echoid-s6971" xml:space="preserve"/>
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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>
          <p style="it">
            <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-
              <lb/>
            mata.</s>
            <s xml:id="echoid-s6977" xml:space="preserve"/>
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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,
              <lb/>
            & </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">
              <lb/>
            H non rectos contineant, atque efficiant abſciſſas G B, & </s>
            <s xml:id="echoid-s6983" xml:space="preserve">H E dia-
              <lb/>
            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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