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

Table of contents

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[261.] Notæ in Propoſit. I.
[262.] Notæ in Propoſit. V. & XXIII.
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
[264.] PROPOSITIO IV.
[265.] PROPOSITIO VI. & VII.
[266.] Notæ in Propoſit. II. III.
[267.] Notæ in Propoſit. IV.
[268.] Notæ in Propoſit. VI. & VII.
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
[270.] Notæ in Propoſit. VIII.
[271.] Notæ in Propoſit. IX.
[272.] Notæ in Propoſit. X.
[273.] Notæ in Propoſit. XI.
[274.] Notæ in Propoſit. XV.
[275.] Notæ in Propoſit. XIX.
[276.] Notæ in Propoſit. XVI.
[277.] Notæ in Propoſit. XVIII.
[278.] Notæ in Propoſit. XVII.
[279.] Notæ in Propoſit. XX.
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
[281.] Notæ in Propoſit. XII.
[282.] Notæ in Propoſit. XIII.
[283.] Notæ in Propoſit. XXIX.
[284.] Notæ in Propoſit. XXX.
[285.] Notæ in Propoſit. XIV. & XXV.
[286.] Notæ in Propoſit. XXVII.
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
[288.] PROPOSITIO XXI. & XXVIII.
[289.] PROPOSITIO XXVI
[290.] PROPOSITIO XXXXII.
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              <pb o="230" file="0268" n="268" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0268-01" xlink:href="fig-0268-01a" number="315">
                <image file="0268-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0268-01"/>
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            inter ſe: </s>
            <s xml:id="echoid-s8600" xml:space="preserve">hi autem anguli inclinationes ſunt axium conorum ad ſuas baſes; </s>
            <s xml:id="echoid-s8601" xml:space="preserve">igi-
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            tur axes A Y, & </s>
            <s xml:id="echoid-s8602" xml:space="preserve">D Z æque ſunt inclinati ad ſuas baſes: </s>
            <s xml:id="echoid-s8603" xml:space="preserve">ſuntque proportiona-
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            les ad baſium ſemidiametros Y B, & </s>
            <s xml:id="echoid-s8604" xml:space="preserve">Z E ( cum triangula A B Y, D E Z ſi-
              <lb/>
              <note position="left" xlink:label="note-0268-01" xlink:href="note-0268-01a" xml:space="preserve">Defin. 8.
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              huius.</note>
            milia oſtenſa ſint ); </s>
            <s xml:id="echoid-s8605" xml:space="preserve">igitur coni A B C, & </s>
            <s xml:id="echoid-s8606" xml:space="preserve">D E F ſimiles ſunt inter ſe. </s>
            <s xml:id="echoid-s8607" xml:space="preserve">Quod
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            erat oſtendendum.</s>
            <s xml:id="echoid-s8608" xml:space="preserve"/>
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            <s xml:id="echoid-s8609" xml:space="preserve">Data parabola Z duos conos ſimiles exhibere, vt idem planum ef-
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              <note position="left" xlink:label="note-0268-02" xlink:href="note-0268-02a" xml:space="preserve">PROP.
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              11.
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              Addit.</note>
            ficiat in eis duas parabolas æquales eidem datæ parabolæ, quæ asympto-
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            ticæ ſint, & </s>
            <s xml:id="echoid-s8610" xml:space="preserve">ſibi ipſis viciniores fiant diſtantia minore quacunque
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            data.</s>
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            <s xml:id="echoid-s8612" xml:space="preserve">In quolibet plano fiat angulus I H C æqualis angulo inclinationis diametri,
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            & </s>
            <s xml:id="echoid-s8613" xml:space="preserve">baſis parabolæ Z , & </s>
            <s xml:id="echoid-s8614" xml:space="preserve">per H C extenſo alio quolibet plano ducatur in eo B H
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            G perpendicularis ad X H C; </s>
            <s xml:id="echoid-s8615" xml:space="preserve">& </s>
            <s xml:id="echoid-s8616" xml:space="preserve">fiat quodlibet triangulum H G K, & </s>
            <s xml:id="echoid-s8617" xml:space="preserve">vt qua-
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            dratum H G ad rectangulum H K G, ita fiat latus rectum parabolæ Z ad </s>
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