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.
Page: 312 (274)
[262.] Notæ in Propoſit. V. & XXIII.
Page: 313 (275)
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
Page: 314 (276)
[264.] PROPOSITIO IV.
Page: 315 (277)
[265.] PROPOSITIO VI. & VII.
Page: 316 (278)
[266.] Notæ in Propoſit. II. III.
Page: 317 (279)
[267.] Notæ in Propoſit. IV.
Page: 318 (280)
[268.] Notæ in Propoſit. VI. & VII.
Page: 319 (281)
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
Page: 320 (282)
[270.] Notæ in Propoſit. VIII.
Page: 323 (285)
[271.] Notæ in Propoſit. IX.
Page: 324 (286)
[272.] Notæ in Propoſit. X.
Page: 325 (287)
[273.] Notæ in Propoſit. XI.
Page: 325 (287)
[274.] Notæ in Propoſit. XV.
Page: 326 (288)
[275.] Notæ in Propoſit. XIX.
Page: 326 (288)
[276.] Notæ in Propoſit. XVI.
Page: 327 (289)
[277.] Notæ in Propoſit. XVIII.
Page: 327 (289)
[278.] Notæ in Propoſit. XVII.
Page: 328 (290)
[279.] Notæ in Propoſit. XX.
Page: 328 (290)
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
Page: 329 (291)
[281.] Notæ in Propoſit. XII.
Page: 332 (293)
[282.] Notæ in Propoſit. XIII.
Page: 333 (294)
[283.] Notæ in Propoſit. XXIX.
Page: 334 (295)
[284.] Notæ in Propoſit. XXX.
Page: 334 (295)
[285.] Notæ in Propoſit. XIV. & XXV.
Page: 335 (296)
[286.] Notæ in Propoſit. XXVII.
Page: 335 (296)
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
Page: 337 (298)
[288.] PROPOSITIO XXI. & XXVIII.
Page: 338 (299)
[289.] PROPOSITIO XXVI
Page: 339 (300)
[290.] PROPOSITIO XXXXII.
Page: 340 (301)
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          <head xml:id="echoid-head73" xml:space="preserve">PROPOSITIO IX. & X.</head>
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            <s xml:id="echoid-s1247" xml:space="preserve">AT in hyper-
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              <note position="right" xlink:label="note-0056-01" xlink:href="note-0056-01a" xml:space="preserve">g</note>
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            bola (10.)
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            </s>
            <s xml:id="echoid-s1248" xml:space="preserve">& </s>
            <s xml:id="echoid-s1249" xml:space="preserve">ellipſi educa-
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            mus rectas lineas,
              <lb/>
            G F quidem ſecã-
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            tem A D in a, & </s>
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              <lb/>
            N H occurrẽtem
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            F G in S, & </s>
            <s xml:id="echoid-s1251" xml:space="preserve">I S
              <lb/>
            ſecantem C G in
              <lb/>
            T, pariterque M
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            Q ſecantem F G
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            in m, & </s>
            <s xml:id="echoid-s1252" xml:space="preserve">I T in X,
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            & </s>
            <s xml:id="echoid-s1253" xml:space="preserve">ex punctis m, S,
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            x educamus inter
              <lb/>
            N S, M X rectas
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            m y, X n, S Z pa-
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            rallelas ipſi C I. </s>
            <s xml:id="echoid-s1254" xml:space="preserve">
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            Et quia C F ad C
              <lb/>
            G, nempe F H ad
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            H S poſita eſt, vt
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            F H ad H I erit H I æqualis H S; </s>
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              <lb/>
              <note position="right" xlink:label="note-0056-02" xlink:href="note-0056-02a" xml:space="preserve">h</note>
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            quadratum igitur I H eſt æquale
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            duplo trianguli I H S, & </s>
            <s xml:id="echoid-s1256" xml:space="preserve">quadra-
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            tum N H ęquale eſt duplo trape-
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            zij H G; </s>
            <s xml:id="echoid-s1257" xml:space="preserve">quare quadratum N I
              <lb/>
              <note position="left" xlink:label="note-0056-03" xlink:href="note-0056-03a" xml:space="preserve">Prop. I. h.</note>
            æquale eſt duplo trapezij I G;
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            <s xml:id="echoid-s1258" xml:space="preserve">ſimiliter quadratum I Q ęquale eſt
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            duplo trianguli I Q X, & </s>
            <s xml:id="echoid-s1259" xml:space="preserve">quadra-
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            tum M Q eſt æquale duplo trape-
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            zij Q G; </s>
            <s xml:id="echoid-s1260" xml:space="preserve">itaque quadratum ex I M
              <lb/>
            æquale eſt duplo trapezij I G cum
              <lb/>
            duplo trianguli m S X, quod eſt æ-
              <lb/>
            quale plano m n: </s>
            <s xml:id="echoid-s1261" xml:space="preserve">Et C F ad C G,
              <lb/>
            nempe proportio figuræ eſt, vt S Z,
              <lb/>
            nempe Z X ad Z m (& </s>
            <s xml:id="echoid-s1262" xml:space="preserve">hoc quidem
              <lb/>
            propter ſimilitudinem triangulorũ)
              <lb/>
            quare comparãdo priores ad ſum-
              <lb/>
              <note position="left" xlink:label="note-0056-05" xlink:href="note-0056-05a" xml:space="preserve">Lem. 1. h.</note>
            mas terminorum in hyperbola, & </s>
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              <note position="right" xlink:label="note-0056-06" xlink:href="note-0056-06a" xml:space="preserve">k</note>
            ad eorundem differentias in ellipſi
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            fiet X Z (quæ eſt æqualis ipſi X n)
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            ad X m, vt proportio inclinati, ſiue
              <lb/>
              <note position="right" xlink:label="note-0056-07" xlink:href="note-0056-07a" xml:space="preserve">l</note>
            tranſuerſæ ad latitudinem figuræ
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            comparatæ; </s>
            <s xml:id="echoid-s1264" xml:space="preserve">igitur planum m n eſt exemplar, eſtque applicatum ad X n,
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              <note position="left" xlink:label="note-0056-08" xlink:href="note-0056-08a" xml:space="preserve">Def 9.</note>
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