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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[331.] LEMMA XIV.
Page: 389 (350)
[332.] LEMMA XV.
Page: 389 (350)
[333.] Notæ in Propoſit. XXXXI.
Page: 392 (353)
[334.] Notæ in Propoſit. XXXXVII.
Page: 393 (354)
[335.] Notæ in Propoſit. XXXXVIII.
Page: 394 (355)
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
Page: 397 (358)
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
Page: 400 (361)
[338.] LEMMA XVII.
Page: 400 (361)
[339.] LEMMA XVIII.
Page: 403 (364)
[340.] Notæ in Propoſit. XXXXIX.
Page: 404 (365)
[341.] Notæ in Propoſit. XXXXX.
Page: 406 (367)
[342.] Notæ in Propoſit. XXXXXI.
Page: 406 (367)
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
Page: 409 (370)
[344.] Notæ in Propoſit. XXXI. & XXXII.
Page: 411 (372)
[345.] LIBRI SEPTIMI FINIS.
Page: 413 (374)
[346.] LIBER ASSVMPTORVM INTERPRETE THEBIT BEN-KORA EXPONENTE AL MOCHT ASSO Ex Codice Arabico manuſcripto SERENISS. MAGNI DV CIS ETRVRIÆ, ABRAHAMVS ECCHELLENSIS Latinè vertit. IO: ALFONSVS BORELLVS Notis Illuſtrauit.
Page: 416
[347.] Præfatio ad Lectorem.
Page: 418 (379)
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
Page: 424 (385)
[349.] PROPOSITIO I.
Page: 425 (386)
[350.] SCHOLIVM ALMOCHTASSO.
Page: 425 (386)
[351.] Notæ in Propoſit. I.
Page: 425 (386)
[352.] PROPOSITIO II.
Page: 426 (387)
[353.] SCHOLIVM ALMOCHTASSO.
Page: 427 (388)
[354.] Notæ in Propoſ. II.
Page: 427 (388)
[355.] PROPOSITIO III.
Page: 428 (389)
[356.] Notæ in Propoſit. III.
Page: 428 (389)
[357.] PROPOSITIO IV.
Page: 429 (390)
[358.] Notæ in Propoſit. IV.
Page: 430 (391)
[359.] PROPOSITIO V.
Page: 430 (391)
[360.] SCHOLIVM ALMOCHTASSO.
Page: 431 (392)
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            mum E C nullus alius ramus breuiſecans ex concurſu E ad ſectionem duci poteſt,
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            qui cadat in eodem quadrante B L, quem breuiſecans interſecat.</s>
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          <p style="it">
            <s xml:id="echoid-s2655" xml:space="preserve">Nam ſi producantur E H, E G, &</s>
            <s xml:id="echoid-s2656" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2657" xml:space="preserve">Ducantur quilibet rami E H, E G ad
              <lb/>
              <note position="left" xlink:label="note-0097-01" xlink:href="note-0097-01a" xml:space="preserve">h</note>
            vtraſque partes breuiſecantis E C intra quadrantem B L, qui ſecent D B in K,
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            & </s>
            <s xml:id="echoid-s2658" xml:space="preserve">I, & </s>
            <s xml:id="echoid-s2659" xml:space="preserve">producatur per centrum D recta M D L perpendicularis ad axim B A,
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            quæ ſecet ſectionem in L, & </s>
            <s xml:id="echoid-s2660" xml:space="preserve">ramum E C in M.</s>
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            <s xml:id="echoid-s2662" xml:space="preserve">Et quia iam productæ ſunt ex concurſu M duæ breuiſecantes, &</s>
            <s xml:id="echoid-s2663" xml:space="preserve">c.
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              <note position="left" xlink:label="note-0097-02" xlink:href="note-0097-02a" xml:space="preserve">i</note>
            Quia C M breuiſsima ex hypotheſi occurrit ſemiaxi minori recto L D breuiſsi-
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            mæ pariter (ex 11. </s>
            <s xml:id="echoid-s2665" xml:space="preserve">huius) in M, ſequitur (non quidem ex 51. </s>
            <s xml:id="echoid-s2666" xml:space="preserve">52. </s>
            <s xml:id="echoid-s2667" xml:space="preserve">huius, ſed
              <lb/>
            ex lemmate 8. </s>
            <s xml:id="echoid-s2668" xml:space="preserve">præmiſſo) quod linea recta ex M ad H coniuncta cadat infra
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            breuiſsimam ex puncto H ad axim B A ductam, & </s>
            <s xml:id="echoid-s2669" xml:space="preserve">coniuncta recta M G cadit
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            ſupra breuiſsimam ex puncto G ad axim ductam.</s>
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            <s xml:id="echoid-s2671" xml:space="preserve">Sed E H, & </s>
            <s xml:id="echoid-s2672" xml:space="preserve">E G efficiunt abſciſsas oppoſito modo, &</s>
            <s xml:id="echoid-s2673" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2674" xml:space="preserve">Quia ab eodem
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            puncto H ſectionis ducuntur tres rectæ lineæ. </s>
            <s xml:id="echoid-s2675" xml:space="preserve">H E, H M, & </s>
            <s xml:id="echoid-s2676" xml:space="preserve">breuiſsima ex H ad
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            axim B A ducta, quarum intermedia eſt H M, eo quod breuiſsima ex H ad
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            axim A B cadit ſupra H M ad partes B, vt dictum eſt, & </s>
            <s xml:id="echoid-s2677" xml:space="preserve">H E cadit
              <lb/>
              <note position="right" xlink:label="note-0097-04" xlink:href="note-0097-04a" xml:space="preserve">Lem 8.</note>
            infra H M ad partes A; </s>
            <s xml:id="echoid-s2678" xml:space="preserve">ergo H E cadit infra breuiſsimam ex
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            H ad A B ductam, & </s>
            <s xml:id="echoid-s2679" xml:space="preserve">propterea E H nan erit breuiſecans:
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            </s>
            <s xml:id="echoid-s2680" xml:space="preserve">Similiter breuiſsimaex G ad A B extenſa cadit infra
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            G M ad partes A, vt dictum eſt; </s>
            <s xml:id="echoid-s2681" xml:space="preserve">at E G cadit
              <lb/>
              <note position="right" xlink:label="note-0097-05" xlink:href="note-0097-05a" xml:space="preserve">1 bidem.</note>
            ſupra G M ad partes B; </s>
            <s xml:id="echoid-s2682" xml:space="preserve">ergo E G cadit
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            ſupra breuiſsimam ex G ad axim
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            A B ductam, quare E G non
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            eſt breuiſecans.</s>
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