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.
[332.] LEMMA XV.
[333.] Notæ in Propoſit. XXXXI.
[334.] Notæ in Propoſit. XXXXVII.
[335.] Notæ in Propoſit. XXXXVIII.
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
[338.] LEMMA XVII.
[339.] LEMMA XVIII.
[340.] Notæ in Propoſit. XXXXIX.
[341.] Notæ in Propoſit. XXXXX.
[342.] Notæ in Propoſit. XXXXXI.
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
[344.] Notæ in Propoſit. XXXI. & XXXII.
[345.] LIBRI SEPTIMI FINIS.
[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.
[347.] Præfatio ad Lectorem.
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
[349.] PROPOSITIO I.
[350.] SCHOLIVM ALMOCHTASSO.
[351.] Notæ in Propoſit. I.
[352.] PROPOSITIO II.
[353.] SCHOLIVM ALMOCHTASSO.
[354.] Notæ in Propoſ. II.
[355.] PROPOSITIO III.
[356.] Notæ in Propoſit. III.
[357.] PROPOSITIO IV.
[358.] Notæ in Propoſit. IV.
[359.] PROPOSITIO V.
[360.] SCHOLIVM ALMOCHTASSO.
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          <head xml:id="echoid-head463" xml:space="preserve">PROPOSITIO IX.</head>
          <p>
            <s xml:id="echoid-s13382" xml:space="preserve">SI mutuo ſe ſecuerint in circulo duæ lineæ A B, C D, (ſed
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            non in centro) ad angulos rectos, vtique duo arcus A D,
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            C B ſunt æquales duobus arcubus A C, D B.</s>
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          <p>
            <s xml:id="echoid-s13384" xml:space="preserve">Educamus diametrum E F parallelam ipſi A B, quæ ſecet C D biſa-
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            riam in G, erit E C æqualis ipſi E D; </s>
            <s xml:id="echoid-s13385" xml:space="preserve">& </s>
            <s xml:id="echoid-s13386" xml:space="preserve">quia tam arcus E D F, quam
              <lb/>
            E C F eſt ſemicirculus, & </s>
            <s xml:id="echoid-s13387" xml:space="preserve">arcus
              <lb/>
            E D æqualis arcui E A cum
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            arcu A D, erit arcus C F cum
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            duobus arcubus E A, A D æ-
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            qualis ſemicirculo, & </s>
            <s xml:id="echoid-s13388" xml:space="preserve">arcus E
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            A æqualis arcui B F, ergo ar-
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            cus C B cum arcu A D æqualis
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            eſt ſemicirculo, & </s>
            <s xml:id="echoid-s13389" xml:space="preserve">remanent duo
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            arcus E C, E A nempe arcus A
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            C cum arcu D B æquales illi,
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            & </s>
            <s xml:id="echoid-s13390" xml:space="preserve">hoc eſt quod voluimus.</s>
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          <head xml:id="echoid-head464" xml:space="preserve">PROPOSITIO X.</head>
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            <s xml:id="echoid-s13392" xml:space="preserve">SI fuerit circulus A B C, & </s>
            <s xml:id="echoid-s13393" xml:space="preserve">D A tangens illum, & </s>
            <s xml:id="echoid-s13394" xml:space="preserve">D B ſe-
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            cans illum, & </s>
            <s xml:id="echoid-s13395" xml:space="preserve">D C etiam tangens, & </s>
            <s xml:id="echoid-s13396" xml:space="preserve">educta fuerit C E
              <lb/>
            parallela ipſi D B, & </s>
            <s xml:id="echoid-s13397" xml:space="preserve">iuncta fuerit E A ſecans D B in F, & </s>
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            educta fuerit ex F perpendicularis F G ſuper C E; </s>
            <s xml:id="echoid-s13399" xml:space="preserve">vtique bifa-
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            riam ſecabit illam in G.</s>
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            <s xml:id="echoid-s13401" xml:space="preserve">Iungamus A C, & </s>
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            <s xml:id="echoid-s13403" xml:space="preserve">A C ſecans circulum
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            erit angulus D A C æqualis angulo cadenti in alterno ſegmento A C
              <lb/>
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                <image file="0439-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0439-02"/>
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            </s>
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