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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[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
[322.] LEMM A XI.
[323.] LEMM A XII.
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
[325.] Notæ in Propoſit. XXXXVI.
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
[327.] PROPOSITIO XXXXI.
[328.] PROPOSITIO XXXXVII.
[329.] PROPOSITIO XXXXVIII.
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
[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.
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          <head xml:id="echoid-head136" xml:space="preserve">SECTIO DECIMATERTIA</head>
          <head xml:id="echoid-head137" xml:space="preserve">Continens Propoſ. LXIV. LXV. LXVI.
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          LXVII. & LXXII. Apollonij.</head>
          <head xml:id="echoid-head138" xml:space="preserve">PROPOSITIO LXIV. LXV.</head>
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            <s xml:id="echoid-s3112" xml:space="preserve">S I ramorum ſecantium D C, D B, D A eductorum ex con-
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            curſu D ad fectionem C A non fuerint duo breuiſecantes,
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            vtique minimus eorum eſt, ramus terminatus D A, qui ambit
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            cum axe A E angulum acutum; </s>
            <s xml:id="echoid-s3113" xml:space="preserve">nempe D A E, & </s>
            <s xml:id="echoid-s3114" xml:space="preserve">reliquorum
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            propinquior illi minor eſt remotiore, ſcilicet D B maior, eſt
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            quàm D A, & </s>
            <s xml:id="echoid-s3115" xml:space="preserve">D C quàm D B.</s>
            <s xml:id="echoid-s3116" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3117" xml:space="preserve">Si vero inter illos fuerint duo breuiſecantes tunc vicinior
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            vertici ſectionis eſt maximus ramorum, & </s>
            <s xml:id="echoid-s3118" xml:space="preserve">maiori proximior,
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            eſt maior, & </s>
            <s xml:id="echoid-s3119" xml:space="preserve">minori propinquior eſt minor.</s>
            <s xml:id="echoid-s3120" xml:space="preserve"/>
          </p>
          <figure number="94">
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            <s xml:id="echoid-s3121" xml:space="preserve">Producamus perpendicularem D E ſuper axim E A, & </s>
            <s xml:id="echoid-s3122" xml:space="preserve">reperiatur Tru-
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            tina F. </s>
            <s xml:id="echoid-s3123" xml:space="preserve">Et primo loco nullus ramus ſit breuiſecans, iam ſi D B, non eſt
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            maior, quàm D A, ſit æqualis illi, & </s>
            <s xml:id="echoid-s3124" xml:space="preserve">ducamus duas </s>
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