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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            <s xml:id="echoid-s10846" xml:space="preserve">XXI. </s>
            <s xml:id="echoid-s10847" xml:space="preserve">Deinde ſit A C æqualis QR in hyperbola fiet A C æqualis ere-
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            cto, & </s>
            <s xml:id="echoid-s10848" xml:space="preserve">conuenient duo puncta H, & </s>
            <s xml:id="echoid-s10849" xml:space="preserve">G in puncto D, eritque A C ad
              <lb/>
              <note position="right" xlink:label="note-0338-01" xlink:href="note-0338-01a" xml:space="preserve">b</note>
              <figure xlink:label="fig-0338-01" xlink:href="fig-0338-01a" number="392">
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            Q R vt A D ad ſe ipſam, ſiue vt A C ad ſe ipſam, quæ eſt vt D E ad
              <lb/>
            ſe ipſam, & </s>
            <s xml:id="echoid-s10850" xml:space="preserve">hæc oſtenſa eſt, vt quadratum I L ad quadratum N O; </s>
            <s xml:id="echoid-s10851" xml:space="preserve">igi-
              <lb/>
              <note position="left" xlink:label="note-0338-02" xlink:href="note-0338-02a" xml:space="preserve">Prop. 6.
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              huius.</note>
            tur I L, & </s>
            <s xml:id="echoid-s10852" xml:space="preserve">N O ſunt æquales, & </s>
            <s xml:id="echoid-s10853" xml:space="preserve">ſic demonſtrabitur, quod S T, V X ſunt
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            æquales, & </s>
            <s xml:id="echoid-s10854" xml:space="preserve">hoc erat propoſitum.</s>
            <s xml:id="echoid-s10855" xml:space="preserve"/>
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          <head xml:id="echoid-head360" xml:space="preserve">PROPOSITIO XXVI</head>
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              <emph style="sc">At</emph>
            in ellipſi fieri po-
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            teſt, vt H E ſit æ-
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            qualis E G, ſi nimirum
              <lb/>
            punctum B cadat in Q, & </s>
            <s xml:id="echoid-s10857" xml:space="preserve">
              <lb/>
            tunc B E cadetſuper Q D,
              <lb/>
            & </s>
            <s xml:id="echoid-s10858" xml:space="preserve">erit diameter I L æqua-
              <lb/>
            lis ſuæ coniugatæ; </s>
            <s xml:id="echoid-s10859" xml:space="preserve">& </s>
            <s xml:id="echoid-s10860" xml:space="preserve">vo-
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            cabo eas æquales.</s>
            <s xml:id="echoid-s10861" xml:space="preserve"/>
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            <s xml:id="echoid-s10862" xml:space="preserve">Quia C G ad C H, nempe
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            quadratum A C ad ſuam fi-
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            guram maiorem proportionem
              <lb/>
            habet in primis figuris, & </s>
            <s xml:id="echoid-s10863" xml:space="preserve">mi-
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            norem in ſecunda ellipſi, quàm
              <lb/>
            C G ad G E, nempe quàm
              <lb/>
            quadratum A C ad figuram
              <lb/>
            ipſius I L ( 18. </s>
            <s xml:id="echoid-s10864" xml:space="preserve">ex 7. </s>
            <s xml:id="echoid-s10865" xml:space="preserve">) & </s>
            <s xml:id="echoid-s10866" xml:space="preserve">C
              <lb/>
            G ad G E in primis figurisma-
              <lb/>
            iorem proportionem habet, &</s>
            <s xml:id="echoid-s10867" xml:space="preserve"/>
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