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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              <pb o="273" file="0311" n="311" rhead="Conicor. Lib. VII."/>
            ducatur B E perpendicularis ad axim eum ſecans in E, tunc quidem axis ſeg-
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            mentum C E ab oppoſito vertice C ductum, vocat interpres Latus. </s>
            <s xml:id="echoid-s10183" xml:space="preserve">Poſtea ſum-
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            mam in prima ellipſi, & </s>
            <s xml:id="echoid-s10184" xml:space="preserve">differentiam in reliquis figuris lateris C E, & </s>
            <s xml:id="echoid-s10185" xml:space="preserve">inter-
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            ceptæ H C, nimirum ipſam lineam H E, vocat Interceptam comparatam.</s>
            <s xml:id="echoid-s10186" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s10187" xml:space="preserve">VI. </s>
            <s xml:id="echoid-s10188" xml:space="preserve">Et lateris C E, & </s>
            <s xml:id="echoid-s10189" xml:space="preserve">præſectæ G C differentia in tribus prioribus figuris,
              <lb/>
            & </s>
            <s xml:id="echoid-s10190" xml:space="preserve">ſumma in figura quarta, ideſt G E, vocatur Præſecta comparata.</s>
            <s xml:id="echoid-s10191" xml:space="preserve"/>
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            <s xml:id="echoid-s10192" xml:space="preserve">VII. </s>
            <s xml:id="echoid-s10193" xml:space="preserve">Ducantur in ellipſi A B C duæ diametri coniugatæ I L, & </s>
            <s xml:id="echoid-s10194" xml:space="preserve">N O, quæ
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            inter ſe ſint æquales. </s>
            <s xml:id="echoid-s10195" xml:space="preserve">Vel tranſuerſa I L ad eius latus rectum eandem propor-
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            tionem habeat, quàm eius coniugata N O ad ſuum latus rectum; </s>
            <s xml:id="echoid-s10196" xml:space="preserve">tunc quidem
              <lb/>
            vocat pariter diametros coniugatas I L, N O AEquales.</s>
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          <head xml:id="echoid-head323" xml:space="preserve">SECTIO PRIMA</head>
          <head xml:id="echoid-head324" xml:space="preserve">Continens Propoſit. I. V. & XXIII.
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          Apollonij.</head>
          <head xml:id="echoid-head325" xml:space="preserve">PROPOSITIO I.</head>
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            <s xml:id="echoid-s10198" xml:space="preserve">SI in parabola A B à termino
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            axis A D educatur recta linea
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            A B ſubtendens ſegmentum @ectionis
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            A B, & </s>
            <s xml:id="echoid-s10199" xml:space="preserve">ab eius termino ducatur B
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            D ad axim perpendicularis; </s>
            <s xml:id="echoid-s10200" xml:space="preserve">vtiquè
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            illa chorda poterit eius abſciſſam D
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            A in aggregatum abſciſſæ, & </s>
            <s xml:id="echoid-s10201" xml:space="preserve">erecti.</s>
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            <s xml:id="echoid-s10203" xml:space="preserve">Fiat A F æqualis erecto A E. </s>
            <s xml:id="echoid-s10204" xml:space="preserve">Quia
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              <note position="left" xlink:label="note-0311-01" xlink:href="note-0311-01a" xml:space="preserve">a</note>
            quadratum A B eſt æquale quadrato D </s>
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