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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[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.
[361.] SCHOLIVM PRIMVM ALKAVHI.
[362.] SCHOLIVM SECVNDVM ALKAVHI.
[363.] Notæ in Propoſit. V.
[364.] PROPOSITIO VI.
[365.] Notæ in Propoſit. VI.
[366.] PROPOSITIO VII.
[367.] SCHOLIVM ALMOCHTASSO.
[368.] PROPOSITIO VIII.
[369.] SCHOLIVM ALMOCHTASSO.
[370.] Notæ in Propoſit. VIII.
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        <div xml:id="echoid-div1039" type="section" level="1" n="329">
          <head xml:id="echoid-head407" xml:space="preserve">PROPOSITIO XXXXVIII.</head>
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            <s xml:id="echoid-s12090" xml:space="preserve">S It iam duplum quadrati A C maius quadrato C A F, erit duplum
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            quadrati A H maius quadrato G H: </s>
            <s xml:id="echoid-s12091" xml:space="preserve">ponatur duplum quadrati H M
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            æquale quadrato G H: </s>
            <s xml:id="echoid-s12092" xml:space="preserve">& </s>
            <s xml:id="echoid-s12093" xml:space="preserve">ducatur ad axim perpendicularis M N; </s>
            <s xml:id="echoid-s12094" xml:space="preserve">iun-
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            gaturque A N, eiuſque diameter P Q extendatur, erit H M ad M G,
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            vt P Q ad P R (7. </s>
            <s xml:id="echoid-s12095" xml:space="preserve">ex 7.)</s>
            <s xml:id="echoid-s12096" xml:space="preserve">; </s>
            <s xml:id="echoid-s12097" xml:space="preserve">ergo, & </s>
            <s xml:id="echoid-s12098" xml:space="preserve">quadratum H M ad quadratum H
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            G erit, vt quadratum P Q ad quadratum P R, & </s>
            <s xml:id="echoid-s12099" xml:space="preserve">quadratum H M ad
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            duo quadrata ex H M, & </s>
            <s xml:id="echoid-s12100" xml:space="preserve">ex M G eandem proportionẽ habebit, quàm
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            quadratum P Q ad quadratum diametri ſuæ figuræ: </s>
            <s xml:id="echoid-s12101" xml:space="preserve">educatur poſtea dia-
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            meter I L inter A, & </s>
            <s xml:id="echoid-s12102" xml:space="preserve">B, & </s>
            <s xml:id="echoid-s12103" xml:space="preserve">erectum illius ſit I K ad quàm ordinatim
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            ducta ſit A B, & </s>
            <s xml:id="echoid-s12104" xml:space="preserve">ad axim perpendicularis ſit B E erit quadratum M H,
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            nec non G H in H D æquale dimidio quadrati H G; </s>
            <s xml:id="echoid-s12105" xml:space="preserve">igitur G H ad </s>
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