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.
Page: 389 (350)
[332.] LEMMA XV.
Page: 389 (350)
[333.] Notæ in Propoſit. XXXXI.
Page: 392 (353)
[334.] Notæ in Propoſit. XXXXVII.
Page: 393 (354)
[335.] Notæ in Propoſit. XXXXVIII.
Page: 394 (355)
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
Page: 397 (358)
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
Page: 400 (361)
[338.] LEMMA XVII.
Page: 400 (361)
[339.] LEMMA XVIII.
Page: 403 (364)
[340.] Notæ in Propoſit. XXXXIX.
Page: 404 (365)
[341.] Notæ in Propoſit. XXXXX.
Page: 406 (367)
[342.] Notæ in Propoſit. XXXXXI.
Page: 406 (367)
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
Page: 409 (370)
[344.] Notæ in Propoſit. XXXI. & XXXII.
Page: 411 (372)
[345.] LIBRI SEPTIMI FINIS.
Page: 413 (374)
[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.
Page: 416
[347.] Præfatio ad Lectorem.
Page: 418 (379)
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
Page: 424 (385)
[349.] PROPOSITIO I.
Page: 425 (386)
[350.] SCHOLIVM ALMOCHTASSO.
Page: 425 (386)
[351.] Notæ in Propoſit. I.
Page: 425 (386)
[352.] PROPOSITIO II.
Page: 426 (387)
[353.] SCHOLIVM ALMOCHTASSO.
Page: 427 (388)
[354.] Notæ in Propoſ. II.
Page: 427 (388)
[355.] PROPOSITIO III.
Page: 428 (389)
[356.] Notæ in Propoſit. III.
Page: 428 (389)
[357.] PROPOSITIO IV.
Page: 429 (390)
[358.] Notæ in Propoſit. IV.
Page: 430 (391)
[359.] PROPOSITIO V.
Page: 430 (391)
[360.] SCHOLIVM ALMOCHTASSO.
Page: 431 (392)
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            demonſtrationis ſpectes; </s>
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            ponitur; </s>
            <s xml:id="echoid-s13251" xml:space="preserve">oſtendit enim Pap-
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            <s xml:id="echoid-s13252" xml:space="preserve">Archime-
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            des, ſemicircularis diame-
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            tri ſegmentum maius A C
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            ad circuli intercepti dia-
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            metrum H E habere ean-
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            dem proportionem, quàm
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            maioris circuli diameter A
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            B habet ad reliquum ſeg-
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            mentum eius B C, pari-
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            terque B A ad A C ean-
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            dem proportionem habet,
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            quàm C B ad reliqui circuli intercepti L M N diametrum: </s>
            <s xml:id="echoid-s13253" xml:space="preserve">ex hiſce ſequitur
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            B ad B C, permutando B A ad A C erit vt C B ad H E igitur eadem C B ad
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            duas circulorum diametros H E, & </s>
            <s xml:id="echoid-s13254" xml:space="preserve">L N eandem proportionem habet, & </s>
            <s xml:id="echoid-s13255" xml:space="preserve">pro-
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            pterea circulorum diametri H E, & </s>
            <s xml:id="echoid-s13256" xml:space="preserve">L N æquales ſunt inter ſe. </s>
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            in quo huiuſmodi lemmata circumferebantur: </s>
            <s xml:id="echoid-s13258" xml:space="preserve">ſed for ſan librariorum vitio, & </s>
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            incuria codex corruptiſſimus ad Arabes tranſmißus non omnes illas admirandas
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          <head xml:id="echoid-head456" xml:space="preserve">PROPOSITIO VI.</head>
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            <s xml:id="echoid-s13262" xml:space="preserve">SI fuerit femicirculus A B C, & </s>
            <s xml:id="echoid-s13263" xml:space="preserve">in eius diametro ſumatur
              <lb/>
            punctum D, & </s>
            <s xml:id="echoid-s13264" xml:space="preserve">fuerit A D ipſius D C ſexqui altera, & </s>
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            deſcribantur ſuper A D, D C duo ſemicirculi, & </s>
            <s xml:id="echoid-s13266" xml:space="preserve">ponatur cir-
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            culus E F inter tres ſemicirculos tangens eos, & </s>
            <s xml:id="echoid-s13267" xml:space="preserve">educatur dia-
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            meter E F in illo parallela diametro A C, reperiri debet pro-
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            portio diametri A C ad diametrum E F.</s>
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            <s xml:id="echoid-s13269" xml:space="preserve">Iungamus enim duas lineas A E, E B, & </s>
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              <lb/>
            erunt C B, A B rectæ, vti dictũ eſt in prima propoſit. </s>
            <s xml:id="echoid-s13271" xml:space="preserve">Deſcribamus etiam
              <lb/>
            duas lineas F G A, E H C, oſtendeturque eſſe quoque rectas; </s>
            <s xml:id="echoid-s13272" xml:space="preserve">Simili-
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            ter duas lineas D E, D F, & </s>
            <s xml:id="echoid-s13273" xml:space="preserve">iungamus D I, D L, & </s>
            <s xml:id="echoid-s13274" xml:space="preserve">E M, F N, & </s>
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            producamus eas ad O, P; </s>
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