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.
Page: 375 (336)
[322.] LEMM A XI.
Page: 375 (336)
[323.] LEMM A XII.
Page: 376 (337)
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
Page: 378 (339)
[325.] Notæ in Propoſit. XXXXVI.
Page: 378 (339)
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
Page: 380 (341)
[327.] PROPOSITIO XXXXI.
Page: 382 (343)
[328.] PROPOSITIO XXXXVII.
Page: 383 (344)
[329.] PROPOSITIO XXXXVIII.
Page: 386 (347)
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
Page: 388 (349)
[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)
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            dens quartum caſum in poſtrema figura, quàm ſuperaddidi, vti neceſſariam,
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            pro intelligentia octauæ propoſitionis.</s>
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            <s xml:id="echoid-s10338" xml:space="preserve">Et componendo in hyperbola, & </s>
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            coniungendo in duabus figuris prioribus, & </s>
            <s xml:id="echoid-s10340" xml:space="preserve">occurrere faciamus reſpe-
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            ctiuum cum reſpectiuo in reliquis figuris poſt inuerſionem, vt fiat, &</s>
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            Ideſt componendo in byperbolis, & </s>
            <s xml:id="echoid-s10343" xml:space="preserve">in ellipſibus comparando differentias termi
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            norum ad conſequentes, deinde comparando homologorum differentias in duabus
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            figuris prioribus, & </s>
            <s xml:id="echoid-s10344" xml:space="preserve">ſumas in reliquis, innc enim A H ad G E eſt, vt A C
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            ad C G, & </s>
            <s xml:id="echoid-s10345" xml:space="preserve">ſumpta communi altitudine E A, erit tectangulum H A E ad re-
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            ctangulum G E A, vt A C ad C G. </s>
            <s xml:id="echoid-s10346" xml:space="preserve">Seà rectangulum H A E æquale eſt qua-
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            drato A E vna cum rectangulo H E A, cui æquale eſt quadratum B E, ergo
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            quadratum A B æquale eſt rectangulo H A E (propterea quod A B ſubtendit
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            angulum rectum E in triangulo B A E) quare quadratũ A B ad rectangulum
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            A G E eandem proportionẽ habet quàm C A ad C G.</s>
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          <head xml:id="echoid-head335" xml:space="preserve">Notæ in Propoſit. IV.</head>
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            <s xml:id="echoid-s10348" xml:space="preserve">SI hyperbolen, aut ellipſim A B tangat recta linea I M, & </s>
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            axi A C in M, vtique ipſius I M quadratum, &</s>
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            <s xml:id="echoid-s10351" xml:space="preserve">Suppleri debet
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