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

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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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page |< < (333) of 458 > >|
372333Conicor. Lib. VII.
SECTIO OCTAVA
Continens Propoſit. XXXXIIII. XXXXV.
& XXXXVI.
IN hyperbole ſi quadratum axis inclinati minus non fuerit di-
midio quadrati ex differentia ipſius, & ſui erecti, vtique
quadratum diametri figuræ eius minus eſt, quàm quadratum
diametri figuræ cuiuſcumque alterius inclinati eiuſdem ſectionis.
XXXXVI. Si verò minus fuerit cadent ad vtraſque partes
eius duæ inter ſe æquales diametri, quarum vniuscuiuſlibet qua-
dratum æquale eſt quadrato exceſſus ſui erecti, & quadratum
diametri figuræ ipſius minus eſt quàm quadratum diametri figu-
ræ cuiuſlibet alterius inclinati ad vtraſque eius partes cadentis:
& diameter figuræ inclinati proximioris illi minor eſt quàm dia-
meter figuræ inclinati remotioris.
441[Figure 441]
Iiſdem figuris manentibus ſupponatur prius A C non minor quàm A Demonſt
F; ergo P Q non erit minor quàm P R (28. ex 7.) & duo quadrata A prop. 44.
C, A F nempe diameter figuræ A C minor eſt quàm diameter figuræ

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