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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page |< < (73) of 458 > >|
11173Conicor. Lib. V.
Notæ in Propoſit. XXIX. XXX.
& XXXI.
A Lioquin producatur perpendicularis C E, & c. Exiſtente C A lineæ
11a breuiſsima, & A D tangente, ſi C A non eſt perpendicularis ad tangen-
tem ducatur ex origine C recta C E perpendicularis ad tangentem A D, ſecans
eam in E, & ſectionem in F, erit in triangulo A C E angulus C A E acutus,
& minor angulo recto E, & propterea C A ſubtendens maiorem angulum re-
ctum, maior erit quàm C E, quæ acutum ſubtendit: cumque punctum E tan-
gentis cadat extra ſectionem, erit C F minor, quàm C E; ideoque C A multo
maior eſt, quàm C F, quapropter C A non erit breuiſsima, quod eſt contra,
hypotheſin.
Si vero fuerit D A C rectus, & c. Quia C A ſupponitur breuiſsima,
22b3333. 34.
lib. 2.& angulus D A C rectus, erit A D tangens; nam ſi hoc verum non eſt,
ducatur ex puncto A recta linea A G, contingens ſectionem in
A; ſecabit vtique tangens A G ipſam D A, & erit an-
gulus C A G rectus nimirum contentus à breuiſsima
C A, & tangente A G, ex proxime demon-
ſtrata propoſitione; ergo duo anguli recti
C A D, & C A G æquales ſunt
inter ſe, pars, & totum, quod
eſt abſurdum.
93[Figure 93]

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