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

< >
[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)
< >
page |< < (411) of 458 > >|
450411Aſſumpt. Liber. gulum A D E, erit in primo caſu D O maior, quàm C D, in ſecundo
vero minor; & propterea A O minor erit, quàm A C in vtroque caſu.
Et quia quadratum C B ad rectangulum A D E eſt vt C D ad D O, igi-
tur ſolida parallelepipeda reciproca erunt æqualia, ſcilicet ſolidum qua-
524[Figure 524] drato C B in D O ducto æquale erit ſolido, cuius baſis rectangulum A
D E, altitudo vero C D, ſeu potius æquale erit ſolido, cuius baſis re-
ctangulum E D C, altitudo vero A D, & propterea vt quadratum B C
ad rectangulum E D C, ita erit reciproce A D ad D O, & comparando
antecedentes ad terminorum differentias in primo caſu, & ad eorundem
ſummas in ſecundo caſu, erit quadratum B C ad quadratum D B vt A
D ad A O, & denuo ſolidum parallelepipedum rectangulum contentum
ſub quadrato B C in A O æquale erit ei, cuius baſis quadratum D B,
altitudo vero A D: Eſt vero A O oſtenſa minor, quàm A C in vtroque
caſu, igitur parallelepipedum, cuius baſis quadratum B C, altitudo A
C maius eſt eo, cuius baſis eſt idem quadratum B C, altitudo A O;
ideoque parallelepipedum, cuius baſis quadratum B C, altitudo A C
maius eſt quolibet parallelepipedo, cuius baſis quadratum B D, altitudo
A D: quare patet propoſitum.
PROPOSITIO XVII.
SIt A B tripla ipſius A E, maior vero quàm tripla alterius C A,
ſecari debet eadem A B citra, & vltra E, in O, ita vt
parallelepipedum, cuius baſis quadratum O B, altitudo O A
æquale ſit parallelepipedo, cuius baſis quadratum E B, altitu-
do A C.
Fiat rectangulum A C B F, & producantur latera C A, F B, & fiat
rectangulum C F N æquale quadrato E B, & ducta diametro C E G

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index
Impressum