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

< >
[251.] II.
Page: 309 (271)
[252.] III.
Page: 309 (271)
[253.] IV.
Page: 309 (271)
[254.] V.
Page: 309 (271)
[255.] VI.
Page: 309 (271)
[256.] VII.
Page: 310 (272)
[257.] VIII.
Page: 310 (272)
[258.] NOTÆ.
Page: 310 (272)
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
Page: 311 (273)
[260.] PROPOSITIO V. & XXIII.
Page: 312 (274)
[261.] Notæ in Propoſit. I.
Page: 312 (274)
[262.] Notæ in Propoſit. V. & XXIII.
Page: 313 (275)
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
Page: 314 (276)
[264.] PROPOSITIO IV.
Page: 315 (277)
[265.] PROPOSITIO VI. & VII.
Page: 316 (278)
[266.] Notæ in Propoſit. II. III.
Page: 317 (279)
[267.] Notæ in Propoſit. IV.
Page: 318 (280)
[268.] Notæ in Propoſit. VI. & VII.
Page: 319 (281)
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
Page: 320 (282)
[270.] Notæ in Propoſit. VIII.
Page: 323 (285)
[271.] Notæ in Propoſit. IX.
Page: 324 (286)
[272.] Notæ in Propoſit. X.
Page: 325 (287)
[273.] Notæ in Propoſit. XI.
Page: 325 (287)
[274.] Notæ in Propoſit. XV.
Page: 326 (288)
[275.] Notæ in Propoſit. XIX.
Page: 326 (288)
[276.] Notæ in Propoſit. XVI.
Page: 327 (289)
[277.] Notæ in Propoſit. XVIII.
Page: 327 (289)
[278.] Notæ in Propoſit. XVII.
Page: 328 (290)
[279.] Notæ in Propoſit. XX.
Page: 328 (290)
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
Page: 329 (291)
< >
page |< < (282) of 458 > >|
320282Apollonij Pergæi ſecet axim in M, & I S ad axim perpendicularem, ſeu ordinatim applica-
tam, eum ſecans in S. Et quia trianguli A C B duo latera A C, A B ſecan-
tur proportionaliter, ſcilicet bifariam in D, & K; ergo I D parallela eſt baſi
C B: eſtquè tangens I M parallela ipſi B A, cum ambo ad diametrum I L ſint
11Prop. 5.
lib. 2. ordinatim applicatæ; pariterquè I S parallela eſt B E ( cum ſint ad axim per-
pendiculares ) igitur triangula M I S, A B E ſimilia erunt; pariterquè trian-
gula D I S, C B E erunt ſimilia: & ideo M S ad S I erit vt A E ad E B, &
S I ad S D erit, vt B E ad E C: quarè ex æquali ordinata M S ad S D ean-
dem proportionem habebit, quàm A E ad E C: eſtquè quadratum I M ad qua-
dratum N D, vt M S ad S D; ergo quadratum I M ad quadratum N D eſt,
22Prop. 4.
huius. vt A E ad E C, & c.
372[Figure 372]
SECTIO TERTIA
Continens Propoſit. Apollonij VIII. IX. X.
XI. XV. XIX. XVI. XVIII.
XVII. & XX.
VIII. IN hyperbola, vel ellipſi quadratum axis inclinati, ſiue
tranſuerſi ad quadratum ſummæ duarum diametrorum
coniugatarum eiuſdem ſectionis habebit eandem proportionem,
quàm productum præſectæ axis in ſuam interceptam compara-
tam ad quadratum ſummæ ſuæ interceptæ, & potentis compa-
ratarum.

Text layer

  • Dictionary

Text normalization

  • Original

Search


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