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

< >
[21.] IX.
Page: 40 (2)
[22.] X.
Page: 40 (2)
[23.] XI.
Page: 40 (2)
[24.] XII.
Page: 40 (2)
[25.] XIII.
Page: 40 (2)
[26.] XIV.
Page: 40 (2)
[27.] XV.
Page: 40 (2)
[28.] XIV.
Page: 40 (2)
[29.] NOTÆ.
Page: 41 (3)
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
Page: 43 (5)
[31.] PROPOS. II.
Page: 43 (5)
[32.] PROPOS. III.
Page: 44 (6)
[33.] Notæ in Propoſitionem primam.
Page: 44 (6)
[34.] Notæ in Propoſitionem ſecundam.
Page: 45 (7)
[35.] Notæ in Propoſitionem tertiam.
Page: 45 (7)
[36.] SECTIO SECVNDA Continens propoſitiones IV. V. VI. Apollonij.
Page: 45 (7)
[37.] PROPOSITIO IV.
Page: 46 (8)
[38.] PROPOSITIO V. & VI.
Page: 46 (8)
[39.] Notæ in pro poſitionem quartam.
Page: 47 (9)
[40.] Notæ in propoſitionem quintam.
Page: 48 (10)
[41.] MONITVM.
Page: 50 (12)
[42.] LEMMA I.
Page: 51 (13)
[43.] LEMMA II.
Page: 52 (14)
[44.] LEMMA III.
Page: 53 (15)
[45.] LEMMA IV.
Page: 53 (15)
[46.] SECTIO TERTIA Continens VIII. IX. X. Propoſ. Apollonij.
Page: 54 (16)
[47.] PROPOSITIO IX. & X.
Page: 56 (18)
[48.] Notæ in Propoſitionem VIII.
Page: 57 (19)
[49.] Notæ in Propoſitionem IX. & X.
Page: 59 (21)
[50.] SECTIO IV. Continens Propoſit. VII. & XII. Apollonij.
Page: 62 (24)
< >
page |< < (60) of 458 > >|
9860Apollonij Pergæi
SECTIO NONA
Continens Propoſ. LVIII. LIX. LX. LXI.
LXII. & LXIII.
I Am ex puncto dato C extra, vel intra ſectionem A B (quod
11a in axi I A non ſit) poſſumus rectam lineam ducere, cuius
portio intercepta inter ſectionem, & axim ſit linea breuiſſima.
PROPOSITIO LVIII.
Sit ſectio parabole, & producamus perpendicularem C E ſu-
per I E A, & ponamus E F æqualem dimidio erecti, & du-
camus G F parallelam ipſi C E, & per C ducamus hyperbolen
224. lib. 2.33b H C B circa duas continentes illam G F, I F, quæ occurat ſe-
ctioni A B in B, & per B, C producatur linea occurrens con-
tinenti I A in I, & continenti G F in G: Dico, quod B I eſt
linea breuiſsima.
75[Figure 75]
Producatur perpendicularis B K. Quoniam C I æqualis eſt B G (sexta
44C ex ſecundo) erit E I æqualis K F, & E F, K I erunt æquales, atque ſup-
558. lib. 2. poſita, eſt E F æqualis dimidio erecti; ergo K I ita eſt pariter; Quare
B I eſt breuiſsima, (octaua ex quinto) & hoc erat probandum.
PROPOSITIO LIX. LXII. & LXIII.
D Einde fit ſectio hyperbole, aut ellipſis, cuius centrum D, & lineis,
66a atque ſignis in eodem ſtatu manentibus, ponamus D F ad F E, &

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


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