Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

Table of contents

< >
[31.] Lect. IV.
Page: 222 (29)
[32.] Lect. VII.
Page: 249 (56)
[33.] Lect. VIII.
Page: 256 (63)
[34.] Lect. IX.
Page: 263 (70)
[35.] Lect. X.
Page: 268 (75)
[36.] Exemp. I.
Page: 274 (81)
[37.] _Exemp_. II.
Page: 275 (82)
[38.] _Exemp_. III
Page: 275 (82)
[39.] Exemp. IV.
Page: 276 (83)
[40.] Eæemp. V.
Page: 277 (84)
[41.] Lect. XI.
Page: 278 (85)
[42.] APPENDICUL A.
Page: 287 (94)
[43.] Lect. XII.
Page: 298 (105)
[44.] APPENDICULA 1.
Page: 303 (110)
[45.] Præparatio Communis.
Page: 303 (110)
[46.] APPENDICULA 2.
Page: 308 (115)
[47.] Conicorum Superſicies dimetiendi Metbodus.
Page: 310 (117)
[48.] Exemplum.
Page: 311 (118)
[49.] Prop. 1.
Page: 312 (119)
[50.] Prop. 2.
Page: 312 (119)
[51.] Prop. 3.
Page: 313 (120)
[52.] Prop. 4.
Page: 313 (120)
[53.] APPENDICULA 3.
Page: 314 (121)
[54.] Problema I.
Page: 314 (121)
[55.] Exemp. I.
Page: 314 (121)
[56.] Exemp. II.
Page: 315 (122)
[57.] Probl. II.
Page: 315 (122)
[58.] Exemp. I.
Page: 315 (122)
[59.] _Exemp_. II.
Page: 316 (123)
[60.] _Probl_. III.
Page: 316 (123)
< >
page |< < (115) of 393 > >|
308115
B Revitati ſimul ac perſpicuitati (huic autem præcipuè) conſulentes
præcedentia recto diſcurſu comprobata dedimus; qualinon mo-
do veritas, opinor, ſatis ſirmatur, at ejuſdem origo limpidiùs appa-
ret. Verùm nè quis, minùs hujuſmodi ratiociniis adſuetus, hæreat,
iſta paucula ſubdemus, quibus tales diſcurſus communiantur, quorum-
que ſubſidio non difficilè conficiantur _Propoſitorum demonſtrationes a-_
_pagogicœ_.
I. Sint quotlibet _rationes_ A ad X, B ad Y, C ad Z, ſingulæ deſig-
natâ quâ piam ratione R ad S majores; erit _omnium antecedentium_
(ſimul acceptarum) ad _omnes conſequentes ratio_ major ratione
R ad S.
11
A. X. # A. M.
B. Y. # B. N.
C. Z. # C. O.
Nam ſint rationes A ad M, B ad N, C ad O ſingulæ æquales ra-
tioni R ad S. ergò X & lt; M; & Y & lt; N; ac Z & lt; O. patet igitur
fore A + B + C. X + Y + Z & gt; A + B + C. M + N + O.
hoc eſt A + B + C. X + Y + Z & gt; R. S.
II. Hinc patet, ſi quotlibet rationes ſingulæ deſignabili quâcunque
majores ſint, _antecedentium ſummam ad ſummam conſequentium_ eti-
am deſignabili quâcunque majorem rationem habere.
III. Sit curva quævis ADB, cujus axis AD, & ad hunc

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


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