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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 173

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.82.

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  1. Cap. XXXIII. GEROMETRTCA. L
  2. AV = _1 B, erit MN = Y, e M
  3. A
  4. V
  5. . vel etiam = - : hOC Mt HL. A:
  6. V. NI. _c NV. A:: V. M. Nam Singulis his modis proporcio concluditur.
  7. 29. Finc sequitur; Si quacuor termini tinc proportionales, sune de inverse
  8. (aranan) proportionales. Puca si A. M:: N. V. ENIE (PEr. Pr. 38) AV =NVI:
  9. ideoque, (ut ottentum clt, PCOp. praeccd. ) M. A:: V. V.
  10. 40. Icem; si quacuor termini linc proportionales, lunc es alterne (permutarim,
  11. viciltim, cramras,) proporcionales. Puca si A. M:: N. V. adeoque AV =NN
  12. CFIE A N:: M. V. uc clt octentum pr. 38. TcEM, NV. A: : V. MI. uVibId. d PF. 30.
  13. 4T. POrrO, Si quacuor proporcionatium vel primus de certius, vel secundus de
  14. quareus, aequalicer rel mulciplicentur vel dividaneur manene adtue provorciona-
  15. Les. Puca si A. M:: N. V, hoc elt A. AR:: N. NR; (ubi communis ratio est
  16. R;) eru ee A. MB. : N. VB, hoc est A. A RB: : H. NR B. (ubi communis ratio
  17. CM R B) Trem A. B) M:: N. B) V. hoc cAt A. B) R A:: NV. B) R N. ebI COm-
  18. nis ratIO esFB) L. Simititr H A. M:: N. V. hoc estR) M. M:: R) V. V. eric
  19. B) A. M:: B) N. Y. hoc est BR) M. HI:: BR) V. V dec. Vel Sic. Si - cum
  20. A
  21. B = B. _B) = B) . Sire (quod cancumdem eA) L -
  22. BY. Vel eciam C)
  23. CY. dc.
  24. r
  25. n =c, 10
  26. AB NB
  27. M
  28. D
  29. ee
  30. BM
  31. 42. Tiem, Si proportionales Fuerine cum A. M: : N. V. TM a. N: : r. v. eum
  32. a. m:: n. u. (cum li placet quarerni, plures quorlibec;) erunc iem cum tacti,
  33. eum dividendo orei (Terminis respectire tumpeis) cermun proportionales. Elto
  34. enim in primis ratio R, in secundis e in cereiis r. Adcoque A. NI = A K:: V. V
  35. = NR. ITe a. N = a8: : v. u = VC REa. m = a r: : n. W = nr. KCBO (per PFOV.
  36. 4F.) AaA. MUm = A Rapar:: NVn. V VA = NRrSNr. HOC est Aaa.
  37. AaaRBr:: Nrn. Non Rer. ubi communis racio est RPr. Pariter _ A a. M~
  38. A a RP N, V0
  39. NVRS
  40. . Eire a) A a. a1) Aa R5: : n) Nv. nr) NV RP. ubi
  41. communis uirobique racio cA C vel r) RP. Vet SC
  42. A.
  43. M = AR::
  44. M = ar
  45. Aa4. MP. m = Aaa Rer:: Won. VvV = LV nR
  46. Aa NIV. AaRB ND VV NVRS
  47. M
  48. ar
  49. n
  50. 43. Sed de idem obrinet in continue proporcionalibus. Quod similiter pro.
  51. bandum erit. Puta,
  52. Si A. B. C. D. L =: vel A. AR. AR ~. A R3. AR a:
  53. EF
  54. a. B. y. 5. E = vel a. a
  55. :.
  56. Erunt Aa. BB. Cr. DS. BE:: vet Ac. ACKP. A∞R5. AaKP. AaR5t..
  57. EF
  58. B C D H
  59. B
  60. ve
  61. AR A R A R A B
  62. 15 ac ast
  63. 44. Tx quidem, licet altera progrestio crescens tuerit, allera decrescens. VE B
  64. Cum A. AR. A R 2. AR3. AR 4. :. tM a. 5) a. P=)8. 83) a. P2) a. . exIt CtiaM
  65. Aa. 5) a AR. P2) a AR2. 53) a AR3. P2) a AR ~. :: uE patet; quixpe communis ra.
  66. ti0 elt s) R
  67. Arque hujusmodi complures proporcionalium immutationes de comparationes
  68. Facile

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 173. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0193?run=74