Leibniz Legible

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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. 471

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: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Prop. CXCI.
  2. INFIALLOKUM.
  3. 4Fc. F ETF 4Fc. F 24. F 9 + 59F + 54-
  4. 4F9 + d
  5. 4F 9 = 26F = 25
  6. 16F0C + 96Fc9 + 280F 94. + 480F c. + 648F 4. + 594 F
  7. 16F99 f64F c f 136F9 + 144 F + 225
  8. quod minus est quam quactrarum Fg + 2 F + F =
  9. 26FcC + 96F c9 + 280F99 + 480 Fc + 649F 9 f 594 F = 225
  10. 16F99 +64 Fc + 236F9 = 244 F = 225
  11. FE SC quousque procedatur, prodibit rectangulum quod erit nunc minus nune
  12. majus (alternis ricibus) quam expolicum quadratum, (quae tamen difterentia
  13. perpecuo minuitr, uc paret,) quod crat demonstrandum.
  14. Hlis aucem sic inrenris; poterune illa ad series nostras ica accommodari, ut inde
  15. innoceseant termini in cabella deliderari juxra hunc nocationis modum designandi.
  16. Exempli graria; (Dotto A pro primo cermino cujulris lerici.) Pabellae noltra
  17. SCTIES PFIIA COMPONIEUE, (uc lupra ostensum est) in locis imparibus, ex conti-
  18. nua mulciplicatione. AXZX Z XZX3 _C. vel AX 3 XZX Fo X L _C. Et in locis paribus
  19. XX5XZX 3XBeC. Vel XX Z X 8x 12 X 1F ec. HIOC CA
  20. Ox2)00(2
  21. = 24
  22. 426)4 (8
  23. 1=22+ 36
  24. d e
  25. 8x70)98(10
  26. 14 2a
  27. 1818+
  28. =27 23
  29. 10
  30. 2.X4) 2(3
  31. Vel eriam, (quod eodem plane recidic,) ad hanc Formam.
  32. 2) Ox2 (2
  33. AX - - X --
  34. 96) 476 (2
  35. QTO)BXTO(
  36. X - XE
  37. 222+ 368, 5103, 7a 2, d18 8 ZX 3 2
  38. (3 2636
  39. C4) 2n4 (2 98) 648(8 VT2) IOX12 (15
  40. Orroris modo, rationes quibus numeri vel paribus rel imparibus locis ponendi
  41. constimuneur, resolvi pollune in binas (uc patet) quibus constituantur numeri
  42. locis continuis ponendi; numeris nempe locorum cum parium cum imparium in
  43. unam seriem interpolatione mutua redactis.
  44. Similiter in serie certia, cujus numeri in locis imparibus potici, constituuntur ex
  45. concinue mulciplicatis AX Z X Lx S XG _c. vel AXZXSX 13X 15 eC. FF Locis paribus
  46. XX ZX3 Y3X8 _C. vel LXX 1GX 1Ex 1 _c. HOC ett
  47. 2X4) C+ (3 678) O8(8
  48. 863, 510,3+ 14 aF
  49. 20e1t) e l1o
  50. 10
  51. 4X6) 25(8 Bx1O) OO(8
  52. T2X24) 54 (1h
  53. Acque haec quidem abunde susticiant ad omnes tabella nOArX nImerOS com-
  54. plendos, cum jam supra ostensum (u prop. 188. uno aliquo desideratorum inrento
  55. reliquos statim innorelcere. Si quis tamen cupiae, uE nOS seriei prima et tertiae
  56. rationes resolrimus, itq ee reliquarum serierum rariones irem reloluras habere.
  57. Poterit quidem de illud tieri, ita tamen, ut in serie quarra (hoc est, post unitatum
  58. seriem. secunca) exic racionum prodeuncium qualibet binembrisu in quiuca urs
  59. membris, es sic deinceps.
  60. Nempe
  61. 2O212) 10(13
  62. 3
  63. 628)0013
  64. d 1
  65. 336
  66. il

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. 471. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0491?run=74