Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 451

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: 0.78.

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

The machine reads it as

  1. PFOP. CI XXXII. LNFENETORUM.
  2. Vel (posito m = 1 F F;) 3mV3 e 3m 12 + 12 m13 == m12. Ouxe icaque ett
  3. Tumma Seriei Guincanorum ab o inchoatorum, quorum ulcimum est 15: e termi-
  4. norum numerus m =1 = F.
  5. 27. Ad eandem Formam; Cum sic character Numeri
  6. egramidi. prramidalis 720) F 25B + 85 H + 225P + 274P + X207. 1. r. b
  7. Frianguli ctiang uli. Pyram. 5040) P. + 21 V F 275P. + 735P f 1624P + 17645 +7 201
  8. A deoque omnes 720) a = 15 a3 = 85 a2 + 225 a3 + 274 a + 120a
  9. lint
  10. Hloc elt, omnes
  11. SInE
  12. 15040) p +211 + 175P + 7358 + 1624 + 1764P + 7201.
  13. a F2545 = 85a2- f 2252 f2748 f 120a.
  14. 7) +21P + 175B. +735B f 16245 + 1764P 47201.
  15. 28. Suneque Omnes 120 a = - 1201 =60P. +601.
  16. Omnes 274 a2 =
  17. 227417 +
  18. (=2747 = 91 313 + 9c37
  19. Omnesars a = = 225 1 + = = 225P-
  20. 56+7a + 56+13
  21. +56113+56+72
  22. Omnes 85a = = 285 1a + 3(t 3 85 7. +
  23. = 2713 + 2772
  24. +25311 + 25513
  25. +
  26. = 2513 + 231
  27. -2312
  28. Omnesque I5 a (per jam modo demonstrata)
  29. +
  30. = 45312 + 4
  31. 85
  32. =151 + = 251 + F = 15B-
  33. = 310 + 31.
  34. +5B +534
  35. + 574 + 313
  36. 29. Eric harum quinque summarum Aggregatum,
  37. 515- F 24373 = 1051+ 2325B = 25217 4 10231.
  38. Hoc est 6) 1510. = 247 33 + 630 12 + 2393 1 + 1512Y + 6771.
  39. Ouod itaque, una cum omnibus a5, complet incesrum
  40. 7) n F 2216 + 275B. f 735 P f 5624B + 176417+ 7301.
  41. 20. Si ex hoc ilaque subducatur illud habetur omnium a dexrexatum: vel
  42. (sumpro communi denominatore)
  43. Si ex 42) 61 + 1261 + 20501 + 4420 N + 9744. P + 10584V + 43201.
  44. Subducatur 42) 105P f 1029B + 4410+ 975rB + 10584P + 43791.
  45. Rectabic 11 42) 61. F 2TF F 2FB
  46. 7B
  47. Duxe icaque ese summa omnium a, ab o inehcalacum, quorum maxioaum est 5 et
  48. omnium numerus m = l+ 2.
  49. HOC ett, 61+675
  50. 12)
  51. F2516 F 15
  52. + 613+61
  53. 614
  54. 1
  55. 851=
  56. 151 =

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. 451. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0471?run=74