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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 251r

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: 0.76.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 250v); this page is its right half.

The machine reads it as

  1. 13) ( na + p ab + q4 abe + r abed + sabede + fabedef + v ab cdefus)
  2. (2) n a + 12 ab + 13 abc + 14 abed + 15 abede + 16 abcd ef + 17 abedefg
  3. 11. H a. a + 2. 1112. a. ab + 2. 11. 13 a. abel + 2. 11. 14 a. abc d + 2. 11. 154 a bcde + 2. 11. 16. a. abede f. +2. 1. 17. a. abedes
  4. + 1 12. 12 ab. ab + 2. 12. 13 ab. abc + 2. 12. 14 ab. abcd +2. 12. 15 ab. abede + 2. 12. 16 ab. abed ex
  5. + 1,, abc. abc +2. 13. 14 abc. abid + 2. 13. B3 abe. abide
  6. Et explicando biniones combinationum
  7. 1.1I. 11 1 a = +, 1. 11. 2, ab
  8. F . 12. 2, a. +, 1. 12. 3, abc
  9. 1-
  10. + 1. 14. 4 abid abic
  11. +2. 11. 13. 3, .. +2. 11. 13. 4, abid
  12. +2. p. 14. 4, 0- +2. 11.14. 5, abede
  13. l. 12. 1219. F 1. 1212. 3, 1. + 1. 12. 12. 6,..
  14. + 2. 11. 15. 57 . . . + 2.11. 15 6, abedes
  15. +2. 1213. 3, .. +2. 12. 13. 6, 1. +2. 12. 13. 18,..
  16. +2. 1 166, a. + 2 1146. 7, abides ge
  17. +2. 1214. 6, .. +2. 12. 14 10, -. + 2. 12 14. 15,..
  18. +2. 12. 15. 10, .. +2. 12. 15. 15, .. +2. 12. 15. 21,0
  19. +2. B. 16. 15,. - +2. 1. 16. 21, .. +21216. 28, a
  20. F1. 13,13. 4,.. +1. 13.13. 10, . F1. 13, 13, 203..
  21. +2. B. 14. 4 .. +2. 13. 14. 10, .. +2. 1314 20,.. +2. 13, 14.35,.
  22. +2. 13. 15,. 103.. +2. 13. 15. 20, .. + 2. 15. 15. 35, a f2. 13, 15 569..
  23. + 1. 14 4 1,, +1. 14. 14.5, +1. 14. 14. 15 . +1 14 14. 35,. - + n 1+14. 7..
  24. 4
  25. +2. + 15.5y 42. 145. 15, .. +2, 14. 15. 35, , - 1 2. 1. 15 70,. +2. 145. 126, .,
  26. +2 14. 16. 15, .. + 2. 14 1b. 35, .. +2 14 16 n 707 + 244. 16. 12b, .
  27. 4 1. 1414. 1, .. +1. 1414. 5,.. +1. 14.14. 15, . +1. 1419. 35, . F 1. 4.9. 20,..
  28. si jam D = oa + pB ab + 12 abc + 13 abcd + en
  29. +2. 14. 15. 5, .. + 2. 14. 15. 15, . + 2.14. 165 349,. 1 2.1 41 5. 1, . 4
  30. +2. 1416. 15, . +2. 1416, 357.. +2. 14. 6. 19, +
  31. siit (3) - D = _ La l, 1a + 12ab + B abc + 19abcd + et. cuius quadratum erit quale praescrinsamus, ductum in L.
  32. id quadeatum diberet aequari ipsi C), seu issi a F a 2ab + 4 abc - 8 abed sed hinc sequeretur, si l = 0 fore 1) - D = 0
  33. quat s et D sunt aequales, si non ideo eruit eut OO nihil enim prohibet ess C esse 1
  34. O = 11a. + 12 ab + 13 abct ex (0) = n a + PB p 1 a L: nap + - 2 . 11 ap - 2p2 abp - 2. 13 abep etc.
  35. 12 ab -
  36. = 11 (a) + 12 (ab) + 13 (abC) 4 et C. Ergo fit sed 1(a) = 1 a + up
  37. 14) F - 1) 4 + 24. F=
  38. (8D-3 +(8) +7 = 4, 1- = qu (7) 7) = (2 + 2 2)8. unde
  39. 8 seu qu qu ((2) - 4) =
  40. 2(1) 4-15)8 4) +2 E (2) - P4+ e (8) = 8+ 7
  41. E2) F 221 ( 4 Y7 - (21) 1 2 (221) + F (
  42. 7
  43. quen 2- t=
  44. an = 4, e+ () - 218
  45. 7)4 - 12) +2+ = 2
  46. seu 1 g = 11, 24
  47. = 44- 14) 4 _ = (2) + 4 = 2(4)4
  48. 24 3
  49. .quia (2)-4 = (036Y, 1- 24 et V(8)- 8- 108884, 1 29
  50. (21) - 2 4, 1-28
  51. erit (27) - 7 et (+) 4 = (3
  52. 2
  53. 1-22
  54. 193- = 260- (36 1675) seu 10 -4 33 = seu D, 1 -8) = 37
  55. a
  56. D + = B, 26 - 1
  57. Iu4
  58. 1- 24
  59. Y1. 13. 13. 1, a
  60. = qu EZ) ((Y).
  61. D- D 3+2
  62. 3+ D3 = 20- f

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 251r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0501?run=74