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Leibniz-Handschriften zur Philosophie LH 4, 2, 11, fol. 4v

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: 0.87.

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

The machine reads it as

  1. a +b = a a +b - 2ab) ab
  2. 1 = ta iac 1+ abe
  3. -2ab- 2abc
  4. -4 abed
  5. 4aabe + q abed + 4 abide
  6. lG abid - 9 abide
  7. et
  8. et
  9. -8 abril. 5
  10. ex
  11. ab a + b +C = a + b - 2ab + C - 2ac - 2bc + 4 ab c12c + bc
  12. 2abc
  13. Htim consequentia si . a = b = c = d- ex et sit numer + ab
  14. fiet et sit nunerus n, fiet a
  15. n- 2 non - 1 + 4. h. n - 1. n. 2 . 8. nter n. n. 1. n. 2. n. 3, 16. n. n - 1. M. 2. M 3,
  16. .2
  17. 2.
  18. 12. 34
  19. D si esit par, et + si n sit im par 2. 3. 2 + 4. = 3- 6 + 4 - 1
  20. si n sit 3, fit 3-
  21. 62
  22. si atit a fit 4 - 2. 4. 3 + 4. 4. 3. 2. 5. 4. 3. 2. 1 -4 12 + 16- 32
  23. 1. 2. 3
  24. 1. 2. 3.4 20 - 44 =2
  25. 1. 4 - 2. b + 4. 4 - B. 1 = 4 = 12 + 16 - 8 = 0
  26. itaque alternis summa dato o vel
  27. 1 n. n - 1 = 2. n. n- 1. n- 2 + 4. R. n - 1. n- 2. M-3 = E
  28. 1. 2. 3. 4
  29. n. 2 - 1 - n - 2. n- 3. 24
  30. 3. 2. 3. 4.5
  31. et ita quousque licet, summa alternis dat 0, 0, 1,1. prout
  32. 2.3
  33. s D duplicetur et red quod prodit subtrahitur ibn
  34. crescunt n ner unitates
  35. podit n Erg O = n - 2D nema 2 videndum
  36. quomo hinc talis alternat sequatur
  37. pro summis a+b+ C, esc. Calenlemus summas ex conbina honibus, eb 6.5. 4
  38. aprimum ex binionibus ab + ac + bc = ab -b 2. n nab
  39. 1.2.3
  40. si ab +ac + bc tek sut A+B+C + ea fit t AB = ADC ABC ABCd quia 6 rerum
  41. ab +ac + ad + bc + bd + Cd
  42. ab tac tad tae
  43. Betbd+be
  44. edtae
  45. de
  46. quia 3rem
  47. biniones 3
  48. ABCd = 210 aC quia 10 rerum
  49. quaterniores 2V
  50. 10, 9. 8. 7
  51. 1. 2. 3. 4
  52. 70.
  53. rermines 20
  54. Inde regula glaeratis facile construi popro Binionibus summandis
  55. ita perri potest ad
  56. Inde alia pro summandis ternionibus si ab C+ abd + aCd +b cd = A + B+ C+ d
  57. Haec utilia ad generales Calculos
  58. pro quadratis cubis, aliisque potentiis calculardis syadue
  59. Et, la porro.
  60. abc abd ab2 ab f
  61. Nam quadratum est summa omnium laterum, et summa omni
  62. In cubis adhibentur biniones e terniones nam in quad dyadicis
  63. una cum dupla summa oium biniorum
  64. ubi nullae potentis ab redit ad ab e) ab = 2 ab, nam
  65. p = a sit un = a + 2ab p = a + 2. 3 ab +, 6 abc = a +6ab +babe
  66. ab et ab coincidunt et sunt ab
  67. n4 = a + 24. ab + 1. 6ab + 3. 12 abc + 1. 14 abcd = a +14 ab + 3babet 24 abcd
  68. quid si hic potius ad hibeaum vatores t combinationum per potentirs
  69. 2ab = v a a = An -2ab N 2ab = nn - a et fit a = te a - nn L a = a - n
  70. a+b = n fit a+b = 2a- n sed B non est uius noto Ergo hic calculus no predit
  71. ab cd et
  72. ald ace acf
  73. ade ads
  74. aes
  75. beo decbes
  76. bde bdf
  77. be
  78. Ede Edf
  79. ce
  80. des

Cite

Leibniz-Handschriften zur Philosophie LH 4, 2, 11, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068571:0008?run=74