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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 181v

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.

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

The machine reads it as

  1. adec
  2. si a, b, c, etc sint notae dgadicae, valcantus. O vel 1, et itat et proinde potentia
  3. notae sit ipsi notae aequalis, fiet:
  4. e
  5. 2 a = 1a + 2 ab a. ab = 2 ab + 3 abc a. abc = 3a bc + 4 abcd
  6. e
  7. 1
  8. et
  9. 1224 5
  10. 6 10
  11. 141020 C.3
  12. 151535
  13. 162166
  14. ab. ab = 1 ab + 6abc H abed ab. abc = 3 abc + 12 abid + 10 abcie ab. abcd = 6 abcd + 200b1 de + 15 abed et
  15. abc abC = 1 abc + n abid + 30 abede + 20 abcdes abc. abcd = 4 abid + 20 abcde +60 abcd. + 35 abcdefus
  16. a
  17. Hinc habetur progressus in infinitum. Nempe numeri Naturales in quovis valore duclorum
  18. a
  19. res
  20. vulore ductorum per ab ducuntur in 1.2. 1. quatuor numen pystamivares
  21. 1a + vab a. ab 2
  22. Et ita porro
  23. in quovis vatore productorum per abc d ducuntur in 1. 3. 3. 1. (Et numeri
  24. 1
  25. coifficieales ita stabunt
  26. 4
  27. 6. 10
  28. 2
  29. 3 = 12. 10
  30. 4. 10. 20
  31. 1. 12. 30. 20
  32. em
  33. pergendum jam esset ad
  34. et
  35. c
  36. 6. 10. 15
  37. 11 2- 1
  38. 6- 26. 15
  39. 4. 10. 20. 35
  40. 3
  41. 3
  42. 4. 30. 60. 3)
  43. producta ex tribus
  44. 10. 20. 35. 56
  45. e
  46. 3 - 3
  47. 1
  48. 10. 60. 105. C
  49. et ex quatuor, et ita poroos
  50. credendum enum tunc quoque regulas prodituras

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 181v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0362?run=74