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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 15r

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: 0.80.

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

The machine reads it as

  1. ea
  2. Lem. 25.5
  3. L. 2, 5. 5.
  4. Lem. 2. 5.
  5. 1
  6. Hypoth.-
  7. THF0s...
  8. c = bd- + cd b +c = d
  9. b- + c = d
  10. + c - d bc - bd d
  11. b6 t CC = = bc
  12. 12bb t dd = 2 bd
  13. S. Pr. Anal. 13
  14. cc. 1 dd = 2 cd
  15. Demonserat.. Synes..
  16. 1 + 12 +1314 : 2 bb + 2c + 2 dd = 2bc 1 2bd + 2 cd
  17. 14 (2 15 : bb L cc + dd = bc = bd L cd
  18. 15 -- 16
  19. 6
  20. 17
  21. en
  22. 2bd 1 2 cd
  23. : bb + cc + dd
  24. =- 2bd = 2 cd = bc -- bd - cg
  25. bb F cc F dd
  26. + 2 bc- - 2 bd
  27. 2 cd
  28. = bc queu
  29. Sed . -- bb- + cc + dd
  30. L2bc - 2 bd
  31. b + c - d
  32. cd
  33. b +c d) bc - bd-
  34. bb. + cc + dd
  35. Fbc + bd + cd
  36. 22- + bc. bbd + cd
  37. Aliter.
  38. 21 - =2 23: bb + cc - + dd - bc - bd - cd
  39. + 24 2bc -- 2bd - 2cd
  40. 3p 18
  41. 28]: bb + cc F dd
  42. +26c - 2 bd bc - bd - cd
  43. 2cd
  44. 26: ut prius .... in num . .. . . 20
  45. 1
  46. b- F c = d.... .. . . . . - bc bd. F c d
  47. 3 . .- 2 b = C L d . . . . . . . . . :. bc =bd F cd
  48. 5
  49. b Fc = d...-
  50. 4 b- F c L d . . . . . .
  51. 5 b-+c - d .....
  52. ... bc = bd - + cd.. Si..
  53. -. bc = bd. F cd.... empossibil...
  54. --- = bc- + bd- + cd
  55. 6 -- b -- c- f a ......... - bc F bd f cd
  56. b. =c - d . . ... ... . . .. - F bc -- bd - cd
  57. 8, 15
  58. q
  59. 0
  60. cd.......- quod evat demonstrandum.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0029?run=74