Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 43v

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

The machine reads it as

  1. De
  2. 4
  3. Qvaeritur
  4. 9. (m- 9. m.) mt g. an possint
  5. simul omnes, esse quatrati
  6. seu an M- G et M +C9 simul possint
  7. esse quadrati. ponendo m et G esse
  8. incondioisibiles
  9. ergo M + G et M -G sunt quadrati
  10. e M + Gr e
  11. Ergo M +G + 2G M est quadratus
  12. N.
  13. a
  14. Ergor +B M + GB _
  15. M - G
  16. M-Gr 2
  17. Ergo M F= G. H
  18. 12
  19. + G
  20. Ergo G5 B2 90. et M +2
  21. 4
  22. Ergo +2 (2pign), p
  23. e
  24. pa
  25. B44 9 p 2 quadr.
  26. esse ostendendum est
  27. +
  28. ot
  29. 2p 190)
  30. M + G1
  31. s
  32. E S+ GBM
  33. Ergo R2 G15) 5 +G2. Ergo R 5+2G
  34. M-G5.
  35. M. 5 1 G2
  36. R. M HG
  37. u
  38. 1 -G2, M
  39. P= M
  40. R- 52 H2. nI =
  41. R,. A 2 N- 5.
  42. quad quad
  43. M + G. M - G.
  44. quadr. quadr
  45. M + S, M - 5
  46. quad quad
  47. R+M. R- M
  48. quad quad
  49. R + G. R- G
  50. Jaut duplus. dupliquadant quad.
  51. R+ 5
  52. Lu H
  53. 1 quad
  54. quod est imposibile
  55. 4-221) Z Ce 2 quadr = 2. 2
  56. 2
  57. R- 3
  58. .Ergo. M
  59. Ergo M- Sp
  60. 2. 71
  61. X5
  62. M= S R - MV
  63. +M seu R+M, R - M M+ S, M. 5.
  64. A. M. s. non sunt comprensurabiles
  65. R- M H. Ergo RB A+M.
  66. M

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 43v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0088?run=74