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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 37v

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: 0.73.

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. 38r); this page is its left half.

The machine reads it as

  1. X aequ. a.
  2. y aequ ab.
  3. Z aequ. abc.
  4. X aequ. 9. a aequ. X - 2y.
  5. 1
  6. eo aequ. abcd. 258 16
  7. 8
  8. a+ a b aqu. Xa. . Ergo per 5. fier a + ab ae qu. X- 2Xy
  9. 96
  10. 19.
  11. 96
  12. Rursus q. ab +3Z aequ: xy. seu aeb aequ. Xy - 3Z. Ergo a aequ. X - 2Xy - xy + 3Z
  13. Ergo a aequ. X - 3Xy + 37.
  14. (12)
  15. abc aqu. XZ - 4c0 aeb + 2 a b + 6 co aequ. y. Ergo aeb aequ. y + 2c0 - 2XZ
  16. s
  17. V-A
  18. 2XZ - 8c0
  19. 6 36+Z 3t
  20. (14)
  21. ab + aebc Coqu. ya aequ. Xy - 2y. Ergo ab aqu. Xy - X7 -2y +4co
  22. +(16)
  23. x7- 400
  24. 156
  25. 12
  26. 96 - 1 - g2 + X
  27. a + 2a V (aequ. a, a) aequ. X- 4X 7 + 47. Ergo a aqu. X - pXy + 4XZ + 2 y - 9c0
  28. na
  29. 2y 14c0 4r2
  30. A 256 384+61 +72 4
  31. pernuntur ex Tabula formarum in se invicem
  32. ductarum modum autem probandi, sumsimus ex labula exemplorum cujusque
  33. fforimae, ponendo, quodlibet exemplum 1.C
  34. Hinc patet posse omnes formas resolvi in X. y. Z O. et ex
  35. his facta
  36. a CX equ. a + a b. aequ. X = 4X y+ 4X Z 1 2Y. quo
  37. Hinc jam si sit aequalio aliqua ut X a b aequab a - ab c
  38. A5XCo - 5γX
  39. a aequ. X - 5 Xy + 3 XZ + 5Xy 2yZ 1 5 H.)
  40. c
  41. v a3S ac b3
  42. Ier abe2
  43. i
  44. ad b3
  45. be a
  46. rgo a b aequy, a- ab. bd a3
  47. cd a3
  48. set abe aequ. abc a = abed d 13
  49. abeaequ. Z a = Co X
  50. Ergo 4)
  51. a bequ y a - 7 a + COX
  52. a
  53. dc
  54. ab ego Xy. 22 ) +CX
  55. 3VZ
  56. 64 14
  57. 8
  58. c
  59. 5
  60. 8 aequ ∞0. 8
  61. 14
  62. A
  63. (Ergo aequ. X - 4Xy + 4XZ + 2X y - 4XW
  64. -Xyt s 1
  65. X
  66. +3Xyt, 2 -5yZ
  67. = XCo
  68. In a aq ss exy aexrin Xco sy
  69. o
  70. 7
  71. d
  72. X aequ.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 37v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0076?run=74