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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 105r

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: 0.89.

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. 104v); this page is its right half.

The machine reads it as

  1. assumitur ad gtadum nonum, pater e rerum terniones
  2. e 8 biniones esse 36. Quarum tiens est (a 12. verum
  3. quia multiplicad est per arbitrarias, ide an ideo fortasse id
  4. g corrigitur. Ut vero dicam haec Meditatio
  5. nondum satis perfecta est, vitetur tamen aliquid pulchium
  6. in ea latere plamu exemplis brevibus; satis adtur aqua haeret
  7. E inspiciamus exemplofacila
  8. + bx +c
  9. C
  10. (1
  11. X + bx + C =0
  12. 20X + 21 20X +2. 20. 21 X + 212
  13. Cum sint 2 rerum Uniones 2 debet
  14. aequatio ex comparnioe orta
  15. asingere ad secundum gradum, sed
  16. 2a
  17. 10X + 11 10X + 2 0 aIX, 1
  18. + 20X + 20bX + 20.C.
  19. (=10X= 1 bX = 10C = 10X 12010.1+
  20. + 10 X + ∞. 10. 1X + 11
  21. 20 X + 2. 20. 21 X + 21
  22. 11 = 2 20. 21 - 20 b + 10b, : 2.10
  23. tautum ive freret enim et H = 4 2 X 11 = 21 - 20b. 2. 10 +a
  24. videamus an ad unum tantum
  25. sed viden non
  26. posse ad unum
  27. absurdum
  28. ut 10 =2 et 204 fiet seu daretur
  29. 11 = 21 = b + b - 2p - 36
  30. et n= v 21 -6. 21b + 9b
  31. quem valorem ∞8 substituendo
  32. in aequ. ex termino altrmo, utrobque
  33. evanescit 21
  34. et (b, = 4 + (217=6. e1 b + 9b = (2Y). ergo 21= e 3b - 45. 2b
  35. c
  36. X + bX HG
  37. +_X AbX +IC
  38. = 4 X + 4bX + 4C
  39. + e X 4. 11X + 11
  40. 16X + 8. 21X +
  41. ED X sunt 21 termini
  42. restage solu debent X, X3. X
  43. 2X + 11
  44. Ax + 4_11 X + 11
  45. 4X + 21
  46. 1bX + 8.21. X +21
  47. solutio aequationis quadraticae
  48. per communem. ideo methodus
  49. haec non precedit
  50. 45. X id est 5. Ergo tolluntur termini b
  51. sed arbitrariae sunt plummodo 15. iaque prius praeparanda esset aequatio
  52. 1260
  53. 24
  54. sunt tenmini 31. si jum restere debent X.
  55. id est Termin 8. ergo tollendi termini 25, cum tum sint arbitrariae solum 24
  56. Y
  57. non succedit nnisi in casu particulari
  58. dato. sic

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 105r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0209?run=74