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Leibniz-Handschriften zur Mathematik LH 35, 3 A 6, fol. 5r

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: 0.83.

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. 4v); this page is its right half.

The machine reads it as

  1. Nunc ut valorem literarum radicem seu aequ. 3 ingredicubium
  2. inveniamus, ita opinor commodissime procedemqu:
  3. ope aequationum H1. et 11. tollamus C. fet. Nimorum
  4. (6 (12) en
  5. dividatur primum aequ. I1 per aequ. 1o. fiet: aequ
  6. seu
  7. l
  8. 3
  9. aequ C
  10. (14) B
  11. 8b256 e5
  12. Ergo c aequam
  13. 862
  14. 9 (16)
  15. 641)
  16. 1
  17. 5
  18. s
  19. 8bI
  20. ( (15) 512(6f18
  21. et C aequ
  22. C
  23. 15
  24. 17
  25. 512 bF18
  26. sed per aequ. 10. est = C aequ. 8b e. Ergo per 15 erit 8b aequ
  27. 20 (18)
  28. 15
  29. vel e aequi b.f1d. jam loco b. e. f. substituantur ecrum
  30. valores ex aequationibus: 5. 8. 9. fiet.
  31. 8, 12 ((19)
  32. (20)
  33. 16n p aequ r + m, (3) WW+p, vel _Yrn WAp, W + p aqu. 2n p
  34. 2 (21) 45
  35. vel n aequ Vrim, m+ pe x W + p
  36. 2β p3.
  37. 2l
  38. L
  39. Terravimus in praecedenti
  40. folio cum initio hunc
  41. calculum fageremu, ponendo
  42. Y pro-
  43. Faciamus W+ p β aequ 2p3. contrahendi caleuli causa, ipsa
  44. litera B. numerum arbitrarium significante, et habebitur
  45. valor ipsius p aequatione plana: et ex aequ. 2 1. fiet
  46. 2
  47. 13
  48. n aequ
  49. ex aequ 22.
  50. restant adhuc duae aequationes
  51. (24)
  52. Una: n aequ Y+ + 2mp3 per aequ. 7.
  53. (16)
  54. altera (3 aequ. ( + 2mn ex aequ 6. Jam per equ. et erat c’equ
  55. e
  56. 5
  57. et ex aqui pro b2 s et substituendo vatores, fit jam jam per aequo 14
  58. erat C3 aequ. = 8 b256
  59. e
  60. , seu
  61. =erm, uetp eqo Frmn.
  62. 2 y2 p3
  63. sed ad hoc prestandum non satisnullae supersunt arbitrariaeqe nisi
  64. omissis aequationibus 22. 23. redeamus ad aequ. 20. et 21.
  65. sed facile conjicerelicet nihil
  66. aliud ex hoc calculo
  67. duci posse, quam quod jam notum est

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 6, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068219:0009?run=74