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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, 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: 0.81.

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

The machine reads it as

  1. e
  2. valtimo povembi
  3. (1)
  4. 017
  5. methuoi hemnontum inversae calculus
  6. 6+b + CX = Cy + fxY + q X + AY + lxy + mXy+uY
  7. e
  8. Py3
  9. ( + cdx + e dus + fxdy et 29 X dx +rhydus + lxdus = MNydys +1Nd
  10. Ak du (3)
  11. ex
  12. + fydx
  13. tElxyor +my dx 13pesu
  14. c+921fy c+fy+ 29X + 2l xY + my + 3n X
  15. et fxt 2hy+ +XC8t, nxy + 3pY
  16. s
  17. Aequatio diffe-
  18. assumtitia
  19. sit jam in dato problemate; aequatio differentialis data
  20. Ly (4
  21. a 1+ 2X +3Y + 4 Xy + 5 Xx + 6 y + 7X
  22. n
  23. dx
  24. 11 + 12X + (3y + 14Xy + 15 X ; 16y + 17 Xy +18X7 119X4207
  25. Duo valores 3 et 4 aequentur multi plicando per crucem
  26. aequatio producta E coincidere debet cum aequatione 1
  27. nemus sult ultem ipsas B. c. C etc. ita explicando, ut termini
  28. 1C_ + 2CX + 3Cy+4 CXy+ SCX 16CY+ singuli singulis, coincidant
  29. +aCe
  30. b. C. EEC. item 1. 2. 3X
  31. Ad peragendam rectius multiplicationem utile erit ponere exprinca
  32. CrRC vyso.
  33. H C4+ fN34c 43 k42 14471 numerus
  34. b∞ 1a cx+1 e+ Omius Exprigum nmeris luilibet
  35. ex
  36. numero prima viquationies praefigatur 1. Numeratori quartae praefiga
  37. tur 2, ex nontralorae ejusdem praefigatur 3. literae X
  38. in grevatita
  39. Numeris literae X praefigatur1 (post praecedentem praefixum)
  40. numeros literae prefigatur 2. poteritia autem literae
  41. dasiguetur potentia numeri, et fiet
  42. loco b c e s
  43. E
  44. n
  45. MM
  46. n
  47. Fiet 10 n 18 11r 11 12 112 r 12 11
  48. loco
  49. 1
  50. fiet 20
  51. loco 11
  52. 2
  53. 3
  54. 4
  55. 6
  56. 21 22 212 21 22 212
  57. 12 13 14 15
  58. 16
  59. het 30 31 32 312 31 32 312
  60. 8
  61. 127
  62. 10
  63. 2 127 213 22
  64. 12
  65. 29 20
  66. 313 31 32
  67. Hinc ineesul calculi finem constantes prodibunt progressiones
  68. numeri autem veri ut in 29X 2lxy. in parente esi scribendi
  69. sunt, ut a fictis istes distinguantur, ex. g. 29X ita stabit (2) 11 X
  70. Hvc est arcanum inveniendi progressiones.
  71. tis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 105r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0211?run=74