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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 112v

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: 0.84.

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

The machine reads it as

  1. 4
  2. O- 10 + 11y + 12 y + 13y + 14 v
  3. 1
  4. Ergo fiet:
  5. 6 odx + y di dx +Y Tu ex +77413dx ete udys + 242ydy + 3. 1B3 7 dys ete
  6. (2)+
  7. Sete
  8. seu dy: dx = di0 + ydu + y di2 +y d13 etc, :, 1. 11 + 2. 12) + 3. 13y et
  9. jam exdatis
  10. sit -dy : dx = - n 20 + 21y + 229 + 29y) Bc 3:, 30 + 31y +35 +33y etc. Et multi-
  11. 30d 10 + 31. d1o y + 32 d10. y = 33 dio y +34 d10 y + 35 dio y +36d10 et
  12. plicando per crucem fiet:
  13. 30. du 31 dn 32 su, 33 d1 34 du 35 du
  14. 30 di2 3D di 32 d12 33 d12 34d13
  15. 30 d13 31 d13 32 d13 33d13
  16. Co. 4. 1. V 23. 1.11. 231. 11
  17. 20, 2. 12 21, 2. 12
  18. 22.2.
  19. 203.13 21. 3
  20. ponmm non ascendi
  21. in dabo ulta 2C et 52
  22. 20. 4. 1
  23. aequ
  24. 30 d14 31 di4 52di4
  25. 24, 1. 11
  26. 23, 2. 12
  27. il
  28. 21. 4. 1
  29. 20, 5,18
  30. 30d15 31 d15
  31. 25, 1. 11
  32. 29, 2. 12
  33. 23
  34. 3.5
  35. 22. 4. 10
  36. 2. 8.1
  37. 20. 6, 10
  38. 30 d16
  39. 26, 1. 11
  40. 25, 2. 12
  41. 24. 3. 13
  42. 23.4. 14
  43. 22.5
  44. 21. 6. 16
  45. 20, 7. 1
  46. + 16
  47. eu
  48. ete
  49. etc
  50. +1I + 12 + 13y. + 14y +159
  51. ubi d per gradum in fium ivenias 1 1, et tollas ex gradu 2d0, utiu
  52. in gradu 2d0 habevis 12 per 10, dio, ad1o; et in graduntio habebis 13
  53. 10
  54. per 10, d1, ddio, dddio. Et in gradu it seu ut habebit aequavem
  55. in qua erit sola incognita 10, cum suis aeffectionibus, nempe
  56. 10, dio, dd 10, dadio ddddio, una cum X
  57. unde non video
  58. illud tumen norandum, si dx =0
  59. dx ddx, dddx, ddddx
  60. et
  61. sit 10 ut saepponimus rationalis integra jetx
  62. tunc s X evapeset L. differectiae replicata,
  63. et suis affectine
  64. sumimus ut valorem ipsius 10 esse actiorem, et ita
  65. quid lucremum
  66. pri
  67. evauescent
  68. pront
  69. apparebit quid
  70. sit pessibile; si res non succedit finiando in 913. videamus quae oriat
  71. Et ita habebium quid sit possibile
  72. es m et modus altus attollenti
  73. allummu d 13 sia quo video opu esse atolli
  74. viversitas assumendo ad 14, 15, ete
  75. uneo modum examinanti.
  76. 31d 1230d131+ 31 d11 1o dnt221. 11y
  77. x 3i 1o +30d11420. 212 y + 30d10 +20. F. n comp quae ae qualio
  78. si ads it 31 nam fit 31 d13
  79. e
  80. ut coincidat cum ipsa 10+119+ 129 + 139-0 debet Eoc attolli seu
  81. debuisset 30d10 +20. 1. 11G + 31d10+30l11+21. 1, 1I
  82. cu 10+7,G. ult. pr 40+41Y. fiet 10.40 +1041 y + 11. 41. 1
  83. 21d1. 1I et 40 = 31810 +30d11+21. 1. 11 = 10.21. dI1. 113 : 11
  84. ox qu
  85. altique
  86. ii ac
  87. imlliplicari per 40+ a11.
  88. +31d1. y gigari
  89. suet
  90. =e1 41
  91. 30. d10 +20. 1. 13 : 10

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 112v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0222?run=74