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Leibniz-Handschriften zur Mathematik LH 35, 4, 5, fol. 14v

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: 0.77.

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. 15r); this page is its left half.

The machine reads it as

  1. sit y = 10 + 1X + 12 X + 13X + 14 X +15 X etc
  2. BC-1, 22 87, 3..
  3. 11213
  4. L et, 1b. I.1 n
  5. 2
  6. C, P, C2e3, f4. 1.
  7. 1.2. 3,4
  8. e sit y = 10+1 + 12 + 13+14 +15 etc poterimus tantum in proximo
  9. valore ipsius X y omittere X cum suis potentiis tanquam posito
  10. X vel X vel X es etc. esse 1 et subscribere duo puncta
  11. cuivis membro subscribere. vel etc. exempli causa
  12. pro e. 10. 11X scribendo e. 10. 11 vol e. 10. 11
  13. cmpento n ossieas edtue iapu j terma demet pos enientur
  14. compendo in sejuatu appareat dstinctius ita ex Elbebiuus
  15. sed tamen ut res
  16. + e
  17. vi
  18. a2 2
  19. 1D
  20. 1C
  21. 2. 13
  22. etcetet
  23. et
  24. II. 12
  25. 1BC. 2 K
  26. s
  27. 10C.2 114
  28. l.
  29. He 12. 1
  30. HC 12. 14
  31. ete
  32. 11C. 2, 13. 14
  33. HF2. B. 15
  34. etletete
  35. eet, 10711. 12
  36. .2
  37. itaque valor polynomii ita stabit:
  38. 1oey. B
  39. 1003. . ef
  40. 1083. . 14
  41. 11C1
  42. etc
  43. 13
  44. 13. 12 14
  45. e
  46. IC3. 13. 12
  47. 11C23. 132. 15
  48. etc et et
  49. y = 10+ G c. 10. 11 + e, e1. 1002. 11 + e, e- 1, 102. 11. 1
  50. etc
  51. 1.2 etc
  52. Dere-1e2, e-7
  53. 1. 2. 3
  54. C
  55. etc
  56. Et ita porro
  57. 1. 2
  58. ete
  59. vel quia non amplius indigemus numeris fictitiis ad polynomium
  60. simplex, quando cessantibus ipsis potentiis ipsius X, cessant potentiae
  61. virtuales ad eas relatae; Auciendo ideo faciendo
  62. y= a+b1 ad etc.) siet lemtntp ete, fiet
  63. t y ab + ercut
  64. y e a b + est + c en bc
  65. 13X , Cv. 14 X + et ) et sim seu si sit y = l+ m, simplicissimus Canon generalis
  66. BsC- 1 1. p. e, P G, 1P 11.12..
  67. 1.2
  68. e
  69. = C L In + ere+ P n perent, V ma er lene qere e
  70. 1. 2. 3
  71. P- 1
  72. l. 2.3
  73. ubi (exempli causa) P-1M idem est quod l. m + l. m 1 + V in + l. B
  74. + m . n + m. n + m 1. p + m pe + etc. ete
  75. +GC., C.2 P 3. p + exC t, et l mn + eretreur, (e3 mnp. Et ita porrus Ne dintius prolixe tencam dubq reperietur esse
  76. 2
  77. Sit g = 10 +H + I +13 + 1 415 etC.
  78. 10
  79. e
  80. ge
  81. 102.
  82. e, 0-e
  83. 1. 2. 3
  84. 2
  85. e, C-1, 1D. II. 13 000
  86. e, 1 18. 12 n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 5, fol. 14v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068002:0028?run=73