Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 173v

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: 0.86.

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

The machine reads it as

  1. ideta
  2. sit aequatio.
  3. V= -10Z + 2022 + 308, + 407) + 50Z
  4. et t ezi quaeritur valor ipsius Z ex y per seriem.
  5. 106-
  6. y = 101 y + 102 yy + 103y +104y+ 105 y Cte
  7. siet et = 102 B = 20. 101 10
  8. 1012 70 102 = 20. 101 corn. 103 =
  9. 104
  10. et
  11. scribatur
  12. 2. 20101. 102 + 30. 101
  13. 10
  14. 12,4 20. 1011 103, + 29. 102. 102+3, 30, 10,1. 102 + 40. 1013
  15. l0s =
  16. (450. 1013
  17. 101, 101. 103
  18. 44, 40- 101.102
  19. 2. 20 101. 104 + 2. 20. 102 (83 + 3, 30. 101703 + 3.30. 101. 102. 102 +
  20. 2. 1. 610
  21. (2. 20.101. 105 + 2. 20. 102. 104 4 20. 103, 103 +6. 30. 101102. 103 + 3.30. 10r 10. 104 +30. 107
  22. 105=
  23. + b. 40.105. 102 + 4. 40. 1013. 103 + 5. 50. 101. 102 + 60. 10j
  24. Megula continuandi in infinitum haec est, ut valoribus Numerorum majorum
  25. n
  26. datu
  27. 102, 103, 104 etc. Inveniendis ad hibeantur. numeri 20, 30, 40,
  28. aequationisd, et quibis horum numerorum nultiplicetur per formam
  29. faectam ex literis na Ex. gr. in . valore 104 primum ad hibeatur
  30. 20, deinde 30 etc. adhibi 20 autem multiplicetur quoties fieri
  31. majoribus conflatam tali lege
  32. 2 2 est nota sinis
  33. et in forma ut notae dextrae in unum et addita faliant 4 quia nota dexit humeri 104
  34. numenquia
  35. cujus valor quaeritur est 4 . d, Sic quia 4 divilli potest in duas
  36. potest pereforcur onco
  37. ut forma ascentar ad
  38. puites l et 3, et 2 est 2, hinc 20 maltiplicabitur per 101. 103, et
  39. per 102. 102 et fit 2. ipsi autem 20. 101103 prae figitur numerer
  40. verus 2, qui est numerus variationum formae 101. 103. quia scribi potest
  41. habemus ergo +2. 20. 101. 103 +20, 102. 102
  42. inde pergamus ad 30. Ergo ob3 in 30 forma consungenda erit trium dimer
  43. sionum, et notae ejus suristrae con dextrae conflabunt4, (ob notam 4 in C04
  44. lo1. 103 et 103. 101
  45. ergo seu a divelli debet in tres partes quoed uno solo modo
  46. fieri potest 102 102. 10+ 11, 1 + 1 + 2, ergo forma erit 101. 10l. 102
  47. quae forma cum lim variari possit 3, ficibus faciendo 101. 101. 102 et
  48. 101. 102, 10, et 102. 101. 101 pra praefigetur 3, et fiet 3. 30. 101 101 103
  49. denique totus, vater sice
  50. 104 =
  51. confentum duidatur per co,
  52. et
  53. fiet
  54. P. 26 10 [. 103 + 20 162.102 43. 30. 10(. 102
  55. =A 2. 28
  56. 104 -3
  57. 4. 20 + 20 + 3. 3020 = 4. 1020 + 20 + 3. 10.2030
  58. 102. 101 = +o 102= 2
  59. 104 =
  60. Dc =
  61. 10
  62. 1 10.
  63. = 103

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 173v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0346?run=74