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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 151r

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: 0.88.

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

The machine reads it as

  1. = a 10 + W X + 12 X + 1 X + 14 X Y15X + 16 X erc
  2. 20 +2X +22 X +23 X + 24 X +25 X + 26 X erc
  3. 1020 + 10. 2X + 1022 X + 10.23 X + 10. 24 X +10. 25X 41. 26 X erc
  4. +11. 20. 4 11. 21 11. 22 1. 23 11. 24 11. 25
  5. 1. 20 12. 21 12. 22 1223 12. 24
  6. 13. 20 13. 21 13, 22 13. 23
  7. 14. 20 14. 21 14. 22
  8. 15. 20
  9. 16. 20
  10. Eodem modo, procedetur pro yuio. et ila porro. Et quilibet terminus habelit
  11. coefficientem compositum ex omnibus combinationibus ex diversis seriebus, quorum notae
  12. sinistrae aequabit termini exponentem
  13. tantum
  14. umerorum
  15. sed investigemus divisionem seu Z. sit Z =Z. et sit
  16. y = 30 + 31 X + 32X + 33X) + 34X +35 X +36X etc
  17. fiet vZ y seu fiet
  18. (6)
  19. y = 20. 30 + 20.31 X + 20. 32X + 20. 33X + 2. 34X eu
  20. 10
  21. 21. 30, 21. 31 21. 32
  22. N. 33
  23. 22.30 32. 31 2. 32
  24. aeq. , 3. 30 23. 31
  25. 24. 30
  26. UX +MX _ + 13X erc
  27. fiet: 30 = 10 et 31 = u = 2130 seu 31 = 1. 20 -102 et 32 = 12 - 10. 1 4 21 112012110 21, :20
  28. 20. 20
  29. seu 32 = 12. 20. 20. 4 - 14. 20. 8.21 =18.3625,: 20. 20. 5t 33 = 13 = 23. 10 - 211. 20 - 92.10. 21 21. 12. 20. 10 - 2.1 10. 14121 10 1. 5
  30. 120
  31. 20. 20
  32. 20. 20
  33. 20. 20. 20
  34. Et Seu 3 = B. 2000. 20 - 12. 20. 20. 21 +81. 20. 21. 4 - 10. 20u 2
  35. - 11. 20. 20. 22 +210. 20.21. 22). 20. 20.20
  36. -. 19, 20. 20. 23
  37. pergendo facile credo regulam inveniemque.
  38. pergemus etiam ad radicem; et quaeremus Let y, sel yr, sel yvio, et cla porro
  39. videtur semper Videndum et quatenus quin et pergi poterit ad Tel y et set ymon
  40. et sel yn v. p2oe
  41. jam sub v exempl. gratia continetur et nam = = V
  42. Satte ut Utile erit hoc artaficio uti, ut qua
  43. posset huc alculus etiam utilis esse ad regressus si quandoliceret infiuntam
  44. linfinities infinitam, reducere ad series simplices.
  45. jungantur his Theoremata Nectoniana
  46. lit 10, 11, 12 13, sint quanlitates factae se ordine progressi fiant ex
  47. quantitatibus scire Arithmetica et Gconcehica procedentibus, poterunt
  48. condi theorimata, ut si essetit 1, 2, 3, etc. vel 1, L, L, vel si essent
  49. condi poterunt
  50. 1. 2. 2, 2, ac vel L2 1, 22 3.E, 4.2, etc.
  51. therremata pro ipsorum reductionibus ad quadraturas, quae deinde
  52. prodermut p alia serieus ex his composita, ad quadraturas reducendas.
  53. D=
  54. VV ocugronae anx ons xXtio
  55. yv=

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 151r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0301?run=74