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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 150r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 149v); this page is its right half.

The machine reads it as

  1. sed duo incommoda insunt, si determinatam quoque a sic explicemus
  2. unum in ordinaria aequatione quod ita assurgi poteststo ultius quam
  3. novae indetesmmate assurgent altius quam opes est quia
  4. atque hoc bene procedit pro ordinariis, et nam es nam non ideo altrus
  5. assurgitur u a novis indeterminatis, quam ante: quanquam id
  6. in commodi insit, quod ita ncaremus data; nec omnia una sola aequatione
  7. continentur; Alterum incommodum est pro aequationibus differentialibus
  8. quod ita qui quod ibi da est o. ibaque licet vesimus sic procedere nova
  9. tumen adhac obligatio aequatio subintelligenda est, scilicet non tantum -9++co-a
  10. sed et -d8 +P + deo = 0.
  11. Quod si in aq. differentrali faciamus du: dx = Z: a habebimus
  12. tres literas X, y, Z, pro quibus licebit substituere valores dictos
  13. cuperinon curando quod paulo altius assurgitur
  14. ecrper deme paria
  15. reducere omnia ad homvexplota faciendo X = X Z+ V, et y = qv: a. Et
  16. et
  17. adhibendo deinde do
  18. et +9dv+ dZ + r duedq et + B Av + VsZ, Vav+ BdZ n
  19. rm
  20. ptm
  21. v+F+n
  22. vtZ+K
  23. aequatio, - 10. 20 X + 1. 20 X + 12. 20 X + 1. 20X etcop
  24. maltiplicata per 30
  25. 2,2
  26. 10. 21
  27. 10. 22
  28. 1. 22
  29. 10. 23
  30. comsddelur data per 10. 20 multplicale. id est
  31. per o attpliclo
  32. siet:
  33. 0=
  34. 9v+ A2 +h dv + BZ et
  35. facta ex aliqua generali ducta
  36. in generalem quaesilam
  37. 20X + 21X + 22 x et
  38. 10, 20. 30 +15. 20. 30 X + 12. 20. 30 X H13 10. 30 X 1 19. 20.30 X et
  39. 10. 21.30 11. 21. 30
  40. 12. 21. 30
  41. 10. 22. 30 11. 22.30
  42. 10.23. 30
  43. 13, 21, 30
  44. compasetur cum 8
  45. 12. 22. 50
  46. 11. 23130
  47. 10. 24f. 38
  48. 10.20. 30 + 10. 20. 31 X + 10.20. 32. X + 10.20. 33. X+ 10. 2034X ete
  49. ubi si 21 = 0 fint 10. 31 - 11. 30. gum scil. non assurgitur ultra X in producto
  50. fiet: 10 = 10. 21. 30., 10.31 -11. 30, ubi si t pt 0 tunc vel 20 erit 0, vel 10. 31 H. 30
  51. as
  52. et posterire admisso fiet . 0, et
  53. 10. 20. 36 - 12, 20. 30 =10. 22.30, : 11. 30 = 10. 20, 31 = 11. 20.30,: 10.30
  54. per pestantes. et antex fiat habebitur 22, 21, 20, ponendo semper proxime altiorem ut hic 23=0
  55. ducenda semper linea, ut appareat quae aliae literae aequales nihilo
  56. forta tamen prasat actu instituere divisiones, ita enm simul patet
  57. d
  58. perpenull. 20
  59. per auter et ps habetitur
  60. 1 et 21
  61. quia quolieates

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 150r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0299?run=74