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Leibniz-Handschriften zur Mathematik LH 35, 7, 20, fol. 15r

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: 0.76.

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

The machine reads it as

  1. Ad Adt. decembus 1695. p. 353
  2. Aeqdata a dy= ypax + 93gdx quaeritur solutio sit y = v. fiet
  3. -1 (3)
  4. n
  5. (
  6. a C v do = v pax + ve t a C. V du = v. pax + V gdx. sit e- 1 = en. sit
  7. L
  8. ( = 1:, 1-n fiet aedv - gdx, V = V pax seu ae do- gdx = V pax
  9. Ex 3 per 3 fit a: ( B B
  10. (8) 1+1 -
  11. M. 7 C= M
  12. 1.ni s1
  13. gax seu a:, 1- n dv = qdx + B
  14. e.1 = F. (n + = 1 -1 +n, 7, seu a:, 1-n do= gdx + v. pdx
  15. m
  16. 1
  17. vid si fuisset data aequatio adu = pax + y qdx sit g v fiel
  18. di
  19. ac
  20. do
  21. me
  22. (
  23. V Pax- sit ady: y= pdx +
  24. jam Sdy: G = fdy. y= i at
  25. m(3
  26. -M. (4
  27. Ergo y= Cd
  28. 1-m
  29. im
  30. 1: (=M 1)
  31. 15)
  32. oux
  33. =c 1: cm C
  34. n. m :: 1- ra
  35. 1: 1- m Ergo ex 2 fist a: c- m deo = pdx + co
  36. gax seu
  37. faciendo n - m, :, 1 -n = Y. fiet a: -m deo = pdx + co. cdx sed hujus
  38. quodsi aq. 1. faisset adu = G. pax + G. x ex t solutio desiteratur
  39. data esset aeq. qualis g. scribumue. bdco = pdx+ co gdx
  40. unde fiet bcodco = copdx + ct gdx sit coeo= W fietque
  41. ebau
  42. adu = y pdx + y que sit y = v fiet a e ve he u
  43. a e v
  44. do = v pax + v gdx seu acdo = v en - et1,
  45. n
  46. em
  47. e-1
  48. en- et1
  49. pax + V
  50. sed video nihil inde posse duci, nisi vel m vel n sit 1. vel saltem
  51. do = h + _ 1: V
  52. e
  53. Gx
  54. si daretur adu = pdx 1Y adx F y. 9dx qualiscunque esset posita
  55. esse numerum certum, daretur solutio etiam pro oi alio easu, ut si dai
  56. a
  57. si daretur ady = pax + yy qdx, dacetur elim a adu = paxt y. gax
  58. Datur ady = pdx + y9dx sit y ~ 1. y fiet sit dg.y = ve fiet
  59. y = fod sav: v. et fiet ado = vpdx + sdv: v 9dx
  60. G = ∞ b fiet dy: y = d logb. av. v et dy = log. b. B. du: v
  61. et siet a tog. b. b de = pdx + b 9dx
  62. mo
  63. ib
  64. a b ady - y pax + y qax sit y = b fit alog. b b. do = b pax + b gux seu
  65. a logb = p a logb ( ne dx = pax + (nv - me qux sed ait hinc

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 20, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068090:0029?run=73