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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 11r

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: 0.68.

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

The machine reads it as

  1. e
  2. er
  3. Mt
  4. MMX n
  5. E
  6. s
  7. M dx + XdiA dy ) Ergo Max tdq = dy
  8. Max +xam = ndy + Y du seu du = y du + max + xdm
  9. s
  10. sit aequatio data dys = fy + pdx sit log (1:1) = sedx
  11. posita n constente sit Cg= meh veirgo si ia sit
  12. sit n=
  13. _ m+ r s + gy +dy = 8 Fiat n + ny =0
  14. it differentiando dm + adg. dn y + ady = 0
  15. ergo am + du y + dy =0 sit dn = 9 et n =
  16. et dm: a = f Ergo M = (f bg e de. Ergo
  17. si
  18. tandem y = - M: n - -
  19. 60.
  20. f bd dx
  21. fuistet dati f +gy +hilus = 0 fi et y= -
  22. Et hinc
  23. baa s
  24. bd
  25. X
  26. t
  27. aequatio data -C +ga + hdy + kgy + Zydu
  28. fiat e = f+ et devellatur aequatio in dua
  29. f4gy +ha, et tel 8+K9y + 2 ydy 20
  30. tnamus dar y= -+
  31. 9y=
  32. sunt, 9
  33. D.h
  34. l
  35. R: C, B dx
  36. t
  37. ax
  38. et f+8 = e
  39. h, K, C datae, f et quaesitae
  40. 2t
  41. 29. h qu (= bd
  42. ett.
  43. S
  44. h bd
  45. 8 = ld (B
  46. 1
  47. t
  48. -2 qu ((
  49. h
  50. = s( bk. dx)
  51. h
  52. bd do1) = e-
  53. compendie ergo bE: (2gh vocetur et bd: Quocobora
  54. it C- f = = l d (P qu S(f9dx))
  55. = l dp qu ((59dX) +2lp fq s f9dx
  56. Si k:l = ig: h aequaratur constanti, sieret ap- o
  57. et e C
  58. L
  59. 2lp45 2pu = s fgax
  60. = Sfgax=
  61. 24)
  62. 3
  63. un
  64. seu B - V = 554dx sea fdB - βdf = f qdX
  65. se esfet constans a
  66. fiet aBd7 = ff qax
  67. e
  68. So seu posito H
  69. dB = 2
  70. seu db Sat = ff gdx fet
  71. C
  72. si dB
  73. du a)dx
  74. a
  75. esset constans, itam B foret constans et daretur
  76. colatio

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 11r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0021?run=74