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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 132r

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: 0.73.

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. 133v); this page is its right half.

The machine reads it as

  1. quaentur curva, cujus equalio tangentialis sit
  2. ac-aady + xx dx + yydy = 0
  3. tiat
  4. siat (6X + Cy + exx + fgy+ 8
  5. O Axxh
  6. Sit= S ( X +) Y+ m
  7. quid si loco huji summae scrrbumus ex
  8. Q= βX +7 y +m
  9. a
  10. sta
  11. curmabiles
  12. et fialaa b + ab X acx + acy + fXx + gxyt hyy + ((al Xtamy + aan)
  13. sit Z-
  14. e =a C + au DsdZ: Z et , aa dO Z + aa aa D dZ + aa dD sdz: Z = 0
  15. unde caa dO_DZ + aa DD dZ + aa d D. 3saZ Z
  16. = aa D dD
  17. aab + acx + acqe+ fxx Fxu + hgu 4
  18. vw + 8s =0
  19. posito v, W, Z esse
  20. simplices rationales
  21. per X et
  22. ZVdd + Zuedo - vuodZ + gd + d s 20
  23. Z seu ZVdue t quoda- veodz + Z gdZ + Z2dg fd Z. Z (0
  24. 22
  25. fiet
  26. un C Aliter + gc +vB+ po sexb
  27. fiet A A Zt do + Zuat + 8 due+ Guaque + ( dio + 10 dZ) saz. Z
  28. Aliter b0∞ L08+ ZW fdZ -0 t ∞ D +hZa 5dZ = 0
  29. + tvdc + + de+ Opdt tahdzue + ahdZue sdze (2)
  30. 2
  31. V + vasdZ0 fiet tdo avat + Wdque + tdv
  32. tv + sd2: Z
  33. = (1)0 et et du + Zvdt + hdz =0
  34. (+
  35. (iet a Z d + hvZ dZue
  36. s
  37. 0
  38. e
  39. a
  40. 2+b
  41. 2
  42. 2
  43. et ut 2dx rZ dv c. I
  44. d
  45. DZ
  46. v+C do
  47. seu fiet a VZ d 8- aGVdZ + hZ7 dv + h vZ dz
  48. v2
  49. + & + aS
  50. L2)
  51. = 0
  52. do + vdZ G
  53. Zdg-9dzue Lhae
  54. a
  55. 52
  56. = 0
  57. seu a sit a +h = f fiot f0Z (d9+ d2) - a vdZ + hZ7 dv = 0
  58. si v - ex + Vy C (-Z - DX + Ay+ c = nX + Hy + 9 27 = 8Dxx + Nyy
  59. F2D1Xy
  60. sit v. = 3Z + Vyt 8 = A2+ ny+4 fit do = βdZ + BHy et ses- Ad3 + n dy
  61. do = βdx + Vdy dZ = Ddx+ du de = ndxF _ dy
  62. fiet ( f37Z AdZ + fyyZ NdZue +C+ re Adz + f22Zu dy + fy yz udy + riidy
  63. =+ f 3771Z + 5) yzdZ + rZdZ - a β42Z - a)) ay99 (3 (2 +) 1) 23 ST AZ d - myaZ - 9 d
  64. e
  65. DE
  66. (3dz-9)ydq.
  67. e hg2BaZ + l72 dis
  68. sed vdeo it non tolli-
  69. fβ( + hi ) - ay- )

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 132r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0263?run=74