Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 145v

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

The machine reads it as

  1. lego
  2. (va Conica
  3. u
  4. y. = aa + bXX,: aa + CXX
  5. e
  6. yax (Xx dy dx: xX +s
  7. Sxdu
  8. 4.
  9. Xx aayy + CXXyy = a + baaXX. seu fiet XX = a - aayy: c
  10. et fiet: (xxdy = a dy:, cyy - baa quod pendet a qu. Hyp. et
  11. l
  12. Exxau dx a dye egu bau tx cyu. ban
  13. 3
  14. XXCH Xxbaa = a aa ydy + cxxydy t Cyyxdx = b baax
  15. (xydx = =XXy = L sxxdy
  16. ydx = 2s Saxdys dx: XX (+ (ax 2Xxy)-
  17. erit error in calculo
  18. (dx i Sxxdus
  19. X)
  20. Caeterum res moretur absolvi
  21. (= y = a +bx + CVB,: n + nD + vD
  22. X)
  23. seu Z+ vBZ = a
  24. seu + mZ + nZ V F ZVV = a + bv + cop
  25. nv
  26. f.
  27. t
  28. ng+b ∞ +, t2+l 4(2]- nZ + b + on Z- a c. pZ 4 (onZ -
  29. seu vef
  30. C- PZ
  31. a+ bvv + cx
  32. fit
  33. m+ nwe+pV
  34. V
  35. c-2
  36. Ergo V = V
  37. () - nZ + b + 4sra Z = a c - pZ 2C - 2 pz + n) - b 2C = p
  38. 2C = 2 pZ
  39. Cap+bx st
  40. Sax sa+bx. sit X = Z fiet dx = 27d3
  41. fiet (aX Sanbs = 2(4Z. Z sat b2 = f su (ZVdZ = Z2V - 5Z2 o
  42. (2
  43. d e
  44. a + ex
  45. x aatexx
  46. A a + bZZ = a v + CZZV sit 22 =, a - AV,:, cv- b. ecv - eb, :, cv- b = e
  47. a+ Cx
  48. a+ C27
  49. 9ya e = a - av + ec v - eb : cv - b sit ec = a =0. Ergo fit
  50. ZZ+=
  51. a ab
  52. cv- b
  53. Haec absolvenda, ut appareat, quantum hinc duci possit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 145v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0290?run=74