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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 178v

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. addx = xxdy + yydy
  2. sit X: a = C 1ost 1 +1DI9F 1 20 org +X
  3. X = 2. aelussio Glae y = at (ast H) v
  4. X: a = 0: 8 et y: a = D: 8. posito O et 3 et Y esse formatus ex Z, et V
  5. rationaliter integre utrunque et fiet d ax. a = d0 - OdZ: yx et
  6. dy: a = f dD - D dP: fE et fiet dx: dy = dC - C d4,:, d D - Dd8 t
  7. XX: aa = ( O: PZ et yy: aa = DD : YB..
  8. Ergo denique fiet
  9. 8d0 - 1) dg: t d~- Dd4 = d0 + DD: YY
  10. sitae , et ubi quaecunque formula ubi x et inter se servant lees homoxneo
  11. rum assurgens ad _e et C = b4 (= a _ + Ge - 4) et D = d Cg +C- Y,
  12. dZ = a d (g X) et do m dO = b4 d(= 2) du = er d (r)
  13. On
  14. b d (n 2) - b e. 9() e.n) - (4 pe 9) dg en,
  15. q
  16. et lit9. (a C
  17. sr 6 () pem f
  18. 4 = (29 (2e-294
  19. unqu.
  20. a
  21. 2n 1 2e- 2n
  22. en qAspet)
  23. = 2p ean d (perg) = ce 4 d (ip ernu = X
  24. sea ( Ca) ep. K prdet
  25. Eadem et
  26. me
  27. it ft
  28. 4:
  29. lita fint
  30. Forta Sutius erat ad universalitatum
  31. Srd
  32. 2-q
  33. s recta Prectaic
  34. Edeiel
  35. pergs
  36. uti utile est quod a in uno latere
  37. aequationis evanescit, ita enim in
  38. altero ailiter ad hiberi p
  39. sit d( 1) = 2d (pC
  40. a
  41. tog dper. te
  42. (= FP- 9 pe n. D. L
  43. Batg d ((e 2) que
  44. t
  45. d(∞C.- qe A (p)-
  46. et fiet denique bE = b2 c. 4 (AC 2. = A(q e n))
  47. Ge em
  48. unumquamque terminum ut C componere ex mibus, ffiat 0- b. + c + p5 9 9 2. 7 (p Cem.t- + p en) et na inteterm
  49. natae hic srba
  50. sit
  51. tl
  52. 1
  53. et pa
  54. buut legem
  55. homogenecrum
  56. Vdu + bdZ = adv. sit v = 10+ uxtuy
  57. Ergo fiet
  58. palet vocca b inutile esse
  59. 30+31X +41y + 3L XX + tgy +52 xy
  60. et P. Z= 3dX +2. 32Xdx L 52Xdu
  61. 4 dy 2 42y dy sc yx
  62. 30+31X + 41y +32 XX + 9ryy +82 xy
  63. 16FHX + 1S) adu +2. 92xdr + si xdu = a (udx tadu) (30 11 tu Xx +sipus) sed ita rursus
  64. ts gryy
  65. 1d+lX +EG, 2. 4ydy szydx
  66. non prodeunt nisi arbitrariae q
  67. video me in praecedenti gestrictius egise quam debebam, nam formula ex duabus lileris X et
  68. y composita non semper nspi fieri pottest ex simplicibus in vicem ductis. Ergo resumamus
  69. et fiat 10 +MXF ay + B 12x + 22yy +32Xy, cujus differentia est 11 ex + 21dy + 2. 12Xdx + 2. 22 yly + 32 xdy + 32 ydx
  70. ub facere poterimus 11. ax + 21 dy +2. 12 Xdx +2. 229 dy +32 xdy +32 ydx = Sedx tody
  71. Suk 50+ Six+61
  72. 10 + ux + 21y +12 X + 22y 4+32 Xy
  73. sed rursus tantum sprodeunt
  74. arbilaariae novem
  75. imo dene vix
  76. quide

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 178v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0356?run=74