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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 58v

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: 0.77.

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. 57r); this page is its left half.

The machine reads it as

  1. 6
  2. 1
  3. K 3I a
  4. P. 10.
  5. R. I1. 31
  6. 1. 12. 31 +2
  7. 1. 13. 31 +2. 12. 32 +3
  8. 37
  9. quid si si sic: retineamus
  10. 22. 430 Y21. d31 + 20d32
  11. =24. d30 +23, d31 + e2 d32t y Bg lx, da + ydb + yydc + ye etc a 0+ 1bG k29) + 3Cyy + 4f Y+ et =3 -0
  12. 23d30 +22. d31+ 21 d32420d33
  13. 10, et sit aequatio
  14. -du: dx = XX + gy, ∞XF yy, : da erit 10 = XX et 11 =0
  15. et 12 = 1. et 13 14 etc 20 et 20 = a4, et 21, 22, et C =C
  16. et fiet 1 10.31 = 20 d30. Haec aequatio sep onatur quia in caeteras non
  17. m
  18. influnt, aeque enim redit 30. Porm
  19. 3. 10.334 1 12. 3 sa 1O. 31
  20. 20 d31 = (1. 1F 3B+ 2. 10.32
  21. 2.1032 + = 119 3 = = 20 d31
  22. 20 d 32 E 1. 12 31 A X +3. 10. 33
  23. 20d33 2) X, 2. 12. 32 + _ AV
  24. A+6. 34
  25. H p 3, 12,33 + X . 5. 19.35
  26. Ergo simo potius ordinemus
  27. 20d30 1. 10. 31 .eHaec ae quatio primaseponatur
  28. 20 d31 27 2. 10. 3
  29. e
  30. 1
  31. 20 dur Z, 3 10. 33 + 1. 12. 31
  32. 20 d33 4. 10. 34 2. 12 32
  33. 20 d39 3 5. 10. 35
  34. 3. 12. 33
  35. +d +1
  36. aa d31 = 2 X X. 32. aa d, 2 = 31
  37. si omna ponamus3
  38. 34, 35ek
  39. esse 0, possumus facere
  40. d32
  41. d31
  42. 1. 12. 31
  43. 2.10. 32
  44. seu dlng ()d(37) -
  45. Imo video si conserves (2A (31
  46. 12
  47. 1 2. 10
  48. 32, non posse evilari
  49. fini a ddg = 22 asqu dationem, q et eundum ad 33, vel 34, et
  50. ita semper iri altius
  51. e
  52. do F L5. 81
  53. Fsuiamus alicubi, ut in aeq. uto
  54. . 13. 33 Btato d32 + 22d30- IE. 11. a +. p- -, 1. 1
  55. 22 d31 . 3
  56. G. 13. 35, 5) 20 d34. 522d34
  57. c6. 13a 36 (61 20 d 3f a33 a
  58. 13. 372 20. d3 6t 3. ter. d34. L
  59. +
  60. 5E.
  61. tel dc13, 24522, caetera absint fit
  62. 1.13.31 = 20438+
  63. 2. 13. 32 C] 20a311
  64. f. 15.34 81 20 d33
  65. 2et. Aate
  66. 3X. .
  67. k
  68. c
  69. 3 et d34 +8 sed ita fiet ob _S
  70. F
  71. aa
  72. etiam d32 = d ila per aeq. 3 et 4
  73. habebuntur 30 et 3, 1, sed eadem
  74. da adhuc semel per aeq. 1. et 2.
  75. d Ergo non succedete. Ergo
  76. 36) et 35 a sit 0
  77. obum
  78. 10. y +1 =0 yd10 + du x + 10dy 20 sit . aequatu ryd et dudx + u yx ride
  79. sit aeqratio data pydx + qu Ady. fintu qparando fiet B+ dio seu d’Esd logi0 = spdx et u = siogax
  80. b.
  81. x10
  82. rdio tgdus dio + dd H. + 10 dl = 0 _ ey 20y + Eidu =0) differentiando fiet
  83. +, 20 dgit 15. 70+ da et ddy + d2y =0 sit aequatiodata pese lvenda ptet dus
  84. 421 sx
  85. 1. 15. 31 72. 142 +3,13, 33+ . 12. 34+5. 11. 35136 = 25. d30 424. d31 + 23 c3era 3 3 a t u dx 2 + dyti = 0 seu- dy: dx = 4: t = + = C: D. seu 2 D = (C. seu fiet
  86. 1 14.31 +2. 13. 32 43.12, 35+g. 11. 39+5
  87. 20: d30 = 1. 10. 31
  88. 20d34 =
  89. X se
  90. x
  91. Pydxedxu Rgdydxi+ Y ddus +tdxax Multiplicandus hanc per 215rC fiet
  92. Pf2: H) ydxdx et 9(2t. Y) dy dx 2ddus 14 A(El: Y) dxdx HiceB potest, reservari infinem
  93. Hic d22 = E(2.Y) dx potest C rese duari infinem
  94. Aosunt aequationes duae una d2o = (9 p: Y) 2)
  95. aiere 42∞C 20 = (9.1321 - d2Ys quas duc erdo invicem fiet, 20 d20 = (Gp rr) 2i = 21 d 21 (p. 1)
  96. = 2odro
  97. Esto 10=11 = 12-
  98. et extet 13
  99. et sit 211410
  100. ut eplet 20 et 22
  101. d30 +20. d31

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 58v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0116?run=74