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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 86v

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: 0.81.

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. 85r); this page is its left half.

The machine reads it as

  1. 10 y + 1dy + 12 ddy =0 y = b fit dy-rb dgb et idus - d b dedv b
  2. 1 209+21 dy
  3. Godvb + dedob
  4. 20y + 30v + 27, 20y+ 30v + 230 -0 407 + 41dy +50V + Sidv + 450
  5. a20 y + 130V + 20 dy +. 30dv +d230 6 ope 2 et 3 tollatur dv;
  6. sr - d ( )y
  7. 30
  8. fret + d20. 51 y + d30. 51N + 0. Sidy +(3o s1dve+ 51d230 72) Haec aequatio differentretur y
  9. =40. 30.y - 9130 V A. 30 dy 30 51dr = 450. 30
  10. d ed 20. 51) y + d ( 50 26
  11. 40. 30
  12. fiet d (tro. 51) y
  13. 40. 30
  14. d ( 30 39 9
  15. 50. 30
  16. +d50. 30 Hfro jy
  17. = de. 51
  18. 100y
  19. = 40. 30 dy d50. 30 dp
  20. + d (=20, 2i) dys
  21. = d20. 51 dy
  22. 40. 30 dy
  23. a (..7
  24. a-41.3
  25. + d50. 302 20 dy
  26. = d30. 51 d 30
  27. Uedy
  28. 1e ly
  29. fit . 1 20. 51 - 41. 30 = 12C , ddy,
  30. + d 270
  31. + 138 = c
  32. absolutus differtur in finem, quia
  33. Ibi litera qu quantitas quae non alibi
  34. 10 y + 1dy + 12 ddy + 13 =0 I = so t d12c) fit Illendue = 10C F 1rdle + Ed d 12 r2 d
  35. y = 9v dy dg0 +9ar ddy = ddgu + 2des dv + c ddo
  36. 1 29 - 20 + 21 d + 22 ∞s - 0 sit 2p = py et dp = dpy+ pdy
  37. et sit op dpy +7 20py
  38. 21dp7 + 2p dy +22 20
  39. Fit disfcontiando deopus + 20 pdus + 2 pddy + 12 =0
  40. conferatur ipsi 10P y + 1P dy + 12 e ddy + 13e = 0
  41. 20dp y 21 dp dus
  42. dedp y 21 dp dus
  43. 21 dap y du p.
  44. fit e = 2p : 12 = 20p + 21 dp + du, : U fit 1. 21p = 12. 20p + 2. 12. 21 dp + 12d21
  45. fit 20 = 11. 21p - 2. 12. 21 dp - 12 d21, : 12 et 2 rp: 12 = d20 p + 20 dp + d21 dp + 21 dep, : 10
  46. seu 10. a1 p = 12 B d20 +12. 20 dp + (2 d21 dp + 12. 21 ddp
  47. 2o aequalio data 40 Y + _ dep + 12 ddes + 13 = 0 fit 3 = sit V = py, fiet d p - apy + pdys et dd p. - dopis reptus B
  48. et fil 10py
  49. 1dpys + a dpys
  50. 20y+21 dy + 22
  51. +B1dy + 2 ddus +d22, 12P
  52. JXo Vdrogt ld2oy +20dy
  53. 217 Fadps t, 12dp dus + p ddus + 13 a5
  54. 20. 12 p + d2j. 12p = 11. 21 ap + 2. 12. 21 dp
  55. et d2o. 12p = 21. 10p + 11. 21 dp + 12. 21. dap.
  56. seu d2o = 10. 21 + 1. 2 dp + . 2 ddp
  57. a 21 de + 22 ddy +23 sit V = Py fiat dv- apy+ pay surl + 21 dp y + 21 pdus
  58. 20 = - d2 + 1. 21 dp + 2. 21 de
  59. 12 P
  60. C
  61. 1e, 1) dp y. + 2 rdpdy + 22p cllys + 23)
  62. Haec aequatio comparetur datae nultliate per e, toega Hedut eddus + 13 = 0
  63. 228- 21p +2 22 dp tnusfuanatae 104y
  64. 10. 22P9
  65. +114y
  66. pa 2BI 12dd +reragdus + 12 4 ddus + 13
  67. 1221qdp et 1. 22+ 12. 21 p9, fit
  68. 11. 22 pdg = 12.22 gddp
  69. 12. 22 P ddque
  70. 2.12. 22 p de
  71. fit 2 = 10p9 + updq t npdau -nquap
  72. 2
  73. 124 dp
  74. 2. 12. 229 dp
  75. e 12. p9 = 2. 12p d9 - 2. 129ap 129 + 2 12 A9 X 2. 29.
  76. 107 sit 1opp _ e rfild p
  77. seu 12 ddp = 12 dp
  78. +2p4
  79. si esset g = B froiet 10p + Upp dp = 12ppdpst 2 ppe p . 418
  80. a 1 (1+2.1 8 dp) = 10 1 dp + 12 dap
  81. 5 1 10 1t dutr da +(aglia) Ap a t l 12) Lpcue - 10p p ee t. d lp
  82. L (11 dp + 12 dp) = 10 P F 11dp + 12 ddlp 2. 17 -. P05 10
  83. fint udip. + 12ddp + duup + deap = 10 + 1t p + 12ddp H
  84. ab = sot, ddb- dx l. + dedvb
  85. = ubi pro dae substituatu
  86. vator ex ∞e4. 2, et
  87. pro V, ex aq.1.
  88. = d ( 30. 51230
  89. 50. 30
  90. +450. 30) d (230)
  91. = d30. 515
  92. 30
  93. + 20.51 ady
  94. = 41. 30My
  95. t et
  96. + 20. 51 ddy
  97. - 41. 30

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 86v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0170?run=74