Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 79v

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. 78r); this page is its left half.

The machine reads it as

  1. poppa en agu = X + acX + aaf fiat X: a = 110V + 101Z + 100a, :, 20b + 201 Z + 20051 g: a - 31oV + 301Z+ Jva,:, 2tSBH201Z F 200a
  2. compendio X: a - O: D et y: a = 8. D, firt a 44: DD = 1 Bd: p tec B. D + aat efia ad PY = a 6. + CODB + f9
  3. 6. 10) WVZ = 6. 110. 101. 100vZa
  4. No a
  5. aG = a, 493V
  6. 3. 110. 160 Dva
  7. D2 )211. 12 2C0 i
  8. 6o e
  9. C = 110Y
  10. 00c
  11. p.20V
  12. 2. 110. 202 paa
  13. 11C
  14. 3. 100. 210200
  15. 1. Jop 201
  16. 2. 1
  17. 20
  18. . 101. 20d Zac
  19. 2. 100. 20 200.
  20. a, e u pradoru
  21. OW = 1. 218 p
  22. =0
  23. Hiar ju aequutisca N ut bollatra
  24. ut tollatu. B, fiei 118 a + 110 2 0loC
  25. 215f a210. 31030aS
  26. 3. 110 10. 1014 +.1 01 219. 70C + 2. 110. 210. 81C l20
  27. 3. 20 210 201 f 201. 310. 310a (3. 210. 310. 301 a
  28. UI tollatur WBa fiel 13. 1r0. 110u00a + 101. 210.4 o C + 2. 110. 2.8 200C ) =0
  29. 13 218.210. 200f - 300. 310. 3104 - 3. 210. 310. 300a )
  30. nedicinda ex uctinistribus, sed aequatio ex ilis prima dullam habent quantitatem roptriam
  31. D3 = f, Mi. 03, pro 10. ponendo 2.. verb. pr. pus 1o ponedo 210
  32. 101, 201, 30 extant in sola aequatione
  33. 100, ra cones
  34. 2.210,210,75
  35. -3. 110. 210. 291c
  36. 200 ex postrma, et erit 200 = 3, 110. 10 100 a
  37. 110 et 201 ponerentur 0, fieret 310= tsi ad2
  38. et 10) = 310. 301c: 2 40C. et 200
  39. 310, 200, 101
  40. DC
  41. 20. 310. 3004, : 70. g0a - 3,210. 20.
  42. oc 20 30g a a
  43. et figt X - 20 22.6V mo. 30) a Z + 100a
  44. uaveet
  45. 5
  46. -3. 210. 210 5
  47. 301 210 100 et pro commodibate
  48. caeteri manent afultiari nempetr 300 2el 1105
  49. ea
  50. (.1. 310. 310a
  51. X0. 210 100c - 2. 210. 310. 36Da, i7 - 2 115. 20C
  52. 310 exprima, et erit 3103,0 = 2o
  53. Tri igitur numeros ex assumtitis inveniri suficis, caeteri nempe
  54. caetere lite Num
  55. 21. peneal 3
  56. Ut tollatur VBZ. fi
  57. ..- PBostrema .... . . . -
  58. 210. 20.
  59. Z et 100a, , 210V +
  60. 10C
  61. e
  62. et i nXt
  63. assuni pos
  64. (1ma, 21V- 2 seoC 4 3, o que c
  65. 310B + 301Z- + 300a
  66. a 210V + ∞ - 210. 1001 + 310. 3003) a
  67. et 3 =
  68. S
  69. Et 310 = 401 a.3
  70. nam a assumitur pro unitate, sem aequationem
  71. pos
  72. 210f
  73. propositam hoc modo sempersolvi posse in numeris rationalibus. modo eror in calculo otest absit
  74. 7
  75. 100C 4310. 300A a
  76. 210f
  77. Et biet
  78. Et fiet
  79. 210P + 210
  80. superest jam ut inveniatur valor ipsius V per Z, tam generaliter, quam etiam ponendo
  81. a
  82. Hinc sequitur, si f sit quadratus
  83. esse 110 =0 et 201 =0 Et eo a vatore substitito in valoribus ipsorum X et y per Z et V
  84. Et hi valores substituti in ipsa aequatione proposita debent
  85. dare aequationem identicam, si bene est calculatum.
  86. haberentur X et y per Z
  87. Ex plita ta 310. fid
  88. 301 a Her : 5) Z + 100a
  89. AEa.: f) V +301Z + 300a
  90. 20B - 10C + 300 g. s. f
  91. 210V = 100 55 + 300 au fr. 5)
  92. 3. 110100 va
  93. 3. 101. 100. Zaa
  94. 1. 101. 210 nBZ +, 110. c81. 200) WVZ
  95. 6121V.
  96. 3. 101- 10022
  97. 1. 10.
  98. 210o 2t
  99. 1. 110. 20) v22
  100. 2. 1B,20.
  101. 1. 100. 210 bha
  102. CODd - C, 1020
  103. Pot. 2e) Z
  104. 100 200 N
  105. 101.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 79v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0158?run=74