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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 154v

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: 0.84.

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The machine reads it as

  1. procedimus autrorsum
  2. 14
  3. 24
  4. 4311525
  5. +14.
  6. +24.
  7. =1424)
  8. 414
  9. =14. 24
  10. 2. 15.25
  11. = 2. 14. 15
  12. +. 124
  13. 3
  14. 23
  15. i4
  16. A. 14. 3i
  17. tqq
  18. 12 11 040
  19. 22
  20. et
  21. 20
  22. ita posset inversa ratione procedi detrorsum
  23. sed video hoc frustraneum esse quin cum duo
  24. tepuii addendi non sunt simpleses, se S et
  25. velat
  26. . 2. 15. 25. vel proveniont
  27. implices
  28. a4b = tta +B A+ b tC = +21a - mb 2C atb
  29. aab = cet 1a + ib a+ b+ C = + 2 1a 2 1b + EC
  30. x ab
  31. ab + -1ac+ 1bC
  32. ide
  33. ex gosequitur quod
  34. anib est c non
  35. quae est 1 vel 0, sed mu
  36. Cc =C. Nam p
  37. seuter H + 3901 1 a = 1 b, in 1a - ib = + D a + b - 2 ab = 1a - 1b
  38. Cg (3+ (11) 01 = 10
  39. 3C0 = (it 01 ∞ = 10 - (1) =
  40. 01 = (1) - 1 10 = (1) + 1, unde
  41. vel
  42. omgis notarum diadicrum
  43. uctiae in se minicem omniaque adeunt
  44. an veras simplices, imu
  45. semper suntiategri
  46. percorne
  47. Hinc E)ab =
  48. () b)
  49. (1) = 1) a +(1) + 1) h
  50. (ret = Si (ec =1 ol+10 = ()
  51. in ab in dgadicis e
  52. (0- O1 = (2)1
  53. et B =0
  54. iste
  55. hoc calculus pondat
  56. et tamen es verum
  57. (7) G1) veri puntr suit X1
  58. 2 et
  59. sicti qui sum
  60. b) = 100- 100b. (a. b) C) = 200. 100a-200. 100b = 200c Et d (d (d (a. b) c) d) = 300. 200. 1004. 300100b- 30020C
  61. t od
  62. signa
  63. d(a. b) = 1d = tb- d (d (a. b) c) = 2. 1 a - 2 4b - 2c d (d p. 1) C) d) = 3. 2. 1a - 3. 2. 1b - 32c - 3d
  64. itaque d (d (d (d (a. b) 4) d) C) = 4. 3. 2. 1a = 4. 3. 2. 1b - 4. 3. 2C- 4. 3. D - 4e
  65. a + b = . 1a = 8. 1b a+b +c = (. 2. 1a = H. 2. 1b = 2.c 1b1c+d = 3. 21a - 3 2 1b - 31c - 3d
  66. ab + 1ac - ibc + 22ad - 2 abd - 2 cd
  67. ab + gac = Ib C jnnando a+b + Ct et et t =,1. 213. 4. 5 CtC. A + 1. 2. 3. 4 Geteb + 2.3 4. Set C
  68. b 4. 3. 2. 1a = 4.3, 2. 1b -4. 3. 2c- 4. 3d - 4C. Et
  69. in alteram columnam ab + 1aC - ibc +2. 1ad -21d- 2 Cd + + 3. 2. 14 3. 21bC - 3. +ce = 3de
  70. o
  71. a + b+c +d+ e
  72. transfertur
  73. de
  74. DC)C
  75. vel atb + 1C +2d + 3. 2.1C etc) -, b (AC + 2. cd + Z ) -, C (cd + 3C + 4. 3f + et)
  76. (+b sat atbce
  77. ab - F1 aC - 1bc = 1ab (C 11 ac + 11+ bC ego insole columna est solum quod continet d et e etc
  78. crisade e
  79. sd Nic eddendo commode non sit meditio.
  80. colyobertiae
  81. ab +iac = ibc 4 21 ad - 2 bd - 2cd = 12.11 a b - 12. 11 aC + 1. 11. 1bc = 12. 2. lad +12, 2. c bd +. 12. Cd
  82. seu ab en
  83. abc = abc =0
  84. 3os ete d qG ete e et
  85. ubi numeli multi plcalor
  86. et C
  87. ultra numerum
  88. utem
  89. quantitatum
  90. advendarum
  91. ebeunt in P
  92. 1in 2 facit omt,
  93. IIi Z. 1 ab d - 11. 2. 1. abd + 11. abcd B p q2ha Cd + uy2 Rocdd quiso
  94. 1((14
  95. rect.
  96. () ab (1) vera nitas
  97. 15. 15
  98. Cum omnia per summani et
  99. differentiam ex pediri possint, possent omitti
  100. a et beo quia rursus adhibenta
  101. amma et diferentia hujus differentiae et
  102. 2i
  103. itx porro videtur
  104. a+ b in columna eadem est diff. inter a et b
  105. +b +C in Eaiem collmua estdiffei inter et
  106. ans. (a. b) et iater C. At, sed idem est diff. inter
  107. iHta. C) et inter b+ et inter diff (bC) et inter a.
  108. non inutile erit hos exprimem
  109. inter se conjungi atque confere
  110. utr appareat an forte hinc commoda thectertata
  111. a significat si a sit A quam b, fore 1 = (1) seu
  112. oriri possiat
  113. unitati, sn b erit majus fore 1= - (1) sin am aequentur
  114. ad
  115. ~, b
  116. inter se a et b, nihil referre quis sit valor ipsius 1,
  117. oc ambo sint o, siveambo sint 11
  118. nova quantitatis C
  119. hoc non pevare
  120. ortasse
  121. dos

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 154v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0308?run=74