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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 17r

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: 0.79.

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. 18v); this page is its right half.

The machine reads it as

  1. lagina sequens corrigit quae hic non recte
  2. 9ca
  3. h d b
  4. ea
  5. 1
  6. C 0
  7. Series sum
  8. matrix
  9. Series simplex
  10. 80000]0 0061 )1
  11. 60000 1 1
  12. 00 1
  13. 00 0100 4 v.101
  14. 30 10019.
  15. 0111
  16. 0 1000016. 10019
  17. 0 1100125..- 1011, 11
  18. 160100(36
  19. qecq
  20. a + p - 2ap = 9 seu 1 +0- 2. 1. 0 =1
  21. a 1 p 9 se1C1
  22. 6+9B- 2b9 = p 1 + 1 = 2. 1.1 = 0
  23. Rb g = p - b, : 1 - 2b = a + p - 2ap
  24. seja
  25. sit (p) - b = a (t p, - 2ap - 2 ab - 2b p. + 4 ab p
  26. nesso, sit p = a + b - 2ab, :, 2a + 2b - 4 ab
  27. Sed ita incertum est valor ipsius P sit 0, an evanescat, nam tertius casus ut sit p - (0: 0). 2
  28. 0fb seu p = 1+ 1 - 2 3:, 2+2 - 4
  29. itaque assumendo p qualcincunque esse sit et
  30. sumendo a + p - 2 ap = 9 sit 9= a si P sit 0 et q 1 ou si psit 1
  31. seu 1: 2 non potest habere locum
  32. et 9 = p si a sit 0 et 9 = 0 si a et p sit 1
  33. assumi potest p = 0 Ergo q = a
  34. et
  35. 0
  36. p = 0, Y= 0 W =
  37. pe a + p = 2 ap =
  38. cex C + Y + ap = 5
  39. Ergo 9= a
  40. Ergo 5 = c
  41. Abstrahamus an
  42. Col. 1.
  43. pe a tp A Ea p =
  44. ( + q u 2bg = 1
  45. + b + a ft p, B2a p
  46. e2ab 2bp + 4 ab p
  47. 2ab
  48. rat ab- qub-
  49. seu q Li arburab
  50. Eodem modo quaerendo 9 fit n a + b(+ 9- 2b9
  51. 2, a+h
  52. v
  53. a + b - 2ab = - 2
  54. a b+ 2ab + 2a + 2ab- 4 ab, 3a - b nanb
  55. 1b - 2ab
  56. 2ab) L t ab
  57. G= a - il arb. rab
  58. V, N, W sint 0
  59. at b + 9 + 2b
  60. p=
  61. -
  62. 24( ab -a b
  63. -2 ab - 2ag. + 4aba
  64. +b - 2a
  65. a + b - 2ab = - 2 a+ b- 2ab
  66. +
  67. dicendum ergo non haberi ) per hanc aequationem, si a - b
  68. seu 7-
  69. 2, 2al. - a -b
  70. sed quid si a = D et b =1, set videtur fieri aerquatio obsurda seu qu 2.
  71. An ergo q = P, sed hoc est det
  72. Et tamen ex veris non potest sequi nisi verum. Ergo repetarans
  73. 1 et fiet 1 +0-2. 1.8 - 1- 7
  74. Calculum literatem e semper eplicemus in numericis: 40-21.0 - 1-7
  75. rursus b + g - 2b9 = p seu 0 + 1 - 2. 0.1 = 0 male. itaque video me
  76. a + P - 2ap = 9 sit p- 0 et fer ea 46 =0
  77. a et b sunt
  78. impossibile assumsisse, has duas aequationes conjungendo, cum ab senes smplex
  79. inaequales. Id est peribdus non redit in orbem, nisi
  80. post duas summatris columna est un habet
  81. periodum uno gradu altiorem regulante.
  82. 8..
  83. 1101100
  84. summonu b summaliim
  85. at g- rag - h 1, . 2bh - 1 ati - hai E K btk 2bti = g atg raget vam) e.
  86. notatu dignum est
  87. 9 = b.K - 2bR = b+ a + 1 - 2a1 - 2ab - 2b1 + 4ab1 = (+ a +b + h - ibh. Eal - 2aht gabti
  88. id
  89. b -2
  90. et denique g = a + a +9 -2a9 - 2a = 2a9 + 4ag. a +h - rahi
  91. pl asia
  92. +hab ta abh. 8 alt. Y2
  93. hic
  94. id est hinc demonstratur praeter opinionem, io ipsum quod assums
  95. umunde s imntinlitas on itetit er atinti cotinre
  96. uminantae intunstant ese e lot uit arto udt
  97. u
  98. Y
  99. alie
  100. ot
  101. get Cas rapto
  102. rgalo
  103. C
  104. p20
  105. 20
  106. Erg dobitur V, dabitur t
  107. dabitur sed per fractiones
  108. At finctiones fuciuit
  109. ubignitates
  110. 2 _ab 17SB- (abos)v
  111. (. 2a . 1, 25 - 1) B - 2atfunb
  112. (11)
  113. . corsan cas. rahu. 1 -. 1,
  114. et 25- 1 = 1 fit v = 1 - ab = 0
  115. ten caltem V = (2
  116. = ab

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 17r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0033?run=74