Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 26v

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: 0.71.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. a
  2. Acta erud. Novembr. 1694
  3. An dz naque +n dn - Zdn = y2 dan + 7 dn + Zdadn
  4. 1.2dZ 128Z 1. 2.347
  5. ubi bini, duo termini post primum s decnt seu duo immertati quivis signis contranis
  6. affecti se destruunt; at duo immediati quivis eorundam signorum sunt summabiles
  7. Nam num sit (naZe + syda = nZ f den sZ in +E5 qz ddn
  8. poplo dtq 0S
  9. et Ge
  10. et Cyydde
  11. +q
  12. (73 adan
  13. 12
  14. 3d
  15. Eigo a ndque = _ ZA - 23 du. + Z ddn
  16. 1
  17. 1.2dZ
  18. 1. 2. 3 .tZ
  19. bl
  20. L az
  21. 73 ddn
  22. 5
  23. a dadr
  24. 1. 2.3.4d3
  25. Hoc Theorema ego cum aliis ex alio principio duxi, foecundiore abia ratione
  26. Egregie tamen placet haec via
  27. -1
  28. Generatiter n d posito tq -0
  29. em
  30. Generaliter d, Z. d n = 4C. Z. dZ d n + ye dmti
  31. Unde
  32. M
  33. (yh ( d n) + ,. C hAI me
  34. et pt omitti mentio ipsius dque constantis
  35. ye
  36. 1
  37. hr1, sZ
  38. +.L
  39. Ergo 5Z
  40. et
  41. y
  42. L
  43. Sh+1d2
  44. utl quan
  45. Gnte st
  46. M htrdn E
  47. 6+1
  48. A+1, h+2, d,
  49. (Zhe que p + - ho3 pnven = i
  50. horibris
  51. t 1
  52. ositu ddque 0
  53. In
  54. Lan + e
  55. hal, hior, hB (2)
  56. ddn = 1
  57. yh.
  58. h+1
  59. AM
  60. a
  61. a 1 --
  62. hei, he h13 A
  63. yhtr jn
  64. hot, ha 2dqV
  65. h+3
  66. +
  67. I. I
  68. hot, ht, hoq, V
  69. Alia similis consequentia instituetur hoc modo:
  70. = et (Z dn: = eet) Ze. d 1
  71. ata
  72. a et
  73. Unde fit theorema tale
  74. Nota dn= ddn dn = dedn
  75. Cete
  76. sa = sazn, et ssu = Sa san posito d = 1
  77. paque
  78. cez. t d nat
  79. Eravim calculo sic scribi dobet
  80. P. P-1
  81. P. C. 1. C-2
  82. dn = Z dn - e. Z: d n. du + e. Z. d. n. dZ = . q
  83. Im
  84. e im
  85. =1 1m- 1
  86. 822 Im a2
  87. 3
  88. nZ Bt
  89. ubi notandum posse quidem e esse numerum non integrum, sed m semper integrum ess
  90. nisi quis ad insea meeta physicarum, potentiarum (seu Logarithmotum) metaphysices nescio quas differentias fangere veelit
  91. sed qui Etsi autem sic exhauririm videatur tamen non tamen hoc fit nam Cd n= Sn
  92. 2
  93. et d est ss seu se
  94. dn =,
  95. d
  96. posilo eise integium afformativum
  97. AH = fen =B et)
  98. Hinc , (posito m) posito ex. gr. M = 1 ex aeq. 1. fit
  99. E dn = e Z n. + e ye-2
  100. e
  101. V
  102. oseu dque sumta pro unitate fit
  103. 3
  104. Sndzue - e3 7
  105. saq sin +B Z . ostu
  106. Zdin = Ze dn - e. Z du + e. 2e n - 8 q7 sn + 12. Eeug
  107. 5
  108. ((n = etc
  109. Ck
  110. H Nempe si _a M = 2, patet fore d n = dun, et d n = dn et d’ n seu d’n = n
  111. et a
  112. a
  113. vel dn = ( et den = sen = n
  114. omp-smp
  115. Ex quibus intellicitur quam arte summae intelligantur differentiis reciprocae, adioque summae summa
  116. demer seble pala
  117. e
  118. ponantum
  119. arum _C Teroiri a b C d e ete summa nemp l diq mt tb
  120. risficnte l m n p esell Feraim N A sat
  121. d
  122. 2addn
  123. 1. 2. 34E
  124. etc
  125. 2Z dn
  126. t aZ
  127. ek
  128. gh+ im
  129. dln
  130. yhr Imt1
  131. M+
  132. y suti
  133. ut ita portis
  134. sira i

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 26v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0052?run=74