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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 250v

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. 249r); this page is its left half.

The machine reads it as

  1. Er
  2. (x pdxy pendent a se invicem prohax nam pro 6+ X
  3. ponendo Z, ex una formula fit altera. Sed et aliter a se invicem pedent, ex degula
  4. mea de indifferenti combinatione in summis summarum. sit erim x sa ec,
  5. fiet ax f= W, et ponendo dx constantemfit dxdx - dar prodit idem solidum, sive
  6. prodi pendent uti pendent a se invicem syax, et Exdy, ita pendent etiam a semvicem
  7. in de) et et S(sax in de
  8. X, b+X
  9. b+p,
  10. dx Sax (bdx pdx) + ((Xdx (dx) = sax ergo res etiam
  11. A bex
  12. Sbex F
  13. bex. X
  14. redacitur ad (xd sax)
  15. S bix
  16. ax ex vertie coaxe;
  17. datur momentum ipsius ex axe bix
  18. par acsaxe
  19. datur momentum ipsius Xd bex T- ex dux
  20. (dx dbex) Quod si daretur et gu dx Hinc haretur et (xxdy, nam
  21. fietqusexgy erqu datur
  22. brx dx pdx + dx ergo sxxdus = C
  23. Est autem dy =
  24. XXbIX Xib+X
  25. drs
  26. sed qudy destentet ab xydu, quod est jam yyax est X qu Sx
  27. Xy dus est -dx B. qus
  28. F, qu. 16x
  29. +dx pax. sed hoc posterius pendet a lesumm.x
  30. X, b+X b+x
  31. b(dx fax + sdx. X =
  32. bix
  33. Pex sex) = sux sax) tstes dx pdx
  34. btx, dbIx
  35. fd a 1 Sdx sax)=
  36. 3at x
  37. ((dx (dx)
  38. Ab+X. X
  39. lix sC
  40. ItX = dx, 20 - X + X - X ete et pdx X X + X
  41. bix
  42. ax (d
  43. bb B 14
  44. bix 1.b 2bb 36 4bt
  45. Pex s
  46. X d bx 11b 4b6 9b 169
  47. log (Blog. XX = sXe dx + elog. X. X dx. Ergo s log. X. X dx = log X. X 1X.
  48. X bIx
  49. E) = legXdx, i - F + f - f etc et sx s
  50. Abex 7
  51. seu ax (dx) = logX, X - x + X - x etc
  52. btx
  53. btx
  54. 1b 2bb 36
  55. X + P = X
  56. lb abb 9b
  57. ek.
  58. stoguiau
  59. soigisls X. t puseip.t
  60. bogXn X estog. X. X ex amstogi X
  61. xx pa = logr. dx, = - X Xe - x aspelyes) d sm nex ps lodetur i stod ti
  62. b+x d7
  63. Cdx (dx
  64. btX X
  65. (dx
  66. = log. X, 2b
  67. st
  68. bb B TF (b+
  69. + X erc
  70. 36 4b3
  71. Eed
  72. XX X + X
  73. 12b 126b 36b 80b
  74. x = logX, flogx = X + X - X ex
  75. 1bb 263 36
  76. + X
  77. X
  78. 4b
  79. + X en
  80. 9bb 166
  81. 1b 26b 363
  82. prodeunt 2.2.3. 433.4
  83. + logX - X + X - X et
  84. 1. bb 4b3 961
  85. log (biX). logx = X +b, logx = Et = X +b
  86. a log bHX. qu. log. X = s qu s + 25 d sx itaque et hoc habelur .X
  87. gE (dx logX. logb +X). L ) sit legex X logX. logb+X = (dx logX. log b + X) +
  88. + (x (dx logbtX) + (CXax SdX). itaque hoc reducitur etiam ad priora prius.
  89. tx
  90. log) X X yfit log bex logx = log. y et bsax + X + (logp. dx = dy: y
  91. X) = log (brX) fil y = lia bex
  92. lar
  93. (ax logb+x
  94. yx SbixilogX SX (gH.
  95. y3X = x+b fit nsu y logy-
  96. X= dx = y fit dy H: dx = x + = et (X+b) log. X = logs lagx logdy logax
  97. (X ax = y Xex -dy 6
  98. X X = SX dx + sX ax + sXlogX. dx
  99. Monet) N- logp tm tonsB ax X SX logK ax = X
  100. hoor
  101. og X+b
  102. x
  103. XCgyX = logV
  104. Xdx + axtogX - do penta
  105. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 250v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0496?run=74