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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 318r

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: 0.81.

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. 319v); this page is its right half.

The machine reads it as

  1. eseries infimta er phibent relationem generalem
  2. inter duas quantitates, v. g. sit y = X potest poni
  3. y = 1 X + 12 X + 13X + 14X + t. posito X esse minus quam 1. et
  4. vel y = 1 + 12 = 13 + 1a + esc posito X esse maj. quam 1
  5. possit et relatio generalis ex primi per continuationem exponentium in infi–
  6. nitum vg. y- xe
  7. n log
  8. xiite
  9. neeses ita lag. y = 1 log a (10X)
  10. etc
  11. XC (Y)d= X loglogus = log. logix = nX log 1X
  12. tor
  13. etc
  14. nx
  15. et log (logsloglogus - loglog 10 X) = log. 1X) - log 1X = lg 23 X log (13X). 144. et
  16. lognX
  17. sed hoc lommo sed t non ita commod. est haec relatio
  18. ob comprehensiones perpetuas
  19. Quaevis quantitas X potest exprim per 10 4, 2 + 12 2 +1. 5 + 14 4 4 et
  20. ubi pono 10, 11, 12, 13, etc. non posse esse quantitatem nisi 0 vel 1
  21. quonioro
  22. sit jam sit X abscissa et Y ordinata quaeritur dx exprimi possit. Dico non posse,
  23. sed assumi contantem. sit jam g = 20 + a2, + n2 + 23X + et. potest dici y
  24. Sax
  25. 30+31 2+322 + 33. 8 + erc A potest poni 30 - , 420 et 31 = + 21 - dys etc
  26. erit semper ovel 1. utcunque appropiaquent sibi ipsae y
  27. drtax = 21. id hic insigne, quod non assuigitur ad potentias
  28. X
  29. jy- 10 + 2. 20 212 + 2. 20. 2 7 + 333
  30. N5
  31. 20.2 20. 2 20. B 20
  32. H1.
  33. 2. 22 2. 23
  34. 22.
  35. + 21. 4. 22122 +2.27 2 + 21. 24. 2
  36. 15
  37. 21.
  38. 222)
  39. 23.
  40. 2026 202
  41. H. 24 22. 25
  42. 2324
  43. sed incommodum
  44. hic quod coefficientes
  45. sunt inconstantes.
  46. Sed po constantibus perdentur melius procedere expressio per
  47. quaenitur summa progress. Har
  48. dyadicas.
  49. esto sum (+ + + + 9) aliquousque nempe finita:
  50. y = 10+ 112 + 122 + 3. 2 + etc. posito seriem esse periodicam. Possumus scire credo
  51. in unteressum, qo quuo sid quam quoo que numer non excedat periodus
  52. +.1 =
  53. 100
  54. e
  55. So da
  56. a 100
  57. 108H 100 +2
  58. 100
  59. 10013
  60. Lu=1 - 2
  61. 14 = = 2
  62. 2, = 1 - 2 +4 Y + 16-32
  63. 100
  64. 100+4
  65. 4 - 5 + 16

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 318r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0631?run=74