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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 161r

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: 0.64.

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

The machine reads it as

  1. a
  2. e
  3. AX + ut
  4. = +
  5. e
  6. x
  7. XX + anuX. F(XX-aa) ax)-r Sxx taa, dx six - an dx-
  8. NXdx s X + ab, x) = SXxxax sx 1ab si dx constans
  9. a
  10. sit XX = aZ fet Adx = L act Z et fiet 4(adZ d Z 5 (a 1 b)
  11. 4
  12. et quia dx constans Ergu A dqe adz: 2 tize fiet dz. saq constans. Ergo
  13. c-1 L
  14. 405
  15. fiet = (, ap aque d2 s7 + a b) M Niut itaque hunt novi etsi ax
  16. e
  17. 4 dLa
  18. constras pountur
  19. X( (X +bx)dq sax f 5, de Sax 1( bX) + s SXda Y(X X +b)
  20. 2
  21. EF X X siXlX S + bXX + 9) Xsi de ((X bXX +C) = (dx abxxtc) + (dx sax H.... )
  22. c
  23. paertm (de Sa + a) fint a b
  24. = y Xt =- logue y X = Y logy ex = d logy X loyy
  25. 3.4)
  26. fit (. lo. (lugy + lg Jligys, olloy logy
  27. rg.
  28. 2
  29. 1
  30. P-x
  31. Et 9 = 2 (dx logx. X. B = 2 Sdx logX. bloy X
  32. lovoy
  33. sin exD = logz seu
  34. = L
  35. log.
  36. Ployx
  37. od an ergo hoc E fdx logX b
  38. g
  39. X
  40. We =logZ
  41. 1n - Z
  42. e
  43. de = dx 2P dv = dZ et dz. = 2nb do
  44. Ergo 7 = 2 de ps
  45. 0g
  46. vo-
  47. V = logX. quaetitur cujus leg. sit BV sit b
  48. fie VV = logZ
  49. V
  50. ve
  51. e
  52. Ve loyze iitaque si V sit logX Ert YY
  53. s
  54. es
  55. fiet
  56. e
  57. lg X GlogX 1 s X= co
  58. p
  59. 2.3 - (63).
  60. seu Z- XE
  61. vo
  62. 9X q
  63. e
  64. bes - (6)5
  65. e q. O = X. Pu L=S
  66. sit ve log2
  67. v.H
  68. b sit b- Zad- b
  69. quadilosque
  70. en
  71. en
  72. 3. 4
  73. V = ligX seu X = b, quaeritur quis
  74. itans sit sellogx
  75. sit numerus Z, cujus logarithmus sit V. seu setlogx. Ique
  76. pono esse
  77. Erit g = - flogr
  78. Iu. v2 - g.
  79. itaque Numeus cujus logarithmus est potentia e. loganthmi ab X)
  80. erit itaque Numerus cujus loganthmus est quadratum
  81. 0g. X) e-
  82. cogx. Itaque ut hactenus habuimus
  83. Loganthim ab X., est X
  84. qodessumens quod faciat Logarithmorum additio, subtracta, multiplicatio
  85. a
  86. divisiou habemus nunc etiam quos nunceros faciant loganthmorum
  87. potentiae. Cm Numeroum ellevatione, divisione, multiplicatione divisione
  88. habemus quid fial in Logaithm rest jam quari potest, quid Namerou additia
  89. vel subhactione praestetm in Loganitimus
  90. l.X=
  91. 1.4r
  92. aX
  93. E
  94. de
  95. a
  96. p
  97. k
  98. e
  99. pe
  100. Ec Ergo si
  101. ata

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 161r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0319?run=74