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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 86r

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: 0.78.

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. 85v); this page is its right half.

The machine reads it as

  1. +2 + 31 CG (+32Ed I + 33ed8)= 1405 + 4159 (+ q f d V + 43fdes
  2. = 32de l = 33deg
  3. + 32de V + 33de
  4. +are1p + d338
  5. 142fdco p + 43 fdcoe
  6. = q2 + fl - 43 f8 + 42 df 1 + 43 df8
  7. agisa aess tanis is hof e
  8. iea aequando O = D, fiet 32 e( + 33e = 42fY + 43f quatio trabilis
  9. 3oe +3a
  10. o. 42df d42f
  11. -31 e 443d5 = d43f) :, 33C - 43f
  12. u a tiata.sam pol nduo 2, 3o tiluo dco = +41 F + 33de + dese
  13. ae quatro tractabilis
  14. et fiet 32de t 4ge - 42df- 4225 = 3. 3 de + d3, 0 - 43 df - d435
  15. seu log (32 e - 42f) = log. (33C - 43f) = 1: a
  16. log m - logn = loq (m : n) sit logm - lugn = i: a fit log m: n = 1: a
  17. seu m: n = B1: a adeoque fit 328 -42f7 :, 33C- 43f = b1: a
  18. sed ita bis datur e: F
  19. An ergo sic faciamus 405 - 30e 41F - 31 C = 4 de, et ex duobus valoribus
  20. 32C-425 33C - 435
  21. ipsius ded fiet 32 de + d32C - 42d5 daL. f 37 de + 33C - 43f d435 = d
  22. et fial. log (32C - 42f) = log (33 e - 435) = E : a
  23. seu fiet
  24. 32 C - 42f3:, 33e = 43f = bE: a, sed hinc tolcendo c: f, et substituendo in aeq. O
  25. habemus difficilem aequationem pro E
  26. quid si aequando aulores ipsius deo, faciamus
  27. 32P -425 = β et 33C -39 = )
  28. est deo = 40f - 30C + d logβ = 4 f- 31 e + d log7)
  29. faciamus 40 f - 20e - 41 f - 31C. = r_ log (V. (3)
  30. Redeamus ad aegg. 30 V +31G + 32 d + 33d9 -0
  31. 32dco 2p +330
  32. et - r (log): (B) + d log (Y. (3)
  33. et 400 + 41 + 42 dip + 13 d f =0
  34. 42 dc. V +43l0
  35. (Sit aequatio 5e + sign + 50 dA + 5i den = 0 fit A = b+ n - 9. b
  36. EalsB N + d51 M
  37. E0g s + 51
  38. d50 2 + d5iq
  39. 50t + Sid
  40. 50d y + si dC
  41. Nom prodes
  42. unde vedeo deo esse inutile, et posse poni =d
  43. et fiet 50 = (30 - 32 d 5) 51, : 32 = (+0 - 42d53) 51 : 42
  44. et ebanescente 51 sit evarescit et dB
  45. reide fiet dA = 1 at b + d b dn - Pdt b + d5b
  46. 000= 30CY
  47. Set abt t avr sites
  48. Exbinis valoribus e fit 32. 50 +32. 51 13 = 3051 + 32. 51 duo
  49. fiat 30+ 0b
  50. 33C - 43f
  51. 50 +sidB h= 4 4agdu
  52. 3edco Y +33dc0
  53. ardo Y FaSdlo
  54. 31 + 33deo -s 41 +93deo - n habetur d 4 31 +0d t
  55. +32de0. 40+2deo
  56. 2502320-41f
  57. 30e + 3e + 3slis. 121 q. apti ara arsilpes 4.f ag
  58. 3 dco V 331c0g
  59. Habemus ae quationes binas ex datis ductas, 3iβ, + 31C + 32 d p + 33 d es
  60. addatur et dematur
  61. 36.9 50
  62. - 31. 40 4404 (B0. 43
  63. et ex agu duabus per 30 +32dco, hac per posteriore seu rq. 2. per 40 +g2 dio divisis sic
  64. pncte senaqu
  65. du + 27d9 +14
  66. 472 + ad5g
  67. (3. . +42s o nste
  68. (33. 40. + 3342d10) d +(0 +42deo) 5
  69. =0 seu -d2 = 630. 43- 35. 47dW) de - o + 32c) n
  70. 3240 (432. 42du) 30. 42 ( 32. 92 deo)
  71. dlebet c ut ergovalor ipsius a summari possit, debet esse
  72. (40 +a2 duo) = (30 + 3r duo) e
  73. 32.40 -30.42
  74. videamus an aliqua arte aequatio
  75. 32. 40-30. 42
  76. ~ 51dy +61 d = possit redidi solubilis
  77. ubi 51 et Et sunt datae, sial = m b et V ( est; et
  78. ip = hy + KV q= ly + mx fiet sidhis +, dk v + Sihdys +51 Kdv
  79. fit esu = - 6; =
  80. a t 2
  81. 32. B
  82. o-
  83. Sidlu 4+b.dmv + 6eldus +6. m do
  84. n seu log est Hoastans sed ita etium SI: Et foret ostans nom licet
  85. dM
  86. + 32eduo V F33Cdco G
  87. C = 3t io, f 2dauo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 86r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0169?run=74