Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 34v

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: 0.76.

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. 36r); this page is its left half.

The machine reads it as

  1. +125
  2. 1
  3. 29, 2
  4. +6,1
  5. 46, 15
  6. +6,C
  7. eas
  8. = 25 af
  9. siuve
  10. 1di
  11. 25 af
  12. +225 ∞V
  13. 81
  14. 15a+ 18d(a
  15. C ge
  16. 15
  17. 41
  18. +90 90 135
  19. 51
  20. Valores ergo ipsarum, e, g, l, h. invenimus sane simplicissimos, nempe
  21. e p- 2af
  22. 3β
  23. 97. f
  24. 3a
  25. l
  26. -2 f2
  27. ja
  28. hp1 = 2f
  29. imatiomd emiset aequationes collatitias progre–
  30. (1) diamur, ubi b Fea + e BC sive explicata e, fier: +4a5 a - 2af βBC3 sive
  31. (18) b p = 4af - 6aβc
  32. 33
  33. es
  34. collatis porro secundis, fiet:
  35. 337
  36. (19) = reβdu (’a + eBC9PX B + 2B9t a + 2β96a( ca + C7 4a f- 3f6aBC- 25 a2 a
  37. +ued
  38. sive explicando e firper i2 fiei
  39. (0) 2409(a +2af Cc3 +. 25 425β426 cas
  40. adoq
  41. (24)
  42. (22)
  43. (21)
  44. 195 a + fda 8 ds =n (ct n(s 18 spe 18 a (, ex entug
  45. divisisque omnibus per fa ( hunc denique habebimus valorem ipsius c
  46. sive multiplicatis omnibus per 3, et divisis per fBa, fiet:
  47. +36dBa +18 C∞ (8a+ n5d ( (1) a5) -=185c 7- (8) fa,
  48. ac dividendo per ac destructis destruendis, fiet, C s
  49. 22
  50. 3
  51. sive c
  52. 1 f a + 18 dAa
  53. - 22 f a + 36d βa
  54. collatitiam.
  55. = 15B, +9B
  56. F306 - 18β.
  57. superest ut veniamus ad aequationem ultimam, quam cum
  58. ingrediantur e, b C. ideoque multiplicanda erit tota illa aequatio
  59. per = 135B +81 , itaque fiet:
  60. Cd45(d27 CAs (d a 135C45Bdd81 , + (915(4a5 + (9156a + (39aas g
  61. (23)
  62. Feganfa B +B9 a18 dea β A + 2f a 15(- 2f a9. Dividum
  63. pro g, et C substituam,e eorum ualorem, et tota aequatio 23 multiplicanda
  64. erit per =15Ba + 9Ba, et siet: sed prius dividemus omnia pe a itaque sufficit
  65. et fiet:
  66. multiplicari omnia per 415+9.
  67. Edrerasrad45e 2fge a- d.7( af (a =4 32af95
  68. Bd4562a5∞9 P d +5 βhaf = 15Bd27 32af +9(d27 32af 4 15f Cd a 135 B 19 (a15 (
  69. +15fBda 81 (3 +9fBd a81 (3, -5fβB1544f 43f15, 4a-3 (f156(ufa
  70. F3P fB 15,6, 18d3a,, 4. 5(B (379, + a f =3β(5, 9, 2a7, +38789, 6 ufa
  71. + 355B9, 6, 18dβa +5fB22 11, 4∞f +3f βP 1,407, +5(18d-3Bf1Sd Ba
  72. N) = 30 f15 32418fa15( 430f a 9 - 18f’ a 9
  73. Sed ne quis in tam
  74. 45 Sed ut error, qui in calculum tam prolixum quam est postremus, irrepere potuit,
  75. itetur; eandem aequationem 23, aliter ita enuntiabimus:
  76. C45 d, p daf
  77. t
  78. 16
  79. +(127
  80. +81
  81. 7
  82. 2, +45β104)
  83. 3, 4 27.....
  84. 5,6, + 18,... ..
  85. 18....
  86. +16, gC 18 (3 da 9 p421 fa
  87. 3f
  88. (=15, 3 Cafg
  89. 29,..
  90. F49

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 34v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0068?run=73