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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 29r

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: 0.82.

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. 28v); this page is its right half.

The machine reads it as

  1. X- q aquo 0.
  2. N X + eabiX + fa X t bCX + V a bcX ga X HlaebC XF na bC X+na bext
  3. bC
  4. abc
  5. abc Nab
  6. aC
  7. NpC
  8. abc
  9. +0409,
  10. +D4097
  11. X = 3 aequ. 0
  12. X-
  13. C2
  14. ib
  15. +6817
  16. et h, 1296
  17. 1 et 2
  18. 4096 + 5i3 f +29 + 16h + 20 aequ. 0.. Ergo 3584 - 4809 + 16t - 510d nqu. 0
  19. Y X = 1
  20. 2512- 5129-5120 per 1
  21. 1292 - 2409 + 8h - 2550 aequ. 0
  22. es jungantur X = et X + 1. fiet . 531441 +5, 17,0561 + 97 57, 81 + h, 16,81 aequ 1 + f, 17, + 9 254 h.6
  23. Ergo
  24. 53144P + f, 17, 6560f + 257, 80, 9 + 16, 80, h nqu. 9
  25. 6643 + 17,82 f + 2579 +16 h aequ. 0
  26. =17, 8 ~ 1782, 9- 17826 , er 1.
  27. 3584 + 4809+ 510
  28. 1165 - 4579 - 884 aequ. 0
  29. XX aqu o. fit 1+ 35 + 2579 7 ibh + 4047 B agu.o sel -3568 +740g +4590 D aqu.
  30. -17 = 179 -136 - 35841 289+ 5108
  31. 9 aequ 1165 - 8840
  32. =1784 +3609 + 2295 aque
  33. 9 aequ 1784- 309 22978
  34. 229Y360
  35. poteremus hac modo investigare progressionem: Primo em avomodu X. X.
  36. X4. X. X. X. X et exprimantur per a a vel a vel a etc vel a. junctis
  37. rectangulis ab. abc. abed. erc. deinde sumemus X. X. X6. Xd. X et. et videbimus
  38. quomodo exprimantur per a. ae. vel a aeb a. a. a ad. e a junctis aeb
  39. a 12C a bc d. abede inde sumemus X X. ~ X X. et videbimus quomodo expri
  40. mantur omnia per a. a. a. a a5 junctis ab, ab. abCd abCde
  41. Inde sumemus Xt X. N X. et vodeamus quomodo ibi omnia exprimantur per A a. a. a. a
  42. junctis aB. 42b+ 4 44444
  43. item sumemus X. Xio. X. Xo et videamus quomodo
  44. omnia exprimantur per a. 4, a11 a junctis a b. à c. atad
  45. X pu a. ab. n pa abdabe. A)) X a. atu abc abid (abide)
  46. X at.) ab X pr a ab. abc X a. ab abe abed X a. a V a bc à v d: abide.
  47. X per a. a
  48. X. e a). ab.
  49. X per
  50. e per a
  51. pr a
  52. X per a. a
  53. a
  54. t
  55. X10
  56. a
  57. ad
  58. ecc
  59. ab
  60. Xaqu. a+b
  61. X jer a. ab abe X a. ab abd. abe X per a. ab. ac. abe d. abede
  62. X per a3. ab
  63. N per ab ab
  64. X7 pr a ab
  65. peur a
  66. ab
  67. +2 a. ab abc
  68. a ab abc
  69. a ab2 abc
  70. a1 ab. abc
  71. a ab abc
  72. sic
  73. Xaequ. at b+c.
  74. + per a. ab abc
  75. N per a. ab. abc
  76. X per a’àb3. abe
  77. per atab. abc. abid
  78. Xd. ad a V abti abed
  79. XI a ab ab eabed
  80. X6 a. ab 2b Ct. abid
  81. X a ab. abc abid
  82. X per a. ab. (abc. abcd
  83. X per a. ab) abc. abco
  84. X1 per a. 21) abe abc d abide
  85. X aqu. a + b+ C+ d
  86. aequ
  87. +9535537
  88. =
  89. 1+ f + 9 + D aequ. 0
  90. a1
  91. seu fier:
  92. seu dividendo per. 8
  93. Ratio esionis
  94. pese
  95. per a
  96. Xaqu.
  97. Expressio ipsa:

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 29r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0059?run=74