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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 267r

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: 0.75.

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. 268v); this page is its right half.

The machine reads it as

  1. 2m +3 ma t b. m smn B FI c.
  2. Multiplicetur aequatio 1. per _ m fiet: 2M ma 2m b m p - 2n 2, 5 mn, + ZC
  3. 3
  4. m b - 2n -3mn f c - 4 n3 - snin - 5 mu. et ex collatis valoribus ipsis in, 3, er 4. per,
  5. Am
  6. +bm - 2n m - 3nm ( 2C - 2, 4, n3 - 2, 5mn - 2, 5 mn, adeoque fiet, rursus
  7. M H +bm -em- 2c + 2,4, n =2, 5. mu., huc
  8. 3n = 2, 5n
  9. +bm + 2,5 nm + 2A, 13 -2C
  10. 274
  11. ∞ + 3 n
  12. sive 4 2, 4, bm + 2, 5 N m (+ 2, 4, n) EC H +2 bn - 2, 3 n3(-
  13. 22,+
  14. 4bm (= 2, 4 n in) - 3, a n m
  15. 5
  16. M2,
  17. +2
  18. +a n
  19. +24 no
  20. 225..
  21. i 27 4,...
  22. qui rator si in xg. 1. niseratur, fiet
  23. aequatio gradus septimi, sed quae ponendo
  24. 210. fiet cubici per quadraticum prri.
  25. Videamus, quid det tifct trium literarum combinatio.
  26. 3 nB
  27. Amo) 2m 8un omu iomnum
  28. -6mnv - 4n
  29. B
  30. pt n ne
  31. e
  32. v m
  33. adeoque reducendo fier
  34. v
  35. no m) 12C( 2, 5 m n - 25, n m = 2, 6mnv - 2, 4n
  36. C = 25, B2 V
  37. vn
  38. X
  39. es
  40. f24
  41. e
  42. e
  43. E d 1 2, 4..
  44. 5an
  45. - 2, 5 N V - 2, 5V n
  46. 3, + v 7 b, - 3nv-3n m- 22
  47. unde aequando duos ipsius m valores, assurgem ad calculum,
  48. sed nisi fallor nimis prolixum.
  49. Rectius ergo utemur tam pro cubo, quam quo quadrato- quadrato; artificio Tabulae, quae
  50. calculum in fallor contrahit: quam abulum alibi calculatam huc repetert imulile est, ejus ope
  51. autem altiores in fallor potentiae aberunt.
  52. 2m 3mnD
  53. p2
  54. b
  55. une fiet, DF
  56. sint datae aequationes duae,
  57. am mnC sit men tix. Mulliplicando aequationem 1per
  58. m n21
  59. fier: 2D + 2E, + 3E (+ O3F) p, bX
  60. bx - 2E ∞2
  61. Bx.
  62. Li
  63. 3CX
  64. c = 5E ∞4, sive 4bX - 2C 17+4, 2E
  65. alqvi posita tantum radice bisecta, in in, et n. fiet EH mnx potitoque 2pop, statim obtinebimus 5
  66. desideratum. Cum alioquin longius commode procedi non possit, nisi scribamus: +4 b
  67. unde quadra ado utrobique fiet X
  68. en., at ex aeg. 1. fiet : 2X-
  69. duabus aequationibus tollendo N, fiet atrabique restabit sola mu
  70. pro quadrato quadrata, hisecando radicem habebimus aequationes:
  71. b
  72. ima a
  73. ix 1I
  74. Smn m
  75. 5
  76. 4, 2 mus _X B C.
  77. 3,3
  78. D= min 1 b. et collatis utrobiq
  79. n +6muC
  80. nv m
  81. nn
  82. quae non difficulter invenietur.
  83. n
  84. +3
  85. + 2c
  86. eritque Mp
  87. 2 +3,2,5
  88. fiet m rjb -3
  89. verre
  90. b - 21
  91. -
  92. in

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 267r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0533?run=74