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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 135r

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: 0.83.

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. 134v); this page is its right half.

The machine reads it as

  1. adhuc
  2. nisi forte repetere asemel eandem qu qualis suscepta est
  3. aquationis ab initio data, 18, reformationem operae pretium putemis
  4. quod hujus ipsius calculi eventus docebit, an scilicet aliquid prrofecerimus
  5. reformando
  6. Aequationis ergo nostrae 32. tollamus terminum secundum
  7. (34)
  8. ponendo: Y p c - blc
  9. - 3b2 122
  10. 4a- 4abl + b2(2
  11. cd
  12. 2a et fict:
  13. + 26313 3
  14. 8a - 113- 6a bl2a
  15. ... . . . - - b1
  16. + 2b133
  17. 2a - b1
  18. t
  19. penuctimi multiplicetur per
  20. - 2BlC produci ultimum. Nunc ut videamus an aequatio (35)
  21. 2a - b1 possit censeri tractabilis, sive an quadratum a semisse
  22. ultimi minus non sit quad cubo a triente penultimi, compendii
  23. 26)d: et ipsam C. in hoc quidem examine
  24. causa p bl. appellabimus
  25. emittemus, cum nihil conferat. Jam ergo cubus a 4 +
  26. est (3) 40
  27. ab
  28. 2a - b1
  29. + , + 3d d + sive B8) +adt + ad + a
  30. a
  31. Et quadratum a d + d (29) 46
  32. +
  33. a3
  34. a H
  35. a
  36. 2d+ + d. Ea vero quantitas 39
  37. a a+
  38. a
  39. sine controversia minor quantitate 38. nondum ergo absolvimus desidera
  40. tum. ubi notandum si 38. subtrahatur a 39. restare negationem
  41. quadratica
  42. (41) a
  43. (40) Unde cum extrahi possit
  44. rdix fici d =1 A.-1 videndum an forte ipsa etiam radix cubica
  45. extrahi queat. Nimirum extrahenda erit radix ex
  46. et
  47. 3
  48. +2)
  49. 45)
  50. a
  51. cubica ex
  52. +s- 1 Unde
  53. deberet extrahi posse radix cubica
  54. 2+ f. 1 per 2+ Si 11 3
  55. ee + L21 e4 0sut
  56. ee + 3ec s-1 43ec 4 cs-1
  57. debet esse C 4 3ec 1 2.
  58. et +30 4 e n
  59. et componendo: e3 +3e + dec 4c 13
  60. et e + 3ec = 3ec +c
  61. 1 1.
  62. Quae si susus conferatur praecedenti componatur fier:
  63. 20 4 6ec f 4 sive C3 43c2 C -2 10 ut ante.
  64. e7 2 + 3ec H 1 + ce sive 46c +, ec
  65. 1 4 12c +36c
  66. 82726, c6
  67. =+ 3c
  68. et er 1 + 6c
  69. 9+1 c
  70. et +3eC = 1311. dabit 1 4 12c +26+8RC
  71. 2 u. 2
  72. 1 + ce
  73. et
  74. 82c
  75. +2
  76. W X

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 135r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0269?run=74