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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 111v

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: 0.80.

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. 112r); this page is its left half.

The machine reads it as

  1. Cle
  2. Generalissime
  3. a + 6. X + Dy + ZXOy aequ. 0.
  4. fiet: 0 + do + dD dy + (q a Oy + Zx dody nqu0
  5. Ergo dx
  6. y
  7. Erpo
  8. u d - dd = 52dd
  9. d0 +ECy
  10. jam X ago A + OX+ B A
  11. +dDy ad+ CX Dy NC
  12. d0Oyttz D
  13. (2, t
  14. u
  15. Quod si ergo Cx est aequ. 1 debet in aequ. B. valore ex posse
  16. dus
  17. 14y2
  18. aus
  19. dividi nominator per numeratorem, vel numerator aequari unitati
  20. Verum an hoc succedere possit, judicatu difficile est, quamdiu Ai
  21. non eliminatur
  22. Quod ut fieri possit pendraliter investigandum
  23. est, quomodo possito
  24. X aequ . Y. et dOxaqu.
  25. possit eliminar X. Quod tradandum est paulo generatius:
  26. D + bX + CX + aX+ + fX gX + hX er aequio
  27. dD + b + 2CX + 3d X + er e+ 5f x A gX F ThX er aequ. 0
  28. t
  29. d +0 +2C +6dXHI eX + 20X + 30gX + arh X etc aequ. 0
  30. e
  31. d. +0 +0 +6d 129 CX + 60 fX + 1209X + 20hX et aqu0.
  32. l
  33. d
  34. IX
  35. saequ.
  36. ecdc.
  37. His aequationibus ascribatur sequens:
  38. X + bX +2CX + 3dX + 4 ex + 5 f X + 69X +7h X erc. aequ. 0
  39. Et ha
  40. Et harum aequationum quaelibet demrrta prima initio data, multiplicetur
  41. per arbitrarias margini ascriptas ac deuique omnes terminos in quibus
  42. habetur X praeter hunc: D X destruamus arbitratias explicando
  43. dx
  44. prout opus est; habentur
  45. exflicationes arbitrariarum
  46. sequentes: per aequationes li sequentes:
  47. +b +2cl +6dm +24 en; + pb aequ. 0. ad tollendum Terminum X
  48. +C +3d l +C M +60 f R; + pC aequ. 0
  49. +d +4 e. l+ 20f M +10gn; +p d aequ. 0
  50. + e +5fl +rgm +210h n; + pe aequ. 0
  51. pr. quibus Scribamus:
  52. ad tollendum terminum X
  53. 2 Ides M Eh ASS une ls b. +6 dm +2+ en; + Pb ago ex 1omt60s nin pe
  54. bod
  55. et ita porro ex quibus facile invenientur I. m n. p.
  56. ei et fiet: X aequ.b +D + C dD
  57. 3
  58. ax
  59. Quod si altera
  60. + in d D +n 4d af
  61. Ax
  62. e
  63. potest autem ax habem aequalis unitati seu negugectiur
  64. Ubi nota mira, oriri posse pheoremata ex 40 quod
  65. non aequ 2. sed forte 3. per b multipercassem, habuissem
  66. eadem opera mutatis mutandis. sine novo calitelo valorem
  67. ippsius X, vel ctutm ipsius X.
  68. n
  69. licet
  70. did est s
  71. cogarithmus
  72. unius cont
  73. stante habet
  74. tione
  75. ad logarichm
  76. atterisse

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 111v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0224?run=74