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Leibniz-Handschriften zur Mathematik LH 35, 3 A 6, fol. 1v

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: 0.78.

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. 2r); this page is its left half.

The machine reads it as

  1. Resumendo:
  2. XDX + ab X + a C X + adX + ate X + a f p0
  3. conferenta aequationi O.
  4. Ex Terminis ultimist.
  5. ex suun 3tiis
  6. ubi ex ten. 2dis mp = n.
  7. le
  8. n ab = a K + ha C a +M
  9. a
  10. ex penultimis K ⊓ aep - anf
  11. 2
  12. sa
  13. Vap H aep- anf P
  14. aderque n ab p - aeso +af + hp V pra
  15. termini antepenultimi hanc dant Aequationem:
  16. et hunc valorem k hise.
  17. et rendo nivalore a
  18. a ph + ak + mal 1 +a2d adeoe prigabe ap rans liph
  19. V 2
  20. a pit a
  21. Termini antepemultimi dant
  22. +0c
  23. Pa
  24. adeq
  25. ti
  26. sive
  27. fiet redurento epplicando
  28. adeoque n
  29. s
  30. nepi abp a ep + h P
  31. pa-af
  32. Corm ini antepemaltimi dant hunc aequationem
  33. et KN +h + ab =na, 0 a
  34. a ph + anK + mal ( a2d
  35. etank h ab n - ua
  36. jam nes
  37. 54 Simn
  38. t H aet p 2ab ae P + 2 abti
  39. exterminis antepeanttinis
  40. rae sera eti , +h p
  41. a p - 2 af p + at fa
  42. Inde patet totum aequationem multiplicundum esse per aep. - 2af p3 + at fr p
  43. Unde +a phaep.
  44. ++h abp= a ep +hp p3
  45. +
  46. +ab
  47. +-a3fP
  48. D
  49. b P ep 2a3bti p + a e P- 2a et pt a
  50. 70.
  51. =a0
  52. Prpa- af. B.
  53. Repat adtinc auna aequatio, sed ob proligatatem persequi operae pretium
  54. non videtur aute conditas Tabulas.
  55. Consultiqus videtur methodo uti mea, per radicum extractiones; ita
  56. eriim calculit ditorue profixin reritantur
  57. unde b V +CVX + ad X + ac Y + a f o unde X p=
  58. +h
  59. gVX al Xura +an ex
  60. tam tam
  61. V XV + ad
  62. 9. -al
  63. = al am -an Unde colli X.
  64. eodem modu tolli potest etiam V. Deande data qualibet aequatione, in qua aliqua sit una tantum
  65. d
  66. incognita, fingi potest aliq quaelibet duarum incigniturum, quantum licet implicata, dummodo
  67. trmeducta aequatione ab hac incognita data, ad alam quantum possibile est variartam sut term norum electio ()
  68. aequatro ultima secundam altram assumtiliam incognilam ordinata, non sit data altior, aut certe si deprimibilis
  69. sa
  70. aepex.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 6, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068219:0002?run=74