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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 42r

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. 41v); this page is its right half.

The machine reads it as

  1. inveniri per Communiem Geometriam
  2. a.
  3. sic ergo assamendum est:
  4. Lvora
  5. adeoque et
  6. ∞ vuh ita enim
  7. V. a in
  8. aequ. a
  9. communis
  10. y non est quantilas analytica et fieri
  11. necestanos et
  12. potest ut inveniatur aliquis arus positis
  13. ms
  14. L ic 2
  15. et a
  16. aequ. 0.
  17. aequ. 0.
  18. licet generaliter y et a non inveniantior
  19. s
  20. porsso aequationis eennalis
  21. Assumta jam huc aquatione utcunque
  22. utique poterit inveniri y ex dato arcu et
  23. proinde describi curva hujus modi ex supposita
  24. Circuli quadratura
  25. rum posito scilicet
  26. invenori y x pure ex dati t et a
  27. facile enim judicari potest an aequatio ista sit
  28. .At inquies etiam paulo
  29. aute assumsimus curvam bec hujusmodo et
  30. se
  31. impossibilis
  32. mgilominus aequatio cial impossibilis
  33. Recte et ideo video jam non sufficere
  34. hoc assumeo, quomodoquoniam a et b
  35. havent inter se quandam relationem differen
  36. dialem haec ergo substituenda est quare
  37. ita praecedemus: ita videbimus impossibilitate
  38. uti eam paulo ante deprehendimus. Itaque
  39. dvid. NV. a) .ao
  40. Calculo dfferentiali inde fiet:
  41. s
  42. y. a, ay
  43. +
  44. avs, in
  45. V. a. in.
  46. V. a
  47. unde fret t aequ
  48. dys
  49. aequatio generalis:
  50. t
  51. V
  52. and
  53. aequ. a at
  54. ssumaturjam alia
  55. b++da Fey+ fcatgtus +hay
  56. 6 fer: R9aequ. OE quae aequalio ordinata secundum
  57. +l+F ma + ny MM aequ.
  58. A2
  59. a
  60. nt
  61. 8 +. a. y. comparetur vel ipsi 8 iniho datae aequatio
  62. i, vel assumtae 2, nam si unicomparari potest comparari potest
  63. ag.
  64. aeq
  65. arisi hac comparmtione litere artillanae determinabentur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 42r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0083?run=73