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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 133r

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: 0.77.

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. aa + Xx aequ. yy.
  2. XX XXF 1X (. B aep V2 2ay B
  3. y+ 9
  4. 360600
  5. 173
  6. 77
  7. Ergo + X ax aequ y dy (et rursus dy aequ. + fxpx
  8. et iterimus aa + ra qu. g. seu ag aequ. aadly exader 2fclys
  9. 37
  10. Var +x
  11. TaX AE aequ a. AB, X. BC,y
  12. yy aego 2ax + x + da e
  13. I dy a
  14. y sit aequi e+ fX + g XX + h. X + K X . du aequ. f + 29X + 3hXX + 4 KX eto
  15. ydy aequ. fe +HX + fgXX + fh X + fK X ec
  16. +ge + 2X +2ggX+ rgh X + K X
  17. aequ. +3AEX +fGC + + 3th X + 3h K X
  18. +aFex +AKfX +GKGX +AKhX + AKK X
  19. fe aequ. a. seu faqu. a. et aa + 290 aequ. 4 1. seu 9 aequ 4 e 28
  20. A. a7.
  21. a
  22. et
  23. 212
  24. rce
  25. 2C
  26. 13 aec +2a K aequ. 4. 3. a e + a + 2 e 4ceaaFa
  27. 4
  28. 205
  29. 16
  30. seu firt. K aequ. 2. A + a + 3. 4 a C f 3 aaee + 3. 4. a0+
  31. 206
  32. AC. CB. Bd aequales si AF FEd ciculum langant
  33. erit AF aequ. AE
  34. Traxrqua
  35. sit AG aequ. X. AC aequ. a. sit: AG AG. ravegua
  36. x aqu
  37. fier AE aequ S2ax, et GEaequ Trax - XX
  38. jam AF: AD:: EG: GD. seu AF aequ. AD. EG
  39. G7
  40. Ergo AF aequ. 3a Vrax-. Accedente jam
  41. 3a = X
  42. tangentum proprietate: est DG: GE:: GE: + X + a seu
  43. seu DG aequ. _ 2 aX - XX. Et AF aequ 3a, +X - a
  44. X = a
  45. srapux
  46. equando duos ipsius AF valores, fiet: rax (=XX ee qu 3 a X - J aa fXY
  47. et 2a Xaqu3aa. Et X aeqo 3 a quod verum est
  48. +a x
  49. Tentemus in idem accommodari possit ad Hyperbolam
  50. F AFaqu AD. EG aequ 3a Y 2ax + XX
  51. Gd
  52. .3aH +X
  53. ya xta
  54. aequ
  55. sract
  56. Ergo (aXtXXeqo (3 a X + 3 a a (F XD + ax. seu X aequ 2 a
  57. se
  58. L
  59. EGaequara + 9 reqo E L2 ga AErgo Zaa + 2L aa
  60. se AE aequ : a (30; et ACaqu. 43a t21 , 3a + 2a
  61. seu AF aequ. a sed inde oritur impossibile, fit
  62. Cum EGaeqe a Y23a +gaa sunde
  63. patet nullam ex d posse duci tangenter ad Hypertolam, quod
  64. est et verum est
  65. X

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 133r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0265?run=74