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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 187v

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: 0.74.

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. 186r); this page is its left half.

The machine reads it as

  1. X - 2 ex + e,
  2. aut nexi
  3. + lx i et
  4. X- rex + et
  5. a
  6. Ergo hX + gX - rehX Y eh + LLX KX + LX, m + na
  7. 2eg... +ge .
  8. vel +
  9. ta
  10. a,
  11. Sed in eo video difficultatem, ut dula quand
  12. indetermuatum fundamentalem per alras multiplicando
  13. dantem datae satisue indeterminatarum obtineamus:
  14. quaentur an non utramus multiplicare. ita liceat item jan non liceat
  15. exlicare terminos, quosdam ipsam N in data, ut ita nansciscatur
  16. omnes terminos tat necessarios
  17. CUlnum quoqe inquorendum e restat an aeqratio ductum indeterminatarum
  18. determinari possit ad duas radices aequales utriusque incognitae, ( dum
  19. primum secundum unam, deinde secundum alteram ordinatur; et utroque modo
  20. termii ita qui bis occuirunt bis multiplicantur, secundum nterminos progesso
  21. nis o arivimelicae; tabe quid dignoscere mihi videor, ex methodo tan
  22. Gentium Stnsiana videndum tantum am esea methodus a genentiqada x fidae
  23. locorum tangentibus transferri possit ad tangentes seu perpendiculares ex punctis
  24. datis:
  25. X -X
  26. sI
  27. d- y
  28. a
  29. desm in aian scheda i
  30. LX⊓ l. caelera ut aute, fiet
  31. n
  32. ∞ +f
  33. d-y
  34. 1
  35. 2ax + a X F V sive fal ffaxl, Plax + ra X2 sive l rax + a x
  36. dY 3 ata, a + ax
  37. Ergo 2aX + a X 2afX + asx
  38. Xl+fV dy-yet 2ax + d X 1 V, ert:
  39. M + fl e dy = 2ax + d X
  40. a + aX
  41. ac proinde
  42. +
  43. =a + 7
  44. fier.
  45. d-y
  46. qu
  47. 2ax +q
  48. 2us
  49. 2X ..
  50. p qu+ quq F4
  51. x+f
  52. vs
  53. v
  54. seu de
  55. 19dy L y
  56. a + ax
  57. er
  58. Ergo =. X+f
  59. ax +2nVX+
  60. a +2a X+ aXV
  61. +n’a X2
  62. + 4dn)...
  63. 1d
  64. a
  65. tap
  66. + ran X - a
  67. +2da.
  68. ju
  69. + a+ 7
  70. Ergu X H
  71. Su
  72. d- 1
  73. +a - d + y

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 187v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0376?run=74