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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 90v

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: 0.73.

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. 91r); this page is its left half.

The machine reads it as

  1. Datis quadrato AD recta.
  2. problema papui a Cartesio relatum:
  3. nlinea BN podicere latus AC usquad E, ita ut 2F, duca ab E versus H, sit aequals
  4. e
  5. ipsi NB
  6. si
  7. 103
  8. ri
  9. H - HM - a. B
  10. AB _A sa +HB
  11. Ergo H
  12. a
  13. HA HA + HB
  14. positoque HL = X et HA. Z fiet
  15. H
  16. sed quia AB semper constans vocetur b.
  17. id
  18. fiet LM = a
  19. SHA V
  20. E
  21. M W ML He HE a
  22. b2 11A= b0
  23. HB
  24. sive y2Z + y 26 = a6
  25. a
  26. que
  27. v
  28. Ergo LM HA+ ab
  29. V positaque a Z= rb
  30. a
  31. 2+ 62
  32. fiet y rb + 3b = ab7 seu yr + yb2 = a b. seu yr + yb = ab
  33. An ex pus +Sb faciemus Y u r, et Z rb, et y= ta,
  34. n
  35. fiet: rbta + tab = ab sive r+ + +b = ab, et r +b = ab
  36. Ergo posito r+ b = X, fiet X = aet et 4 = E)
  37. fiet: X = C
  38. Aliter, LM =
  39. HL
  40. = a
  41. t
  42. ab
  43. SMa b
  44. HL + t A sup b
  45. ot
  46. HL + LA + 2HLAL
  47. HL
  48. B =BB= HA. Eigd LA=
  49. op HL + CA 2HL. Z
  50. At eA+AL
  51. +62
  52. Ergo AL Et LA tiC 4 2HL3. AL + HLFV.
  53. =HL aLLA a +2ALHa
  54. b: Lm H at hoc = b in cusu proble
  55. B.
  56. batM = PB 2A malis praeserts Ergo B bEA- LM HA. Eg
  57. Z M = Y AA - bY = aV s HAL ZNABEB H( + = Hs a
  58. TA. 2
  59. sE. HA- 2HA, b + HAZ
  60. tte nito
  61. a
  62. AH A b- 2+ Ab b
  63. LM
  64. HA aiseu si HA= ~
  65. similis
  66. et
  67. se
  68. HA fiet:
  69. ebX X ach AX a2b
  70. + b4 = 0
  71. a
  72. Haec aequatio eadem est cum ea quam Cgrresius recta va invenerati suppo
  73. supporendo DF incognitam =X. hab AE = a. EF= C. tum go fecerirm AC- b, et EF- 1a
  74. habit ul
  75. M Lak
  76. X+ = 2b X
  77. 2a X = 2a x + a = opvel meis signis adhibilis
  78. 26
  79. 2.
  80. 7 2rC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 90v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0182?run=74