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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 178v

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.

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The machine reads it as

  1. Latera hianguli rectamguli b, a x, ex- b sypoteus. pnum acuvoiie ratem bes esse eusins
  2. E cegb. ob Tiang. rectanus. est aa . 2ap (b6) + a - rax +Xp = ccXX - 2bCX(+ 66 )
  3. ob cubum, fit (b) + a3- 3aa X + 3 aX -X + Cx - 3ccbX + 3 Cbb X (=b) cubo aequat
  4. abtem cubo a, et praeteren facit c = aa et d = bb, ut habeat aeq. in qua solum
  5. sit X. simpler. aquemus et nos cabo a, sed faciamus c - d tunc utvaque
  6. aequatio rercta erit ad X. nams ex aeq. 2. fiit - Baa + fax- bX + 2b1 =0
  7. et ex aeq. 1 fit a - 2ax t 2bX 0 fiet X = bb = aa : a- b seu X = b - a
  8. sd la sit bipra cotia intentum et X = a a B, 2a - 2b et set
  9. (a) = (2) a - 4 ab + 2bb. sed haec ratione solutio non procedit. nam
  10. fiet + a h a - 2 ab = b 12. ergo sic potius
  11. ponendo ut ute cxd faciamus (a_-3aa X +3aX. a exth aext ex
  12. 3cbb - 3b, X-
  13. sit =d, et sit et lb. aa,: 4.
  14. Sd 76
  15. et ex aeg. 1. fiat X= a, : 2a -2b Et ex aeg. 3 siet - a- 3b- aC: e
  16. verum sic sub fineo nihil amplius super est
  17. et sict X = 3a - 3bec: dd = 3a C, : e C: d + 1 = 3a - 3bceids. 2 cb t ad bcttaid a
  18. arbitrarium. contenti ergo simus hoc ut fiat e= cbb -aa,: a
  19. seu et fit X=
  20. ex aequ. 1. faciamus XX + 2bc: d - 2a + () bci d - a = () bcid - a - aa. 1 - c. dd
  21. dd
  22. 16)
  23. 1- cc: d
  24. d 13) 1qbc. d - a - ca - cc d dc c.d. a
  25. fiet X E cendo
  26. 1d ccidd
  27. ergo extahenda est radix ex.
  28. 1- cc: dd
  29. x( 3n y + 3XyL y) = Enyre ( yrB
  30. + (8Y
  31. + Xo( 3X y) + 3Xy 4 9
  32. x ysteyee (t n yoxyy
  33. + 8X313
  34. fit 6X Xy = 2y
  35. 3X + 4Xy = yt
  36. seu X
  37. 15
  38. a
  39. +x q axsesi
  40. qt
  41. (8Xyst S. Ixjerue ayere
  42. H
  43. =2X + 6X y
  44. T Y y q. A suu 6xi ros rq
  45. An sic 2X + 6x + 8X1 = H C YGCX
  46. sit Xy= F fiet 2X+ y+ 9f= e
  47. fiet N +Sy +qXy 4 eX
  48. Zry ut Ge X = 1of+ ny et C = 2ot uy
  49. t X frei 14, I y. 10 +6. 11. 5. 10 4 4. 11.y. 10410t =0
  50. 3 yt +4.105) =411. 219 -4, 11. 20y -10. 20
  51. 410. 2 y 4 3 et ut ev
  52. XFK
  53. ubi faciendo 611. 10 - 4. 11. 21 = 8 se. 3. 11. 10= 2 21 20 +4. 15 sit 11= -1, coanascent
  54. et 20=103 sea tunc non licet destuere yt.
  55. p
  56. una fit 20 = 10
  57. = 4. 10. 213:, 3. 10 + 2. 21

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 178v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0356?run=74