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Leibniz-Handschriften zur Mathematik LH 35, 3 A 24, fol. 5r

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: 0.84.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. L
  2. Centanda aliqua
  3. Octobe esi 1699
  4. propressio ehiaracterum in
  5. radicum extractionibus qualis est in ees divisionibus seu reductionibus
  6. fractionum ad decimales. Viden.
  7. Vi Hac ratione sciri potest quaenum progossio sit conveniention
  8. naturae, decimalis an alia, si scilicet progressiones
  9. characterum elegantiores uno alterove modo prodeant
  10. pro irrationalibus, quadraturis, et videndum etiam an diversas progessione
  11. +Ab A + XB d1D
  12. X
  13. 648+Y XB
  14. a A CpHA X AB8
  15. Xa _ NGXAA∞ b44I L 5b4b bA 1
  16. ∞ ∞ ∞∞6OBa∞∞46BO∞6166
  17. 4 1
  18. + 2
  19. AX A8 Y24674
  20. LxB
  21. 4 4
  22. Dx
  23. 28 88
  24. Z7
  25. 844
  26. inter se comparando constans aliqua
  27. regula progre pnis delis
  28. progrediendi continuationis pro
  29. fractionibus pariter ac irrationalibus
  30. prodeat
  31. Demonstratio quod
  32. problemata alsiora desrimi
  33. non possint; pounntur
  34. posse deprimi, et ab una parte
  35. statuatur et dentur valores duo
  36. unus per numeros et irrationales
  37. inferiores alter per altiores, manifestum
  38. est, tolli posse omnes radices inferiore
  39. salvis superioribus tum scilicet
  40. numeros in superiorum labus transferendi
  41. fit ductus ab una parte virationalis
  42. quantitas, ab alteu compositum ex
  43. superiorit et numero in se pro
  44. modo gradus ducitur atque ita
  45. tandem habebimus ab una parte
  46. radicem irrationalem irredacibilem
  47. ab altera parte numerum quod
  48. est absurdum. Neque enim ullo modo potest
  49. BBossunt heterogeneae llaecrrationales B invicem
  50. d. destruere, eodem modo demonstratur non posse tolli
  51. 28
  52. imaginarias apparentes. Hinc jum etiam demonstratur, quod
  53. rigorose, quod non detur generalis relatio sectoris, ad arcum
  54. L - 1 + 1 - 1 + L - -
  55. dividatur in septem partes, dabtur arus heptagoni
  56. 2
  57. + X
  58. a p BA 6 4
  59. X ∞ ∞ 8 P ∞ 6 000000000

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 24, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068237:0009?run=74