Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 19

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.

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

The machine reads it as

  1. eaer.
  2. 1IO1S0
  3. 2b5.
  4. Cub. 272
  5. Rad. 3 N
  6. XL
  7. 32
  8. 9r1.
  9. =~t. 1. d11.
  10. L. PLuS.
  11. MIAPHESEOS IINEVBRSAL1S.
  12. 2.X
  13. L27X = 2X
  14. 2 X
  15. 2.∞ + AXX + 4. XX
  16. 34XE + 3X∞ = 2X
  17. 12X4 - 8 X3
  18. pet
  19. 36∞
  20. BX X - 2 X
  21. =6∞3 L. 4XX
  22. 9X2 LLa4XX
  23. 2.71 361L2bib.dCCo
  24. +735~+- F 5 quocus secund. L 5
  25. L 27X
  26. B X X = 2 1
  27. 9X+ - 6X3
  28. Ct
  29. t 2
  30. =3XX - 2 X
  31. L
  32. + 27 ∞ + - 36∞3 + 12 X X + 7GXX- 5OX = 125.
  33. + 5 PeT 3
  34. L135∞ + - 18OX3 F6OXX. + 225XX - 15OX
  35. Cacerum si quantitates, ex quibus radix extrahi debet, cales
  36. Fuerine, uc radix praedicto modo inreniri non possie, designabitar
  37. ipla praetigendo quoncicacibus propolitis signum V. UE ad exErA-
  38. hendum radicem quadratam ex aq. Scribo V aq; quo indicatur
  39. radicem quadratam ex aq esse exrractam, vel ad huc esse exIra-
  40. hendam. Sic et V a a. F b b designabie radicem quadratam ex
  41. aa + bb.
  42. Similiter ad extrahendum radicem cubicam ex a ag, fcribo
  43. VC. aag. UIE de V C. a3 = b3 + abb, ad extrahiendam radicem
  44. cubicam ex a3 = b3- F ab b. Oux quidem radices vocantur quan-
  45. citares Surdx seu Trracionales, ad modum numerorum lurdorum
  46. Seu irrationalium, de quibus Acichunerici asunt.
  47. Cbinocandum, lignum V, rocari Signum Radicale, atque in
  48. enere ulurpari ad denotandam quamcunque radicem, sire Ou2-
  49. dracam, live Cubicum, sive Oundrato- quadratam, eec; sed ad il.
  50. lam distinguendam; communiter scribir o, vel etiam Cimplici.
  51. cer V, ad denocandam radicem Ouadratam: _ V C, ad denoran-
  52. dam radicem Cubicam: ec V 9O Ccu rV, ad denocandam radi-
  53. cem Ouodrato quadratam, dec. quae radices eriam (ic delignan-
  54. TuT: Y(3, V3, Y (4), dec; acque ab aliis, hoc quoque pacto:
  55. 83Y (C, V88, ec.
  56. +

Cite

Ps. 2, fol. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0043?run=74