Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 45v

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: 0.76.

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

The machine reads it as

  1. Extrahenda est radix Tubica ex D 2+ Y3. multiplicetur per 2 divisorem, fit 18 + 1013
  2. s extractio
  3. ergo duccelit etiam in producto ex ambebus 2+ (abb - ac) = c
  4. Nam esto O, aab + a4 ) ac) = f + 4 sac, eAt sC aab-aa tac) = f - g lac Ergo erit
  5. ea
  6. oa
  7. sit ac= (ab act et Habemus 0 Op = ac. Hatemus
  8. + D = 2f O = D = 29 1aC
  9. es(aabF haad ac)
  10. = aam
  11. 3= aan aam + aan =aa b = C
  12. 3+36) (01)) 100)
  13. f fit 2aab + 3aCf
  14. =
  15. dO+ O+ D + C D (O+D)
  16. fC3f56+
  17. C
  18. aab
  19. Bac
  20. et ee -3ffg ac +d
  21. aa vac
  22. s
  23. ac
  24. cum .a2, 9
  25. etanee
  26. cun f -C, :9gc
  27. et e3 = bb =C res salcedit
  28. bb - (3 = ff - C, :9)
  29. Hinc sit. ff a Chaque + sC - set
  30. quadratus opinia haberi possunt
  31. in rationalitus idc et
  32. pro eponatu l, e
  33. itaque quotias succesit extractio
  34. biromis erit 3 (b + vC)
  35. en _e s, quadratus
  36. Mirum
  37. aab + ad saf sicibit pro eo ponere
  38. pruo autem a semper esse, nam etsi daratur
  39. aab taa dd et ddK = aac et firt aab + ad sac = _ aab + aa Vac
  40. Quia ergo as 4c = 3AHg = a diferunt unitate seu
  41. 9C - 3affg disferunt unitate seu 9
  42. ee
  43. in
  44. i (aab = saC) eigubis est Sace si succedit etium jucaedet aab = aa iae)
  45. 39
  46. propontur 1.
  47. a
  48. 11
  49. 03
  50. = 74G , 1 34 se 1 + (3 23 B)2 B + 3.3. (3
  51. 11 (3) 23 + ((3)2 + 33) 1 1 +(3)23 + (g3 qu (B2 + 23)
  52. 3((++)E3 + YB Y((+(3) 2.3 - r B. qu (32 + 2.3))
  53. +21 = 1+ 3. 4 = 1 + A (3, 23) B qu (B2 + 2.3))
  54. 1+ 213) 1+ 3. 2.3 + 3. 213 + 9. 3(3 = 37 +30+3 = 37+ 12700
  55. BC. (+ _213 = 1 +9003 1+ 60 2700
  56. aab aa V(nab + aaV ac) = g eo yn cd posito co ria
  57. acb
  58. V- co + a
  59. 1cd
  60. = 6+
  61. = f
  62. S
  63. ac
  64. et
  65. pis
  66. v +ae
  67. Ld
  68. 124
  69. 304
  70. f

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 45v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0090?run=74