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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 123r

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: 0.77.

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. 122v); this page is its right half.

The machine reads it as

  1. debet ergo 3 seu V- 2a + b + c = Ab - a +f, aac fieri aequalis rationali
  2. saltem ut indeterminata vinculo liberetur. Quod ut fiat com–
  3. pendiosius fit -2a + b+ c =C, et -a - c = g et ex 19 per 24, 25. fiet
  4. 13
  5. e
  6. = te et b - a = d. Et ex 19 vel 23. per 24, 25, 26 fiet
  7. H eg Ve+ grd+f= rational. videamus primum
  8. an ex e+ gVd+F possit educi radix.
  9. at
  10. AC+S Imenrc ap+sc quadretur
  11. fiet: m + p + 2 emp m + Sc. + m + 2mSC
  12. sit mm+c= e et ommnu
  13. et amminc = 99a +99f
  14. d
  15. +4
  16. fit c= e- mm = ggd +99f: 4 mni
  17. seu remm-mt = g99 d+f. ita nihil tucramur
  18. itaque alia superest via, ut faciamus dF rationalam
  19. et deinde e+g Sd+ etiam rationalem. Ergo d + f aequandus
  20. quadrato dF = (B+ 2f v + vv. fit f= d - vv, : 2V et fier
  21. Ca df = F + V = d + VV, : 2V. et
  22. debet
  23. jam qvv tCV +9d,: 2Y aequari quadrato, seu
  24. 290 + ge vV + 29dV aequai debetqpadhato quod
  25. Redivimus ergo in gibem, nam hoc aeque difficile est, ac quod
  26. initio proposueramus.
  27. si faciamus.
  28. 29V3 + 4CvV + gdV = vveoco fi
  29. fit 29VV + 4 ev + gd = vcoco. sed si hinc velimus indagare
  30. rer reperietur extrahendam esse radicem quadraticam
  31. ex formula, in qua cd ascendit ad cot.
  32. ve + qua+ = ext e + grd+ =
  33. B
  34. hoc examicam
  35. a 4ee= 99d + g9f-40 v2Ve +eC
  36. dc
  37. hinc siee = gud sit gf - Fip2C, atque eo casu solutio
  38. in rationatibus rcedit. Scil. debet esse 13- 2a + b + C = a = c b-
  39. seu qaa = 4ab - NaC + bb F 2bc +Cc = ab - aa - bc - ac
  40. seu ca + bb + CC + 3bC (∞ = 5ab +ZaC
  41. la
  42. t:
  43. addSuB + 2BB +2CB +GbB (5aB) + 5aB p An sic res
  44. aucta
  45. cadice per
  46. el
  47. 3, seu puo x posilo y+B
  48. a C
  49. e
  50. els bC
  51. 5 et
  52. 3e
  53. s
  54. cietur.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 123r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0245?run=74