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Leibniz-Handschriften zur Mathematik LH 35, 4, 10, 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: 0.78.

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

The machine reads it as

  1. teroie
  2. Detture ct frletoe potuar 1.
  3. Pro 10x+1 =0 et 20X + 21 = 0 fit aequatio litera liberata: 10. 21 - 11. 20 = 0. Hinc jam continualis
  4. explicationibus sit aequatio tellens literam ex duabus proxime altioribus paribus 10Xnao et poa ruta
  5. Et inde natam aequationem litera X carentem) rursus explicando fit aequatiotoldens literam ex ad huc proxime
  6. altioribus 10X + ax +2X + 1320 et 20X + uX +2X + 23 =0. Et ita porro continuando. Cipsa autem
  7. lex aequationis est Lexautem explicationis hoc est dt p fiat
  8. (10) +10. 21 1, L L 0. 22 (13) 250 23 (9. 1192. etc.
  9. (20) - H0 2n (2 HB En (21) - 11. 2n 23 - +101
  10. =I. A =in. 27
  11. inpota ahais pe
  12. l
  13. 1A2 - IR. 2
  14. si aeggue. datae sint 10x +ux ec mo et 20X + 21X et c tunc
  15. in Resultatohibus per tatem caxplicationem aequationibus reperietur semper crestim crescere
  16. ia
  17. equatio pro
  18. in est 13 et 2n est 2
  19. ut multiplicatione numerum membrolum in progressione ad
  20. aqualio cubus inabus x, habet termins 27 pro A, habet pro X Eoilidsbipro , es genule er
  21. pro tollendia litera X, ex duabus aequationibus 1e 10X + 11X et =0 et 20X - 21X et 20 fit aequatio nov
  22. term
  23. nongl. Sed tamen dabitur modis compendiosiis enuntiandi. Tentemus
  24. actu ipso in primis a , X, N, nam in X aperi cietur ad terminos numero 1024
  25. libera ab X, cujus termini sunt
  26. Ex 10X + n =0 et 20X + 2 =0 fit = 19. 21 =0
  27. 11. 2.2
  28. 11. 205- 12.21
  29. + 10 2b 1h 12. 21 F
  30. DE
  31. . 21. 22 - 19. 10 212 =0
  32. + 10. 1
  33. 12. 21. 21
  34. e a v. L = P21. 20.0
  35. + 10.212(16.
  36. 23
  37. (+12. 23
  38. () +102315
  39. 1. 2
  40. G20pBHEI X, UX+ 920 + p. 15) E119 20) l- 5. 205 1 413. 21 1. 0
  41. 12. 2
  42. + 10215 12 23) 1X1 8. 26E +1322
  43. 11. 2051- 13.
  44. r l dh- 13i
  45. 1eere, 18. 12 F1I. 2012 + 12. 20
  46. et =101. ~. 22 - 11 12. 2021
  47. =10. 11. 21. 22
  48. litetes + 1oilti
  49. A usis catul potilluus saet ad investiganium quae figurae sut quadrables ex communi Geometua. sit aequatio 10y + H = 0 . ui X otert in 0,
  50. ta dy= C
  51. d0
  52. +10du

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068007:0009?run=73