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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 68r

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: 0.87.

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

The machine reads it as

  1. (Cx et
  2. Formula duarum literarum rationalis integra
  3. ad era resolvi potest in productum
  4. ex duabus, l et hujus producti potentias, et in
  5. forimulas ex alterulta litera sola formatas
  6. sit formula generalis: 100 = 110X + IIIXy + 120XX + 12IXXy + 10X
  7. 102 gy 1I2 Xgy 10343
  8. 101 y
  9. + 122XXyy + 13. Xy + 140X + 132 X3yy + 191Xy + 190X + 133X 7 192X yy + 1BIX, +160X
  10. 113 X p 104 123 XX y3 114 X yt 1047
  11. Haec ita ordinabitur secundum Xy,
  12. 12a ase 105y
  13. A 110 + 10 X + 120XX + 130X etc Y (XY). et geaeriter tettridi 1
  14. 201 y 1027y 103 y3
  15. 1II + I2IX + 13IXX + 14IXX et C Z (X
  16. 112 y 113 9y 114 yy
  17. 122 + 132X + I42 XX + I5Z XX etc Y (XI
  18. 123y 1249y 125gy
  19. 33 + 143X + 153 XX + 163 XX ese
  20. 1349 135 yy 1367y
  21. possemus etiam examinare, quomodo
  22. quadratum, Cubus vel alia potentia formulae
  23. veneralis e exprimatur er ordinando
  24. Celemo
  25. secundum eXV. Item factum ex duabus
  26. formulis generalibus vel alia forma, at
  27. ut (5 vel ( D E, vel OD, etc.
  28. Et generaliter potentias
  29. an Xe y afficiet
  30. afficiet
  31. membium
  32. Fne
  33. l. nte. C. X
  34. l. C. nt.
  35. p
  36. Xy multiplicabitur
  37. l. 3+2. 3, XX
  38. l. 3. 3+2. yi
  39. seu per 153 Xx
  40. 135 9y
  41. 120 XX + VFIXy +110X +100 dividatur per _ 210X + 200. seu hoc multiplicet
  42. per 307 + 300, fiet
  43. 210. 310XX +2. 810. 310Xy + 200. 31aX + 200. 300
  44. 0: 300)S
  45. fit 210. 310 = 120 = 1II:2 200.310+710.300=110 nique 290. 300 =100
  46. sit 2 310 =1 fiet 210 = 120 200 = 110 -210.300 = 100:300 sen 10
  47. 200 = 110 a = 120.300 = 100. 300
  48. V. 9.
  49. per

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 68r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0135?run=74