Search the Nachlass

[Ps. 1], fol. 427

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: 0.73.

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

The machine reads it as

  1. e
  2. DuS, Per P
  3. e
  4. nunem
  5. reducto
  6. commun
  7. ASIBBEM,
  8. cujus se
  9. e0, qu
  10. DE RB DUCTTOHE AE QNAXLOHLH. 427
  11. X X ∞ - Y X + 2
  12. erGOx F ∞ y y X X = 4y x + 4 (CU = 93 ∞ + 2 yy
  13. ∞ 3 ∞ - y 3X X + 2 yy X
  14. 47 X N + 4 X
  15. 17 X - 3 ∞
  16. + y4 X 2 73
  17. seu F py X
  18. +4 ∞3 ∞ = 4y x X L 8 X (eu
  19. F L= X X ∞
  20. pX .L
  21. +a yy X = 8)
  22. L +. 3
  23. + +y3 X = 26
  24. L 169 x - 8y:
  25. F yy ∞ - 8y
  26. +
  27. 3
  28. = 1 Y X = 3
  29. X
  30. (UMMA + y 4 X - 2 73
  31. + 473 - 8yy ∞0.
  32. +1oyy = 16)
  33. +242Y = 26
  34. +5
  35. Deinde conlidero unum quemque terminum leparatum ae qua-
  36. tionis hujus deductae ∞0, _ cum hic duo tancum sint termini,
  37. habeboinde halce duas aequationes
  38. II.
  39. gr. + 473 + 2077. + 14 27. +5∞0, e - 293- 8y7 - 167 - 1600
  40. (eu 93 + 47y + 6y + 8 ∞0.
  41. Duarum quidem aequationum, si juxta praecedentem metho-
  42. dum quaeratur maximus communis divilor, invenietur proiplo
  43. y. = 2 ∞ O; itauE PrOPOlicAXquatio, Cu y (it ∞ -2, dirisibilis
  44. AIC DCFNX = 2 X - 2 ∞0.
  45. Fodem modo, proxonatur haec aequatio
  46. X + = = a x 3 F a a X X = a 3 X F a 2 ∞ 0, decurque iplam dividi
  47. C
  48. polle per aequationem duarum dimentionum, cujus ultimuster-
  49. minus (IE L aa. F Co aurem xquatio illa X x L yX L a a ∞ 0, adeo-
  50. Gue Xx ∞ - p X = a 4. Flinc, Tubrosaro hoc ralore in locuI X X
  51. obtinebitur loco Propolica aequationis alia, in qua x unius can-
  52. cum erit dimentionis, nempe - y3 X - a a yy ∞0.
  53. 2ayy - a
  54. t 6cy + a A66
  55. HIhh 2
  56. X t∞
  57. Cujus

Cite

[Ps. 1], fol. 427. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0449?run=74