Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 273

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: 0.75.

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

The machine reads it as

  1. i
  2. 2
  3. eris
  4. siei
  5. cen
  6. 1C3
  7. d
  8. e
  9. DmBE
  10. GOMMEATARLL EN LTDRAMIL.
  11. ∞ X a a - a Z - 77
  12. 273
  13. CE. F2 ay + 2Z y - 77, Pro quadraco BF.
  14. Hlinc cum habeatur aequatio inter quadracum B F bis inventum,
  15. invenietur, ordinata aequalitate, y ∞ 2 2a = 3 4 2 + 2Z- 2 a x - 2. X
  16. FAojam DN ∞V, d NB ∞S, crieque F N ∞ v= y. F quibus
  17. ruxlus facile est invenire quantitatem y, suppositis quancicatibus
  18. v X s. Si enim a quadrato BN. SS abstulero quadratu FN.
  19. vD = = v 7 = py, remanebitss - vV L E Vy = yy, pro quadrato
  20. BP. UInde tacta aequatione incer hanc summam de posteriorem
  21. duarum praecedentium habebitur y ∞ 20- xx + aa + 2 a2 + 22
  22. 2a 2Z- 22
  23. Duibus jam inter se xequatis, e aequatione de x x ordinata,
  24. ACE X X ∞ = + aV X F 55 L
  25. vvZ
  26. +aa + =a a v
  27. +4Z + a vZ
  28. 27
  29. ul
  30. 297
  31. ab
  32. Porro ut inreniantur quantitates vec s, Posit a x ∞ f, mulcipli-
  33. CCtuF~ - f∞ O peF X = f ∞0, de HE X X = fX L ff∞ 0, seu
  34. Xx ∞ = Fx =fF, aequatio ejusdem Forma cum praecedente. LIn-
  35. de, comparando secundum terminum unius cum secundo alte-
  36. rius, emersit v, hoc eAt, DN∞
  37. 244 3 a 2 + Z2 = Z ∞
  38. DI sCu a F Z ablaca relinquit N P ∞
  39. a + 2. Ouxe d
  40. 2
  41. a + Z
  42. Denique cum lI-
  43. nea NO vel FB _ linca NM eandem inter le rationem ha-
  44. beanc, quam linex, qua retractionem vieri D BR menturant;
  45. ee quidem FB ad NM sic, uc B Iad IN: Superes ur d sic ad en
  46. SICUEX adt 2
  47. a Z X
  48. Fetic, mulciplicando extremos, tum medios
  49. a f2 ∞ e x. Unde, relolura aequalitate, invenitur FIL seu
  50. ∞
  51. a e
  52. Cui si addantur DFI de TK, hoc est, ? a, habebitur
  53. Nm
  54. DB

Cite

[Ps. 1], fol. 273. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0295?run=74