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Philosophical Principles Of Natural Religion, fol. 39

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. et ci
  2. find
  3. in oF
  4. F the
  5. Ferene
  6. Sutiro
  7. 141p3
  8. tios
  9. la 2 9
  10. tromm
  11. LL let
  12. AI
  13. 5
  14. 0
  15. luxal Bet
  16. LF bC 1. AR = X,
  17. atid the Lquation oF che Curve be y
  18. an.
  19. chen by che common Mechods ot Quadra.
  20. cures, che indetinire Area ABCDFE L.K
  21. 6DeSE
  22. Wrilt b0 X
  23. -Bt
  24. and che indetinire Area
  25. 2 XL n
  26. AOLFEIRI erill be
  27. E = B
  28. Now il
  29. n =ep chen the Lquation oF che Curve will
  30. andche Area ABCDFLK Wrill
  31. beequal co x.
  32. - 1- + =
  33. 1 = 1 - f 1 -F B
  34. + 1.F, ec. concinved in infinicum, (ochae
  35. Unier, is che infinitelr (maIL equal ParE, OF
  36. che Area oF che Apollonian Fsyperbola.
  37. IF che Indetinice Area AC L FC RY BC
  38. requird, chen (becaule X = y In ChAE
  39. B qu
  40. Case) ic becomes
  41. n and where p: = 1.
  42. 1- n
  43. 25 all0 n = 1 chat Area becomes
  44. =_Y. 1 t 1 + 1 F 1, Xc. in infinitum, (0
  45. chac iebisceridene, chacche space adiacen,
  46. 2
  47. C CC4 241D9 2XH 310

Cite

Philosophical Principles Of Natural Religion, fol. 39. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0479?run=74