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Philosophical Principles Of Natural Religion, fol. 53

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: 0.82.

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

The machine reads it as

  1. X
  2. bc an
  3. Coc
  4. trom
  5. IPPC
  6. ose
  7. GL bC,
  8. FOr
  9. ex Or
  10. Ct haS
  11. l L
  12. MCaTeF
  13. lecond
  14. e lame
  15. L you
  16. ore che
  17. te AC,
  18. infinite
  19. 5 = 0
  20. dau
  21. DE satural Belirion
  22. and cheretore chele infinite Distances AC
  23. must be different accordins co che different
  24. Values oF ot n; and consequenrly ot
  25. any ciro oE chese FEyperboloids Y X = 1.
  26. Whose Concurse wich che Asimptote AC,
  27. We haII denore by ∞ a; and y X = 1,
  28. wrhole Concurse wich AC, We Ball de-
  29. noce by ∞o b, I Cay chac a as lels chan b.
  30. Suppose n = ∞, chen OL = a
  31. = = = 1, in Which C a le che Ordinate
  32. CL, is constantly 1. Wrhich is che proper-
  33. ey oF che Parallelozram AC XO L. wetrich
  34. Chews chac all che FEyperboloids y x = 1
  35. meet wich che asimptoce AC, belore KL,
  36. infinicely producd, meet wich ic; 25 2110
  37. because yx ∞ = 1, is che Lquation For che
  38. intinice Parallelozram, ic may be reckon d
  39. amons che Fsyperboloids. Phele chines
  40. duly considered will remore aIl che Dicti.
  41. culcies ariseine in the differene Lxpressions,
  42. Olthe Pperbolick Spaces, in respeet ot che
  43. intinice Parallelozram, Cor cheUniey is che
  44. lame in boch, ouly che Number oF che
  45. Ddd 3 Ila 704 ertrs
  46. et BnEDI

Cite

Philosophical Principles Of Natural Religion, fol. 53. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0493?run=74