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Philosophical Principles Of Natural Religion, fol. 40

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: 0.72.

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

The machine reads it as

  1. Bhiotorbical
  2. Drinciptes
  3. eo boch che ssimptotes oE che appollonian
  4. FErperbola, is intinice; and che whole SpaCC
  5. on boch ssimptotes = ∞ 2:
  6. IFn = 2. Etic Area ABCDL R, becomeS
  7. Xi 3
  8. 3
  9. or (compurins only co L Htere
  10. AI = X = LF = 1) che Area ABCDFL
  11. = 2) 2(= 1 2. f 4 f. 8
  12. de
  13. DeseOC
  14. 16, 8c. Now chis is a Ceometricat PFO.
  15. prection, Whose Arst Term is 1, and it ic bc
  16. continued only eill its last be co 1, Cince rhC
  17. Ratio OE che TermS IS 1 FO 2. iis infinite-
  18. 1D3
  19. ly (mall equal pare, by che precedinq Arti
  20. ce willbe x =
  21. 2
  22. = 2. and (O Fhe AW
  23. incerminaced Space, contain d berreen che
  24. Curve and ies Asimptote, in chis Fyperboloid,
  25. ould be equalco an infinite Number otocn
  26. EINOS, Or ∞ 2. 25 allo chis Space wouldpo et
  27. be double ot chie appollonian Fyperbolick, oqu
  28. reg
  29. Space.Pnd likevile, becaule wten
  30. n = 2, dnd y = 1, che Space BF FIL
  31. n als
  32. nLY
  33. ex
  34. C2)2) an G1d02 (letoni
  35. 3A3 8e l
  36. 68
  37. 10 10. 13C 313 70 +1131
  38. and la
  39. CD.
  40. beibu
  41. de luat
  42. the FI
  43. rote
  44. Polirion
  45. equalL
  46. Itn = 2
  47. eleutre
  48. urlica ch
  49. et
  50. ietole
  51. l5 egal
  52. epon chae
  53. 1-
  54. te ob uo
  55. taccesl
  56. Term ot

Cite

Philosophical Principles Of Natural Religion, fol. 40. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0480?run=74