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Philosophical Principles Of Natural Religion, fol. 41

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: 0.70.

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

The machine reads it as

  1. Moniar
  2. SpACC
  3. cOmes
  4. DEL
  5. + f 8
  6. de
  7. BOIsD
  8. l10.
  9. 51P
  10. ic DC
  11. finite-
  12. 1
  13. Arti.
  14. ex otocn
  15. Ouldpo 21
  16. bolick
  17. FF
  18. 1091
  19. = 1a I3IM
  20. +1
  21. D
  22. Satural Peligion.
  23. +
  24. 8 Cac. Whole hrsc Term is
  25. and last 0, and the Ratio ot the Perms knc
  26. 10 7, Ox 2 10 1, cheretore by che precedine
  27. arcicle, che sum oF che Terms is
  28. L = 20
  29. 50 chac che whole ssimptoricat Space oF
  30. che Fyperbola Wrhole L. quation I5 y X = 1.
  31. Wrould bc ∞ 2 4. 2 = ∞ 2, upon sup.
  32. polirion chac che grearest Term oE its un
  33. equal Prooression ivere only Intinice or c
  34. IFn = 3 and X = 1. then the Area ATF D 61O
  35. 13 = + 3 + 9 F27,85c. = (by chein 5
  36. precedinq Section) 2 + 2 + 2
  37. 2
  38. esc.
  39. Wrhen che last Ferm is ouly ∞o 1. aHd iF
  40. s
  41. n = 3, and 1 = 1, che Area AB P F LP 3BNI
  42. 3-eF Y in f =
  43. ea
  44. 2y ec. and che
  45. irtiole ssymptorick Space oF chis FSyperboloid,
  46. 15 Cqual EO ∞ 2 2 1 2
  47. 2
  48. f. 2 + 3
  49. 2
  50. 23185C.
  51. s
  52. 3c
  53. upon chac suppolicion. Anduniverlaily, eg
  54. AV
  55. iCX = 1, chen che SpaCC AIFDC =
  56. 1 + n -) n Y n + nt, esc. Whole intru.
  57. nicely. Imalb equal pare (suppolins che laH
  58. Perm oE cheSeries omly ∞ 1.) by che pre-
  59. cedinq

Cite

Philosophical Principles Of Natural Religion, fol. 41. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0481?run=74