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Philosophical Principles Of Natural Religion, fol. 42

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. 425
  2. bdolontica Prineu
  3. cedins Section, 18 n r and consequenels
  4. chis Series is equal eo ex , 1 = )
  5. M
  6. F n -, =,, ec and iF y = 1, chien ehe
  7. Space ADFFH = 1 + =
  8. BI
  9. e
  10. 700
  11. La s oln
  12. exc. the Sum ot wrhich is Pocharicho
  13. Whole Space, comprehended berireen chele
  14. Curoes, in infinitum; aud boch asymptotes, ot
  15. Such excerior Fsyperboloids, (pureino AB
  16. AT = 1.) is equal t0 1 1
  17. dC
  18. n- , Y n F nd
  19. 1. nt, esc. = n-c upon luch a Suppoli.
  20. rion. Hlence ic appeais in some part, Wha
  21. chose Ceometers meane by che Area soe chele
  22. Fperbolords, vrhich in cheir Language vere
  23. calIdplusquam infinitae, or more chaninfinite,
  24. wrtrich mighie be, chac lome oFthele Llyper-
  25. bolick Spaces, had the equal parrs of orhich
  26. chey consisted, in cerrain RatOs 1O OBC 2
  27. nocher, wrhen che last Term ol che Series
  28. Wasopty c; chusche Area ot che Appollonian
  29. Fyperbola, contilts ot an infinite Number
  30. e
  31. Ol Unicies, the Area oF che Lsyperbola, votrole
  32. Equalion, is yX =1, oF an infinite Num
  33. 3e avibex
  34. d det
  35. Wliole L
  36. sumble
  37. ver ot ec
  38. Curve CO
  39. etre infonit
  40. che torm
  41. erhole A
  42. Wvhole S
  43. whole in
  44. Body kn
  45. lelS, che
  46. alcerWare
  47. AqP iC D
  48. a Fperbe
  49. ABCH
  50. ouly c
  51. Fsperbola
  52. Sompiote
  53. Beu
  54. multiple Y
  55. net
  56. u truI
  57. ole
  58. 2a L23
  59. quation b
  60. Auda
  61. tyrla
  62. 16

Cite

Philosophical Principles Of Natural Religion, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0482?run=74