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Philosophical Principles Of Natural Religion, fol. 56

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: 0.78.

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

The machine reads it as

  1. (
  2. al
  3. inciples
  4. 16, 8c. is equal c0 the A.
  5. rea OF che Curve vitiole Lquation 15 y X = 1
  6. 2nd 1- F 3 + 9. F 27-] 29, 8c. Cqual 10
  7. the drea Ot che Curve wrhole Fquation I5 Y X
  8. == 1, 2nd 25 the crea oE chis lalt, is greater
  9. chon chac oEche Clt, (o are che. paxts respe.
  10. ctively; buc che tirs reduc d eo equal ParEs,
  11. 15 2 7. 2 7 2 ] 2 + 2,esc. Wrhereas chele-
  12. cond is buc Z 1. 2 f. 2. + 2, ec. Which
  13. 2
  14. paris are lels chan cheformer; Wrhereasctie
  15. lecond srea is grearer chanthe Crst; buc che
  16. realon ot chis diversiey is, becaule ehe se-
  17. cond srea orrives Cooner ac ∞ 1, cham che
  18. sirIE. And che Denomination ot che infi. sC
  19. nicely (mall equal pare, is talen trom its ar-
  20. ririns ac eo 1 Wichout consideration ol che
  21. Ouicknels or Slomnels chereot, (o thac che
  22. unequa lpares, which diverselastest, haveche
  23. Leas infinicelr EmaIl equt parts, cho in che
  24. mean cime, chey make che greacea Area;
  25. arhen an equal intrire umber ot Pares are
  26. catien, as chey Chould do. IEic vvere possible
  27. eo tindt che infinirely (mall equali parrs, ot che
  28. yperbolvidicat Spaces, tromche Numiber ot
  29. est
  30. LCxS
  31. WV∞A
  32. et
  33. n
  34. Ou
  35. MII
  36. EO dPE
  37. et
  38. SpacC
  39. 1
  40. c
  41. lations
  42. SpACC
  43. chem.
  44. OnS, O
  45. Onc ane
  46. chele er
  47. sciss et
  48. che
  49. Wvhich
  50. il
  51. nencu su
  52. at

Cite

Philosophical Principles Of Natural Religion, fol. 56. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0496?run=74