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  1. " ******** Radii *******"
  2. ""
  3. "Here is another example of"
  4. "the strange distance"
  5. "properties of this model of"
  6. "Hyperbolic Geometry."
  7. ""
  8. "The lines BC, BD, BE ... BH ..."
  9. "BK are all congruent.  They"
  10. "All have a length of 2 units."
  11. ""
  12. "Use the ''Measure Distance"
  13. "Between Points'' dialog"
  14. "(from the ''Measurements''"
  15. "menu) to measure the "
  16. "length of BC, BG, and BI."
  17. ""
  18. "Now use the ''Draw Circle''"
  19. "dialog (from the "
  20. "Constructions menu) to"
  21. "select points B and C in that"
  22. "order. NonEuclid will draw a "
  23. "Hyperbolic Geometry circle "
  24. "with center at B that passes"
  25. "through C.  Notice that this"
  26. "circle also passes through"
  27. "points D, E, F ... K.  This is"
  28. "because a circle is the set"
  29. "of all points equal distant"
  30. "from the center."
  31. ""
  32. "Now use the ''Draw Line"
  33. "Segment'' dialog to draw"
  34. "a line from F to G.  Triangle"
  35. "BFG is Isosceles (since"
  36. "BF = BG).  Use the ''Measure"
  37. "Triangle'' dialog to measure"
  38. "the three sides and three "
  39. "angles of the triangle."
  40. "Are the base angles equal?"
  41. ""
  42. "Now draw line segment"
  43. "GH.  Notice that the length "
  44. "of GH is the same as the "
  45. "length of GF.  "
  46. ""
  47. "Use the ''Measure Angle''"
  48. "dialog to measure the "
  49. "angles: FBG, GBH, HBI, and"
  50. "LBK."
  51. ""
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