Spherical geometry

Spherical geometry(It comes, whether ゅ bear to go back and forth, く) geometry, non-euclidean geometry. The Arabic astronomical scholarBatter kneeAstronomical observation was done making use of this.

Definition of terminology

  • spherical surfacePointWith it does.
  • SphereGreat circleStraight lineWith it does.
    If as for the straight line which passes by 2 points the 2 points there is no symmetrical position vis-a-vis the center of sphere it becomes settled uniquely.
  • The angle where two great circles mix 2 straight linesAngleWith it does.

Character of spherical geometry

  • All straight lines mix in 2 points.
  • triangle becomes always to be larger than 180 degrees smaller than 540 degrees.

Related item

  • elliptic geometry
  • Riemannian geometry
  • differential geometry

 

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