Transcription of Spherical Trigonometry - UCLA Mathematics
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Spherical Trigonometry - UCLA Mathematics
Spherical TrigonometryRob JohnsonWest Hills Institute of Mathematics1 IntroductionThe sides of a Spherical triangle are arcs of great circles. Agreat circle is the intersection of a sphere witha central plane, a plane through the center of that sphere. The angles of a Spherical triangle are measuredin the plane tangent to the sphere at the intersection of the sides forming the avoid conflict with the antipodal triangle, the triangle formed by the same great circles on the oppositeside of the sphere, the sides of a Spherical triangle will be restricted between 0 and radians. The angleswill also be restricted between 0 and radians, so that they remain derive the basic formulas pertaining to a Spherical triangle, we use plane Trigonometry on planes relatedto the Spherical triangle.
Spherical Trigonometry Rob Johnson West Hills Institute of Mathematics 1 Introduction The sides of a spherical triangle are arcs of great circles. A great circle is the intersection of a sphere with a central plane, a plane through the center of that sphere. The angles of a …
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