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SPHERICAL TRIGONOMETRY

SPHERICALTRIGONOMETRY THERE IS NO ROYAL ROAD TOGEOMETRY EUCLIDBYKELLY LYNCHS aint Mary s College of CaliforniaMoraga2016 AbstractThe purpose of this paper is to derive various trigonometric formulas for spher-ical triangles. The subject of SPHERICAL TRIGONOMETRY has many navigational and astro-nomical has been developing and evolving for many centuries. Its uses arevast and continue to affect our every day lives. The study of the sphere in particular hasits own unique story, and has two major turning points. This study first began with thepush of astronomy and was developed in depth by the Greeks.

Spherical Coordinates is a coordinate system in three dimentions. The coordinate values stated below require rto be the length of the radius to the point Pon the sphere. The value ’the angle between the z-axis, and the vector from the origin to point P, and the angle between the x-axis, and the same vector as in the figure 0.0.12.

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