Spherical trigonometry (Oblique Triangle) Spherical trigonometry DOCX

Title	Spherical trigonometry (Oblique Triangle) Spherical trigonometry
Pages	10
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File Type	DOCX
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Spherical trigonometry (Oblique Triangle) Spherical trigonometry It deals with the triangles on the spherical triangles and other figures which lies on the sphere and the sides of which are not straight lines but circular arcs. It is the relations connecting the sides and angles of a spherical triangle. This is often applied in determining the position of countries, cities, rivers, etc. mostly in astronomy and navigation. Spherical triangle It is the figure on the surface of the sphere bounded by three arcs of great circles. a triangle on the surface of a sphere formed by the intersection of three great circles. It is a figure representing the position of three points on the surface of a sphere in terms of directions, representing location or in navigation. The lengths of the sides of a spherical triangle are measured in degrees, minutes, and seconds, as the angular lengths of the arcs forming them. The sum of the three sides is always less than 360°. The sum of the three angles is always more than 180° and less than540°. Spherical Angle It is an angle on the surface of the sphere formed by two intersections of the great circles. Great Circle -is a circle on the surface of a sphere, whose plane passes through the center of the sphere. It contains the canter of the sphere. A great circle divides the sphere into two identical parts, called hemisphere. (Equator is an example of a great circle)....