Plane and solid geometry . The bounding arcs are called the sides of the polygon, thepoints of intersection of the arcs are the vertices of the poly-gon, and the spherical angles formed by the sides are theangles of the polygon. 430 SOLID GEOMETRY 937. Def. A diagonal of a spherical polygon is an arc of a great circle joining any two non-adjacent vertices. 938. Def. A spherical triangle is a spherical polygon havingthree sides. Ex. 1510. By comparison with the definitions of the correspondingterms in plane geometry, frame exact definitions of the following classesof spherical triangles : scale
Plane and solid geometry . The bounding arcs are called the sides of the polygon, thepoints of intersection of the arcs are the vertices of the poly-gon, and the spherical angles formed by the sides are theangles of the polygon. 430 SOLID GEOMETRY 937. Def. A diagonal of a spherical polygon is an arc of a great circle joining any two non-adjacent vertices. 938. Def. A spherical triangle is a spherical polygon havingthree sides. Ex. 1510. By comparison with the definitions of the correspondingterms in plane geometry, frame exact definitions of the following classesof spherical triangles : scalene, isosceles, equilateral, acute, right, obtuse,and equiangular. Ex. 1511. TVith a given arc as one side, construct an equilateralspherical triangle. Hint. Compare the cons., step by step, with § 124. Ex. 1512. With three given arcs as sides, construct a scalene spheri-cal trians^le. 939. Since each side of a spherical polygon is an arc of agreat circle (§ 936), the planes of these arcs meet at the centerof the sphere a
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