 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(247). That is, arc PAE is -L to circumference BEDC. QED SPHERICAL TRIANGLES 740. A spherical triangle is a portion of the surface of a sphere bounded by three arcs of great circles. The bounding arcs are the sides of the triangle. The intersections of the sides... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...diedral angle between their planes. (§ 379) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS DEFINITIONS 539. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles ; as ABCD. The bounding arcs are called the sides of the spherical polygon, and are usually measured... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...measure as the dihedral angle formed by the planes of the two circles. SPHERICAL POLYGONS. 753. DEF. A spherical polygon is a portion of the surface of a sphere bounded by three or more great circles. The bounding arcs are called the sides, their points of intersection, the vertices,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...equal to the plane angle of the dihedral angle formed by their planes. SPHERICAL POLYGONS 733. DBF. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The arcs are the sides, their points of intersection are the vertices, and the spherical angles formed... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 272 pages
...the difference between the sum of its angles and 180 spherical degrees. A Spherical Polygon is the portion of the surface of a sphere bounded by three or more arcs of great circles. A Spherical Pyramid is the portion of a sphere bounded by a spherical polygon and the planes of its... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...spheres in Ex. 17 and note how it compares with the area of the largest sphere. SPHERICAL POLYGONS 738. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. Spherical polygons are classified as triangles, quadrilaterals, etc., according as they have three,... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...perpendicular to the other. SPHERICAL POLYGONS AND POLYHEDRAL ANGLES 800. A spherical polygon is a figure on the surface of a sphere bounded by three or more arcs of great circles. The arcs are called the sides, and the spherical angles formed by the sides, the angles of the spherical... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...are total and others annular. SPHERICAL TRIANGLES AND POLYGONS 675. A spherical polygon is a portion of a sphere bounded by three or more arcs of great circles, as ABCD. The sides of the spherical polygon are the arcs which bound it ; the vertices are the points... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...semicircles, the two spherical angles thus formed are equal. (Ie Z c — Z P.) SPHERICAL POLYGONS 733. DBF. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The arcs are the sides, their points of intersection are the vertices, and the spherical angles formed... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
....'.spherical ZAPB = °AB. §111 SPHERICAL POLYGONS AND POLYEDRAL ANGLES 830. Spherical Polygons. A portion of a sphere bounded by three or more arcs of great circles is called a spherical polygon. The bounding arcs are the sides of the polygon, the spherical angles... | |
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A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The... 
