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" The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the... "
Descriptive Geometry - Page 122
by Lawrence Edminster Cutter - 1923 - 244 pages
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...plane triangle. DEF. 3. The planes of a great circle pass through the centre of the sphere : hence the planes of the sides of a spherical polygon form a polyhedral at the centre of the sphere. The portion of the sphere enclosed is called a spherical pyramid; as,...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...spherical polygon is an arc of a great circle joining any two vertices which are not consecutive. 253. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the centre of the sphere, and whose face angles are measured by the sides of the polygon....
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...polygon. As the sides of a spherical polygon are arcs of great circles they are expressed in degrees. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is at the center of the sphere. Thus, OA B CD is a polyhedral angle whose vertex is at...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...values of the sides of a spherical polygon are usually expressed in degrees, minutes, and seconds. 783. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the centre of the sphere, whose face angles are measured by the sides of the polygon,...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...of a great circle joining any two non-adjacent vertices of a spherical polygon is a diagonal. 684. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the center of the sphere, and whose face angles are measured by the sides of the polygon....
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...values of the sides of a spherical polygon are usually expressed in degrees, minutes, and seconds. 783. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the centre of the sphere, whose face angles are measured by the sides of the polygon,...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...values of the sides of a spherical polygon are usually expressed in degrees, minutes, and seconds. 783. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the centre of the sphere, whose face angles are measured by the sides of the polygon,...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...vertices of the polygon. The arc of a great circle joining any two non-adjacent vertices is a diagonal of the polygon. The planes of the sides of a spherical polygon form a polyhedral angle at the center of the sphere. As the sides of the spherical polygon are the measures of the face angles...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...more arcs of great circles. The arcs are the sides of the polygon ; their angles are the angles of the polygon ; and their points of intersection are the vertices of the polygon. The arc of a great circle joining any two non-adjacent vertices is a diagonal of the polygon. The planes...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...values of the sides of a spherical polygon are usually expressed in degrees, minutes, and seconds. 783. The planes of the sides of a spherical polygon form a polyhedral angle whose vertex is the centre of the sphere, whose face angles are measured by the sides of the polygon,...
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