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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
Elements of Geometry and Trigonometry - Page 227
by Adrien Marie Legendre - 1852 - 432 pages
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...meant, unless expressly stated otherwise. ON SPHERICAL TRIANGLES. 12. Definitions. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the points of intersection...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...angle formed by the planes of the two circles. SPHERICAL POLYGONS. DEFINITIONS 787 A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The sides of a spherical polygon are the bounding arcs ; the vertices...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...the opposite ends of these diameters, are symmetrical spherical triangles. 745. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. Two spherical polygons are equal if they can be made to coincide. The...
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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...meant, unless expressly stated otherwise. ON SPHERICAL TRIANGLES. 12. Definitions. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the points of intersection...
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Spherical Trigonometry: For Colleges and Secondary Schools

Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...meant, unless expressly stated otherwise. ON SPHERICAL TRIANGLES. ^ 12. Definitions. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the points of intersection...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...their planes. (§ 379) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS DEFINITIONS 539. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles ; as ABCD. The bounding arcs are called the sides of the spherical polygon,...
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The Encyclopedia Britannica: A Dictionary of Arts, Sciences ..., Volume 27

Encyclopedias and dictionaries - 1911 - 1096 pages
...required for the purpose ol the investigation of formulae given below. A spherical triangle is the portion of the surface of a sphere bounded by three arcs of great circles of the sphere. If BC, CA, AB denote these arcs, the circular measure of the angles subtended by these...
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The Encyclopaedia Britannica: Ton to Zym

Encyclopedias and dictionaries - 1911 - 1124 pages
...required for the purpose of the investigation of formulae given below. A spherical triangle is the portion of the surface of a sphere bounded by three arcs of great circles of the sphere. If BC, CA, i < •,/• ^& denote these arcs, the circular measure of the °f™'f*f...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...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,...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...of the dihedral angle formed by their planes. 408 SPHERICAL POLYGONS 733. DBF. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The arcs are the sides, their points of intersection are the vertices,...
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