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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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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...through P and cutting ABC in B ; then arc PB is _L to arc ABC (618). 620. DEFINITION. 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 angles formed by...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...same as the measure of the dihedral angle formed by the planes of its sides. 561. A Spherical Polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles; as ABCD, or EFG. The diagonal of a spherical polygon is the arc of a...
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Chandler's Encyclopedia: An Epitome of Universal Knowledge ...

William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...spherical polygon and the planes of the circles whose arcs are sides of the polygon. Spherical Triangle. Portion of the surface of a sphere bounded by three arcs of great circles. The ordinary spherical triangle restricts the arcs to less than 180°: the general triangle is unrestricted....
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...between two intersecting arcs of great circles on the surface of a sphere. 491. 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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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...their planes. (§429) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 587. 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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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...ABE is a right angle. Therefore, the arc AB is _L to the arc CHD. QEF 782. DEF. 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 angles between...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...their planes. (§ 429) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 587, 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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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...ABE is a right angle. Therefore, the arc AB is _L to the arc CHD. Q EF 782. DEF. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. T he bounding arcs are the sides of the polygon; the angles between...
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...the rod. A. FIG. 60. PART II SPHERICAL TRIGONOMETRY CHAPTER VII RIGHT AND QUADRANTAL TRIANGLES 52. A spherical triangle is a portion of the surface of a sphere bounded by the arcs of three great circles which intersect. Spherical Trigonometry is concerned with the relations...
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Plane and Spherical Trigonometry

Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 246 pages
...measured on the arc of a great circle, less than 180°, which joins them. A spherical triangle is any portion of the surface of a sphere bounded by three arcs of great circles. We shall consider only triangles whose sides are arcs not greater than 180° in length. The polar triangle...
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