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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... "
The Elements of Geometry - Page 322
by Webster Wells - 1894 - 378 pages
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...great circles of a sphere. The arcs are the sides of the angle and their intersection the vertex. 640. A portion of the surface of a sphere bounded by three or more arcs of great circles is called a spherical polygon. The sides of the spherical polygon are the bounding arcs; the angles...
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Chandler's Encyclopedia: An Epitome of Universal Knowledge ...

William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...intersection, and measures the dihedral angle formed by the planes of the two great circles. Spherical Polygon. Portion of the surface of a sphere bounded by three or more arcs of great circles. Spherical Pyramid. Solid bounded by a spherical polygon and the planes of the circles whose arcs are...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...diedral angle between their planes. (§ 429) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 587, A spherical polygon is a portion of the surface of...arcs are called the sides of the spherical polygon, and are usually measured in degrees. The angles of the spherical polygon are the spherical angles (§...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...diedral angle between their planes. (§429) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 587. A spherical polygon is a portion of the surface of...arcs are called the sides of the spherical polygon, and are usually measured in degrees. The angles of the spherical polygon are the spherical angles (§...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...circle (§ 779), the Z 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...sphere bounded by three or more arcs of great circles. T he bounding arcs are the sides of the polygon; the angles between the sides are the angles of the...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...circle (§ 779), the Z. ABE is a right angle. Therefore, the arc AB is _L to the arc CHD. QEF 782. DBF. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the angles between the sides are the angles of the...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...circle (§ 779), the Z ABE is a right angle. Therefore, the arc AB is -L to the arc CHD. QEF 782. DBF. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of preat circles. The bounding arcs are the sides of the poiygon ; the angles between the sides are the...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...intersection. 682. The angle between two intersecting arcs of great circles is called a Spherical Angle. 683. A portion of the surface 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 angles which they...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...intersection. 682. The angle between two intersecting arcs of great circles is called a Spherical Angle. 683. A portion of the surface of a sphere bounded by three or more arcs of greaI circles is called a Spherical Polygon. The bounding arcs arc the sides of the polygon ; the angles...
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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 pages
...But Z AOB is measured by arc AB. Hence Z DPE is measured by arc AB. QED SPHERICAL POLYGONS 710. DBF. A spherical polygon is a portion of the surface of...sphere 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...
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