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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 8
by Nathan Scholfield - 1845 - 232 pages
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...a right angle. Therefore, the arc AB is _L to the arc CHD. Q. E . p. 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 the...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...of a great circle is perpendicular to the great circle. 352 1106. DEFINITIONS. 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 of the polygon ; their angles are the angles...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
.../.BAC, is measured by arc BC. 745. (Why?) QED SPHERICAL TRIANGLES AND POLYGONS 772. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as ABCD. The sides of the spherical polygon are the bounding arcs; the...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...ZJ5J.C, is measured by arc EG. (Why?) QED SPHERICAL TRIANGLES AND POLYGONS 772, A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as ABCD. The sides of the spherical polygon are the bounding arcs; the...
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The Elements of Solid Geometry

Charles Davison - Geometry, Solid - 1905 - 140 pages
...to the angle BOC and is therefore measured by the arc BC. 99. DBF. 75. A spherical triangle is the portion of the surface of a sphere bounded by three arcs of great circles. The bounding arcs are called the sides of the spherical triangle. The angles of the spherical triangle...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 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 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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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...their planes. (ยง 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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