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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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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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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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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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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 Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...is measured by arc AB. QED 336 SPHERICAL POLYGONS SPHERICAL POLYGONS 710. 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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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 pages
...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 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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The Elements of Plane and Spherical Trigonometry

Thomas Ulvan Taylor, Charles Puryear - Trigonometry - 1902 - 242 pages
...N. 42° W. S. 18° E. 20 18 20 18 SPHERICAL TRIGONOMETRY CHAPTER X 82. The Spherical Triangle. The portion of the surface of a sphere bounded by three arcs of great circles is called a spherical triangle. The bounding arcs are called the sides of the triangle, and the interior...
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1902 - 186 pages
...of the rod. A FIG. 00. 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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