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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 from the Works of A.M. Legendre ... - Page 227
by Charles Davies - 1854 - 432 pages
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Solid Geometry

John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...note how it compares with the area of the largest sphere. SPHERICAL POLYGONS 738. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. Spherical polygons are classified as triangles, quadrilaterals, etc.,...
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Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 348 pages
...called the poles of the circle. 109. Spherical triangle. — A spherical triangle is the figure on the surface of a sphere bounded by three arcs of great circles. The three arcs are the sides of the triangle, and the angles formed by the arcs at the points where...
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Text-book on Navigation and Nautical Astronomy

James Gill - Nautical astronomy - 1918 - 468 pages
...P, and horizontal distance of P from tower. CHAPTER V. SOLUTION OF SPHERICAL TRIANGLES. ART. 17. — A spherical triangle is a portion of the surface of a sphere bounded by arcs of three great circles, and, like a plane triangle, has three sides and three angles. The sides,...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...spherical angles thus formed are equal. (Ie Z c — Z P.) 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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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...circle is perpendicular to the given great circle. SPHERICAL POLYGONS AND PYRAMIDS A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles; as A BCD. The bounding arcs are called the sides of the polygon, the...
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Plane and Spherical Trigonometry: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...The angle of a lune is the angle formed by the semi-circumferences. 7. A spherical triangle is a part of the surface of a sphere bounded by three arcs of great circles. A trihedral angle, with vertex at the center of the sphere, is formed by the planes of the 148 great...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...angle of the dihedral angle formed by their planes. 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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Descriptive Geometry

Lawrence Edminster Cutter - Geometry, Descriptive - 1923 - 266 pages
...sphere is the section made by a plane which passes through the center of the sphere. 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 spherical polygon, and their...
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From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept

Giora Hon, Bernard R. Goldstein - Science - 2008 - 337 pages
..."Triangle spherique est une partie de la surface de la sphere comprise par trois arcs de grands cercles." (A spherical triangle is a portion of the surface of a sphere enclosed by three arcs of great circles.) 73 Legendre [1794] 1817, 214-215: "L'egalite de ces triangles...
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