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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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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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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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