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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: With, Practical Applications - Page 232
by George Roberts Perkins - 1850 - 320 pages
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 344 pages
...Hence this intersection is MM, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 688. A Spherical Triangle is a portion of the surface of a sphere bounded by three arcs of great circles. In the present treatise these arcs will be considered as each less than a semicircumference; and the...
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Elementary Geometry: Including Plane, Solid and Spherical Geometry : with ...

Edward Olney - Geometry - 1886 - 348 pages
...Hence this intersection is MM, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 688. A Spherical Triangle is a portion of the surface of a sphere bounded hy three arcs of great circles. In the present treatise these arcs will be considered as each less...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...arc BB' (§ 200). SPHE1UCAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 649. 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 polygon. The...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...perpendicular to its plane (VI., Proposition XIV.). SPHEEICAL POLYGONS. 43, Definition. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre...
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Elements of Plane and Spherical Trigonometry

Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...TRIGONOMETRY. INTRODUCTION. 85. SPHERICAL TRIGONOMETRY treats of the solution of spherical triangles. A spherical triangle is a portion of the surface of a sphere bounded by three arcs of great circles of the sphere. NOTE. — Before undertaking the study of spherical trigonometry the student should...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...two curves are arcs of great circles the angle is called a spherical angle. 693. 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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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...perpendicular to its plane (VI., Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...through P and cutting ABC in B ; then arc PB is _L to arc ABC (618). 620. DEFINITION. 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 formed by...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...same as the measure of the dihedral angle formed by the planes of its sides. 561. A Spherical Polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles; as ABCD, or EFG. The diagonal of a spherical polygon is the arc of a...
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Chandler's Encyclopedia: An Epitome of Universal Knowledge ...

William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...spherical polygon and the planes of the circles whose arcs are sides of the polygon. Spherical Triangle. Portion of the surface of a sphere bounded by three arcs of great circles. The ordinary spherical triangle restricts the arcs to less than 180°: the general triangle is unrestricted....
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