 | Benjamin Greenleaf - Geometry - 1866 - 328 pages
...SPHERICAL ANGLE is the difference in the direction of two arcs of great circles of the sphere ; as AED, formed by the arcs EA, D E. It is the same as the...as the angle formed on the edge EF, by the planes EAP, EDP. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...the surface of a sphere which are bounded by the arcs of its great circles. 2. A Spherical Polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, called the aides of the potygon. 3. The Angles of a spherical polygon... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...perpendicular B'C' can be described. SPHERICAL POLYGONS AND PYRAMIDS. 60. Definition. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as ABCD. Since the planes of all great circles pass through the centre... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...Hence this intersection is MN, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 568. 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 semicircumfer. ence. The... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...Hence this intersection is MN, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 568. 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. The terms... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...between the planes of its sides. Spherical angles may be acute, right, or obtuse. 2. 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 called sides of the polygon, and the points in... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...perpendicular B'C' can be described. SPHERICAL POLYGONS AND PYRAMIDS. 60. Definition. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as ABCD. Since the planes of all great circles pass through the centre... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...between the planes of its sides. Spherical angles may be acute, right, or obtuse. 2. 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 called sides of the polygon, and the points in... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...TRIGONOMETRY. DEFINITIONS. 146. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three planes in which the arcs... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...2. A spherical angle is the angle of two arcs of great circles of a sphere. 3. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. 5. A diagonal of a spherical polygon is an arc of a great circle dividing... | |
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A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as AE D. 
