 A spherical angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary.  Solid Geometry - Page 440by George C. Shutts - 1913Full view - About this book
 | Mathematics - 1801 - 658 pages
...necessary, to the circumference, and the intercepted arc AB is the measure of the angle required. 2. When * A spherical angle is measured by the arc of a great circle, intercepted between the two sides, that form the angle, at the distance of 90° from the angular point.... | |
 | John West, Sir John Leslie - Analytic functions - 1838 - 664 pages
...point of concourse, and is therefore the same as the inclination of the planes of these sides. 230. A spherical angle is measured by the arc of a great circle, whose pole is the angular point, intercepted between the sides of the angle. 231. Two great circles... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...circles, is equal to the angle formed by the tangents of these arcs at their point of intersection. The angle is measured by the arc of a great circle described from the vertex as a pole, and limited by the sides, produced if necessary. 231 For, the tangent AF, drawn in the plane... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...c1rcles, is equal to the angle formed by the tangents of these arcs at their point of intersection. The angle is measured by the arc of a great circle described from the vertex as a pole, and l1mited by the sides, produced if necessary. Let the angle BAC be formed by the two... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...circles, is equal to the angle formed by the tangents of these arcs at their point of intersection. The angle is measured by the arc of a great circle described from the vertex as a pole, and limited by the sides, produced if necessary. Let the angle BAC be formed by the two... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...circles, is equal to that formed by the tangents to these arcs at their point of intersection, and is measured by the arc of a great circle described from the vertex as a pole, and limited by the sides, produced if necessary. Let the angle BAC be formed by the two... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...spherical angle PAB, which is equal to the measure of the diedral, is also right. 560. COR. 2. — A spherical angle is measured by the arc of a great circle intercepted FIG. 323. between its sides, and at a quadrant's distance from its ver lex. Thus, the spherical... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...spherical angle PAB, which is equal to the measure of the diedral, is also right. 5ffO. COR. 2. — A spherical angle is measured by the arc of a great circle, interceptetl between its sides, and at a quadrant's distance from itts vertex. Thus, the spherical... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...circles, is equal to that formed by the tangents to these arcs at their point of intersection, and is measured by the arc of a great circle described from the vertex as a pole, and limited by the sides, produced if necessary. Let the angle BAC be formed by the two... | |
 | Cornell University - 1875 - 1012 pages
...of the other. 3. The angle of two arcs of great circles is equal to the angle of their planes, and is measured by the arc of a great circle described from the vertex as a pole and included between its sides (produced if necessary). 4. The diameter of a sphere is 20... | |
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