 | 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. Or the measure... | |
 | Samuel Webber - Mathematics - 1808 - 520 pages
...to the circumference, and the intercepted arc AB is the measure of the angle required. A * A spheric 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. Or the measure... | |
 | 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... | |
 | 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 angle... | |
 | 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... | |
 | Edward Olney - 1872 - 270 pages
...spherical angle PAB, which is equal to the measure of the diedral, is also right. 500. 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 vertex. 36I, COR. 3.—The angle included... | |
 | Edward Olney - Geometry - 1876 - 354 pages
...right. 560. COR. 2.—A spherical angle is measured by the arc of a great circle intercepted FI° 8 , 3 between its sides, and at a quadrant's distance from...being quadrants. For, since PC is a quadrant, CO is perpendicular to PO, the edge of the diedral C-PO-A, and for a like reason AO is perpendicular to PO.... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...sphere with the same facilitj that a circle can be drawn on a plane surface. PROPOSITION II. THEOREM. A spherical angle is measured by the arc of a great circle described from the vertex as a pole, and limited by the sides of the angle. Let FAG be a spherical... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...sphmcal polygon respectively measure the dihedral angles of the corresponding spherical pyramid. (?) 2. A spherical angle is measured by the arc of a great circle described about its vertex as a pole, and intercepted by its sides produced, if necessary. For, if... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...; §710 .'. spherical Z. BP С is equal to the measure of dihedral Z. C-PP'-B. QED 714. COROLLARY. A spherical angle is measured by the arc. of a great circle described about its vertex as a pole and intercepted by its sides (produced if necessary). For, if... | |
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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. 
