 | 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.... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...-j- b -fc < 360ri. 441. Theorem. The angle formed by two arcs of great circles is measured by the arc described from its vertex as a pole, and included between its sides. Demonstration. The arc AM (fig. 177) measures the angle ACM, which, by art. 314, measures the angle... | |
 | 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... | |
 | Benjamin Peirce - Geometry - 1847 - 204 pages
...+ b -fc < 360°. 441. Theorem. The angle formed by two arcs of great circles is measured by the arc described from its vertex as a pole, and included between its sides. Proof. The arc AM (fig. 177) measures the angle •ACM, which, by 5) 315, measures the angle of the... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...is equal to the angle formed by the tangents of those arcs at the point of their intersection ; and is measured by the arc of a great circle described...vertex as a pole, and included between its sides. gents of these arcs at the point A, and it is measured by the arc DB described from the vertex A as... | |
 | 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... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...is equal to the angle formed by the tangents of those arcs at the point of their intersection ; and is measured by the arc of a great circle described...from its vertex as a pole, and included between its fides. Let BAD be an angle formed by two arcs of great circles; then will it be equal to the angle... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...is equal to the angle formed by the tangents of those arcs at the point of their intersection ; and is measured by the arc of a great circle described...vertex as a pole, and included between its sides. Let BAD be an angle formed by two arcs of great circles; then will it be equal to the angle EAF formed... | |
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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). Let AB, AC be arcs of great circles intersecting at A; AB... 
