 | Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...degrees of arc, the former may be called angular degrees; and the latter arcual degrees.] c. Proposition. A spherical angle is measured by the arc of a great circle described with its vertex as a pole and included between its boundary arcs, produced if necessary :... | |
 | United States. Office of Education - 1911 - 1154 pages
...area of a prism and of a regular pyramid. State the corresponding theorems for cylinders and cones. 3. A spherical angle is measured by the arc of a great circle described with Its vertex as a pole and included between its sides, produced if necessary. 4. Given... | |
 | Education - 1911 - 1030 pages
...area of a prism and of a regular pyramid. State the corresponding theorems for cylinders and cones. 3. A spherical angle is measured by the arc of a great circle described with its vertex as a i>ole and included between its sides, produced if necessary. 4. Given... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...two intersecting great circles of a sphere is called a spherical angle. PROPOSITION VI. THEOREM. 751. A spherical angle is measured by the arc of a great circle described from the vertex as a pole and included betiveen its sides, or its sides produced. Given the... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...angle formed by two intersecting arcs of great circles of a sphere.* DC PROPOSITION V. THEOREM 918. -A spherical angle is measured by the arc of a great circle having the vertex of the angle as a pole and intercepted .by the sides of the angle, prolonged if necessary.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...A spherical angle is the angle between two intersecting great circles. PROPOSITION IX. THEOREM 730. 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. Given DPE,... | |
 | George C. Shutts - 1913 - 212 pages
...demonstration on the outline of the demonstration § 723. Therefore— PROPOSITION XVIII. 725. THEOREM. A spherical angle is measured by the arc of a great circle described from the vertex of the angle as a pole and intercepted between the sides of the angle. Given... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...planes which bisect the six dihedral angles of a tetrahedron intersect in the same point. X THEOREM 24 A spherical angle is measured by the arc of a great circle included between its sides (produced if necessary), whose pole is the vertex of the angle. Draw the... | |
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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. 
