 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...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, the spherical angle formed by the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...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. P SOLID GEOMETRY Given DPE, the spherical angle... | |
 | Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...the spherical angle. 358. Theorem IV. The spherical angle between two great circles is measured by the arc of a great circle described from its vertex as a pole and included between its sides. FIG. 255 Given the great circles PAP' and PBP' intersecting at P; also... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...two arcs of great circles is equal to the angle between the planes of the circles, and is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). 11. The shortest line that can be drawn on... | |
 | College Entrance Examination Board - Universities and colleges - 1927 - 216 pages
...perpendicular to the given plane. *2. Prove that an angle formed by arcs of two great circles is measured by the arc of a great circle described from its vertex as a pole and included between its sides, produced if necessary. *3. Find the area of a spherical triangle in... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...circle and only one can be drawn. [66] An angle formed by arcs of two great circles is measured by the arc of a great circle described from its vertex as a pole and included between its sides, produced if necessary. [73*] If two sides of a spherical triangle are... | |
 | Pauline Sperry - Spherical trigonometry - 1928 - 88 pages
...perpendicular if they form a right spherical angle. Theorem. The measure of a spherical angle is equal to the arc of a great circle described from its vertex as a pole and included between its sides produced if necessary. EXERCISES 1. Prove that through a given point... | |
 | Harvard University - Education - 1876 - 324 pages
...6. 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 its vertex as a pole and included between its sides (produced if necessary). 7. In two polar triangles, each angle of one... | |
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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. 
