 | Yale University - 1898 - 212 pages
...of two arcs of great circles on a sphere 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). 5. Find the volume of the earth's atmosphere,... | |
 | Harvard University - Geometry - 1899 - 39 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). Corollary. All arcs of great circles drawn... | |
 | William James Milne - Geometry - 1899 - 398 pages
...with the dihedral angle formed by the planes of its sides? Theorem. A spherical angle is measured by the arc of a great circle described from its vertex as a pole and included by its sides, produced if necessary. Data: Any spherical angle, as APB, and the arc of... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...angles between chord A'B' and arc A B'. PROPOSITION VIII. THEOREM 708. 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. Hyp. DPE is the spherical angle formed by the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...the inscribed sphere. SOLID GEOMETRY PROPOSITION VIII. THEOREM 708. 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. Hyp. DPE is the spherical angle formed by the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...the radius of the inscribed sphere. PROPOSITION VIII. THEOREM 708. 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. Sjf DPE is the spherical angle formed by the... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...intersection of two great circle arcs is a spherical angle. SOLID GEOMETRY PROPOSITION IX. THEOREM 1102. The measure of a spherical angle is the arc of a great circle described with the vertex of the spherieal angle as a pole and included between its sides. Let the great circle... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...the intersection of two great circle arcs is a spherical angle. PROPOSITION IX. THEOREM 1102. T1ie measure of a spherical angle is the arc of a great circle described with the vertex of the spherical angle as a pole and included between its sides Let the great circle... | |
 | Education - 1904 - 738 pages
...circle, every section parallel to the base is a circle. 6 Prove that a spheric 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. NOTE — Use w Instead of Its approximate value... | |
 | Education - 1911 - 946 pages
...inscribed in or circumscribed about any given tetrahedron. [H5.] p. 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). [K5.] V. Spherical Triangles and Polygons.... | |
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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. 
