| Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...circles RPS and MPN on the sphere O. THEOREM IV 667. The angle 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. Given : The spherical Z APB formed by great circles PCQ and PMQ, and... | |
| Geometry, Plane - 1911 - 192 pages
...of the base by half the slant height. 8. The angle between two arcs of great circles is measured by the arc of a great circle described from its vertex as a pole and included between its sides. What portion of the earth's surface, assumed to be spherical, lies... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 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... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...intersection, as the angle CPD, Fig. 240. 358. Theorem IV. The 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. 240 Given the great circles PAP and PBP' intersecting at P, and... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...intersection, as the angle CPD, Fig. 240. 358. Theorem IV. The angle betiveen 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. 240 Given the great circles PAP 1 and PBP' intersecting at P,... | |
| William Betz - Geometry - 1916 - 536 pages
...planes of its sides. SPHERICAL ANGLE PROPOSITION XL THEOREM 798. A spherical angle is measured l>y the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary. Given the Spherical angle APB formed by the... | |
| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...the planes of the sides. It follows that PROPOSITION XL THEOREM 798. 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 the spherical angle APB formed by the... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 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). r? Given Z BAC a spherical angle formed by... | |
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