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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. "
The Elements of Solid Geometry - Page 56
by William C. Bartol - 1893 - 95 pages
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Plane and Solid Geometry

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...
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College Entrance Examination Papers in Plane Geometry

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...
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 60 pages
...inscribed in or circumscribed about any given tetrahedron. [Hs.J 9. 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). [K 5 .] V. Spherical Triangles and Polygons...
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 60 pages
...inscribed in or circumscribed about any given tetrahedron. [Hg.] 9. 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). PCS-] V. Spherical Triangles and Polygons (Every...
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Solid Geometry

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...
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Plane and Solid Geometry

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,...
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Plane and Solid Geometry

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...
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Solid Geometry

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...
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Solid Geometry

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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