 | Henry Raper - Nautical astronomy - 1908 - 1018 pages
...TRIANGLE is a figure formed on the surface of the sphere by the intersection of three great circles. THE SHORTEST DISTANCE between two points on the surface of a sphere is an arc of the great circle passing through those points. THE STEREOGRAPHIC PROJECTION * of the sphere... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...Through three points on the surface of a sphere there exists one and only one circle. 909. Def. The distance between two points on the surface of a sphere is the length of the minor arc of the great circle joining them. PROPOSITION II. THEOREM 910. All points on... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...Through three points on the surface of a sphere there exists one and only one circle 909. Def. The distance between two points on the surface of a sphere is the length of the minor arc of the great circle joining them. PROPOSITION II. THEOREM 910. Ml points on... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...are ends of a diameter, any number of great circles can be passed through these points. 708. DBF. The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them. Ex. 1654. Considering the earth as a sphere,... | |
 | George C. Shutts - 1913 - 212 pages
...every point in the plane is equidistant from the extremities of the arc. 702. DISTANCE ON A SPHERE. The distance between two points on the surface of a sphere is the shorter arc of the great circle joining them. PROPOSITION X. 703. THEOREM. All points on a circle of... | |
 | William Betz - Geometry - 1916 - 536 pages
...points, is the minor arc of the great circle passed through the two given points. 742. The spherical distance between two points on the surface of a sphere is the minor arc of a great circle joining the two points. This arc is sometimes called a geodesic. 1. Name... | |
 | John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...large) of the circumference of a circle — it may be a degree or less, or many degrees, in length. The shortest DISTANCE between two points on the surface of a sphere is the arc of a great circle passing through those points. A SPHERICAL ANGLE is the inclination of two great... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...great circle passing through the other. SPHERICAL TRIANGLES LINES ON SPHERES 108. We have stated that the shortest distance between two points on the surface of a sphere is the minor arc of a great circle passing through these points. This fact is important for two reasons. I.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...are ends of a diameter, any number of great circles can be passed through these points. 708. DEF. The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them. Ex. 1664. Considering the earth as a sphere,... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...great circle passing through the other. SPHERICAL TRIANGLES LINES ON SPHERES 108. We have stated that the shortest distance between two points on the surface of a sphere is the minor arc of a great circle passing through these points. This fact is important for two reasons. I.... | |
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The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them. 
