| Daniel Alexander Murray - 1906 - 466 pages
...great circle is meant, unless expressly stated otherwise. ON SPHERICAL TRIANGLES. 12. Definitions. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the points of intersection of the sides are the vertices... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...angle of the diedral angle formed by the planes of the two circles. SPHERICAL POLYGONS. DEFINITIONS 787 A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The sides of a spherical polygon are the bounding arcs ; the vertices are the points in which the sides... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...angle of the diedral angle formed by the planes of the two circles. SPHERICAL POLYGONS. DEFINITIONS 787 A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The sides of a spherical polygon are the bounding arcs ; the vertices are the points in which the sides... | |
| Joseph Claudel - Mathematics - 1906 - 758 pages
...the sphere into four equal right wedges, and the surface into four equal right lunes. 858. A part ABC of the surface of a sphere bounded by three or more arcs of great circles is called a spherical polygon. The arcs are the sides of the polygon. 859. A spherical triangle is... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...whose vertices are the opposite ends of these diameters, are symmetrical spherical triangles. 745. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. Two spherical polygons are equal if they can be made to coincide. The diagonal of a spherical polygon... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(247). That is, arc PAE is -L to circumference BEDC. QED SPHERICAL TRIANGLES 740. A spherical triangle is a portion of the surface of a sphere bounded by three arcs of great circles. The bounding arcs are the sides of the triangle. The intersections of the sides... | |
| Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...great circle is meant, unless expressly stated otherwise. ON SPHERICAL TRIANGLES. 12. Definitions. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the points of intersection of the sides are the vertices... | |
| Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...great circle is meant, unless expressly stated otherwise. ON SPHERICAL TRIANGLES. ^ 12. Definitions. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the points of intersection of the sides are the vertices... | |
| Webster Wells - Geometry - 1908 - 336 pages
...diedral angle between their planes. (ยง 379) SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS DEFINITIONS 539. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles ; as ABCD. The bounding arcs are called the sides of the spherical polygon, and are usually measured... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...measure as the dihedral angle formed by the planes of the two circles. SPHERICAL POLYGONS. 753. DEF. A spherical polygon is a portion of the surface of a sphere bounded by three or more great circles. The bounding arcs are called the sides, their points of intersection, the vertices,... | |
| |