 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...measure of the dihedral Z.MSPN. Why? SUG. 7. What arc is the measure of Z MO N? Why ? Therefore 535. A spherical polygon is a portion of the surface of a sphere bounded by arcs of great A circles; as AB CD. The bounding arcs, AB, BC, etc., are the sides of the polygon. As... | |
 | John Macnie - Geometry - 1895 - 386 pages
...circle passing through P and cutting ABC in B ; then arc PB is _L to arc ABC (618). 620. DEFINITION. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon; the angles formed by these sides are the angles, and... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...spherical angle is the same as the measure of the dihedral angle formed by the planes of its sides. 561. A Spherical Polygon is a portion of the surface of...bounded by three or more arcs of great circles; as ABCD, or EFG. The diagonal of a spherical polygon is the arc of a great circle connecting any two vertices... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...Angle is the angle between two intersecting arcs of great circles on the surface of a sphere. 491. A Spherical Polygon is a portion of the surface of...sphere 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... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...great circles of a sphere. The arcs are the sides of the angle and their intersection the vertex. 640. A portion of the surface of a sphere bounded by three or more arcs of great circles is called a spherical polygon. The sides of the spherical polygon are the bounding arcs; the angles... | |
 | William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...intersection, and measures the dihedral angle formed by the planes of the two great circles. Spherical Polygon. Portion of the surface of a sphere bounded by three or more arcs of great circles. Spherical Pyramid. Solid bounded by a spherical polygon and the planes of the circles whose arcs are... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...circle (§ 779), the Z. ABE is a right angle. Therefore, the arc AB is _L to the arc CHD. QEF 782. DBF. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the angles between the sides are the angles of the... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...circle (§ 779), the Z ABE is a right angle. Therefore, the arc AB is _L to the arc CHD. Q EF 782. DEF. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. T he bounding arcs are the sides of the polygon; the angles between the sides are the angles of the... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...circle (§ 779), the Z ABE is a right angle. Therefore, the arc AB is -L to the arc CHD. QEF 782. DBF. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of preat circles. The bounding arcs are the sides of the poiygon ; the angles between the sides are the... | |
 | William James Milne - Geometry - 1899 - 404 pages
...intersection. 682. The angle between two intersecting arcs of great circles is called a Spherical Angle. 683. A portion of the surface of a sphere bounded by three or more arcs of great circles is called a Spherical Polygon. The bounding arcs are the sides of the polygon ; the angles which they... | |
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A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The... 
