 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...equal to the plane angle of the diedral angle formed by their planes. SPHERICAL POLYGONS 710. DBF. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. The arcs are the sides, their points of intersection are the vertices, and the spherical angles formed... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...arc AB. Hence Z DPE is measured by arc AB. QED 336 SPHERICAL POLYGONS SPHERICAL POLYGONS 710. DBF. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. The arcs are the sides, their points of intersection are the vertices, and the spherical angles formed... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...circle (ยง 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... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
.../.DAF, that is, /.BAC, is measured by arc BC. 745. (Why?) QED SPHERICAL TRIANGLES AND POLYGONS 772. A spherical polygon is a portion of the surface of...three or more arcs of great circles, as ABCD. The sides of the spherical polygon are the bounding arcs; the vertices are the points in which the sides... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
.../. Z.DAF, that is, ZJ5J.C, is measured by arc EG. (Why?) QED SPHERICAL TRIANGLES AND POLYGONS 772, A spherical polygon is a portion of the surface of...three or more arcs of great circles, as ABCD. The sides of the spherical polygon are the bounding arcs; the vertices are the points in which the sides... | |
 | William Chauvenet - 1905 - 336 pages
...Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the sur. face of a sphere bounded by three or more arcs of great circles, as ABCD. Since the planes of all great circles pass through the centre of the sphere, the planes of the sides... | |
 | 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...sphere 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...sphere 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... | |
 | 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...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... | |
 | 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... | |
| |
A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The... 
