 | Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...INTRODUCTION. 85. SPHERICAL TRIGONOMETRY treats of the solution of spherical triangles. A spherical triangle is a portion of the surface of a sphere bounded by three arcs of great circles of the sphere. NOTE. — Before undertaking the study of spherical trigonometry... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...included arcs of great polar circles are the only arcs that serve as measures for spherical angles. 562. A spherical polygon is a portion of the surface of a sphere bounded by the intersecting arcs of great circles, each arc being less than a semi-circumference. The arcs of... | |
 | William Chauvenet - 1893 - 340 pages
...planes are perpendicular to its plane (VI., Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre of the sphere, the planes of... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...the plane angle of the dihedral angle between the planes of the Qs. 251. A spherical polygon is the portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the spherical angles which they form are the angles of... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...of the diedral formed by their planes. SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 605. A spherical polygon is a portion of the surface of a sphere bounded by three or more arc's of great circles; as AH CD. The bounding arcs are called the sides of the spherical polygon.... | |
 | 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...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 the... | |
 | 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...sphere 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... | |
 | 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...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... | |
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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 bounding arcs are the sides of the polygon ; the... 
