 | Seth Thayer Stewart - 1891 - 426 pàgines
...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... | |
 | Arthur Latham Baker - 1893 - 154 pàgines
...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...The bounding arcs are the sides of the polygon ; the spherical angles which they form are the angles of the polygon ; their points of intersection are the... | |
 | William Chauvenet - 1893 - 340 pàgines
...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... | |
 | Webster Wells - 1894 - 400 pàgines
...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 - 1894 - 416 pàgines
...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 - 1895 - 386 pàgines
...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...The bounding arcs are the sides of the polygon; the angles formed by these sides are the angles, and the vertices of the angles are the vertices, of the... | |
 | George Washington Hull - 1897 - 408 pàgines
...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... | |
 | Arthur A. Dodd, B. Thomas Chace - 1898 - 468 pàgines
...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 - 1898 - 630 pàgines
...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 - 1899 - 248 pàgines
...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...The bounding arcs are the sides of the polygon ; the angles between the sides are the angles of the polygon ; the points of intersection of the sides are... | |
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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... 
