 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...semicircles. 785. The angle of a lune is the spherical angle between the semicircles that bound it. 786. DEF. A zone is a portion of the surface of a sphere included between two parallel planes. 787. DEF. The common sections of the sphere and the planes are the bases of the zone, and the perpendicular... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...2) 180° = E. 4. S = Sl + S2 + St -i- . . = #1 +E2 + E3 + . . . = E. Therefore — 767. • A ZONE. A portion of the surface of a sphere included between two parallel planes is a zone. The circles of the sphere formed by the bounding planes are the bases of the zone and the... | |
 | George C. Shutts - 1913 - 212 pages
...= A of ABCD — (n — 2) 180° = E. 4. S = &+ S 2 + S 2 + ... = Ei+ E,+ E 2 + ... =E. 769. A ZONE. A portion of the surface of a sphere included between two parallel planes is a zone. The circles of the sphere formed by the bounding planes are the bases of the zone and the... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 272 pages
...a unit rectangular parallelepiped (a unit of volume), each of whose dimensions is one linear unit. A Zone is a portion of the surface of a sphere included between two parallel planes which cut the sphere. A Zone of One Base is a zone having one of its bounding planes tangent to the sphere.... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...birectangular spherical triangle whose third angle is an angle of one degree. 423. Definition. A lune is a portion of the surface of a sphere included between two semicircumferences of great circles. 424. COROLLARY. The two angles of a lune are equal. 425. COROLLARY.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...squares of their radii or of their diameters. S 477T2 6' r2 For S' 4 7T7-'2 ' ' V 775. A zone is the portion of the surface of a sphere included between two parallel planes which meet the sphere. The circles in which the planes cut the sphere are called the bases of the zone. If... | |
 | William Betz - Geometry - 1916 - 536 pages
...their radii or of their diameters. For - = •' "' ; .'.-, = -JT s 4 BV"° s' r* N 775. A zone is the portion of the surface of a sphere included between two parallel planes which meet the sphere. The circles in which the planes cut the sphere are called the bases of the zone. If... | |
 | Frederick Thomas Hodgson - 1917 - 696 pages
...segment. The height of a segment is the distance from the middle of its base to the convex surface. 10. A zone is a portion of the surface of a sphere, included...its bases. If the bases are equally distant from the center, it is called the middle zone. The height of a zone is the perpendicular distance between the... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...the fourth sphere to the plane, if each sphere has a radius of 8 in. Ans. 21.064 in. 806. Zones. The portion of the surface of a sphere included between two parallel planes is called a zone. It is evident that a zone can be considered as generated by an arc of a great circle.... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
