 | Science - 1906 - 1084 pages
...If sediment * Throughout this paper the word '"zone" is used in its proper mathematical sense of a "portion of the surface of a sphere included between two parallel planes." — As prevailingly denned, the " zone of fracture" in the earth may here be profitably called the... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...respectively; the volume of the sphere being 180. MEASUREMENT OF THE SPHERE DEFINITIONS 583. A zone is a portion of the surface of a sphere included between two parallel planes. The circumferences of the circles which bound the zone are called the bases, and the perpendicular distance... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...the cases when one extremity of AB is in MN and when AB intersects MN. 706 Definitions. A zone is a portion of the surface of a sphere included between two parallel planes which cut the sphere. The circumferences of the sections of the sphere are the bases of the zone and... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...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
...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... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...every point of the arc AB and hence it must be the arc AB. MEASUREMENT OF THE SPHERE 432. Definition. The portion of the surface of a sphere included between two parallel planes is called a zone; the two circumferences in which the planes cut the spherical surface, and which limit... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...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... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...the 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.... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
