 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...circumference of the great circle. BOOK VIII. SOLID GEOMETRY. MEASUREMENT OF SPHERICAL SURFACES. 817. DEF. A zone is a portion of the surface of a sphere included...between two parallel planes. The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...perpendicular to the circumference of the great circle. MEASUREMENT OF SPHERICAL SURFACES. 817. DBF. A zone is a portion of the surface of a sphere included...between two parallel planes. The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...an axis is equal to AD x 2 ir OM. [ OM is the apothem of the regular polygon.] 1178. DEFINITIONS. . A zone is a portion of the surface of a sphere included between two parallel planes. The distance between the parallel planes is the altitude of the zone, and the circumferences of the circles... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...circumference of the great circle. BOOK VIII. SOLID GEOMETRY. MEASUREMENT OF SPHERICAL SURFACES. 817. DBF. A zone is a portion of the surface of a sphere included...between two parallel planes. The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is... | |
 | Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 370 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 between two parallel planes, which form its bases. If the bases are equally distant from the center, it is called the middle zone.... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...of the octahedron is twice that of the cube. AREA AND VOLUME OF A SPHERE. 88. DBF. 69. A zone is the portion of the surface of a sphere included between two parallel planes. If one of the planes be a tangent-plane to the sphere, the zone is called a zone of one base. 89. PROP.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...given sphere. SOLID GEOMETRY — BOOK VIII MENSURATION OF THE SPHERE SPHERICAL SURFACES DEFINITIONS 815 A zone is a portion of the surface of a sphere included between two parallel planes. The bases of a zone are the circumferences of the sections formed by the parallel planes. The altitude... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...given; Third, when three sides are given; Fourth, when three angles are given (663). 868. A zone is that portion of the surface of a sphere included between two parallel planes CED, AFB (Fig. 132). The bases of the zone are the two circumferences CED and AFB, which include the... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...the volume of a pentagonal spherical pyramid the angles of whose base are 109°, 128°, 137°, 153°, and 158°, respectively; the volume of the sphere...of whose bounding planes is tangent to the sphere. A..spherical segment is a portion of a sphere included between two parallel planes. The circles which... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...(Why?) AB 2 TTCH .'. AB X 2 TTCE = DF X 2 TrCH. .'. area AB = DF X 2 TTCH. BOOK VIII 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... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
