 | Webster Wells - Geometry - 1899 - 180 pages
...lateral area multiplied by one-fifth the radius of its base. THE SPHERE. DEFINITIONS. 662. 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... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...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... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...indefinitely, the area generated by the broken line approaches the area of the zone as a limit. Hence COR. 3. The area of a zone is equal to the circumference of a great circle multiplied by the altitude of the zone* Thus the area generated by the arc BC — FO X 2 vtR. 814.... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...indefinitely, the area generated by the broken line approaches the area of the zone as a limit. Hence COE. 3. The area of a zone is equal to the circumference of a great circle multiplied by the altitude of the zone. Thus the area generated by the arc BC = FOX.2 TtR. 814. COE.... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...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... | |
 | Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 370 pages
...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
...edge 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
...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... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
