 | Webster Wells - Geometry - 1886 - 392 pages
...+ area CD) x And in Fig. 2, volume ABC = (area BD — area CD) x 361 THE SPHERE. DEFINITIONS. 726. A zone is a portion of the surface of a sphere included...of whose bounding planes is tangent to the sphere. 727. A spherical segment is a portion of the volume of a sphere included between two parallel planes.... | |
 | Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...the sphere. Vig. 168. 305. Proceeding to the consideration of the parts of the surface of the sphere, a zone is a portion of the surface of a sphere included between two parallel circular bases ; or, it is the base of a sectoj. Thus, the surface between fghk and mnop is a zone... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...Corollary), the vertex A is that pole, and therefore AB and A 0 are quadrants. 67. Definition. A lune is a portion of the surface of a sphere included between two semicircumferences of great circles; as AMBNA. The two angles of a lune are equal, since each is equal... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...nearest approximation in the case of most casks Is given by the formula THE SPHERE. DEFINITIONS. 784. A zone is a portion of the surface of a sphere included between two parallel planes. The altitude of the zone is the perpendicular distance between the parallel planes. The bases of the zone... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...hypothesis. ,-. ZA.CB > ZB. QED (704) RELATIVE AREAS OF SPHERICAL FIGURES. DEFINITIONS. 725. A lune is a portion of the surface of a sphere included between two semi-circumferences of great circles ; as ACBD. The angle of a lune is the angle between the semi-circumferences... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...of the frustum of the pyramid are elements in the lateral surface of the frustum of the cone. 541. A zone is a portion of the surface of a sphere included between two parallel planes. 542. The projection of one line upon another is the part of the second line included between perpendiculars... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...contrary to the hypothesis. .'. Z. ABC is greater than ZC ae.o, MEASUREMENT OF SPHERICAL SURFACES. 757. 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... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...contrary to hypothesis. .-. Sph. Z <7>Sph, SPHERICAL SURFACES. DEFINITIONS. Q . E . D . 292. A zone is the 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... | |
 | William Chauvenet - 1893 - 340 pages
...Corollary), the vertex A is that pole, and therefore AB and AC are quadrants. - 1 o 67. Definition. A lune is a portion of the surface of a sphere included between two semicircumferences of great circles; as AMBNA. The two angles of a lune are equal, since each is equal... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...whose slant height is to the diameter of its base as 13 to 10. THE SPHERE. DEFINITIONS. 679. A none is a portion of the surface of a sphere included between...of whose bounding planes is tangent to the sphere. 680. A spherical segment is a portion of a sphere included between two parallel planes. The circles... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
