 | 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... | |
 | 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... | |
 | 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... | |
 | 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 two parallel planes. The circumferences of the circles which bound the zone are called the bases, and the perpendicular distance... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...case the above construction will produce but two triangles, whose sum is equal to AB C. 674. A lune is a portion of the surface of a sphere included between two semi-circum- \ ferences of great circles, as ABC D. 675. The angle of a lune is the angle of the two... | |
 | John Macnie - Geometry - 1895 - 390 pages
...equal spheres are to each other as their bases. 716. DEFINITIONS. A spherical segment is a portion of a sphere included between two parallel planes. The altitude of the segment is the perpendicular distance between the parallel planes ; the bases are the sections of the... | |
 | Encyclopedias and dictionaries - 1897 - 890 pages
...circle to the n. pole; and south frigid zone, from the s. polar circle to the s. pole: in math., the portion of the surface of a sphere included between two parallel planes; a band or stripe running round any object; a band or area encircling anything; in OE., circumference.... | |
| |
The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone. 
