 | Elias Loomis - Conic sections - 1877 - 458 pages
...centre. The base of the pyramid is the spherical polygon intercepted by those planes. . 11. A zone is a portion of the surface of a sphere included between two parallel planes. 12. A spherical segment is a portion of a sphere included between two parallel planes.... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...tri-rectangular spherical triangle is evidently an eighth part of the surface of the sphere. DEFINITIONS. 39i A Lune is a portion of the surface of a sphere included...between two semi-circumferences of great circles, as ABDEA in (41). THEOREM XVI. 41 i A lune is to the surface of the sphere as tlie angle of the lime is... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...sides and the included angle of the other; (2) if they have a side and two adjacent DEFLATION'S. 1. A Lune is a portion of the surface of a sphere included...between two semicircumferences of great circles; as AB CE. 2. The Angle of a Lune is the angle included by the bounding semi-circumferences; or, which... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...surface of the sphere as the altitude ofi the zone is to the diameter of the sphere. OP LUNES. 724. A Lune is a portion of the surface of a sphere included by two semi-circumferences of great circles. The surface AmB» is a lune. 725. The Angle of tKe Lune... | |
 | William Chauvenet - Geometry - 1884 - 384 pages
...triangles, ABC, A'BC, etc. RATIO OF THE SURFACES AND VOLUMES OF SPHERICAL FIGURES. 90. Definitions. A lime is a portion of the surface of a sphere included between two semi-circumferences of great circles ; as AMBNA. A spherical ungula, or wedge, is a solid bounded by a lune and the two semicircles which intercept... | |
 | Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...parallel planes, one of which is the tangent plane at E) generated by the line ET. 32. Definition. A zone is a portion of the surface of a sphere included between two parallel planes. The circumferences of the sections of the sphere made by the parallel planes are the... | |
 | William Chauvenet - Geometry - 1891 - 344 pages
...Corollary), the vertex A is that pole, and therefore AB and AC are quadrants. 67. Definition. A lime 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 to the diedral angle formed by the planes... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...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... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...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... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. The circumferences of the sections... 
