 | William Chauvenet - Geometry - 1871 - 380 pages
...planes, one of which is the tangent plane at E, generated by the line ET. 34. 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 bases of the zone;... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...planes, one of which is the tangent plane at E, generated by the line ET. 34. 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 bases of the zone;... | |
 | Aaron Schuyler - Measurement - 1873 - 508 pages
...diameter 20; required the area. Ans. 1256.64. 192. Problem. To find the area of a- zone. By Geometry, the area of a zone is equal to the circumference of a great circle multiplied by the altitude of the zone. Let ~ denote the altitude of the zone, r the radius of the... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the sector. 15. A plane is TANGENT TO A SPHERE when it touches it in a single point. 16. A ZONK is a portion of the surface of a sphere included between two parallel planes. The bounding lines of the sections are called bases of the zone, and the distance between the planes is... | |
 | Aaron Schuyler - Measurement - 1875 - 284 pages
...diameter 20; required the area. Ans. 1256.64. 192. Problem. To find the area of a zone. By Geometry, the area of a zone is equal to the circumference of a great circle multiplied by the altitude of the zone. Let a denote the altitude of the zone, r the radius of the... | |
 | 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. 13. The bases... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...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 between two parallel planes. The circumferences of the circles which bound the zone are called the bases, and the perpendicular distance... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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 bases of the zone;... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...r» - i(R« - r*)].* * See Rouche et Comberousse, p. 155. 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... | |
 | 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 between perpendiculars... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
