 | George Albert Wentworth - Geometry - 1888 - 466 pages
...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... | |
 | William C. Bartol - Geometry, Solid - 1893 - 106 pages
...zone AB. CD, the projection of the arc upon the axis, is the height of the zone. 185. COROLLARY 2. The area of a zone is equal to the circumference of a great circle multiplied by the height of the zone. For, at the limit, area AB = 2 TT • r • CD becomes, — zone... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...contrary to hypothesis. ... Sph. Z C > Sph. Z B. QED SPHERICAL SURFACES. DEFINITIONS. v 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
...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;... | |
 | John Macnie - Geometry - 1895 - 390 pages
...spheres are to each other as the squares of their radii or diameters. 703. DEFINITIONS. 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... | |
 | Encyclopedias and dictionaries - 1897 - 890 pages
...polar 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.... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...D. The lune ABCD is called the base of the wedge and the diameter AB is the edge. 673. A zone is a portion of the surface of a sphere included between two parallel planes. The circumferences of the secions are called the bases of the zone. The distance between he bases is the... | |
 | Webster Wells - Geometry - 1899 - 450 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... | |
 | William James Milne - Geometry - 1899 - 404 pages
...untenable. Consequently, Z ACB is greater than Z B. SOLID GEOMETRY. — BOOK X. SPHERICAL MEASUREMENTS 719. The portion of the surface of a sphere included between two parallel planes is called a Zone. The perpendicular distance between the planes is the altitude, of the zone, and the... | |
 | George Albert Wentworth - Geometry - 1899 - 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... | |
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A zone is a portion of the surface of a sphere included between two parallel planes. 
