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" A zone is a portion of the surface of a sphere included between two parallel planes. "
New Plane Geometry - Page 282
by Webster Wells - 1908 - 298 pages
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 398 pages
...lower base is 15. Find the radius of its upper base and its lateral area. THE SPHERE. DEFINITIONS, 679. A zone is a portion of the surface of a sphere included...of the circles which bound the zone are called the buses, and the perpendicular distance between their planes the altitude. A zone of one base is a zone...
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Plane and Solid Geometry: Suggestive Method

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...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...surfaces of two 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...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...bounded by the circumferences of two circles whose planes are parallel. The bounding circumferences are called the bases, and the perpendicular distance between their planes the altitude of the zone. f)72. Dcf. — If the plane of one bounding circumference is tangent to the sphere, the...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...bounded by the circumferences of two circles whose planes are parallel. The bounding circumferences are called the bases, and the perpendicular distance between their planes the altitude of the zone. 072, Def. — If the plane of one bounding circumference is tangent to the sphere, the...
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The Columbian Cyclopedia, Volume 32

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....
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...sides; as AOBC 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 altitude of the zone....
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...area. QED 527. Con. The area of a spherical polygon is equal to its spherical excess. THE SPHERE. 528. A Zone is a portion of the surface of a sphere included between parallel planes. The circumference of the circles which bound the zone are called the Bases, and the...
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...sphere is less than the radius of the sphere. 368 SPHERICAL MEASUREMENTS. DEFINITIONS. 670. A lune is a portion of the surface of a sphere included between two semicircumferences of great circles; as ABC D. The angle of the lune is the angle formed by its bounding...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...circumference of 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 between the planes is...
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