A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 257
CO. The spherical sector generatedby EOF, has the zone generated by EF for its base, the plane generated by EO for one surface, and the concave conical s-orface generated by FO for the other. 618. A Spherical Seg^nent is a portion of the sphere in-cluded by two parallel planes, it being understood… … PROPOSITION XXXU. 619. Tlieorem.—The volume of a spherical sector is equal tothe pioduct of the zone which forms its base into one-third the radiusof the sphere. Dem.—A spherical sector, like the sphere itself, may be conceived as con-sisting of an infinite number of p\Tamids whose bases make up…
Geometry · Trigonometry
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