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" The lateral area of a frustum of a right circular cone is equal to one half the product of its slant height and the sum of the circumferences of its bases. "
Solid Geometry - Page 355
by Claude Irwin Palmer - 1918 - 177 pages
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...other end ; EB becomes the slant height of the frustum. Hence it will follow that the curved surface of a frustum of a right circular cone is equal to the difference of two sectors of circles which have a common angle ; the arcs of the sectors being the...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 324 pages
...of a cone is the portion included between the base and a plane parallel to the base. 455. Theorem. The lateral area of a frustum of a right circular cone is half the product of its slant height by the sum of the lengths of Us bases. Proof. It is the difference...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 322 pages
...of a cone is the portion included between the base and a plane parallel to the base. 455. Theorem. The lateral area of a frustum of a right circular cone is half the product of its slant height by the_ sum of the lengths of its bases. Proof. It is the difference...
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School Science and Mathematics, Volume 11

Education - 1911 - 946 pages
...pyramid is one half the product of the slant height and the sum of the perimeters of the bases. [Q7-] 8. The lateral area of a frustum of a right circular cone is one half the product of the slant height and the sum of the circumferences of the bases. [Qg (a).]...
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A Secondary Arithmetic

John Charles Stone - Business mathematics - 1908 - 266 pages
...50 Ib. of brass. How long is it? A cubic inch of brass weighs .303 Ib. 17. By the method of § 157, the lateral area of a frustum of a right circular cone is seen to equal the product of the slant height by half of the sum of the circumferences of the bases....
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...and the sum of the perimeters of the bases. What kind of plane figures are its faces ? 168. COR. 1. The lateral area of a frustum of a right circular cone is equal to one half the product of the slant height and the sum of the circumferences of the bases. If the radii...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...right cone whose lower base is 10 ft. in diameter and upper base 8 ft. Find the lateral surface. 3. The lateral area of a frustum of a right circular cone is 60 ir sq. in., the radii of the two bases are 6 in. and 4 in. Find the slant height of the frustum....
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...of a frustum of a right circular cone, S = TrL(R + r); T = TrL( R + r) + ir(3? + r 2 ). 884. Cor. n. The lateral area of a frustum of a right circular cone is equal to the product of its slant height and the circumference of a section midway between its bases. Ex. 1398....
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of a cone, made by a plane passing through an element, is a trapezoid. PROPOSITION XII. THEOREM 882. The lateral area of a frustum of a right circular cone is equal to one half the product of the surn of the circumferences of its bases and its slant height. ,t M Given...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...of the cone included between the bases of the frustum. SOLID GEOMETRY PROPOSITION XII. THEOREM 882. The lateral area of a frustum of a right circular cone is equal to one half the product of the sum of the circumferences of its bases and its slant height. Given frustum...
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