 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 378by John Charles Stone, James Franklin Millis - 1916 - 174 pagesFull view - About this book
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Solid - 1900 - 160 pages
...respectively, of F', then if the number of faces of F' increases indefinitely, PROPOSITION III. 441. Theorem. The lateral area of a frustum of a right circular cone equals one-half the product of the slant height «nd the sum of the circumferences of its bases. Given... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 pages
...respectively, of F', then if the number oj faces of F' increases indefinitely, PROPOSITION III. 441. Theorem. The lateral area of a frustum of a right circular cone equals one-half the product of the slant height and the sum of the circumferences of its bases. Given... | |
 | George Bruce Halsted - Geometry - 1904 - 324 pages
...A frustum 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... | |
 | George Bruce Halsted - Geometry - 1904 - 313 pages
...A frustum 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... | |
 | 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).]... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...slant height and the circumference of the base, or s = irrL. 623. Corollary 3. The lateral area of the frustum of a right. circular cone is equal to one...height and the sum of the circumferences of its bases, or S = TT (R + r) L, •where R and r are the radii of the bases. 624. Corollary 4. The lateral area... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...circumference of the base, or S=7T7'L. 623. Corollary 3. The lateral ftrea of the frustum of a rightci*cular cone is equal to one half of the product of its slant...height and the sum of the circumferences of its bases, or S =TT (R + r) L, where R and r are the radii of the bases. 624. Corollary 4. The lateral area of... | |
 | 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.... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...the section parallel to the bases and half way between them is called the midsection. 170. COR. 2. The lateral area of a frustum of a right circular cone is equal to the product of the slant height and the circumference of its midsection. If the radius of the midsection... | |
 | 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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