 A frustum of any pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum, and whose bases are the lower base, the upper base, and a mean proportional between the bases, of the frustum. For, let ABCDE-F be...  Elements of Plane and Solid Geometry - Page 346by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...B'). 635. Corollary. A frustum of any pyramid or cone is equal to the sum of three pyramids or cones whose common altitude is the altitude of the frustum, and whose bases are the two bases and a mean proportional between the two bases of the frustum. SUGGESTION. Let F-ABCDE be... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...B'). 635. Corollary. A frustum of any pyramid or cone is equal to the sum of three pyramids or cones whose common altitude is the altitude of the frustum,, and whose bases are tl'e two bases and a mean proportional between tlie two bases of the frustum. SuGGESTfON. Let F-ABCDE... | |
 | Fletcher Durell - 1911 - 234 pages
...XXI. THEOREM 657. The volume of the frustum of any pyramid is equivalent to the sum of fhe volumes of three pyramids, whose common altitude is the altitude...the frustum, and whose bases are the lower base, the tipper base, and a mean proportional between the two bases of the frustum. jr Given the frustum of... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...volume of the frustum of a convex cone is equal to the combined volumes of three cones whose comm on altitude is the altitude of the frustum and whose bases are the upper and lower bases of the frustum and a mean proportional between these bases. Suggestion. The proof... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...V= \ H (B + B' + VB x -B'). PROPOSITION XVIII. THEOREM. 661. A frustum of any pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum, and ivhosc bases are the upper base, the lower base of the frustum, and a mean proportional betiveen them.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...total surface t. PROPOSITION XVIII. THEOREM 563. The frustum of a triangular pyramid is equivalent to the sum of three pyramids whose common altitude...whose bases are the lower base, the upper base, and the mean proportional between the two bases of the frustum. D. B Given the frustum of a triangular... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...: The volume of a frustum of a circular cone is equivalent to the sum of the volumes of three cones whose common altitude is the altitude of the frustum,...whose bases are the lower base, the upper base, and the mean proportional between the bases of the frustum. For, the value of Fmay be written, Ex. 1610.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...0 Fio. 223 325. Corollary 2. The volume of a frustum of any cone is equal to the sum of three cones whose common altitude is the altitude of the frustum and whose bases are the two bases and a mean proportional between them. [HINT. Use §§ 322, 324, noting also § 308.] EXERCISES... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...V= FIG. 223 325. Corollary 2. The volume of a frustum of any cone is equal to the sum of three cones whose common altitude is the altitude of the frustum and whose bases are the two bases. o,nd a mean proportional between them. 272 EXERCISES 1. The altitude of a right circular... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...a. 565. COROLLARY 2. l 7 /^ volume of a frustum of any pyramid is equal to tlie sum of the volumes of three pyramids whose common altitude is the altitude of the frustum, and lohose bases are the lower base, the upper base, and the mean proportional between the bases of the... | |
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