Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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 346
by George Albert Wentworth - 1877 - 398 pages
Full view - About this book

Solid Geometry

William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...PROPOSITION XV. THEOREM 716. The volume of a frustum of a pyramid is equal to the sum of the volumes of three pyramids whose common altitude is the altitude...whose bases are the lower base, the upper base, and the mean proportional between the of the frustum. Given the frustum AD\ with lower base &, upper base...
Full view - About this book

Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...to fill up this cavity? 716. The volume of a frustum of a pyramid is equal to the sum of the volumes of three pyramids whose common altitude is the altitude...whose bases are the lower base, the upper base, and the mean proportional between the bases of the frustum. V Given the frustum AD1, with lower base b,...
Full view - About this book

Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...of metal are there in it ? Ex. 70. Prove that a frustum of a circular cone is equal to three cones whose common altitude is the altitude of the frustum, and whose bases equal the lower base, the upper base, and the mean proportional between the bases of the frustum. Ex....
Full view - About this book

Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 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....
Full view - About this book

Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...274. THEOREM XII. The volume of the frustum of a cone is equal to the combined volumes of three cones whose common 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...
Full view - About this book

Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...274. THEOREM XII. The volume of the frustum of a cone is equal to the combined volumes of three cones whose common 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...
Full view - About this book

Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...+ p VB~' (VB + VB''} (?) = }A (B + B' + VB x B'.) (?) aED COR. A frustum of a pyramid is equivalent to the sum of three pyramids whose common altitude...mean proportional between the bases of the frustum. Let V denote the volume, B and B' the bases, and h the altitude of a frustum of a pyramid. Then THE...
Full view - About this book

Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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....
Full view - About this book

Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...3 Fio. 240 325. 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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF