 The lateral area of a regular pyramid equals half the product of its slant height and the perimeter of its base. For in the above theorem, let B' = 0 ; then s' and p  Solid Geometry - Page 309by Wooster Woodruff Beman, David Eugene Smith - 1900 - 139 pagesFull view - About this book
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...the regular pyramid ; AB the slant height of the frustum. Theorem 14. The lateral area of the frustum of a regular pyramid equals half the product of its slant height and the sum of the perimeters of its bases. Given BB', a frustum of a regular pyramid, h its slant height,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...the regular pyramid ; AB the slant height of the frustum. Theorem 14. The lateral area of the frustum of a regular pyramid equals half the product of its slant height and the sum of the perimeters of its bases. Given B B', a frustum of a regular pyramid, h its slant height,... | |
 | Mathematics - 1898 - 228 pages
...a pyramid, a regular pyramid. Show that the lateral area of a regular pyramid is equal to one-half the product of its slant height and the perimeter of its base. 2. The volumes of two similar tetrahedrons are to each other as the cubes of their homologous edges.... | |
 | Yale University - 1898 - 212 pages
...a pyramid, a regular pyramid. Show that the lateral area of a regular pyramid is equal to one-half the product of its slant height and the perimeter of its base. 2. The volumes of two similar tetrahedrons are to each other as the cubes of their homologous edges.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...remembering that p is the sum of the sides s, and p' of the sides s', we have I = i. h (p + p'). COROLLARY. The lateral area of a regular pyramid equals half...lateral area of a regular pyramid whose base is a - r triangle 'of altitude 2 V3, and whose slant height is a ? 655. What is the total area of a frustum... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...remembering that p is the sum of the sides s, and p' of the sides s', we have I = '£ h (p + //). COROLLARY. The lateral area of a regular pyramid equals half...the above theorem, let B' = 0; then s' and p' = 0 ; .'. J = £ hp. Exercises. 653. Prove the above corollary independently of the theorem. 654. What... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...volume of the brick decrease in baking ? PROPOSITION XIV. 417. Theorem. The lateral area of the frustum of a regular pyramid equals half the product of its slant height and the sum of the perimeters of its bases. Given BB', a frustum of a regular pyramid, h its slant height,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 395 pages
...and remembering that p is the sum of the sides s, and p1 of the sides s', we have t = ^ COROLLARY. The lateral area of a regular pyramid equals half...above theorem, let B' = 0 ; then s' and p' = 0 ; /. I — -J- hp. Exercises. 653. Prove the above corollary independently of the theorem. 654. What is the... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 400 pages
...the perimeter of its base. For in the above theorem, let B' = 0; then 8' and p' = 0 ; .'. I = | tip. Exercises. 653. Prove the above corollary independently...regular pyramid whose base is a a _ triangle of altitude g Vo, and whose slant height is a ? PROPOSITION XV. 418. Theorem. Pyramids having equal bases and equal... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 pages
...volume of the brick decrease in baking ? PROPOSITION XIV. 417. Theorem. The lateral area of the frustum of a regular pyramid equals half the product of its slant height and the sum of the perimeters of its bases. Given BB', a frustum of a regular pyramid, h its slant height,... | |
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