COR. 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. Solid Geometry - Page 389by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...(638) . • . volume ABC-DEF = ^ABC X AD + iABC X BE + £ABC X CF, (632) = ABC X KAD + BE + CF). 640. COR. 2. The volume of any truncated triangular prism...by onethird the sum of its lateral edges. For, the rt. section GHK divides the truncated triangular prism ABC-DEF into two truncated rt. prisms whose... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...volume ABC-DEF = £ABC X AD + £ABC X BE + |ABC X CF (632) = ABC X HAD + BE + CF). 640. COR. 2. Tlie volume of any truncated triangular prism is equal...by onethird the sum of its lateral edges. For, the rt. section GHK divides the truncated triangular prism ABC-DEF into two truncated rt. prisms whose... | |
| George Albert Wentworth - Geometry - 1892 - 468 pages
...its base by its altitude, the sum of the volumes of these pyramids = A BC X \ (DA + EB + FC). 613. COR. 2. The volume of any truncated triangular prism is equal to the product of its rig hi section by one-third the sum of its lateral edges. For let ABC-A'B'C* be any truncated triangular... | |
| Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...The sum of the volumes of the pyramids = the common base by J the sum of the three altitudes. 212. COR. 2. The volume of any truncated triangular prism...the sum of its lateral edges. For the right section divides the truncated prism into two truncated right prisms, whose volumes are by Cor. 1 = the rt.... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...triangular prism is equal to the product of its base by one-third the sum of its lateral edges. 613. Cor. 2. The volume of any truncated triangular prism...section by onethird the sum of its lateral edges. 619. Two similar polyhedrons may be decomposed into the same number of tetrahedrons similar, each to... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...its lateral edges by the area of the base to which those edges are perpendicular. 695. Exercise. — The volume of any truncated triangular prism is equal to the product of onethird the sum of its lateral edges by the area of a right section. 696. Exercise. — A frustum... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...its lateral edges by the area of the base to which those edges are perpendicular. 695. Exercise. — The volume of any truncated triangular prism is equal to the product of onethird the sum of its lateral edges by the area of a right section. 696. Exercise. — A frustum... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...lateral edges by the area of the base to which those edges are perpendicular. 69.5. Exercise.—The volume of any truncated triangular prism is equal to the product of onethird the sum' of its lateral edges by the area of a right section. 696. Exercise. — A frustum... | |
| George Albert Wentworth - Geometry - 1898 - 462 pages
...is one-third the product of its base by its altitude, the sum of the volumes of these pyramids 613. COR. 2. The volume of any truncated triangular prism...equal to the product of its right section by one-third ike sum of its lateral edges. For let ABC-A'B'C' be any truncated triangular prism. Then the right... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...base ABC, are the altitudes of the three pyramids whose sum is equivalent to the truncated prism. 661. COR. 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. GENERAL THEOREMS OF POLYHEDRONS. PROPOSITION XXIV. THEOREM.... | |
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