 | William Chauvenet - Geometry - 1871 - 380 pages
...equivalent ; therefore, the volume is ABC X \AD + ABC X or ABC X ABC X tCP, AD + BE + CF 62. Corollary II. The volume of any truncated triangular prism is equal...section by one-third the sum of its lateral edges. For, let AB CA'B ' C ' be any truncated triangular prism ; the right section DEF divides it into two... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...therefore, the volume is T» j^ , ' E ABC X + ABC X + ABC X or ABCX AD + BE + CF 62. Corollary II. The volume of any truncated triangular prism is equal...section by one-third the sum of its lateral edges. For, let ABC-A'B' C' be any truncated triangular prism ; the right section DEF divides it into two... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...of its base by its altitude, the sum of the volumes of these pyramids = A£CX %(DA + EB + FC). 583. COR. 2. The volume of any truncated triangular prism...section by one-third the sum of its lateral edges. For let AB CA' B' C' be any truncated triangular prism. Then the right section DEF divides it into... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...base by its altitude, the sum of the volumes of these pyramids = ABС X\ (DA + EB + FС). 583. Сон. 2. The volume of any truncated triangular prism is...section by one-third the sum of its lateral edges. For let AB С-A' B' С' be any truncated triangular prism. Then the right section DEF divides it into... | |
 | William Chauvenet - Geometry - 1877 - 396 pages
...equivalent ; therefore, the volume is ABCX or + ABC X \BE + ABC X \CF, AD + BE+ CF ABCX 62. Corollary II. The volume of any truncated triangular prism is equal to the product of its right section by one-Udrd the sum of its lateral edges. For, let ABC-A'B'C' be any truncated triangular prism ; the... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...triangular prism is equal to the product of its base by one third of the sum of its lateral edges. A 78. Cor. 2. The volume of any truncated triangular prism is equal to the product of a right section by one third of the sum of its lateral edges. • Let GH I be a right section of the... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...triangular prism is equal to the product of its uase ly one third of the sum of its lateral edges. 78i Cor. 2. The volume of any truncated triangular prism is equal to the product of a right section by one third of the sum of its lateral edges. Let GIII be a right section of the truncated... | |
 | William Chauvenet - Geometry - 1888 - 826 pages
...been proved to be equivalent ; therefore, the volume is „ ^ -E ABCX + ABC X ABC X 62. Corollary II. The volume of any truncated triangular prism is equal...product of its right section by one-third the sum of Us lateral edges. For, let AB CA'B' C' be any truncated triangular prism ; the right section DEF divides... | |
 | 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...section 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... | |
 | 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...section 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... | |
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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. 
