 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 and whose bases are the lower base, the upper base, and the mean proportional between the bases of the...  Solid Geometry - Page 421by Fletcher Durell - 1904 - 206 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...little pyramid is taken away, is equal to the sum of three pyramids having for their common altitude the altitude of the frustum, and whose bases are the lower base of the frustum, the upper one, and a mean proportional between the two bases. Let ABCDE be a pyramid... | |
 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...or H. THEOREM. 527. The solidify of the frustum of a cone is equivalent to the sum of the solidities of three cones, whose common altitude is the altitude of the frustum, and whose bases are, the upper base of the frustum, the lower base of the frustum, and a mean proportional between them. T Let... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...PROPOSITION VI. THEOREM. The solidity of the frustum of a cone is equal to the sum of the solidities of three cones whose common altitude is the altitude of the frustum, and whose bases are, the upper base of the frustum, the lower base of the frustum, and a mean proportional between them. Let... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...pyramid or cone is equivalent to the sum of three pyramids or cones, which have for their common altitude the altitude of the frustum, and whose bases are the lower base , of the frustum, its upper base, and a mean proportion.il between therV Demonstration. Let ABCD &c.... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...small pyramid is taken away, is equal to the sum of three pyramids having for their common altitude the altitude of the frustum, and whose bases are the lower base of the frustum, the upper one, and a mean proportional between the two bases. Let SABCDE be a pyramid... | |
 | Nathan Scholfield - 1845 - 894 pages
...PROPOSITION X. THEOREM. The solidity of the frustum of a cone is equal to the sum of the solidities of three cones whose common altitude is the altitude of the frustum, and whose bases are, the upper bases of the frustum, the lower base of the frustum, and a mean proportional between them. Let... | |
 | Benjamin Peirce - Geometry - 1847 - 204 pages
...pyramid or cone is equivalent to the sum of three pyramids or cones, which have for their common altitude the altitude of the frustum, and whose bases are the lower base of the frustum, its upper base, and a mean proportional between them. Proof. Let ABCD&c. JtfJVOP &c.... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...PROPOSITION VI. THEOEEM. The solidity of the frustum of a cone is equivalent to the sum of the solidities of three cones whose common altitude is the altitude...of the frustum, and whose bases are, the lower base of the frustum, the upper base of the frustum, and a mean proportional between them. Let AEB-CD be... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...PROPOSITION VI. THEOREM. The solidity of the frustum of a cone is equivalent to the sum of the solidities of three cones whose common altitude is the altitude...of the frustum, and whose bases are, the lower base of the frustum, the upper base of the frustum, and a mean proportional between them. Let AEB•CD be... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...PROPOSITION VI. THEOREM. The solidity of the frustum of a cone is equivalent to the sum of the solidities of three cones whose common altitude is the altitude...of the frustum, and whose bases are, the lower base of the frustum, the upper base of the frustum, and a mean proportional betiueen them. Let AEB•CD... | |
| |
