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" The frustum of a triangular 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 two bases of the frustum. "
A Text-book of Geometry - Страница 296
написао/ла George Albert Wentworth - 1895 - 437 страница
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 страница
...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...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 346 страница
...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 страница
...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...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 216 страница
...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....
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 268 страница
...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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 страница
...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...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1847 - 204 страница
...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....
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 страница
...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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 страница
...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...
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - 1857 - 442 страница
...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...
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