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" AT into equal parts .Ax, xy, yz, &c., each less than Aa, and let k be one of those parts : through the points of division pass planes parallel to the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively... "
Elements of Geometry and Trigonometry: With Notes - Page 140
by Adrien Marie Legendre - 1822 - 367 pages
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...pyramids are not equivalent, let A'B'C'-S' be the smaller, and suppose AX to be the ELEMENTS OP GEOMETRY. altitude of a prism, which, having ABC for its base,...difference. Divide the altitude AT into equal parts, each less than AX ; through each point of division pass a plane parallel to the plane of the base,...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 pages
...the sarao plane, and let Л Г be their common altitude. If they are not equivalent, let S — abc be the smaller ; and suppose Aa to be the altitude...than Aa, and let k be one of those parts : through die points of division pass planes parallel to the plane of the bases : the corresponding sections...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...equivalent. For, if the two pyramids are not equivalent, let A' B' C'-S' be the smaller, and suppose AX to be the altitude of a prism, which, having ABC for...difference. Divide the altitude AT into equal parts, each less than AX ; through each point of division pass a plane parallel to the plane of the base,...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...equivalent. For, if the two pyramids are not equivalent, let A' B' C'-S' be the smaller, and suppose AX to be the altitude of a prism, which, having ABC for...difference. Divide the altitude AT into equal parts, each less than AX; through each point of division pass a plane parallel to the plane of the base, thus...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 352 pages
...in the same plane, and let AT" be their common altitude. If they arc not equivalent, let /S — abc be the smaller ; and suppose Aa to be the altitude...one of those parts : through the points of division pass planes parallel to the plane of the bases : the corresponding sections formed by these planes...
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