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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 Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...are not equivalent, let A' B' G' - 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 Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...pyramids are not equivalent, let A'B'C'-S' be the smaller, and suppose AX to be the ELEMENTS OF GEOMETRY. altitude of a prism, which, having ABC for its base, is equal to their difference. X Divide the altitude AT into equal parts, each less than AX ; through each point of division pass...
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Elements of Geometry and Trigonometry;: With Practical Applications

Benjamin Greenleaf - Geometry - 1863 - 502 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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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1863 - 436 pages
...for its base, is equal to their differenceDivide the altitude AT into equal parts Ax, xy, yz, Sic-, each less than Aa, and let k be one of those parts : through the points of division pass planes parallel to the plane of tho bases : the corresponding sections formed by these planes...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...are not equivalent, let A1 B' C' - S' be the smaller, and suppose AX to be the ELEMENTS OF GEOMETRY. altitude of a prism, which, having ABC for its base, is equal to their difference. TS BB Divide the altitude AT into equal parts, each less than AX ; through each point of division pass...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1864 - 358 pages
...its base, is equal to their differenceDivide the altitude AT into equal parts Ax, xy, yz, &c-, sach less than Aa, and let k be one of those parts : through the points of division pass planes parallel to the plane of tho bases : the corresponding sections formed by these planes...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1866 - 328 pages
...equivalent. For, if the two pyramids are not equivalent, let A' B' G' - 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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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...situated in the same plane, ana let AT be their common altitude- If they are not equivalent, let S — abc be the smaller ; and suppose Aa to be the altitude of a prism, which, haying ABC for its base, is equal to their differenceDivide the altitude AT into equal parts Ax, xy,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...and let them have the same altitude, AT ; then these pyramids are equivalent. ELEMENTS OP GEOMETRY. altitude of a prism, which, having ABC for its base, is equal to their difference. TS Divide the altitude AT into equal parts, each less than AX ; through each point of division pass...
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