 | 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... | |
 | 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,... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | 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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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... 
