 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...as the squares of any two homologous edges. 806. COB. 5. The volumes of two similar polyhedrons are to each other as the cubes of any two homologous edges. HINT. If an edge of the first polyhedron is to the homologous edge of the second polyhedron as 1 : n, then... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...of similitude of AA'B'C' and VK' VK of similitude of quad D'E'F'G1 and DEFG = UG' AABC The ratio 4. If a pyramid is cut by a plane parallel to its base, then the ratio of the lengths of the altitudes is equal the ratio of similitude of the base and the... | |
 | Geometry - 100 pages
...congruent. Theorem 6 The lateral edges of a regular pyramid form congruent isosceles triangles. Theorem 7 If a pyramid is cut by a plane parallel to its base, the cross section is a polygon similar to the base, and the lateral edges and altitude are divided proportionally.... | |
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If a pyramid is cut by a plane parallel to its base, the... 
