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" An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. OM is a right section of oblique prism AD', and OM ' a right prism whose altitude... "
Solid Geometry - Page 367
by Fletcher Durell - 1904 - 206 pages
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...580. DBF. Equivalent or equal solids are solids whose volumes are equal. PROPOSITION IV. THEOREM 581. An oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. A Given GM, a right section of oblique prism AD', and GM', a right prism whose altitude is equal to...
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Solid Geometry Developed by the Syllabus Method

Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...area of the base. Find (a) the distance of the section from the base; (6) a side of the section. 369. An oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. 370. Find the surface of a lune whose angle is 30°, on a sphere whose radius is 5 ft. 371. If the...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...three faces including a triedral angle of the other, and are arranged in the same order. 660. Theorem. An oblique prism is equivalent to a right prism whose...section of the oblique prism, and whose altitude is a lateral edge of the oblique prism. Given the oblique prism AD'; also the right prism GJ' whose base...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...three faces including a triedral angle of the other, and are arranged in the same order. 660. Theorem. An oblique prism is equivalent to a right prism whose...section of the oblique prism, and whose altitude is a lateral edge of the oblique prism. Given the oblique prism AD'; also the right prism GJ' whose base...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...that of a right prism having for its base a right section of the oblique prism and for its altitude a lateral edge of the oblique prism. Given the oblique prism AD' with FGHJK a right section and FG'H'J'K' a right section of the prism extended so that AA' = KK'. To prove...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...that of a right prism having for its base a right section of the oblique prism and for its altitude a lateral edge of the oblique prism. Given the oblique prism AD' with FGHJK a right section and F'G'H'fK' a right section of the prism extended so that AA' = KK'. To prove...
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Bulletin

Education - 1921 - 1190 pages
...edges are congruent polygons. 14. An oblique prism is equal to a right prism whose base is equal to a right section of the oblique prism and whose altitude is equal to a lateral edge of the oblique prism. 15. The opposite faces of a parallelepiped are congruent. 16. The plane passed through two diagonally...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1286 pages
...edges are congruent polygons. 14. An oblique prism is equal to a right prism whose base is equal to a right section of the oblique prism and whose altitude is equal to a lateral edge of the oblique prism. 15. The opposite faces of a parallelopiped are congruent. 16. The plane passed through two diagonally...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...through F' ± to AF', intersect the lateral faces produced, forming the right section F'K'. Then FK' is a right prism whose base is a right section of the oblique prism and whose altitude FF' is equal to a lateral edge of the oblique prism. A A' = FF' (?) AF = A'F' (?) In like manner it...
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The Reorganization of Mathematics in Secondary Education

National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...edges are congruent polygons. 14. An oblique prism is equal to a right prism whose base is equal to a right section of the oblique prism and whose altitude is equal to a lateral edge of the oblique prism. 15. The opposite faces of a parallelopiped are congruent. 16. The plane passed through two diagonally...
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