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" An oblique prism is equivalent 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. r Let FI be a right section of the oblique prism AD', and PI" a right prism... "
Solid Geometry - Page 295
by George Albert Wentworth - 1902 - 218 pages
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Constructive Text-book of Practical Mathematics, Volume 3

Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...Construct a unit volume. IX THEOREM 9 The volume of a cube equals the cube of its edge. IX THEOREM 10 An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism and whose altitude equals a lateral edge of the oblique prism....
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Solid Geometry

John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...truncated prisms also are equal under the conditions stated in ยง 588. PROPOSITION IV. THEOREM 691. 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....
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...parallelopiped divides the parallelopiped into two equal triangular right prisms. 2. 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 the lateral edge of the oblique prism. 3. The plane passed through two diagonally opposite edges of...
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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 base is a right section of the oblique prism, and whose altitude is a lateral edge of the oblique prism. Given...
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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 base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique...
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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 base is a right section of the oblique prism, and whose altitude is a lateral edge of the oblique prism. Given...
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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 base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1286 pages
...parallel planes cutting all the lateral edges are congruent polygons. 14. An oblique prism is equal to a right prism whose base is equal to a right section...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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Bulletin

Education - 1921 - 1190 pages
...parallel planes cutting all the lateral edges are congruent polygons. 14. An oblique prism is equal to a right prism whose base is equal to a right section...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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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...respectively to the lateral faces of the other, and are similarly placed. Proposition 249 Theorem . 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...
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