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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... "
School Science and Mathematics - Page 529
1911
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...a trihedral angle of the other, and are similarly placed. THEOREM IV 572. An oblique prism is equal to a right prism whose base is a right section of...whose altitude is a lateral edge of the oblique prism. Given: A'D' a right section of oblique prism FD, and F'D' a right prism with base A'D' and altitude...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...area of the base. Find (a) the distance of the section from the base ; (b) a side of the section. 369. An oblique prism is equivalent to a right prism whose...section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. 370. Find the surface of a lune whose angle is 30°,...
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Solid Geometry

Fletcher Durell - 1911 - 234 pages
...equal altitudes. PROPOSITION IV. THEOREM 613. An oblique prism is equivalent to a right prism ivhose base is a right section of the oblique prism and whose altitude is equal to a lateral edge of the oblique prism. Given the oblique prism AD', with the right section FJ;...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...seen in school buildings. Most geometries supply sufficient material in this line, however. THEOREM. 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...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...COR. 2. Two prisms with equivalent bases and equal altitudes are equal. PROPOSITION IV. THEOREM. 621. An oblique prism is equivalent to a right prism whose...whose altitude is a lateral edge of the oblique prism. M Given the oblique prism PM with the right section A'M' and lateral edge PA ; also the right prism...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...was almost as important as Pythagoras to the advance of Greek geometry." PROPOSITION VI. THEOREM 788. An oblique prism is equivalent to a right prism, whose...section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. BC Given oblique prism AD'; also rt. prism KN' with base...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...was almost aa important as Pythagoras to the advance of Greek geometry." PROPOSITION VI. THEOREM 788. An oblique prism is equivalent to a right prism, whose...section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. BC Given oblique prism AD' ; also rt. prism KN' with...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...Greek geometry." PROPOSITION VI. THEOREM 788. An oblique prism is equivalent to a right prism, ivhose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. A BC Given oblique prism AD' ; also rt. prism KN' with...
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Final Report of the National Committee of Fifteen on Geometry Syllabus

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 100 pages
...that certain statements concerning limits may be assumed either explicitly or implicitly; these are not stated as theorems. See Q3, 4, 9, R9, 10.) 1....whose altitude is a lateral edge of the oblique prism. [€4.] 2. A plane passed through two diagonally opposite edges of a parallelepiped divides it into...
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 60 pages
...may be assumed either explicitly or implicitly; these are not stated as theorems. See Qa, 4, p, Rp, 10.) 1. An oblique prism is equivalent to a right...edge of the oblique prism. [04.] , 2. A plane passed thru two diagonally opposite edges of a parallelopiped divides it into two equivalent triangular prisms....
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