 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...  Plane and Solid Geometry - Page 255by Elmer Adelbert Lyman - 1908 - 340 pagesFull view - About this book
 | William Chauvenet - Geometry - 1871 - 380 pages
...the base a'b'c', they will coincide. PROPOSITION VI.— THEOREM. 26. Any 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. Let AB CDE-A' be the oblique prism. At any point F in... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...the base a'b'c', they will coincide. PROPOSITION VI.— THEOREM. 26. Any 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. Let ABCDE-A' be the oblique prism. At any point F in... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...a triedral angle of the other. GEOMETRY OF SPACE. D THEOREM IV. 28. Any 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. Let AH be an oblique prism. Through any point L in the... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...N-GLKM we have a right parallelopiped equivalent to, AB С DF. § 529 (an oblique prism is equivalent to a right prism whose base is a right section of the oblique prism and whose altitude is equal ta a lateral edge of the. оЫ-ique prism). Through the edge IL make the right section ILPO,&n/l... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...NG LKM we have a right parallelopiped equivalent to, ABC DF. §529 (an obliqiw prism is equivalent to a right prism whose base is a right section of the oblique jmsm and whose altitude is equal to a lateral edge of the oblique prism). Through the edge IL make... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...bases ; and any two prisms are to each other as the products of their bases by their altitudes. COR. 2. An oblique prism is equal to a right prism whose base is congruent with its right section, and altitude equal to its lateral edges (2, Cor. 2) : hence the volume... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...three faces including a triedral angle of the other. THEOREM IV. 28. Any 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. Let AH be an oblique prism. Through any point L in the... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...equal if they have equal bases and equal altitudes. PROPOSITION IV. Any 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. PROPOSITION V. Any parallelepiped is equivalent to a... | |
 | William Chauvenet - 1893 - 340 pages
...the base a'b'c', they will coincide. PROPOSITION IV.—THEOREM. 21. Any 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. lietABCDE-A'be the oblique prism. At any point F in the... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...plane bisects the dihedral angle. PROPOSITION VI. THEOREM. 415. An oblique prism is equal in magnitude to a right prism whose base is a right section of...whose altitude is a lateral edge of the oblique prism. Let BK be an oblique prism and A'B C' D' E' aright section. To prove that the prism BK is equal in... | |
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