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 the edge AA', pass a plane perpendicular... Solid Geometry - Page 301by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
| George Albert Wentworth - Geometry - 1877 - 416 pages
...altitude is AE, § 529 (any oblique prism is «' to a right prism whose banes are equal to right sections of the oblique prism, and whose altitude is equal to a lateral edge of the obligue prism). The prism AD CH is equivalent to a right prism whose base is ILK, and whose altitude... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...completing the parallelepiped HI J NG LKM we have a right parallelopiped equivalent to, AB С DF. § 529 (an oblique prism is equivalent to a right prism whose base is (i right section of the oblique prism and whose altitude is equal to a lateral edge of the oblique... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...are equal respectively to three faces including a triedral angle of the other. THEOREM IV. 28. Any oblique prism is equivalent to a right prism whose...equal to a lateral edge of the oblique prism. Let AH be an oblique prism. Through any point L in the lateral edge AF, pass a plane perpendicular to AF,... | |
| George Albert Wentworth - Geometry - 1882 - 442 pages
...altitude is AE, § 529 (auy oblique prism is «= to n right prism whose bases are equal to right sections of the oblique prism, and whose altitude is equal to a lateral edge of the oblique ргшп). The prism AD CH is equivalent to a right prism whose base is ILK, and whose altitude is... | |
| William Chauvenet - Geometry - 1887 - 364 pages
...and applying the base ABC to the base a'b'cf, they will coincide. PROPOSITION IV.—THEOREM. 21. Any oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. TietABCDE-A'be the oblique prism. At any point F in the edge AA', pass a plane perpendicular to AA'... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...Corollary II. Two right prisms are equal if they have equal bases and equal altitudes. PROPOSITION IV. Any oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. PROPOSITION V. Any parallelepiped is equivalent to a rectangular parallelepiped of the same altitude... | |
| William Chauvenet - 1893 - 340 pages
...Corollary II. Two right prisms are equal if they have equal bases and equal altitudes. PROPOSITION IV. Any oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. PROPOSITION V. Any parallelopiped is equivalent to a rectangular parallelopiped of the same altitude... | |
| George Albert Wentworth - Geometry - 1894 - 456 pages
...PROPOSITION IV. THEOREM. 566. 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'. Produce AA' to I", making FF'= A A', and... | |
| 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 the oblique prism and 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... | |
| George Clinton Shutts - Geometry - 1894 - 412 pages
...504. Theorem. An oblique prism is equal in magnitude to a right prism whose base is a right section and whose altitude is equal to a lateral edge of the oblique prism. Let В К be an oblique prism, E' B' a right section, and £ К a lateral edge. To prove that the prism... | |
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