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 295by George Albert Wentworth - 1902 - 218 pagesFull view - About this book
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...equal. J PROPOSITION VI. THEOREM 658. 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. 1 GIVEN— the oblique prism ABCDE-A' of which KFGNH is a right section. Produce AA' to K', making... | |
| George Washington Hull - Geometry - 1897 - 408 pages
...change. PROPOSITION IV. THEOREM. 448. 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. Given—FT a right section of the oblique prism AO. To Prove—The prism AO equal to the right prism... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...621. Def. — Two solids are equivalent when their volumes are equal. PROPOSITION VI. THEOREM 633. 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.... | |
| Mathematics - 1898 - 228 pages
...angle? Prove that two diedral angles a1e equal if their plane angles are equal, and conversely. 3. An oblique prism is equivalent to a right prism whose base is a right section of the oblique prisnt and whose altitude is equal to a lateral edge of the oblique... | |
| Yale University - 1898 - 212 pages
...angle ? Prove that two diedral angles are equal if their plane angles are equal, and conversely. 3. 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.... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...to each, the planes of the upper bases coincide. § 496 Hence, H coincides with H', and / with I'. Therefore, the prisms coincide and are equal. QED...altitude is equal to a lateral edge of the oblique prism. i' Let FI be a right section of the oblique prism AD', and FT a right prism whose lateral edges are... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...If coincides with //"', and / with /'. Therefore, the prisms coincide and are equal. QED 610. COB. 1. Two truncated prisms are equal under the hypothesis...altitude is equal to a lateral edge of the oblique prism. Let FI be a right section of the oblique prism AD', and FI' a right prism whose lateral edges are equal... | |
| George Albert Wentworth - Geometry - 1899 - 498 pages
...Hence, // coincides with If, and / with /'. Therefore, the prisms coincide and are equal. QED 610. COB. 1. Two truncated prisms are equal under the hypothesis...altitude is equal to a lateral edge of the oblique prism. Let FI be a right section of the oblique prism AD', and FI' a right prism whose lateral edges are equal... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...are equal. QED 610. COR. 1. Two truncated prisms are equal under the hypothesis given in § 609. 294 PROPOSITION IV. THEOREM. 612. An oblique prism is...altitude is equal to a lateral edge of the oblique prism. Let FI be a right section of the oblique prism AD', and FI' a right prism whose lateral edges are equal... | |
| William James Milne - Geometry - 1899 - 404 pages
...Form any oblique prism ; on a base equal to a right section of the oblique prism form a right prism whose altitude is equal to a lateral edge of the oblique prism. How do these prisms compare in volume ? Theorem. An oblique prism is equivalent to a right prism which... | |
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