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 Washington Hull - Geometry - 1807 - 408 pages
...demonstration above applies to two truncated prisms, without change. PEOPOSITION IV. THEOREM. 448. Any oblique prism is equivalent to a right prism, whose...the oblique prism, and whose altitude is equal to a lateraledge of the oblique prism. Given — FI a right section of the oblique prism AO. To Prove—... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...the base ABC to the base a'b'e', they will coincide. \ , M^ PROPOSITION VI.— THEOREM. •26. Any oblique prism is equivalent to a right prism whose...equal to a lateral edge of the oblique prism. Let AB CDE-A' be the oblique prism. At any point F in the edge AA', pass a plane perpendicular to A A'... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...and applying the base ABC to the base a'b'c', they will coincide. PROPOSITION VI.— THEOREM. 26. Any oblique prism is equivalent to a right prism whose...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 to AA' and... | |
| William Chauvenet - Geometry - 1875 - 466 pages
...base ABC to the base a'b'c', they will coincide. • PROPOSITION VI.—THEOREM. 26. Any oblique pritnn is equivalent to a right prism whose base is a, right...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 to AA' and... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...equivalent to a right prism whose bases are equal to right sections of the oblique prism, and wlwse altitude is equal to a lateral edge of the oblique prism. Let AU be an oblique prism ; FI, a right section. Complete the right prism FI', making its edges equal... | |
| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...respectively to three faces including a triedral angle of the other. GEOMETRY OF SPACE. D 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 - 1877 - 426 pages
...completing the parallelopiped HIJN-GLKM we have a right parallelopiped equivalent to, AB С DF. § 529 (an oblique prism is equivalent to a right prism whose...is equal to a lateral edge of the oblique prism,). Through the edge IL make the right section ILPO, and complete the right parallelopiped I LP OH GQR,... | |
| William Chauvenet - Geometry - 1877 - 396 pages
...ABC to the base a 'b 'e', they will coincide. PROPOSITION VI.— THEOREM. 26. Any oblique prism i» equivalent to a right prism whose base is a right...altitude is equal to a lateral edge of the oblique prism. . • ~LetABCDE-A' be the oblique prism. At any point F in the edge AA', pass a plane perpendicular... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...completing the parallelopiped ÎIIJ N-GLKM we have a right parallelopiped equivalent to, AB С DF. § 529 (an oblique prism is equivalent to a right prism whose...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 complete... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...the parallelopiped HIJ 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... | |
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