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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. GM is a right section of oblique prism AD', and OM ' a right prism whose altitude... "
Plane and Solid Geometry - Σελίδα 276
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - 1807 - 398 σελίδες
...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—...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 σελίδες
...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...altitude is 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 Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 368 σελίδες
...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...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 to AA'...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1875 - 368 σελίδες
...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...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 to AA'...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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,...

An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 240 σελίδες
...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...altitude is 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...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1877 - 368 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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...




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