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" 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 295
by George Albert Wentworth - 1902 - 218 pages
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...other. Corollary. Two right prisms are equal if they have equal bases and equal altitudes. THEOREM III. 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...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...GEOMETRY [CHAP. VII PROPOSITION IV 488. An oblique prism is equal in volume 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 AJ\x> any oblique prism of which FG'H'J'K' is a right section made by the plane L. It is required...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...unit. 553. DBF. Equivalent solids are solids whose volumes are equal. PKOPOSITION IV. THEOREM 554. 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...
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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 pages
...unit. 553. DBF. Equivalent solids are solids whose, volumes are equal. PROPOSITION IV. THEOREM 554. 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...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...unit. 553. DEF. Equivalent solids are solids whose volumes are equal. PROPOSITION IV. THEOREM 554. 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...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...to each, the planes of the upper bases coincide. § 496 Hence, H coincides with H', and I with I'. Therefore, the prisms coincide and are equal. QED...FI be a right section of the oblique prism AD', and PI" a right prism whose lateral edges are equal to the lateral edges of AD'. To prove that AD' =0=...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...Two right prisms are equal if they have equal bases and equal altitudes. PROPOSITION IV. THEOREM 613. 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...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...prisms are equal if thf.y have equal bases and equal altitudes. 0 PROPOSITION IV. THEOREM »<»• 613. 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....
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School Science and Mathematics, Volume 7

Education - 1907 - 880 pages
...edges. Are they careful lest we get it perpendicular to some of the lateral edges and not to the others? "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."...
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Catalogue ...

Yale University. Sheffield Scientific School - 1905 - 1074 pages
...planes are perpendicular to a third plane, their intersection is perpendicular to that plane. • 2. 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....
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