 | Alan Sanders - Geometry - 1908 - 396 pages
...of the common trihedral angle that lie opposite the equivalent faces. PROPOSITION XXII. THEOREM 978. A truncated triangular prism is equivalent to the...section. Let ABC-DEF be a truncated triangular prism. To Prove ABC-DEF = D-ABC + E-ABC + F-ABC. Proof. Pass the planes D AC and DFC, dividing the truncated... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...Determine its locus, discussing the different cases which may occur. 388. Prove that a triangular truncated prism is equivalent to the sum of three pyramids whose...the base of the prism, and whose vertices are the vertices of the inclined section. 389. Find the volume of a truncated triangular prism, if its base'... | |
 | John Fenner Brown - 1911 - 136 pages
...terms of altitude and the parallel bases h(B+b+-v/bB) 3 A truncated triangular prism is equivalent to three pyramids, whose common base is the base of the prism and whose apices are the three vertices of the section made by the cutting plane. Vol. Frustum of Regular Cone... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...ft., and the sides of its base are, respectively, 10, 17, and 21 ft. PROPOSITION XIX. THEOREM. 662. A truncated triangular prism is equivalent to the...the base of the prism, and whose vertices are the vertices of the inclined section. Given the truncated triangular prism P, with base ABC and inclined... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...this is analogous to the definition of similar polygons in plane geometry. PROPOSITION I. THEOREM 711. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. Given a truncated triangular prism ABC-DEF whose base is ABC and inclined section DBF, the truncated... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...61°, C = 71°. Find the area of triangle ABC. APPENDIX TO SOLID GEOMETRY PROPOSITION I. THEOREM 798. A. truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. Given ABC-HKG, a truncated triangular prism of which ABC is the base. To prove ABC-HGK = H-ABC + K-ABC... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...this is analogous to the definition of similar polygons in plane geometry. PROPOSITION I. THEOKEM 711. A truncated triangular prism is equivalent to the...pyramids whose common base is the base of the prism and ivhose vertices are the three vertices of the inclined section. Given a truncated triangular prism... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 272 pages
...pyramids whose bases are the upper bases of the frustum, and finish the demonstration, IX THEOREM 26 A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section (the section formed by the truncating plane) . Draw the figure as shown on the next page, so that no... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...pyramids whose bases are the upper bases of the frustum, and finish the demonstration, IX THEOREM 26 A truncated triangular prism is equivalent to the sum of three pyramids ivhose common base is the base of the prism, and whose vertices are the three vertices of the inclined... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...shortest line. QED DISCUSSION. Why will CD and A'B' intersect? 388 SOLID GEOMETRY BOOK VII 776. THEOREM. A truncated triangular prism is equivalent to the...prism whose base is ABC, and inclined section DEF. To prove that ABC-DEF is equivalent to the three pyramids constructed on ABC as base, with vertices... | |
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A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section. 
