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. Elementary Geometry - Page 245by William Chauvenet - 1893Full view - About this book
| Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 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... | |
| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...truncated triangular prism whose base is ABC, and whose inclined section is DEF. Conclusion. ABC-DEF is equivalent to the sum of three pyramids whose, common base is ABC, and whose vertices are D, E, and F. Proof. Let the planes determined by A, C, and E, and C, D,... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...= v + (f— 1)— 1. POLYHEDRONS SUPPLEMENT Proposition 2. Truncated Triangular Prism 235. Theorem. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. B Given the truncated triangular prism with base ABC and inclined section DEF, and divided into the... | |
| Harvard University - Education - 1876 - 324 pages
...section of a pyramid made by a plane parallel to the base is a polygon similar to the base. 6. Prove that a truncated triangular prism is equivalent to the sum of three pyramids, which have for their common base the base of the prism, and for their vertices the three vertices of... | |
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