 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...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... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...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 - 1914 - 272 σελίδες
...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 - 1914 - 270 σελίδες
...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 - 1916 - 184 σελίδες
...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1918 - 486 σελίδες
...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. A. A Given ABC-HKG, a truncated triangular prism of which ABC is the base. To prove ABC-HGK = H-ABC... | |
 | Eugene Randolph Smith, William Henry Metzler - 1918 - 232 σελίδες
...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 - 1921 - 216 σελίδες
...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 - 1913 - 484 σελίδες
...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 - 1924 - 256 σελίδες
...= 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... | |
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THEOREM. 611. -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. 
