 | George Albert Wentworth - 1877 - 426 σελίδες
...THEOREM. 581. A truncated triangular prism is equivalent to the suт of three pyramids whose comnwn base is the base of the prism, and whose vertices...are the three vertices of the inclined section. Let AB С-DEF Ъе a truncated triangular prism wbose base is ABС, and inclined section DEF. We are to... | |
 | William Frothingham Bradbury - 1880 - 260 σελίδες
...pyramid CA BE is equivalent to B-DEF. Therefore the truncated triangular prism ABC - DEF is equivalent to three pyramids whose common base is the base of the...vertices are the three vertices of the inclined section. 7Ii Cor. 1. If the truncated triangular prism is right, the three lateral edges will be the altitudes... | |
 | Robert Fowler Leighton - 1880 - 428 σελίδες
...is formed by three plane angles, the sum of either two of these angles is greater than the third. 3. 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... | |
 | George Albert Wentworth - 1882 - 442 σελίδες
...truncated triangular prism is equivalent to tie mm of three pyramids whose common base is the base of Ute prism, and whose vertices are the three vertices of the inclined section. Let AB CD EF be a truncated triangular prism whose base is ABC, and inclined section DE F. We are to prove... | |
 | George Albert Wentworth - 1884 - 422 σελίδες
...bases is equivalent to a mean proportional between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent to the...are the three vertices of the inclined section. Let AB CD EF be a truncated triangular prism whose base is ABC, and inclined section DE F. We are to prove... | |
 | Webster Wells - 1886 - 392 σελίδες
...Prove that the lateral surface of a pyramid is greater than its base. PROPOSITION XXIV. THEOREM. 572. A truncated triangular prism is equivalent to the sum of three pyramids, having for their common base the lower base of the prism, and for their vertices the three vertices... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 336 σελίδες
...pyramids are equivalent and the pyramids above the frustums are equivalent. PROPOSITION XX.—THEOREM. 52. A truncated triangular prism is equivalent to the...dividing the truncated prism into the three pyramids E-ABC, E-ACD, and E-CDF. • '• The first of these pyramids, E-ABC, has the base ABC and the vertex... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 332 σελίδες
...equivalent and the pyramids above the frustums are equivalent. "K PROPOSITION XX.— THEOREM. i BSyA truncated triangular prism is equivalent to the sum...dividing the truncated prism into the three pyramids E-ABC, E-ACD, and E-CDF. The first of these pyramids, E-ABC, has the base ABO and the vertex E. The... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...lower base, the upper base, and a mean proportional between the bases of the frustum. PROPOSITION XX. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. BOOK Till. THEOREMS. PROPOSITION I. Every section of a cylinder made by a plane passing through an... | |
 | William Chauvenet - 1887 - 346 σελίδες
...lower base, the upper base, and a mean proportional between the bases of the frustum. PROPOSITION XX. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. PROPOSITION XXI. Only five regular (convex) polyedrons are possible. BOOK VIII. THEOREMS. PROPOSITION... | |
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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. 
