 | James Hayward - 1829 - 218 σελίδες
...plane DEF were inclined to the base, we should say — A truncated triangular prism is equivalent to three pyramids whose common base is the base of the prism, and whose heights are respectively equal to the distances of the opposite vertices from the base. 255. As all... | |
 | Benjamin Peirce - 1837 - 216 σελίδες
...base of the truncated prism is the same as the base of the prism from which it is cut. 392. Theorem.. 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... | |
 | Benjamin Peirce - 1847 - 204 σελίδες
...base of the truncated prism is the same as the base of the prism from which it is cut. 392. Theorem. 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... | |
 | William Chauvenet - 1871 - 380 σελίδες
...triangular frustum ; namely, TRUNCATED TRIANGULAR PRISM. x _<"'* v PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the...prism, and whose vertices are the three vertices of the inclined section. Let ABC-DEF be a truncated triangular prism whose base is ABC and inclined section... | |
 | William Chauvenet - 1871 - 380 σελίδες
...the triangular frustum ; namely, \p\ TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the...of three pyramids whose common base is the base of Hie prism, and whose vertices are the three vertices of the inclined section. Let ABC-DEF be a truncated... | |
 | William Chauvenet - 1872 - 382 σελίδες
...frustum; namely, V=^h(B + b + ty $4r - tL /s TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.—THEOREM. 'GO. A truncated triangular prism, is equivalent to the...prism, and whose vertices are the three vertices of the inclined section. Let ABC-DEF be a truncated triangular * prism whose base is ABC and inclined section... | |
 | Harvard University - 1876 - 554 σελίδες
...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 tlie prism, and for their vertices the three vertices... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...Corollary. As a cone is a pyramid (49), this demonstration includes the frustum of a cone. THEOREM XX. 76. A truncated triangular prism is equivalent to the...prism, and whose vertices are the three vertices of the inclined section. Let ABC be the inclined section of the truncated triangular prism AB CDE F. Pass... | |
 | George Albert Wentworth - 1877 - 436 σελίδες
...bases is equivalent to a mean proportional between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent to the...prism, and whose vertices are the three vertices of the inclined section. F Let AB CD EF be a truncated triangular prism, wiose base is ABC, and inclined section... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent fo the sum of three pyramids whose common base is the...prism, and whose vertices are the three vertices of the inclined section. D, Let AB CD EF be a truncated triangular prism whose base is ABC, and inclined section... | |
| |
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. 
