 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...---FP~ SF_V_ _ SA X SB X SC - - - V ~ SD X SE X SF (033) (375) (307) QED Proposition 22. Theorem.* 638. A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the lower base of the prism, and whose vertices are the three vertices of the upper base. Hyp. Let ABC-DEF... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...truncated triangular prism is equivalent to the sum of three pyramids whose common base is the lower base of the prism, and whose vertices are the three vertices of the upper base. Hyp. Let ABC-DEF be a truncated triangular prism. To prove ABC-DEF equivalent to the sum... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...truncated triangular prism is equivalent to the gum of three pyramids whose common base is the lower ba*e of the prism, and whose vertices are the three vertices of the upper base. Hyp. Let ABC-DEF be a truncated triangular prism. To prove ABC-DEF equivalent to the sum... | |
 | William Chauvenet - Geometry - 1891 - 344 pages
...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...the prism and whose vertices are the three vertices «f the inclined section. PROPOSITION XXI. Only five regular (convex) polyedrons are possible. BOOK... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...of which the side PROPOSITION XXII. THEOBEM. 611. A truncated triangular prism is equivalent to tlie sum of three pyramids whose common base is the base...prism, and whose vertices are the three vertices of ttie inclined section. F Let ABC-DEF be a truncated triangular prism whose base is ABC, and inclined... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...the base of the prism, and whose vertices are the three vertices of the inclined section. LetABC-DEF be a truncated triangular prism whose base is ABC, and Inclined section DEF. Pass the planes AEO and DEC, dividing the truncated prism into the three pyramids E-ABC, E-ACD, and E-CDF. To prove... | |
 | William Chauvenet - 1893 - 340 pages
...lower base, the upper base, aud 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 VIII. THEOREMS. PROPOSITION I. Every section of a cylinder made by a plane passing through an... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...polyhedron evidently has as many faces as its primitive has vertices. PROPOSITION XXI. THEOREM. 210. A truncated triangular prism is equivalent to the...prism and whose vertices are the three vertices of the upper base. Notation. Let P be a truncated triangular prism and R, S 2 and T x three pyramids having... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...polyhedron evidently has as many faces as its primitive has vertices. PROPOSITION XXI. THEOREM. 210. A truncated triangular prism is equivalent to the sum of three pyramids who e common base is the ba e of the prism and whose vertices are the three vertices of the upper base.... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...height is 5'. Ex. 352. The volume of a truncated triangular prism is equal to the sum of the volumes of three pyramids whose common base is the base of the prism and whose vertices are, respectively, the vertices of the inclined sections. Let AB CD EF represent a truncated triangular... | |
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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. 
