...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...

...namely, V=^h(B + b + ty $4r - tL /s TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.—THEOREM. 'GO. A truncated triangular prism, is equivalent to the sum...the three pyramids, E-ABC, E-ACD and E-CDF. " The second pyramid, E-ACD, is equivalent to the pyramid B- A CD; for they have the same base A CD, and...

...of the triangular frustum ; namely, TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the sum...dividing the truncated prism into the three pyramids, E-AB C, EA CD and E- CDF. The first of these pyramids, E-ABC, has the base ABC and the vertex K The...

...the triangular frustum ; namely, •TBUNCATED TRIANGULAR PRISli. PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the sum...are the three vertices of the inclined section. Let ABG-DEF be a truncated triangular prism whose base is ABC and inclined section DEF. Pass the planes...

...of the triangular frustum ; namely, TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the sum...the truncated prism into the three pyramids, E-ABC, EA CD and E-CDF. The first of these pyramids, E-ABC, has the base ABC and the vertex E. The second...

...bases is equivalent to a mean proportional between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent to the sum...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 DE F. We are...

...between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent fo the sum of three pyramids whose common base is the...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 DE F. We are...

...equivalents: PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent to the »um of three pyramids whose common base is the base of...vertices are the three vertices of the inclined section. F Д Let AB CD EF be a truncated triangular prism whose base is ABC, and inclined section DE F. We...

...pyramid C-ABE 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. 771 Cor. 1. If the truncated triangular prism is right, the three lateral edges will be the altitudes...

...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...