 COR. 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges.  Solid Geometry - Page 389by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...by V, and its base ABC by B. Then V = B x ^AD -f B x ^BE -f B x ^CF = B x + BE 4- CF). 678 COROLLARY 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. For the right section DEF divides the truncated prism into... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...by V, and its base ABC by B. Then V = Bx£AD + B x £BE + B x £CF = B x + BE + CF). 678 COROLLARY 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. For the right section DEF divides the truncated prism into... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...altitudes drawn to the base from the three vertices opposite the base. SOLID GEOMETRY 635. THEOREM. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. Proof : The right section divides the solid into two truncated... | |
 | John Clayton Tracy - Surveying - 1907 - 854 pages
...of a right section multiplied by the length of a line joining the centers of mass of the two bases. The volume of any truncated triangular prism is equal to the* product of its right section by J the sum of its lateral edges. Any truncated prism whose base is a symmetrical polygon can be divided... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...triangular prism is equal to the product of its base by one third the sum of its lateral edges. 664. COK. 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. PROPOSITION XX. THEOREM 665. Tetrahedrons having a trihedral... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...triangular prism is equal to the product of its base by one third the sum of its lateral edges. 800. COR. 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. HINT. The right section divides the truncated prism so that... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...It is interesting to consider the special case in which A DEF is parallel to A ABC. 713. COROLLARY 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. PROPOSITION II. THEOREM 714. The volumes of two tetrahedrons... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...prism. It is interesting to consider the special case in which &DEF is parallel to &ABC. 713. COROLLARY 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. PROPOSITION II. THEOREM 714. The volumes of tivo tetrahedrons... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...It is interesting to consider the special case in which A DEF is parallel to A ABC. 713. COBOLLABT 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges. For the right section DEF (Fig. 2) divides the truncated prism... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...finished and complete the demonstration. IX THEOREM 27 The volume of any truncated triangular prism equals the product of its right section by one-third the sum of its lateral edges. Through each of the truncated prisms into which the right section divides the given truncated prism,... | |
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