 The volume of a triangular prism is equal to the product of its base and altitude. Let AE be the altitude of the triangular prism ABC-C'. To prove that volume ABC-C' = ABC x AE. Construct the parallelopiped ABCD-D' having its edges equal and parallel...  The Elements of Geometry - Page 277by Webster Wells - 1886 - 371 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...equal to the product of its base and altitude (PX, C. 2). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let ABCDE-K be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...altitude of the given prism, and the sum of their bases forming the given base. 699. Corollary. — The volume of a triangular prism is equal to the product of one of its lateral edges multiplied by the are'a of a section perpendicular to that edge. VOLUME OF... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...altitude of the given prism, and the sum of their bases forming the given base. 699. Corollary. — The volume of a triangular prism is equal to the product of one of its lateral edges multiplied by the area of a section perpendicular to that edge. VOLUME OF... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...faces by a plane so that tho section shall be a parallelogram. GEOMETRY.— BOOK VII. THEOREMS. 329. The volume of a triangular prism is equal to the product of the area of a lateral face by one-half the perpendicular distance of that face from the opposite edge.... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...faces by a plane so that tho section shall be a parallelogram. GEOMETRY.— BOOK VII. THEOREMS. 329. The volume of a triangular prism is equal to the product of the area of a lateral face by one-half the perpendicular distance of that face from the opposite edge.... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...equal to the product of its base and altitude (PX, C. 2). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its ' base and altitude. Let ABCDE-K be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...altitude of the given prism, and the sum of their bases forming the given base. 609. Corollary. — The volume of a triangular prism is equal to the product of one of its lateral edges multiplied by the area of a section perpendicular to that edge. VOLUME OF... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...opposite faces are equal and parallel. 5. The diagonals of every parallelopipedon bisect each other. 6. The volume of a triangular prism is equal to the product of the area of either of its rectangular sides as a base multiplied by half its altitude on that base.... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...equal to the product of its base and altitude (PX, C. 2). PROPOSITION XIV. THEOREM. The volume of any prism is equal to the product of its base and altitude. Let ABGDE-E be any prism : then is its volume equal to the product of its base and altitude. For, through... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...opposite faces are equal and parallel. 5. The diagonals of every parallelopipedon bisect each other. 6. The volume of a triangular prism is equal to the product of the area of either of its rectangular sides as a base multiplied by half its altitude on that base.... | |
| |
