 its base by its altitude ; therefore the volume of any prism is equal to the product of its base by its altitude. 26. Corollary. As a cylinder is a right prism, this demonstration includes the cylinder. If, therefore, R = the radius  An Elementary Geometry - Page 60by William Frothingham Bradbury - 1872 - 110 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...and radii are determined. PROPOSITION XV. THEOREM. The solidity of a parallelepipedon, and generally of any prism, is equal to the product of its base by its altitude. For, in the first place, any parallelepipedon (11. VI.) is equivalent to a rectangular parallelepipedon,... | |
 | Geometry - 1843 - 376 pages
...rigorous or less satisfactory. PROPOSITION XIV. THEOREM. The solidity of a parallelopipedon, and generally of any prism, is equal to the product of its base by its altitude. f For, in the first place, any parallelopipedon is equivalent to a rectangular parallelopipedon,... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...equal to this number. PROPOSITION XII. THEOREM. The solidity of a parallellopidedon, and, generally, of any prism, is equal to the product of its base by its altitude. For, in the first place, any parallelopipedon is equivalent to a rectangular parallelopipedon,... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...rigorous or less satisfactory. PROPOSITION XI. THEOREM. The solidity of a parallelopipedon, and generally of any prism, is equal to the product of its base by its altitude. hence the solidity of the former is, in like manner, equal to the product of its base by... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...rigorous or less satisfactory. PROPOSITION XIV. THEOREM. The solidity of a parallelopipedon, and generally of any prism, is equal to the product of its base by its jiUitude. In the second place, any triangular prism is half of the parallelopipedon so constructed... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...rigorous or less satisfactory. PROPOSITION XI . THEOREM. The solidity of a parallelopipedon, and generally of any prism, is equal to the product of its base by its altitude. solidity of the latter is equal to its base multiplied by its height: hence the solidity... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...rigorous or less satisfactory. PROPOSITION XIV. THEOREM. The solidity of a parallelopipedon, and generally of any prism, is equal to the product of its base by its altitude. -First. Any paralielopipedon is equivalent to a rectangular parallelopipedon, having an equal... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...rigorous or less satisfactory. PROPOSITION XIV. THEOREM. The solidity of a parallelopipedon, and generally of any prism, is equal to the product of its base by its altitude. First. Any parallelopipedon is equivalent to a rectangular parallelopipedon, having an equal... | |
 | Education - 1862 - 756 pages
...equal to the product of its base by ita height.—What must be understood by that enunciation.—The volume of any prism is equal to the product of its base by its height. The volume of a tetrahedron and that of any pyramid are measured by the third of the product... | |
 | Henry Barnard - Military education - 1862 - 412 pages
...equal to the product of its base by its height.—What must bo understood by that enunciation.—The volume of any prism is equal to the product of its base by its height. The volume of a tetrahedron and that of any pyramid are measured by the third of the product... | |
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