 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...rigorous or less satisfactory. 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,... | |
 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...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. For, in the first place, any parallelopipedon is equivalent to a rectangular parallelopipedon, having the... | |
 | 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. • H 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, having the... | |
 | 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. For, in the first place, any parallelopipedon (B. VII, Prop, vn) is equal to a rectangular parallelopipedon... | |
 | 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 altitude. For, in the first place, any parallelopipedon is equivalent to a rectangular parallelopipedon, having the... | |
 | 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. THEOEEM. 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... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...satisfactory. 192 GEOMETRT. 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... | |
 | 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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The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'. 
