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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'. "
Scientific Schools: France. The Polytechnic school at Paris ... - Page 29
by Henry Barnard - 1862 - 130 pages
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Elements of Geometry and Trigonometry: With Notes

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,...
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Elements of Geometry and Trigonometry

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,...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

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,...
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Elements of Geometry: With Practical Applications ...

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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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,...
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Elements of Geometry: With, Practical Applications

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...
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Elements of Geometry and Trigonometry

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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...
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Military Schools and Courses of Instruction in the Science and Art ..., Part 1

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...the third of the product of the base by the height. The volumes of two similar polyhedrons are to each other as the cubes of the homologous edges. Volume...
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Military Schools and Courses of Instruction in the Science and Art of War ...

Henry Barnard - Military education - 1862 - 410 pages
...equal to the product of its base by its height.—What mast be understood by that enunciation.—The volume of any prism is equal to the product of its...the third of the product of the base by the height. The volumes of two similar polyhedrons are to each other as the cubes of the homologous edges. Volume...
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