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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'. "
Elements of Geometry - Página 242
por Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 páginas
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - 1807 - 408 páginas
...ABCD—E= \ABCD X FO. § 463 Hence vol. ABD —E = ABDXFO. § 80. QED PROPOSITION XIV. THEOREM. 465. The volume of any prism is equal to the product of its base and altitude. Given — ABODE— F any prism. To Prove— Vol. ABODE— F= ABODE X AF. Dem. — Through the lateral edge...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1863 - 464 páginas
...parallelopipedon is 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...
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American Journal of Education and College Review, Volumen12

1863 - 768 páginas
...equal to the product of its base by its 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 nnd that of any pyramid are measured by the third of...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 páginas
...Article 692, to be equivalent to a right prism having the same base and altitude. 698. Corollary — The volume of any prism is equal to the product of its base by its altitude. For any prism is composed of triangular prisms, having the common altitude of...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - 1868 - 284 páginas
...they are to each other as their bases. THEOREM VI. The volume of any parallelopipedon, and in general of any prism, is equal to the product of its base and altitude. the product of its base and altitude. For, each of these volumes is equal to a rectangular parallelopipedon...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 444 páginas
...Article 692, to be equivalent to a right prism having the same base and altitude. 698. Corollary. — The .volume of any prism is equal to the product of its base by its altitude. For any prism is composed of triangular prisms, having the common altitude of...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 páginas
...ABCD-A' is equal to the product of its base AC by its altitude B' O. PROPOSITION XIII.— THEOREM. 38. The volume of any prism is equal to the product of its base by its altitude. 1st. Let ABO-A' be a triangular prism. This prism is equivalent to one-half the...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 464 páginas
...parallelopipedon is 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...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - 1873 - 288 páginas
...Article 092, to be equivalent to a right prism having the same base and altitude. 698. Corollary — The volume of any prism is equal to the product of its base by its altitude. For any prism is composed of triangular prisms, having the common altitude of...
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An Elementary Geometry

William Frothingham Bradbury - 1872 - 124 páginas
...altitude; 24. Cor. 2. The volume of a cube is equal to the cube of its edge. SOLID GEOMETRY. THEOREM V. 25. The volume of any prism is equal to the product of its base by its altitude. For any prism is equivalent to a right parallelopiped, having an equivalent base...
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