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" But the solidity of each triangular prism is equal to the product of its base by its altitude ; and. "
New Elementary Geometry with Practical Applications - Page 124
by Benjamin Greenleaf - 1874 - 176 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...prisms of the same altitude, as there are triangles in the polygon taken for a base. But the solidity of each triangular prism is equal to the product of...is the same in each, it follows that the sum of all the partial prisms is equal to the sum of all the triangles, taken for bases, multiplied by the common...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...prisms of the same altitude, as there are triangles in the polygon taken for a base. But the solidity of each triangular prism is equal to the product of...is the same in each, it follows that the sum of all the partisfl prisms is equal to the sum of all the triangles, taken for bases, multiplied by the common...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 574 pages
...are triangles in the polygon taken for a base. But the solidity of each triangular prism is equrtil to the product of its base by its altitude ; and....is the same in each, it follows that the sum of all the partial prisms is equal to the sum of all the triangles, taken for bases, multiplied by the common...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...are triangles in the polygon taken for a base. But the solidity of each triangular prism is equ l to the product of its base by its altitude ; and,...is the same in each, it follows that the sum of all the partial prisms is equal to the sum of all the triangles, taken for bases, multiplied by the common...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...polygon taken for a base. But the solidity of each triangular prism is equal to the product of its bse by its altitude ; and, since the altitude is the same in each, it follows that the sum of all the partial prisms is equal to the sum of all the triangles, taken for bases, multiplied by the common...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...the same altitude, as there are triangles in the polygon taken for a base. But the solidity of eaeh triangular prism is equal to the product of its base...is the same in each, it follows that the sum of all the partial prisms is equal to the sum of all the triangles, taken for bases, multiplied by the common...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 216 pages
...triangular pyramid is, therefore, of a triangular prism of equal base and altitude. The solidity of the triangular prism is equal to the product of its base by its altitude, consequently, the solidity of a triangular pyramid is equal to of the product of its base...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 pages
...are triangles in the polygon taken for a base. But the solid contents of each triangular prism are equal to the product of its base by its altitude;...bases multiplied by the common altitude. Hence the solid contents of any prism are equal to the product of its base by its altitude. 475. Cor. When any...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 520 pages
...are triangles in the polygon taken for a base. But the solid contents of each triangular prism are equal to the product of its base by its altitude;...bases multiplied by the common altitude. Hence the solid contents of any prism are equal to the product of its base by its altitude. 475. Cor. When any...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...are triangles in the polygon taken for a base. But the solid contents of each triangular prism are equal to the product of its base by its altitude ;...bases multiplied by the common altitude. Hence the solid contents of any prism are equal to the product of its base by its altitude. 475. Cor. When any...
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