| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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 b£se **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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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