| Timothy Walker - Geometry - 1829 - 129 pages
...cube is used to express the third power of any number. 140. — The solidity of any paralltlopiped **is equal to the area of its base multiplied by its altitude** — . This will be evident if we prove that — any parallelepiped is equivalent to a right parallelopipcd... | |
| James Bates Thomson - Geometry - 1844 - 237 pages
...The convex surface of a cylinder is equal, $e. PROPOSITION II. THEOREM. The solidity of a cylinder **is equal to the area of its base, multiplied by its altitude.** Let H be the altitude of the given cylinder, RC the radius of its base, and the area of its base be... | |
| Nathan Scholfield - 1845 - 896 pages
...also equal to the arc of its base multiplied by its altitude ; and its solidity, for the same reason, **is equal to the area of its base multiplied by its altitude.** a PROPOSITION II. THEOREM. If a plane cut a cylinder diagonally, passing through the opposite edges... | |
| Nathan Scholfield - Geometry - 1845 - 506 pages
...also equal to the arc of its base multiplied by its altitude ; and its solidity, for the same reason, **is equal to the area of its base multiplied by its altitude.** PROPOSITION II. THEOREM. If a plane cut a cylinder diagonally, passing through the opposite edges of... | |
| Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...of a prism equals the area of its base multiplied by its altitude. (q.) The solidity of a cylinder **is equal to the area of its base multiplied by its altitude.** (r.) The convex surface of a cylinder is equal to the circumference of its base multiplied by. its... | |
| Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...of a prism equals the area of its base multiplied by its altitude. (q.) The solidity of a cylinder **is equal to the area of its base multiplied by its altitude.** (r ) The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude.... | |
| Charles Haynes Haswell - Measurement - 1858 - 350 pages
...altitude of tlie cylinder, V = p r2 h ; or, since p r2 = the area of the base, The volume of a cylinder **is equal to the area of its base multiplied by its altitude.** EXAMPLE 2. To ascertain the Volume of the Frustrum of a Cone with a Circular Base. The generating curve... | |
| Dana Pond Colburn - 1860 - 390 pages
...of a prism equals the area of its base multiplied by its altitude. (q.) The solidity of a cylinder **is equal to the area of its base multiplied by its altitude.** (r ) The convex surface of a cylinder is equal to the circumferciu-c of its base multiplied by its... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...convex surface of a cylinder is equal to the circumference of its base multiplied l>y its altitude; **and its solidity is equal to the area of its base multiplied by its altitude.** Let ABCD be a cylinder, having Af a prism inscribed in it whose base is a regular polygon. Now, if... | |
| Charles Davies - Geometry - 1870 - 319 pages
...therefore the solids will be equivalent. Cor. Hence, we conclude, that the solidity of a prism or cylinder **is equal to the area of its base multiplied by its altitude.** \ \ , £ r\ Of Triangular Pyramid». THEOREM XV. Two triangular pyramids, having equivalent bases and... | |
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