 | George Roberts Perkins - Geometry - 1847 - 326 pages
...cylinder multiplied by its altitude, cannot be the measure of a greater cylinder. Hence, finally, the solidity of a cylinder is equal to the product of its base by its altitude, Cor. 1. Cylinders of the same altitude are to each other as their bases ; and cylinders of... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...convex surfaces perpendicular to the common base : hence the two solids will be equal; therefore the solidity of a cylinder is equal to the product of its base by its altitude. Cor. 1. Cylinders of the same altitude are to each other as their bases ; and cylinders of... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...of sides of the prism, its solidity is equal to the product of its base by its altitude; hence the solidity of a cylinder is equal to the product of its base by its altitude. Cor. 1. If A represent the altitude of a cylinder, and R the radius of its base, the area... | |
 | Elias Loomis - Calculus - 1851 - 300 pages
...altitude AB. Then =nb'x+C. AB Taking the integral between the limits x=0 and a;=AB=A, we have that is, the solidity of a cylinder is equal to the product of its base by its altitude. Ex. 2. It is required to determine the solidity of a cone. Let A represent the altitude of... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...is equal to tlie circumference of its base multiplied by its altitude. PROPOSITION II. THEOEEM. The solidity of a cylinder is equal to the product of its base by its altitude. 207 For; inscribe in the base of the cylinder any regular polygon BDEFGA, and construct on... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...circumference of its base multiplied by its altitude. PROPOSITION II. THEOREM. The solidity of a cyl1nder is equal to the product of its base by its altitude. Let CA be the radius of the base of the cylinder, and H the altitude. Let the circle whose radius is CA be denoted... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...of sides of the prism, its solidity is equal to the product of its base by its altitude ; hence the solidity of a cylinder is equal to the product of its base by its altitude Cor. 1. If A represent the altitude of a cylinder, and R the radius of its base, the area... | |
 | John Reynell Morell - Geometry - 1871 - 156 pages
...equation any of the three quantities, V, h, and r, can be found if the two others are given. The volume of a cylinder is equal to the product of its base by its height. The cylinder is also considered as a 3 Geometric Elementaire, par H. Bos, Professeur au Lycee... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...altitudes, or as the squares of the radii of their bases. PROPOSITION III.— PROBLEM. . 12. The volume of a cylinder is equal to the product of its base by itg TcJ<.£. . altitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...altitudes, or as the squares of the radii of their bases. PROPOSITION III.— PROBLEM. 12. The volume of a cylinder is equal to the product of its base by itt altitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude by H.... | |
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The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H. 
