 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...by its altitude should be the measure of a greater cylinder. ' We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude. 517. CoroUary i. Cylinders of the same altitude are to each other as their bases, and cylinders... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...convex surface AB is less than all those which envelope it. 196 . PROPOSITION I. THEOREM. The solidity of a cylinder is equal to the product of its base by its altitude. Let CA be a radius of the given cylinder's base; H the altitude; let surf. CA, represent... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...all. Therefore the convex surface AB is less than any which encloses it. THEOREM. 516. The solidity of a cylinder is equal to the product of its base by its altitude. Fig. 258. Demonstration. Let CA (fig. 258) be the radius of the base of the given cylinder,... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...all. Therefore the convex surface AB is less than any which encloses it. THEOREM. 516. The solidity of a cylinder is equal to the product of its base by its altitude. Fig. 258. Demonstration. Let CA (fig. 258) be the radius of the base of the given cylinder,... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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 tKeir bases ; and cylinders of... | |
 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...to the circumference of its base multiplied by its altitude. PROPOSITION II. THEOREM. The solidity of a cylinder is equal to the. product of its base by ill altitude. Let CA be the radius of the base of the cylinder, and II the altitude. Let the circ-le... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...cylinder by its altitude should be the measure of a greater cylinder. We conclude, then, that the solidity of a cylinder is equal to the product of its base by its altitude. 517. Corollary i. Cylinders of the same altitude are to each other as their bases, and cylinders... | |
 | Nathan Scholfield - 1845 - 894 pages
...to the circumference of its base multiplied by its altitude. PROPOSITION II. THEOREM. The solidity of a cylinder is equal to the product of its base by its altitude. Let H (see diagram to Prop. I.) be the altitude of the given cylinder; CA the radius of its... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...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
...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... | |
| |
The volume of a cylinder is equal to the product of its base by its altitude. 
