 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...and cone are termed the* THREE ROUND BODIES of elementary Geometry. PROPOSITION I. — THEOREM. 572. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABCDEF-Gbea cylinder, whose circumference is the circle ABC DEF, and whose altitude is the line.... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...a polyedron having its centre at the centre of the sphere. CYLINDER, CONE, AND FRUSTUM. THEOREM I. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABDE be the base of a cylinder whose altitude is H; then will its convex surface be equal to circumference... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...and cone are termed the THREE ROUND BODIES of elementary Geometry. PROPOSITION I. — THEOREM. 572. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABCDEF-Gbea cylinder, whose circumference is the circle ABCDEF, and whose altitude is the line... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...CYLINDER, the CONE, and the SPHERE, are sometime* called TUB. THREE ROUND BODIES. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the circumference of its base multiplied by tJ>e altitude. Let ABD be the base of a cylinder whose altitude is H: then will its convex surface... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...cylinder, cone, and sphere are termed the Three Round Bodies of Elementary Geometry. THEOREM I. 338t The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABCDEF—G bea cylinder, whose circumference is the circle ABCDEF , and whose altitude is the line... | |
 | Gerardus Beekman Docharty - Calculus - 1865 - 328 pages
....:S=2irbx+C. When x-0, C=0, and S=0. If we make a;=:A=the height of the cylinder, we have S=27tb.h. That is, the convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Ex. 133. To find the surface of a sphere. Let y—^r^—y? be the equation of the generating circle.... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...cylinder, cone, and sphere are termed the Three Round Bodies of Elementary Geometry. THEOREM I. 338. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABCDE FG bea cylinder, whose circumference is the circle ABCDE F, and whose altitude is the line... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...CYLINDEB, the CONE, and the SPHERE, are sometimes called THE THREE ROUND BODIES. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the circumference of its base multiplied by the altitude. Let ABD be the base of a cylinder whose altitude is H : then will its convex surface... | |
 | Catherinus Putnam Buckingham - Calculus - 1875 - 362 pages
...slant height. (240) For the convex surface of a cylinder we have _y=R=radius of the base hence that is, the convex surface of a cylinder is equal to the circumference of its base into its altitude (241) In the case of the sphere we have (Art. 68) hence S=2-Rx+C Estimating from... | |
 | Catherinus Putnam Buckingham - Calculus - 1875 - 374 pages
...height. (240) For the convex surface of a cylinder we have j=R=radius of the base hence S =2T that is, the convex surface of a cylinder is equal to the circumference of its base into its altitude (241) In the case of the sphere we have (Art. 68) a$ hence S= Estimating from the... | |
| |
The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. 
