 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...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. (s.) The solidity of a cone or of a pyramid equals the area of its base multiplied by i of its altitude.... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...rectangle becomes a square, the conjugate cylinders are equal solids. The area of the convex or lateral surface of a cylinder is equal to the circumference of its base multiplied by its altitude ; or, denoting the area required by A, the altitude of the cylinder by /i, and the radius of the base... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...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. (s.) The solidity of a cone or of a pyramid equals the area of its bnse multiplied by j of its altitude.... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...and cone are termed the THREE BOUND 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 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-G-be a cylinder, whose circumference is the circle AB CD EF, and whose altitude is the line... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...cone are termed the THREE ROUND BODIES of elementary Geometry. PROPOSITION I. — THEOREM. 572. Tfie convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABCI/EF-Gbe a cylinder, whose circumference is the circle А В С DEF, and whose altitude is the... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 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... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...CYLINDER, 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... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...their common altitude. That is, the solidity of any prism is equal, etc. 86 GEOMETRY.THEOREM VIII. The 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... | |
 | C. Davies - 1867 - 342 pages
...polyedron having its centre at the centre of the sphere133 CYLINDER, CONE, AND FRUSTUMTHEOREM IThe convex surface of a cylinder is equal to the circumference of its base multiplied by its 'altitudeLet ABDE be the base of a cylinder whose altitude is H; then will its convex surface be equal... | |
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The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. 
