 | Adrien Marie Legendre - Geometry - 1830 - 344 pages
...shewn to be less than that of any circumscribed prism BCDKLH. (See the fig. of Art. 512.) THEOREM. 533. The con-vex surface of a cylinder is equal to the...circumference of its base multiplied by its altitude. Let CA be the radius of the given cylinder's base, H its altitude ; the circumference whose radius... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...Sphere, are the three round bodies treated of in the Elements of Geometry. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let CA be the radius of the given cylinder's base, and H its altitude : the circumference •whose... | |
 | Adrien Marie Legendre - Geometry - 1838 - 372 pages
...Sphere, are th« three round bodies treated of in the Elements of Geometry. PROPOSITION I. THEOREM. 17ie convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let CA be the radius of the given cylinder's base, and H its altitude : the circumference whose radius... | |
 | Roswell Park - Best books - 1841 - 624 pages
...sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of a cylinder, is equal to the...circumference of its base, multiplied by its altitude : that of a cone, is equal to the circumference of its base, multiplied by its slant height, or distance... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...multiplied by its altitude cannot be the measure of the surface of a greater cylinder. We conclude, then, that the convex surface of a cylinder is equal to the circumference of the base multiplied by its altitude. THEOREM. 524. The solidity of a cone is equal to the product of... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...equal to its perimeter multiplied by its altitude AF ; (5. 7 ;) therefore the convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude ; that is, equal to cire. RCxH. Hence, The convex surface of a cylinder is equal, $e. PROPOSITION II.... | |
 | Nathan Scholfield - 1845 - 894 pages
...perimeter of its base multiplied by H, whatever be the number of sides : hence, the convex surface of the cylinder is equal 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.... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...will be divided in the ratio that the circumference of the base is divided. But the convex surface is equal to the circumference of its base multiplied by its altitude, (Prop. IB III. El. S. Geom.,) and its solidity is equal to the area of its base multiplied by its altitude,... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...will be divided in the ratio that the circumference of the base is divided. But the convex surface is equal to the circumference of its base multiplied by its altitude. (Prop. IB III. El. S. Geom.,) and its solidity is equal to the area of its base multiplied by its altitude,... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...base. Thus, MLKN is a circle equal to the base FGC. 34. How do you find the surface of a cylinder ? The convex surface of a cylinder is equal to the circumference of the base, multiplied by the altitude. Thus, the convex surface of the cylinder AC, is equal to circumference... | |
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The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. 
