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" THEOREM. 7?/6 convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. "
Elements of Geometry and Trigonometry Translated from the French of A.M ... - Page 169
by Charles Davies - 1849 - 359 pages
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...approaches S as its limit, .-. S = P XE. QED 754. COR. 1. The lateral area of a cylinder of revolution is equal to the circumference of its base multiplied by its altitude. + II). (436) (439) 755. COR. 2. If H denote the altitude of a cylinder of revolution, R the radius...
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 382 pages
...Measurement of the Cylinder, Cone, and Sphere. It is proved in Geometry that : 1. The lateral area of a cylinder is equal to the circumference of its base multiplied by its altitude ; or, approximately, to twice the radius of its base, times its altitude, times 3.1416. 2. The volume...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...these limits are equal. (§ 188) .-. S=PxE. 642. Cor. I. The lettered urea of a cylinder of revolution is equal to the circumference of its base multiplied by its altitude. 643. Cor. n. If 8 denotes the lateral area, T the total area, // the altitude, and R the radius of...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...Limits, these limits are equal. (§ 188) 642. Cor. I. The lateral area of a cylinder of revolution is equal to the circumference of its base multiplied by its altitude. 643. Cor. II. If S denotes the lateral area, T the total area, H the altitude, and R the radius of...
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The Natural Arithmetic: Book 1-, Volume 3

Isaac Oscar Winslow - Arithmetic - 1901 - 314 pages
...lateral surface of a solid is the surface of its sides exclusive of its ends or bases. The lateral surface of a cylinder is equal to the circumference of its base multiplied by its altitude. The lateral surface of a regular pyramid or cone is equal to one half of the product of the perimeter...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...have (1) by Theorem of Limits. (§ 187) 490. By § 489, the lateral area of a cylinder of revolution is equal to the circumference of its base multiplied by its altitude. 491. If S denotes the lateral area, T the total area, H the altitude, R the radius of the base, of...
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Key to the Exercises in Wells's New Geometry

Webster Wells - 1909 - 154 pages
...area of the cylinder equals 2 x TT x 9 x 8 = 144 TT. (The lateral area of a cylinder of revolution is equal to the circumference of its base multiplied by its altitude.) § 490. 2. If the cylinder is an oblique circular cylinder, a right section would not be a circle but...
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The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 620 pages
...Again, lemma 522 may be omitted, being only introduced for the sake of demonstrating theorem 523. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Now it has already been demonstrated, lemma 620, that ' the convex surface of a right prism, is equal...
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