...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...

...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...

...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...

...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...

...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...

...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...