 | Gerardus Beekman Docharty - Calculus - 1865 - 328 pages
...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 - 1873 - 202 pages
...diameter EG being equal to the diameter B 7, and the altitude DE is equal to the diameter AF ; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter. This measure is the same as that of the surface of the... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the base of the cylinder, and the altitude of the prism is the same as that of the cylinder : hence, the convex surface of the cylinder is equal to the circumference of its base irmltiplied by the altitude ; which was to be proved. Cor. The convex surfaces of cylinders having... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...diameter EG being equal to the diameter B I. and the altitude DE is equal to the diameter AF ; hence; the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter. This measure is the same as that of the surface of the... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...whatever is true of the prism is true of the cylinder, (Art. 66). Cor. 2. The lateral surface of a cylinder is equal to the circumference of its base multiplied by its altitude, (P. 3, B. 7). Cor. 3. The volume of a cylinder is equal to the product of its base and altitude, (P.... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...perpendicular to the planes of the bases, which are parallel. THEOREM I. The convex surface of a right cylinder is equal to the circumference of its base multiplied by its altitude. Let AB be a right cylinder; then will its convex surface be equal to the circumference of its base... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...common altitude. That is, the volume of any prism is equal, etc. THEOREM XXII. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude; and its volume is equal to the area of its base multiplied by its altitude. Let ABCD be a cylinder,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...the base of the cylinder, and the altitude of the prism is the same as that of the cylinder : hence, the convex surface of the cylinder is equal to the...circumference of its base multiplied by its altitude ; which was to be proved. Cor. The convex surfaces of cylinders having equal altitudes are to each... | |
 | 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... | |
 | 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 convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. 
