 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...Sphere, are th* three round bodies treated of in the Elements of Geometry. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the circumference...whose radius is CA being represented by circ. CA, we are.jo show that the convex surfaw the cylinder is equal to circ, ' xH. Inscribe in the circle any... | |
 | Adrien Marie Legendre - Geometry - 1839 - 372 pages
...Sphere, are the three round bodies treated of in the Elements of Geometry. PROPO8ITION I. THEOREM. convex surface of a cylinder is equal to the circumference...by its altitude. Let CA be the radius of the given cylinder,s base, and H its altitude : the circumference •whose radius is CA being represented by... | |
 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...cylinder. This cylinder is said to circumscribe the sphere. 27. It was remarked, in Art. 4, that the convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude ; and in Art. 24, that the surface of a sphere is equal to its diameter into the circumference of a... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...cylinder is less than that of any cirn^. 253. cumscribed prism BCDKLH (fig. 253). THEOREM. 523. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Fig. 253. Demonstration. Let CA (fig. 258) be the radius of the base of the given cylinder, H its altitude... | |
 | Roswell Park - Best books - 1841 - 624 pages
...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... | |
 | 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 - 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,... | |
 | 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,... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...might be shown to be less than that of any circumscribed prism BCDKLKH. PROPOSITION IV. THEOREM. The convex surface of a cylinder is equal to the circumference...altitude ; the circumference whose radius is CA being re- | presented by circ. CA, we are to show that circ. CA XH will be the convex surface of the cylinder.... | |
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THEOREM. 7?/6 convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. 
