| Adrien Marie Legendre - Geometry - 1822 - 367 pages
...multiplied by half the side cannot be the measure of the surface of a smaller cone. Hence finally, **the convex surface of a cone is equal to the circumference of** its base multiplied by half its side. Scholium. Let L be the side of a cone, B, the radius of its base... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...equal pyramid, and the base of the cone to that of an equal cone, the surface of the two pyramids will **enclose that of the two cones, and consequently will...conclude then, that the convex surface of a cone is equal** Jo the circumference of the base multiplied by half of its side. 529. Scholium. Let L be the side of... | |
| Adrien Marie Legendre - Geometry - 1825 - 280 pages
...the frustum of a cone has for its measure iOPx (7iX-dO + 7ixDP+nxAOxDP) (422), or \n : THEOREM. 528. **The convex surface of a cone is equal to the circumference of** its base multiplied by half its side. Kg. 259. Demonstration. Let AO (Jig. 259), be the radius of .the... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...Prop. XII. Cor. 2.) ; and the solidity of the cylinder will be ĞR2 x H, PROPOSITION III. THEOREM. **The convex surface of a cone is equal to the circumference of** its base, multiplied by half its side. Let the circle ABCD be the base of a cone, S the vertex, SO... | |
| Charles Davies - Geometrical drawing - 1840 - 264 pages
...S—CDB, the cone S—FKH be taken away, the remaining part is called the frustum of a cone. M? 8. **The convex surface of a cone is equal to the circumference of the base multiplied by half** the slant height. Thus, the convex surface of the cone C — AED is equal to circumference AEDx \CA.... | |
| Adrien Marie Legendre - Geometry - 1841 - 235 pages
...measure i OP X (* X AO + * X DP + *xAOx DP) (422), or i * X OP X (AO + PD + AO X DP). THEOREM. 528. **The convex surface of a cone is equal to the circumference of** its base multiplied by half its side. Demonstration. Let AO (fig. 259), be the radius of the base of... | |
| Charles Waterhouse - Arithmetic - 1842 - 166 pages
...contained arcs divided by their radii. 29. The capacity of solids are as the cubes of their properties. 30. **The convex surface of a cone is equal to the circumference of** its base, multiplied by half its slant height. 31. The convex surface of the frustum of a cone, is... | |
| Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...figure, are to each other as the sums of the rectangles of the sides adjacent to their extremities. 34. **The convex surface of a cone is equal to the circumference of** its base, multiplied by half its slant height 35. The convex surface of a frustum of a cone is equal... | |
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