| Colin Maclaurin - Calculus - 1742 - 482 pages
...is upon the leffer arch fubtended by the chord AB, the fum of the iurfates defcribed by AE and ae is equal to the area of a circle whofe radius is a mean proportional betwixt 2VK and 2AR, or betwixt the diameter and 2AD; but when E is betwixt A and, L, the ium of the... | |
| Thomas Malton - 1774 - 484 pages
...fimilat Cylinders have that Ratio between them; which is duplicate of their Diameters. THEOREM XI. A Circle, whofe Radius is a mean Proportional between the Side of- a Right Cone and the Radius of the Bafe, is equal to the Superficies of the Cone. Let ABD be a Right... | |
| Silvestre François Lacroix - Calculus - 1816 - 750 pages
...Archimedes demonstrated that the convex surface of a right cone is equal to the area of a circle, whose radius is a mean proportional between^ the side of the cone, and the radius of the circle, which, constitutes its base: that the surface of a sphere ^quadruple the area... | |
| Thomas Leybourn - Mathematics - 1819 - 430 pages
...cosine is a maximum. 14. The radius of a circle whose area is equal to the surface of a given cone is a mean proportional between the side of the cone and the radius of its base. Required a proof. 15. Compare the absolute forces in the centre and circumference... | |
| Mathematics - 1821 - 464 pages
...cosine is a maximum. 14. The radius of a circle whose area is equal to the surface of a given cone is a mean proportional between the side of the cone and the radius of its base. Required a proof. 15. Compare the absolute forces in the centre and circumference... | |
| 1822 - 206 pages
...Question No. 26, by Mr. J. The convex superficies of a right cone is equal to the area of a circle whose radius is a mean proportional between the side of the cone and the radius of the base : — -Required a demonstration. K5- n't bey to call the attention of our Mathematical... | |
| Archimedes - Geometry - 1897 - 524 pages
...cone has to the radius of the base. By Prop. 14, the surface of the cone is equal to a circle whose radius is a mean proportional between the side of the cone and the radius of the base. Hence, since circles are to one another as the squares of their radii, the proposition... | |
| Arhimēdēs - 2004 - 522 pages
...cone has to the radius of the base. By Prop. 14, the surface of the cone is equal to a circle whose radius is a mean proportional between the side of the cone and the radius of the base. Hence, since circles are to one another as the squares of their radii, the proposition... | |
| University of Cambridge - Universities and colleges - 1815 - 344 pages
...cosine is a maximum. . . T4. The radius of a circle whose area is equal to tffe surface of a given cone is a mean .proportional between the side of the cone and the radius of its base. Required a proof. \S. Compare the absolute forces in the centre and circumference... | |
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