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Books Books 1 - 9 of 9 on its radius the mean proportional between the side of the cone and the radius of the....  
" its radius the mean proportional between the side of the cone and the radius of the circle of the base "
Reflexions on the Metaphysical Principles of the Infinitesimal Analysis - Page 73
by Lazare Carnot - 1832 - 132 pages
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An Elementary Treatise on the Differential and Integral Calculus, Volume 25

Silvestre François Lacroix - Calculus - 1816 - 720 pages
...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 of one of its great circles,...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819
...the other focus. 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. io. An I»" 1 ) part of a hollow paraboloid with its vertex downwards is...
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New series of The mathematical repository, Volume 4

Thomas Leybourn - Mathematics - 1819
...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. . i¿. Compare the absolute forces in the centre and circumference of a...
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First Principles of the Differential and Integral Calculus: Or The Doctrine ...

Etienne Bézout - Calculus - 1836 - 195 pages
...Archimedes demonstrated that the convex surface of a right cone is equal to a circle which has for its radius the mean proportional between the side of the cone and the radius of the base, that the whole surface of a sphere is equal to that of four of its great circles, and that the...
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First Principles of the Differential and Integral Calculus: Or The Doctrine ...

Etienne Bézout - Calculus - 1836 - 195 pages
...Archimedes demonstrated that the convex surface of a right cone is equal to a circle which has for its radius the mean proportional between the side of the cone and the radius of the base, that the whole surface of a sphere is equal to that of four of its great circles, and that the...
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THE PHILOSOPHY OF MATHEMATICS WITH SPECIAL REFERENCE TO THE ELEMENTS OF ...

ALBERT TAYLOR BLEDSOE, A.M., LL.D. - 1886
...demonstrated that the convex surface of a right cone is equal to the area of the circle which has for a radius the mean proportional between the side of the cone and the radius of the circle of the base ; that the total area of the sphere is equal to four great circles; and that the surface of any zone...
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The Works of Archimedes

Archimedes - Geometry - 1897 - 326 pages
...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 follows....
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THE WORKS OF ARCHIMEDES

T. L. HEATH - 1897
...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 follows....
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The Works of Archimedes

Archimedes - Mathematics - 2002 - 377 pages
...the radius oft/me 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 follows....
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