Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" Proposition 15. The surface of any isosceles cone has the same ratio to its base as the side of the 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... "
The Usefulness of Mathematical Learning Explained and Demonstrated: Being ... - Page 225
by Isaac Barrow - 1734 - 440 pages
Full view - About this book

A treatise of fluxions, Volume 1

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...
Full view - About this book

A Royal Road to Geometry: Or, an Easy and Familiar Introduction to 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...
Full view - About this book

An Elementary Treatise on the Differential and Integral Calculus, Volume 25

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...
Full view - About this book

New Series of The Mathematical Repository, Volume 4

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...
Full view - About this book

Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

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...
Full view - About this book

The Manchester iris, Volume 1, Issues 1-23

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...
Full view - About this book

The Works of Archimedes

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...
Full view - About this book

the works of archimedes

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...
Limited preview - About this book

The Cambridge University Calendar

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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF