Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R "
Plane Geometry - Page 241
by Edith Long, William Charles Brenke - 1916 - 276 pages
Full view - About this book

Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...-^T«jo similar polygons are to each other as the squares of their homologous sides — . r 2. — Two circles are to each other as the squares of their radii or diameters — . <t 3. — The surfaces of two spheres are to each other as the squares of their...
Full view - About this book

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 pages
...ABD. 33. The areas of circles are to each other as the squares described on their diameters : that is, the areas of two circles are to each other as the squares described on the diametres AB and CD. 39. If from any point of the circumference of a circle, a line...
Full view - About this book

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...or as their radii. 3. The area of a circle is IT multiplied by the square of the radius. Hence, any two circles are to each other as the squares of their radii, or as the squares of their diameters, or generally as the squares of any two homologous lines. 4. The...
Full view - About this book

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...conversely, if the area is divided by .785398, the quotient will be the square of the diameter. 5. The areas of two circles are to each other as the squares of their radii, diameters or circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled...
Full view - About this book

The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 352 pages
...hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 1. The two sides of a right-angled triangle are 3 and 4 feet; what is...
Full view - About this book

The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...examples of this class relating to circles, may be solved by means of the following property : — The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. NOTE. — This property of the circle is only a particular case of a...
Full view - About this book

The Mathematical Monthly, Volume 2

John Daniel Runkle - Mathematics - 1860 - 590 pages
...centre, and radius СЖ, describe a circle ; then, as is easily seen, (1) CAZ : CE* =2:1. But since the areas of two circles are to each other as the squares of their radii, it follows from (1) that the area of the circle С К is half the circle С A. In precisely the same...
Full view - About this book

Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...multiplied by 3.14159. Cor. 2. The diameter is equal to the circumference divided by 3.14159. THEOREM XVI. The areas of two circles are to each other as the squares of their diameters. The same construction being used as in the last theorem, it may be shown as before,...
Full view - About this book

Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...square of the radius multiplied by the ratio of the circumference to the diameter. 9O1. Corollary. — The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary — When the radius is unity, the area is expressed...
Full view - About this book

The Common School Arithmetic ...

James Stewart Eaton - Arithmetic - 1868 - 356 pages
...conversely, if the area is divided by .785398, the quotient will be the square of the diameter. 10. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 376. Of an equilateral triangle? Of the perpendicular drawn from the...
Full view - About this book




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