Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The area of a regular polygon is equal to half the product of its perimeter and apothem. "
An Elementary Geometry - Page 43
by William Frothingham Bradbury - 1872 - 110 pages
Full view - About this book

Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...EXERCISES 142. The radius drawn to any vertex of a regular polygon bisects the angle at the vertex. 143. The perimeters of regular polygons of the same number of sides are to each other as any two homologous sides. 144. Find the area of a square inscribed in a circle whose...
Full view - About this book

Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...inscribed in, any regular polygon. 431. Regular polygons of the same number of sides are similai. 433. The perimeters of regular polygons of the same number of sides are in the same ratio as their radii, or as their apothems. 434. The areas of regular polygons of the same...
Full view - About this book

Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...area of a regular polygon equals one half the product of the perimeter by the apothem. 315. COR. 2. The perimeters of regular polygons of the same number of sides are proportional to their sides, apothems, or radii. 316. COR. 3. The areas of regular polygons of the...
Full view - About this book

Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...its apothem. Theorem VIII. Two regular polygons of the same number of sides are similar. Corollary 1. The perimeters of regular polygons of the same number of sides are to each other as their apothems, as their radii, to their sides. Corollary %. The areas of regular...
Full view - About this book

Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...is the number of sides. nAB OM nA'B' O'M' , or using r, r' for the radii, and P, P for 431. COR. 3. The perimeters of regular polygons of the same number of sides are proportional to their apothem.i. For, the radius of the inscribed circle of a regular polygon is the...
Full view - About this book

Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...its apothem. Theorem VIII. Two regular polygons of the same number of sides are similar. Corollary 1. The perimeters of regular polygons of the same number of sides are to each other as their apothems, as their radii, to their sides. Corollary 2. The areas of regular...
Full view - About this book

Plane Geometry

Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...to the area of the circumscribed equilateral triangle is 1 to 4. 256 PROPOSITION VII. THEOREM 377. The perimeters of regular polygons of the same number of sides are to each other as the radii of the circumscribed circles, or as the radii of the inscribed circles....
Full view - About this book

The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 620 pages
...Admitting our principle, this proposition is included in that of art. 282. It is there demonstrated, that ' the perimeters of regular polygons of the same number of sides, are as the radii of their inscribed circles ; and their surfaces are as the squares of these same radii.'...
Full view - About this book




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