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

Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...circle is the same as the perpendicular let fall from the centre upon one of the sides. THEOREM. 282. The perimeters of regular polygons of the same number of sides are as the radii of the circumscribed circles, and also as the radii of Hie inscribed circles ; and their...
Full view - About this book

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...circle is the same as the perpendicular let fall from the centre upon one of the sides. THEOREM. 282. The perimeters of regular polygons of the same number of sides are as the radii of the circumscribed circles, and also as the radii of the inscribed circles ; and their...
Full view - About this book

The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 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

The North American Review, Volume 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1828 - 598 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

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

Timothy Walker - Geometry - 1829 - 138 pages
...given of a curved line (10) namely, that it is made up of infinitely small straight lines. 95. — The perimeters of regular polygons of the same number of sides are to each other as the radii of their circumscribed circles — . By the perimeter of a polygon we mean...
Full view - About this book

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...the angle ABC= A'B'C. Hence, by art. 198, OP : OP' = AB : A'B' = OA : O'A'. 233. Corollary. Hence, the perimeters of regular polygons of the same number of sides are, by art. 207, The Ratio of a Circumference to its Diameter. to each other' as the radii of their inscribed...
Full view - About this book

Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...circle is the same as the perpendicular let fall from the centre upon one of the sides. THEOREM. 282. The perimeters of regular polygons of the same number of sides are as the radii of the circumscribed circles, and also as tlie radii of the inscribed circles ; and their...
Full view - About this book

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...OA : O'A'. . ' ' ..'* <*• The Ratio of a Circumference to its Diameter. 233. Corollary. Hence, the perimeters of regular polygons of the same number of sides are, by 207, to each other as the radii of their inscribed circles, and also as the radii of their circumscribed...
Full view - About this book

Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...AD, AE, AF indefinitely, and in AB produced take Ab equal to G, and proceed as before. 91. PROP. VI. The perimeters of regular polygons of the same number of sides are proportional to the radii of their inscribed or circumscribing circles ; and their areas are proportional...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...or CD : C'D', etc. Therefore the polygons fulfill the two conditions of similarity. 10. Corollary. 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




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