| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
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