| Education - 1921 - 1190 pages
...Parallelograms or triangles of equal bases and altitudes are equal. 22. The perimeters of two regular **polygons of the same number of sides are to each other as** their radii and also as their apothems. SOLID GEOMETRY. In the following list the precise wording and... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...of sides are to each other as the squares of their sides. 535. Theorem. The perimeter of two regular **polygons of the same number of sides are to each other as** their radii or as their apothems. Given the regular polygons AB • • • and A'ff • • • of... | |
| Robert Remington Goff - 1922 - 136 pages
...similar polygons are to each other as any two corresponding sides. *2g1. The perimeters of two regular **polygons of the same number of sides are to each other as** their radii and as their apothems. 292. What is a Constant, a Variable, a Limit? What is the usual... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...A'O'. (303) But P:P' = AB:A'B' = AD:A'D'. (Why?) .'. P:P'— OD : O'D' = AO:A'o'. QED 417. COR. The **areas of regular polygons of the same number of sides are to each other as the squares** of their radii or apothems. Ex. 1315. The lines joining the mid-points of the radii of a regular pentagon... | |
| National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...Parallelograms or triangles of equal bases and equal altitudes are equal. 22. The perimeters of two regular **polygons of the same number of sides are to each other as** their radii and also as their apothems. Solid Geometry In the following list the precise wording and... | |
| David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...THEOREMS BOOK V Proposition 5. Perimeters of Regular Polygons 280. Theorem. The perimeters of two regular **polygons of the same number of sides are to each other as** their radii, and also as their apothems. A' M' B Given two regular polygons of n sides, with centers... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...the areas of the triangles is the area of the polygon. ... A = 437. Theorem. The areas of two regular **polygons of the same number of sides are to each other as the squares** of their radii, and also as the squares of their apothems. § 387 (2) EXERCISES 1. If r is the radius... | |
| Jacob William Albert Young - Mathematics - 1924 - 484 pages
...Parallelograms or triangles of equal bases and equal altitudes are equal. 22. The perimeters of two regular **polygons of the same number of sides are to each other as** their radii and also as their apot hems, Notes." I. The list I is typical, not exhaustive. 2. Concerning... | |
| Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...tangents are drawn at the points of division, a regular circumscribed polygon is formed. 11. Perimeters **of regular polygons of the same number of sides are to each other as** their apothems or their radii. "K Series" of propositions, depending on one or more of A, B, C, D,... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 296 pages
...^. Why? prh Write out the proof. 254. Corollary. — The areas of two regular polygons of the tame **number of sides are to each other as the squares of the radii,** or of the apothems. EXERCISES 1. Find the ratio of the perimeters and the ratio of the areas of two... | |
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