 | Education - 1903 - 630 pages
...by twice the product of one of these sides and the projection of the other side upon it. 7. Prove : The area of a regular polygon is equal to one-half the product of its perimeter and apothem. 8. Describe a circle through two given points tangent to a given straight line.... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...each angle is equal to four right angles divided by the number of sides (Theorem I.) THEOREM LXX. 209. The area of a regular polygon is equal to one-half the product of its perimeter and apothem. Let a denote the apothem OF, and P the perimeter of the regular polygon ABCD... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...— X27tK. circumference -- 360^ " " " ' " ' ai ^ 360 central Z arc= PROPOSITION XII. THEOREM 446. The area of a regular polygon is equal to one-half the product of its perimeter by its apothem. * D Given the regular polygon ABCDE with area denoted by K, perimeter by... | |
 | George Clinton Shutts - 1905 - 260 pages
...regular polygons. To prove that — = - - = -- . SHS 2 NS 2 OAO 2 MO 2 PROPOSITION" VIII. 368. Theorem. The area of a regular polygon is equal to one-half the product of its perimeter and apothem. A .Let AD be a regular polygon, 0 N its apothem, and ABC, etc., its perimeter.... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...any regular polygon (741). One circle, and only one, may be inscribed in any regular polygon. 743. The area of a regular polygon is equal to one-half the product of its perimeter and its apothem OP (724, 740). 744. Two regular polygons having the same number of sides... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...homologous lines, and their areas are to each other as the squares of any two homologous lines. 67. The area of a regular polygon is equal to one-half the product of the perimeter and the apothem. Let / be the side MN of a regular polygon, Pis'. 42, n the number of... | |
 | Geometry, Plane - 1911 - 192 pages
...equivalent to a given square and having the sum of its base and altitude equal to a given line. 4. The area of a regular polygon is equal to one-half the product of its apothem and perimeter. the base of the triangle, and whose upper side terminates in the sides of the triangle.... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...squares of their apothems. The proof similar to that of § 405 is left to the pupil. 407. THEOREM. The area of a regular polygon is equal to one-half the product of its perimeter and apothem. Given a regular polygon AD, with area denoted by K, perimeter by p, and apothem... | |
 | Nels Johann Lennes, Frances Jenkins - Arithmetic - 1920 - 568 pages
...the polygon. Since the sum of the bases is the perimeter of the polygon, we have the following rule : The area of a regular polygon is equal to one-half the product of the perimeter and the apothem. The chief use of this rule is in connection with the area of the circle.... | |
 | Joseph Clifton Brown, Albert Clayton Eldredge - Arithmetic - 1924 - 346 pages
...is the sum of the areas of the triangles, lowing statement is true. Fig. 49 Explain why the folThe area of a regular polygon is equal to one-half the product of the perimeter and the apothem. Exercise 68 1. Find the area of a regular hexagon, one of whose sides... | |
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The area of a regular polygon is equal to onehalf the product of its apothem and perimeter. 
