 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...6 feet ; how far does the wheel roll on the track in one revolution ? PROPOSITION XI. THEOREM 471. The area of a regular polygon is equal to one-half the product of its apothem and perimeter. D GIVEN — a regular polygon ABCDE, R its apothem, and P its perimeter. To PROVE area... | |
 | Silas Ellsworth Coleman - Arithmetic - 1897 - 178 pages
...= Since the area of the polygon is the sum of the areas of these equal triangles, it follows that: The area of a regular polygon is equal to one-half the product of its perimeter (jp) and apothem (a). EXAMPLES 48 1. Find the area of a trapezoid whose bases are 23 ffc.... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...the squares of their radii, or as the squares of their apothems. <• c PROP. VI. THEOREM. "^ ^ 350. The, area of a regular polygon is equal to one-half the product of its perimeter and apothem. D A ff B Given the perimeter equal to P, and the apothem OF equal to r, of regular... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...number of sides are to each other as any two homologous sides or lines. PROPOSITION III. THEOREM. 292. The area of a regular polygon is equal to one-half the product of its perimeter and apothem. Let r denote the apothem OF, and P the perimeter of the regular polygon ABCDE.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...other as the squares of their radii, or as the squares of their apothems. PROP. VI. THEOREM. 350. Tlie area of a regular polygon is equal to one-half the product of its perimeter and apothem. D A 1f D Given the perimeter equal to P, and the apothem OF equal to r, of regular... | |
 | Arthur Schultze - 1901 - 260 pages
...Ex. 950. Draw three circumferences which are to each other as 4 : 5:6. PROPOSITION XV. THEOREM 417. The area of a regular polygon is equal to onehalf the product of its apothem and perimeter. Hyp. S is the area, P the perimeter, and R the apothem of the polygon ABCDE, having... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...Ex. 950. Draw three circumferences which are to each other as 4 : 5:6. PROPOSITION XV. THEOREM 417. The area of a regular polygon is equal to onehalf the product of its apothem and perimeter. Hyp. S is the area, P the perimeter, and R the apothem of the polygon ABCDE, having... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...Ex. 950. Draw three circumferences which are to each other as 4 : 5 : 6. PROPOSITION XV. THEOREM 417. The area of a regular polygon is equal to onehalf the product of its apothem and perimeter. Hyp. S is the area, P the perimeter, and R the apothem of the polygon ABCDE, having... | |
 | Frank Joseph Schneck - Business mathematics - 1902 - 312 pages
...of a regular polygon is equal to one-half the product of its perimeter and apothem. Principle. — The area of a regular polygon is equal to onehalf the product of its perimeter and apothem. PROBLEMS 1. Find the area of a regular hexagon whose sides are 5 ft. and whose... | |
 | Frank Joseph Schneck - Business mathematics - 1902 - 288 pages
...of a regular polygon is equal to one-half the product of its perimeter and apothem. Principle.—The area of a regular polygon is equal to onehalf the product of its perimeter and apothem. PROBLEMS 1. Find the area of a regular hexagon whose sides are 5 ft. and whose... | |
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The area of a regular polygon is equal to onehalf the product of its apothem and perimeter. 
