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" The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop. "
A Text-book of Geometry - Page 211
by George Albert Wentworth - 1888 - 386 pages
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Mathematics: Course of Study for Senior and Junior High Schools

Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...equals its perimeter by half its apothem. b. The area of a circle equals ?rr2 (informal proof only). 4. The perimeters of two regular polygons of the same number of sides are to each other as their radii, or as their apothems. The treatment of the mensuration of the circle should be based on...
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The Reorganization of Mathematics in Secondary Education (part I): A ..., Part 1

National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...segment. [68] 21. Parallelograms or triangles of equal bases and equal altitudes are equal. [74, cd] 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. [83] * SOLID GEOMETRY In the following list the precise wording...
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Examination Questions in Mathematics: Forth Series, 1916-1920

College Entrance Examination Board - Mathematics - 1920 - 108 pages
...hours [The question paper Mathematics CD, Plane and Solid Geometry, is printed on page 1.] 1. Prove: The perimeters of two regular polygons of the same number of sides are to each other as the radii or the apothems of the polygons. 2. Prove: In any circle the perpendicular to a radius at its outer...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...the sides of the polygons proportional ? 2. Are the polygons mutually equiangular ? 452. COROLLARY 1. The perimeters of two regular polygons of the same number of sides are to each other as any two homologous sides ; and the areas of tivo regular polygons of the same number of sides are to...
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