| Michigan. Department of Public Instruction - Education - 1896 - 718 pages
...radius draw a circle tangent to the sides of a given angle. Demonstrate the solution. 7. Demonstrate: **The areas of similar polygons are to each other as the squares** of any two homologous sides of the polygons. 8. Define a plane. What determines the position of a plane?... | |
| International Correspondence Schools - Surveying - 1898 - 518 pages
...1,600 : area of DEF, or 6,400 : 2,500 :: 1,600 : 025 sq. ft. Hence, area of DE F.vs, 025 sq. ft. 1189. **The areas of similar polygons are to each other as the squares** of their homologous sides. Thus, if the area of a regular hexagon with a side of 10 inches is 250.809... | |
| William Taylor Campbell - Geometry - 1899 - 264 pages
...sides makes the area of the polygon four times as great; and so on. This is expressed by saying that " **the areas of similar polygons are to each other as the squares** of any two corresponding sides." The square of a number is the number multiplied by itself; thus the... | |
| International Correspondence Schools - Civil engineering - 1899 - 798 pages
...1,600 : area of DE F, or 6,400 : 2,500 :: 1,600 : 625 sq. ft. Hence, area of DE Fis 625 sq. ft. 1189. **The areas of similar polygons are to each other as the squares** of their homologous sides. Thus, if the area of a regular hexagon with a side of 10 inches is 259.809... | |
| International Correspondence Schools - Civil engineering - 1899
...1,600 : area of DEF, or 6,400 : 2,500 :: 1,600 : 625 sq. ft. Hence, area of DEF is 625 sq. ft. 1 189. **The areas of similar polygons are to each other as the squares** of their homologous sides. Thus, if the area of a regular hexagon with a side of 1(1 inches is 259.809... | |
| International Correspondence Schools - Cartography - 1903 - 846 pages
...1,600 : area of DEF, or 6,400 : 2,500 :: 1,600 : 625 sq. ft. Hence, area of DEF is 625 sq. ft. 1189. **The areas of similar polygons are to each other as the squares** of their homologous sides. Thus, if the area of a regular hexagon with a side of 10 inches is 259.809... | |
| Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 364 pages
...showing the multipliers of the ten regular polygons, when the sides of each are equal to 1: Now, since **the areas of similar polygons are to each other as the squares** of their homologous sides, if the square of a side of a polygon be multiplied by the multiplier of... | |
| George William Myers - Mathematics - 1910 - 304 pages
...£=£. (Why?) See §128. Therefore -•-. QED FIG. 277 Areas of Polygons PROPOSITION IX 247. Theorem: **The areas of similar polygons are to each other as the squares** of the homologous sides. Hypothesis: Polygon ABC .... ^polygon A'B'C'. . . . (Fig. 278). Let P denote... | |
| Frederick Thomas Hodgson - 1917 - 716 pages
...showing the multipliers of the ten regular polygons, when the sides of each are equal to 1: Now, since **the areas of similar polygons are to each other as the squares** of their homologous sides, if the square of a side of a polygon be multiplied by the multiplier of... | |
| Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...the hypothenuse and a side of the one are proportional to the hypothenuse and a side of the other. 5. **The areas of similar polygons are to each other as the squares** of any two homologous sides. 6. The area of a circle is equal to one-half the product of its radius... | |
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