Plane And Solid Geometry. Teachers' Ed.

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Ex. 454. Every equiangular polygon circumscribed about a circle is regular.
Ex. 455. The side of a circumscribed equUateral triangle is equal to twice the side of the similar inscribed triangle.
Ex. 456. The apothem of an inscribed regular hexagon is equal to half the side of the inscribed equilateral triangle.
Ex. 457. The area of an iuscribed regular hexagon U three fourths of the area of the circumscribed regular hexagon.
Ex. 458. The area of an inscribed regular hexagon is the mean propor-
...tional between the areas of the inscribed and the circumscribed equilateral triangles.
Ex. 459. The square of the side of an inscribed equilateral triangle is equal to three times the square of a side of the inscribed regular hexagon.
Ex. 460. The area of an inscribed equilateral triangle is equal to half the area of the inscribed regular hexagon.
Ex. 461. The square of the side of an inscribed equilateral triangle is equal to the sum of the squares of the sides of the inscribed square and of the inscribed regular hexagon.


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