Plane and solid geometry . Ex. 957. Find x =^^, where a, h, c, and d represent given lines. d^ Hint. Here a; =— • -• Let—=y and construct y. Then construct x,d d d Ex. 958. Transform any given triangle into an equilateral triangleby a method different from that used in Ex. 805. Analysis. Call the base of the given triani^^le h and its altitude X = the side of the required ecjuilateral triangle. Then -\/S = -bh, .-. i 6 : a: = x 2 BOOK V REGULAR POLYGONS. MEASUREMENT OF THE CIRCLE 515. Def. A regular polygon is one which, is both equilateralaud equiangular. Ex. 959. Draw an equila
Plane and solid geometry . Ex. 957. Find x =^^, where a, h, c, and d represent given lines. d^ Hint. Here a; =— • -• Let—=y and construct y. Then construct x,d d d Ex. 958. Transform any given triangle into an equilateral triangleby a method different from that used in Ex. 805. Analysis. Call the base of the given triani^^le h and its altitude X = the side of the required ecjuilateral triangle. Then -\/S = -bh, .-. i 6 : a: = x 2 BOOK V REGULAR POLYGONS. MEASUREMENT OF THE CIRCLE 515. Def. A regular polygon is one which, is both equilateralaud equiangular. Ex. 959. Draw an equilateral triangle. Is it a regular polygon ? Ex. 960. Draw a quadrilateral that is equilateral but not equiangular;equiangular but not equilateral; neither equilateral nor equiangular; bothequilateral and equiangular. Which of these quadrilaterals is a regularpolygon ? Ex. 961. Find the number of degrees in an angle of a regular do-decasron. 516. Historical Note. The following theorem presupposes the pos*sibility of d
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