Fig. 127.
Ex. 22.—To inscribe a pentagon in a circle, [Fig. 127]. Draw two diameters A C, B D at right angles cutting at O; bisect A O at E, and from B with radius B E cut the circumference at G H and with the same radius step round the circle to I and K; join the points to form the pentagon.
Fig. 128.
Ex. 23.—To construct a hexagon upon a given straight line, [Fig. 128]. From A and B, the ends of the given line, describe arcs cutting at G; from G with the radius G A describe a circle. With the same radius set off the arcs A C, C F and B D, D E; join the points so found to form the hexagon.
Fig. 129.
Ex. 24.—To inscribe a hexagon in a circle, [Fig. 129]. Draw a diameter A C B; from A and B as centers, with the radius of the circle A C cut the circumference at D, E, F, G, and draw A D, D E, etc., to form the hexagon. The points D E, etc., may be found by stepping the radius (with the dividers) six times round the circle.
