—Having laid off on the circumference of the arc, the distances apart of the radii, as A, B, C, &c. ([Fig. 13]), from each of these points, with radius greater than a division, describe arcs cutting each other as at a, b, c, &c., join A a, B b, C c, &c., and the lines so drawn will be radii of the circle as required.

Fig. 14.

To construct an Oval, the width being given.

—Draw the line A B ([Fig. 14]) equal to the width, and bisect A B by C D (see [Fig. 1]). From the point of intersection E, with radius E A or E B, describe the circle A C B F, and from A and B through F, draw the lines A G and B H. From A, with radius A B, describe the arc B G, and from B, with the same radius, describe the arc A H; also from F, with radius F G or F H, describe the arc G D H, which will complete the required oval.

Fig. 15.

To construct a Square on a given line.

—Let A B ([Fig. 15]) be the given line. At A erect a perpendicular (see [Fig. 2]), and from A, with radius A B, describe an arc cutting the perpendicular in C; also from B and C, with the same radius, describe arcs cutting each other in D; join C D and B D, which will complete the required square.

Fig. 16.