Sketches D, F, and G show circles divided into sixths, by setting off the radius six times on the circumference, and drawing diameters connecting these points.
Sketch E shows a circle divided into thirds. Set off the radius six times on the circumference; draw a radius from every other point.
Draw concentric circles, and divide them into halves, fourths, thirds, and sixths.
Some Divisions of Square Spaces.
A square is said to be on its diameters when one of its diameters is vertical and the other horizontal; it is said to be on its diagonals when the diagonals are in this position. Sketch A shows the larger square on its diameters and the small inner square on its diagonals.
To draw a square on its diameters, place your test square to locate the lower left corner of the square, and draw the two sides at right angles, extending the lines to the desired length. Use your test square in drawing all other corners of your square. For the diameters, bisect each side and connect the points of bisection. For a design plan like Sketch A, bisect the semi-diameters and connect these points. Diameters of a square bisect opposite sides; diagonals bisect opposite angles.
In Sketch B, each side is quadrisected, or divided into fourths, and the opposite points connected. This division of a square may be used for a decorative plan in a number of ways, one of which is shown in the sketch.