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- 3.2.39 Bisection
- 3.2.40 Equal Divisions
- 3.2.41 Divisions to a ratio
- 3.2.42 Perpendicular from a line point
- 3.2.43 Perpendicular from a point above a line
- 3.2.44 Forty-five degree angle from a line point
- 3.2.45 Bisected angle
- 3.2.46 Trisected angle
- 3.3.48 Erection of a square
- 3.3.49 Alternative erection of a square
- 3.3.50 Harmonic expansion of a rectangle
- 3.3.52 Geometric expansion of a rectangle
- 3.3.54 Erection of an equilateral triangle
- 3.3.55 Polygon generation
- 3.3.56 Hexagon generation

- 3.3.57 Octagon from segmentation of a circle
- 3.3.58 Octagon as the truncation of a square
- 3.4.60 Expansion from circle to arc
- 3.4.61 Arc to chord construction
- 3.4.62 Finding arc's focal point
- 3.4.64 Gothic arc construction
- 3.4.66 Lancet arc construction
- 3.4.68 Semi-ellipse station point generation
- 3.4.69 Elliptical arch generation from circles
- 3.4.70 Elliptical arch generation from melded circles
- 3.4.72 Volute generated from a gridwork of focal points
- 3.5.76 Sine curve generation
- 3.5.78 Truncated quadrant
- 3.5.79 Elliptical curve

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1. Erect a perpendicular at the center of the circle

2. Set the divider to the radius of the circle

3. Swing at the four intersections of the circle with the baseline and perpendicular

4. Connect the opposing intersections

5. Connect each lines intersection with the circle to complete the octagon