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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. Swing an arc from C with the divider set to C'

2. Divide on side of the base of the arc into five equal divisions

3. On the same side divide the arc into five divisions

4. Connect each corresponding marker

5. Create five equal divisions between AC and CB; erect a perpendicular at each point

6. Transfer the length of the four segments in the arc to the corresponding four perpendiculars on the baseline between A and C; repeat for the perpendiculars between C and B using the same heights

7. Using a batten draw a curve through each of the intersections to complete the expansion