A quantitative measure of the simplicity of a Geometric Construction which reduces geometric constructions to five steps. It was devised by È. Lemoine.

- Place a Straightedge's Edge through a given Point,
- Draw a straight Line,
- Place a Point of a Compass on a given Point,
- Place a Point of a Compass on an indeterminate Point on a Line,
- Draw a Circle.

**References**

De Temple, D. W. ``Carlyle Circles and the Lemoine Simplicity of Polygonal Constructions.'' *Amer. Math. Monthly*
**98**, 97-108, 1991.

Eves, H. *An Introduction to the History of Mathematics, 6th ed.* New York: Holt, Rinehart, and Winston, 1990.

© 1996-9

1999-05-25