Constructions with the Compasses Alone

1. Construct the inverse of an exterior point of a circle.

2. Find the center of a circle with the circumference given.

3. Construct the lemniscate.

4. Construct the hyperbola and the ellipse by taking the inversion.

5. Construct the cardioid.

6. Construct the parabola by taking the inversion.

7. Construct the cardioid together with its evolute (involute).

8. Construct the Nephroid and its evolute.

9. Construct the Peaucellier's Cell.

10. Given two concentric circles, construct the end points of the segment on the larger circle which is tangent at a given point on the smaller circle.

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See also