Straightedge and Compass

Euclid Postulate 1, 2, and 3.

1. To draw a straight line from any point to any point.
2. To produce a finite straight line continuously in a straight line.
3. To describe a circle with any center and distance.

Change the language of the postulates so that they do not suggest a straightedge and compass. Create a formal system for the postulates.

Don't forget the straightedge and compass. The straightedge and compass in the mind are as useful for creating proofs as the straightedge and compass in the hand, or the formal system.