Three-points Circle

How to construct a circle passing through three given points (not on one line)?

1. Start with the given points.

2. Choose two points and draw the connecting line in between. Repeat this for two other points.

3. Construct the perpendicular bisectors of lines 2. These lines must intersect.

4. Construct a circle centered at the intersection of lines 3, passing through one of the given points.

5. Circle 4 is the circle to be constructed, it passes through the three given points. The three points (if not on one line) determine the circle completely.


Copyright © 2010, Zef Damen, The Netherlands