Taking the locus of Midpoints from a fixed point to a circle of radius results in a circle of radius . This follows trivially from

**References**

Johnson, R. A. *Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle.* Boston, MA:
Houghton Mifflin, p. 17, 1929.

© 1996-9

1999-05-26