Also called the Triplicate-Ratio Circle. Draw lines through the Lemoine Point and parallel to the sides
of the triangle. The points where the parallel lines intersect the sides then lie on a Circle known as the Lemoine
circle. This circle has center at the Midpoint of , where is the Circumcenter. The circle has radius
The Cosine Circle is sometimes called the second Lemoine circle.
See also Cosine Circle, Lemoine Line, Lemoine Point, Tucker Circles
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA:
Houghton Mifflin, pp. 273-275, 1929.