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From the feet of each Altitude of a Triangle, draw lines Perpendicular to the adjacent sides. Then the feet of these perpendiculars lie on a Circle called the Taylor Circle.
See also Tucker Circles
References
Johnson, R. A.  Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle.  Boston, MA:
  Houghton Mifflin, p. 277, 1929.