Spieker center

In geometry, the Spieker center is a special point associated with a plane triangle. It is defined as the center of mass of the perimeter of the triangle. The Spieker center of a triangle △ABC is the center of gravity of a homogeneous wire frame in the shape of △ABC.[1][2] The point is named in honor of the 19th-century German geometer Theodor Spieker.[3] The Spieker center is a triangle center and it is listed as the point X(10) in Clark Kimberling's Encyclopedia of Triangle Centers.

  1. ^ Honsberger, Ross (1995). Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Mathematical Association of America. pp. 3–4.
  2. ^ Kimberling, Clark. "Spieker center". Retrieved 5 May 2012.
  3. ^ Spieker, Theodor (1888). Lehrbuch der ebenen Geometrie. Potsdam, Germany.{{cite book}}: CS1 maint: location missing publisher (link)