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Schoute Coaxal System


The circumcircle, Brocard circle, Lemoine axis, and isodynamic points belong to a coaxal system orthogonal to the Apollonius circles, called the Schoute coaxal system. In general, there are 12 points whose pedal triangles with regard to a given triangle have a given form. They lie six by six on two circles of the Schoute coaxal system.


See also

Apollonius Circle, Brocard Circle, Circumcircle, Coaxal System, Isodynamic Points, Lemoine Axis, Schoute's Theorem

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References

Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 297-299, 1929.

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Schoute Coaxal System

Cite this as:

Weisstein, Eric W. "Schoute Coaxal System." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchouteCoaxalSystem.html

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