Extend the symmedians of a triangle 
to meet the circumcircle
at 
,
,
.
Then the symmedian point 
of 
is also the symmedian
point of 
.
The triangles 
and 
are cosymmedian triangles, and have the same
Brocard circle, second Brocard
triangle, Brocard angle, Brocard
points, and circumcircle.
Cosymmedian Triangles
See also
Brocard Angle, Brocard Circle, Brocard Points, Brocard Triangles, Circumcircle, Comedian Triangles, Symmedian, Symmedian PointExplore with Wolfram|Alpha
References
Lachlan, R. An Elementary Treatise on Modern Pure Geometry. London: Macmillian, p. 63, 1893.Referenced on Wolfram|Alpha
Cosymmedian TrianglesCite this as:
Weisstein, Eric W. "Cosymmedian Triangles." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CosymmedianTriangles.html