See also
Isogonal Conjugate,
Symmedian Point,
Symmedial Triangle,
Triangle
Centroid,
Triangle Median
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References
Casey, J. "Theory of Isogonal and Isotomic Points, and of Antiparallel and Symmedian Lines." Supp. Ch. §1 in A
Sequel to the First Six Books of the Elements of Euclid, Containing an Easy Introduction
to Modern Geometry with Numerous Examples, 5th ed., rev. enl. Dublin: Hodges,
Figgis, & Co., pp. 165-173, 1888.Coolidge, J. L. A
Treatise on the Geometry of the Circle and Sphere. New York: Chelsea, p. 65,
1971.Johnson, R. A. Modern
Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle.
Boston, MA: Houghton Mifflin, pp. 213-218, 1929.Lachlan, R. An
Elementary Treatise on Modern Pure Geometry. London: Macmillian, pp. 62-63,
1893.Mackay, J. S. "Symmedians of a Triangle and Their Concomitant
Circles." Proc. Edinburgh Math. Soc. 14, 37-103, 1896.Referenced
on Wolfram|Alpha
Symmedian
Cite this as:
Weisstein, Eric W. "Symmedian." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Symmedian.html
Subject classifications
,
, and 
which are isogonal
to the triangle medians 
, 
,
and 
of a triangle
are called the triangle's symmedian. The symmedians are concurrent in a point 
called the symmedian
point which is the isogonal conjugate of
the triangle centroid 
.
formed by the intersections of the symmedians with the sides of the reference
triangle is known as the symmedial triangle.
