Thursday, September 12, 2019

Exsymmedian

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[[File:Tangential triangle2.svg|thumb|upright=1.25|triangle ''ABC'' with red exsymmedians ''e<sub>a</sub>'', ''e<sub>b</sub>'', ''e<sub>c</sub>'', green symmedians ''s<sub>a</sub>'', ''s<sub>b</sub>'', ''s<sub>c</sub>'' and exsymmedian points ''D'', ''E'', ''F'']]
The '''exsymmedians''' are three lines associated with a [[triangle]]. More precisely for a given triangle the exsymmedians are the [[tangent|tangent lines]] on the triangle's [[circumcircle]] through the three vertices of the triangle. The triangle formed by the three exsymmedians is the [[tangential triangle]] and its vertices, that is the three intersections of the symmedians are called '''exsymmedian points'''.



== References ==
* Roger A. Johnson: ''Advanced Euclidean Geometry''. Dover 2007, ISBN 978-0-486-46237-0, pp. 214–215 (originally published 1929 with Houghton Mifflin Company (Boston) as ''Modern Geometry'').

[[Category:Triangle geometry]]


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