411 REFERENCE · Wiktionary
Exeter point
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English
right|thumb|Construction of the Exeter point of a triangle
Etymology
Named for the Phillips Exeter Academy (in the town of Exeter, New Hampshire), where it was discovered during a computers-in-mathematics workshop in 1986.
Noun
en geometry given a triangle ΔABC whose medians intersect its circumcircle at {A, A’}, {B, B’} and {C, C’} and ΔDEF constructed from the tangent lines at A, B and C such that D, E and F are respectively opposite A, B and C The point of concurrence of the rays DA’, EB’ and FC’.
en 2015 Gerard Venema Just the Facts 101: Foundations of Geometry Cram101 Textbook Reviews https://books.google.com.au/books?id=NB4sBQAAQBAJ&pg=PT53&dq=%22Exeter+point%22%7C%22Exeter+points%22&hl=en&sa=X&ved=0ahUKEwiKysWFyvfNAhVCW5QKHcC8A_YQ6AEIQjAH#v=onepage&q=%22Exeter%20point%22%7C%22Exeter%20points%22&f=false unnumbered It [the Euler line] passes through the centroid, the Exeter point and the center of the nine-point circle of the triangle.
Usage notes
Designated X(22) in Clark Kimberling Clark Kimberling's online Encyclopedia of Triangle Centers.
Further reading
Exeter Point on MathWorld Wolfram MathWorld