英和和英

語源

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.

名詞

Exeter point ‎(複数形 Exeter points)

1. (geometry, given a triangle ΔABC whose medians intersect its circumcircle at {A, A’}, {B, B’} かつ {C, C’} かつ ΔDEF constructed from the tangent lines at A, B かつ C such that D, E かつ F are respectively opposite A, B かつ C) The point of concurrence of the rays DA’, EB’ and FC’.
   • 2015, Gerard Venema, Just the Facts 101: Foundations of Geometry, Cram101 Textbook Reviews, unnumbered page,

     It ^{[the Euler line]} passes through the centroid, the Exeter point and the center of the nine-point circle of the triangle.

使用する際の注意点

Designated X(22) in Clark Kimberling's online Encyclopedia of Triangle Centers.

外部リンク

• Exeter Point on Wolfram MathWorld