Last Updated
：2025/12/01
Exeter point
Noun
Japanese Meaning
Exeter point（エクセター点）とは、与えられた三角形ABCに対して、各頂点から引かれる線（具体的には、重心を通り外接円と交わる点A', B', C'を結ぶ射線）が交わる一点を指します。 / Exeter pointは、三角形ABCの各頂点からの接線を基に構成された三角形DEFにおいて、頂点A, B, Cに対してそれぞれ反対側となるD, E, Fを結び、射線DA', EB', FC'が交わる共通の点として定義される特殊な点です。
（ plural ）
Quizzes for review
(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’.
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Exeter point
When the tangents at A, B, and C meet the medians' extensions at A', B', and C', the rays DA', EB' and FC' concur at the Exeter point.
See correct answer
When the tangents at A, B, and C meet the medians' extensions at A', B', and C', the rays DA', EB' and FC' concur at the Exeter point.
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