Last Updated
：2025/12/05
Pasch's theorem
Proper noun
Japanese Meaning
(平面幾何学における定理) パッシュの定理：直線上の4点 a, b, c, d が、(a, b, c) および (b, c, d) の順に並んでいるとき、(a, b, d) が成り立つという結果。なお、この定理はユークリッドの公理からは導かれないものとして知られる。
Quizzes for review
(geometry) A result in plane geometry which cannot be derived from Euclid's postulates. It states that, given points a, b, c, and d on a line, if it is known that the points are ordered as (a, b, c) and (b, c, d), then it is also true that (a, b, d).
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Pasch's theorem
During the seminar, we examined Pasch's theorem and worked through several examples to understand how it constrains the ordering of points on a line.
See correct answer
During the seminar, we examined Pasch's theorem and worked through several examples to understand how it constrains the ordering of points on a line.
音声機能が動作しない場合はこちらをご確認ください
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