논문KCI 등재
Pascal's hexagon theorem reproved by elementary tools only
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we prove Pascal's hexagon theorem by elementary tools only. We follow the well-known route to prove the theorem by Bez\'{o}ut's theorem, explaining all the details in elementary argument. In particular, we prove a toy version of Study's lemma.
Abstract
In this paper, we prove Pascal's hexagon theorem by elementary tools only. We follow the well-known route to prove the theorem by Bez\'{o}ut's theorem, explaining all the details in elementary argument. In particular, we prove a toy version of Study's lemma.
참고문헌 (7)
- R. Bix, "Conics and Cubics" (1998), Springer-Verlag
- W. Fulton, "Algebraic curves. An Introduction to Algebraic Geometry" (1969), W. A. Benjamin, Inc
- H. W. Guggenheimer, "Plane Geometry and Its Groups" (1967), Holden-Day, Inc
- I. R. Shafarevich, "Basic Algebraic Geometry 1" (2013), Springer
- J. H. Silverman, "Rational Points on Elliptic Curves" (1992), Springer-Verlag
- Nedeljko Stefanović, "A very simple proof of Pascal’s hexagon theorem and some applications", Proceedings - Mathematical Sciences, 120(5), pp.619~629 (2010), Springer Science and Business Media LLC[DOI]
관련 논문AI추천
Some Characterizations of Parabolas김동수, 김영호, 박종호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호Area of triangles associated with a curve김동수, 심규철대한수학회 · 대한수학회보2014 · 제51권 제3호Generalized Varignon's and medial triangle theoremsFrancesco Laudano대한수학회 · 대한수학회논문집2023 · 제38권 제2호Some characterizations of conics and hypersurfaces with centrally symmetric hyperplane sections김동서, 김동수, 김원용, 방신옥대한수학회 · 대한수학회논문집2024 · 제39권 제1호Area of triangles associated with a curve II김동수, 김영호, Dae Heui Park, Wonyong Kim대한수학회 · 대한수학회보2015 · 제52권 제1호Some line and conic arrangements and their Waldschmidt constantsDinh Tuan Huynh, Le Ngoc Long, Tran N. K. Linh대한수학회 · 대한수학회지2025 · 제62권 제6호
이 간행물의 다른 논문 (20건)
Jordan $\mathcal{G}_n$-derivations on path algebrasAbderrahim Adrabi, Driss Bennis, Brahim Fahidpp. 957-967The independence and independent dominating numbers of the total graph of a finite commutative ringBaha' Abughazaleh, Omar AbedRabbu Abughneimpp. 969-975Generalized Padovan sequencesJhon J. Bravo, Jose L. Herrerapp. 977-988Properties of functions with bounded rotation associated with lima\c{c}on classAfis Saliu, Kanwal Jabeenpp. 995-1007On the semi-local convergence of contraharmonic-mean Newton's method (CHMN)Ioannis K. Argyros, Manoj Kumar Singhpp. 1009-1023