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http://dx.doi.org/10.7858/eamj.2010.26.2.267

삼각형에서 n제곱 직선의 작도 방법에 대한 연구  

Kim, Ji-Hoon (Ulsan Science High School)
Cho, Seong-Hun (Ulsan Science High School)
Lee, Dong-Chan (Ulsan Science High School)
An, Seung-Min (Ulsan Science High School)
Lee, Seong-Hyun (Ulsan Science High School)
Han, In-Ki (Gyeongsang National University)
Publication Information
Abstract
In this paper we study construction methods of $n^{th}$ line in triangle. Russian Mathematician Zetel suggested some construction methods of $n^{th}$ line in triangle 80 years ago. We find Zetel's papers, in detail explain the Zetel's construction methods, and suggest two elementary construction methods. Our results are received in the process of Research and Education program in science high school.
Keywords
$n^{th}$ line; triangle; construction method;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 도종훈, 평면도형 탐구의 기본 요소로서 삼각형의 재조명, 수학교육 46권 4호 (2007), pp.493-502.
2 유익승, 한인기, 신현용, 삼각형의 높이와 방접원의 개념유추에 대한 연구, 수학교육논문집 20권 1호 (2006), pp.9-18.
3 한인기, 오성주, 삼각형 방심의 계량적 성질에 대한 연구, 수학교육논문집 23권 4호 (2009), pp.1059-1078.   과학기술학회마을
4 Delibash D.A., O vychislenii dliny pryamoi n, Matematicheskoe Prosveshenie No 11 (1937), pp.5-8.
5 Zetel S. O., delenii storon treugolika proportsionalno nth stetenyam prilezashih storon, Matematicheskoe Prosveshenie No6 (1936), pp.5-8.
6 Zetel S. O., delenii storon treugolika proportsionalno nth stetenyam prilezashih storon, Matematicheskoe Prosveshenie No1(1934), pp.6-9.
7 Zetel S. O., postroeniiisvoistvah nekotoryh Tsevian, Matematicheskoe Obrazovanie No2-3 (1929), pp.66-70.