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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 131 - 146 (16page)
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초록· 키워드
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The isoperimetric problem is a well-known optimization problem from ancient Greek. Among plane figures with the same perimeter, which is the largest area surrounded? The answer to the question is circle. Zenodorus and Steiner's pure geometric proofs, which left a lot of achievements in this matter, looked beautiful with ideas at that time. But there was a fatal flaw in the proof. The weakness is related to the existence of the solution. In this paper, from a view of the existence of the solution, we investigate proofs of Zenodorus and Steiner and get educational implications.
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참고문헌 (19)
참고문헌 신청
우정호 / 2006 / 수학 학습-지도 원리와 방법 / 서울대학교출판부
최근배 / 2011 / 초등 영재 교수․학습을 위한 평면에서의 등주문제 내용구성 연구 - 기하적인 방법을 중심으로 - / 수학교육 50(4):441~466
Anton, H. / 1981 / Elementary linear algebra / John Wiley & Sons, Inc
Blasjo, V / 2005 / The Evolution of the Isoperimetric Problem / The American Mathematical Monthly 112:526~566
Edler, F / 1882 / Vervollständigung der Steinerschen elementargeometrischen Beweise für den Satz, daß der Kreis grösseren Flächeninhalt besitzt, als jede andere ebene Figur gleich grossen Umfanges, Nachrichten von der Königl / Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen :73~80
최근배 / 2011 / 초등 영재 교수․학습을 위한 평면에서의 등주문제 내용구성 연구 - 기하적인 방법을 중심으로 - / 수학교육 50(4):441~466
Anton, H. / 1981 / Elementary linear algebra / John Wiley & Sons, Inc
Blasjo, V / 2005 / The Evolution of the Isoperimetric Problem / The American Mathematical Monthly 112:526~566
Edler, F / 1882 / Vervollständigung der Steinerschen elementargeometrischen Beweise für den Satz, daß der Kreis grösseren Flächeninhalt besitzt, als jede andere ebene Figur gleich grossen Umfanges, Nachrichten von der Königl / Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen :73~80
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