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Function: model
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Function: getFloatingMyInfo
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Function: get_footer
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Function: require_once
수학동아 - 폴리매스
비우스
2022.05.14 03:45
조회 379
https://ko.m.wikipedia.org/wiki/%EA%B0%81%EC%9D%98_3%EB%93%B1%EB%B6%84
반례가 있는데도 왜 각의 삼등분을 3대 작도 불능 문제에 포함시키는 건가요?
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수학동아
Lv.8
2022.05.15 04:48
작도 불능 문제는 임의의 각에 관한 겁니다. 정삼각형으로 60도 작도하고 그걸 4등분해 15도로 만든 후 7개 이어붙인 뒤 정오각형의 108도에서 빼면 3도가 나오기 때문에 9의 배수는 다 3등분됩니다.
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뫼비우스 친구에게,
우리가 흔히 말하는 "작도"는 눈금 없는 자와 컴퍼스만을 이용하여 얻을 수 있는 그림에 대한 문제입니다. 위키피디아에 올라온 방법들은 이 문제 조건 자체를 바꿔서 (종이접기, 눈금 있는 자 등을 이용해서) 각의 삼등분을 해결한 것이기 때문에 반례는 아닙니다.
각의 3등분을 왜 작도할 수 없는지 알고 싶다면, 작도 가능한 수에 대해서 더 읽어보기를 추천합니다! 다른 질문이 있으면 또 남겨주세요^^
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