한국수학사학회지 (Journal for History of Mathematics)

한국수학사학회 (The Korean Society for History of Mathematics)
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피타고라스의 정리 I: 비-힐베르트 기하에서

Pythagorean Theorem I: In non-Hilbert Geometry

  • 투고 : 2018.08.23
  • 심사 : 2018.11.10
  • 발행 : 2018.12.31
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초록

Pythagorean thoerem exists in several equivalent forms in the Euclidean plane, that is, the Hilbert plane which in addition satisfies the parallel axiom. In this article, we investigate the truthness and mutual relationships of those propositions in various non-Hilbert planes which satisfy the parallel axiom and all the Hilbert axioms except the SAS axiom.

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참고문헌

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