• 제목/요약/키워드: Wallace-Simson Line

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Envelope of the Wallace-Simson Lines with Signed Angle ${\alpha}$

  • Bae, Sung Chul;Ahn, Young Joon
    • 통합자연과학논문집
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    • 제5권1호
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    • pp.38-41
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    • 2012
  • In this paper we show that for any triangle and any point on the circumcircle the envelope of the Wallace-Simson lines with signed angle ${\alpha}$ is a parabola. The proof is obtained naturally using polar coordinates. We also present the reparametrization of the envelope which is a linear normal curve.