JournalsrsmupVol. 133pp. 159–172

α\alpha-isoptics of a triangle and their connection to α\alpha-isoptic of an oval

  • Małgorzata Michalska

    Uniwersytet Marii Curie-Skłodowskiej, Lublin, Poland
  • Witold Mozgawa

    Uniwersytet Marii Curie-Skłodowskiej, Lublin, Poland
$\alpha$-isoptics of a triangle and their connection to $\alpha$-isoptic of an oval cover
Download PDF

Abstract

For a fixed positive angle α\alpha, α<π\alpha <\pi we get an explicit formulas for an α\alpha-isoptic curve of a triangle and study some of its properties. We use obtained results to show that α\alpha-isoptic of an oval is an envelope of α\alpha-isoptics of properly chosen triangles.

Cite this article

Małgorzata Michalska, Witold Mozgawa, α\alpha-isoptics of a triangle and their connection to α\alpha-isoptic of an oval. Rend. Sem. Mat. Univ. Padova 133 (2015), pp. 159–172

DOI 10.4171/RSMUP/133-8