Isogonal conjugacy through a fixed point theorem - Sándor N. Kiss and ZoltánKovács

  1. Tác giả: LTTK CTV
    Đánh giá: ✪ ✪ ✪ ✪ ✪

    Isogonal conjugacy through a fixed point theorem - Sándor N. Kiss and ZoltánKovács​

    For all point X in the plane set the affine combination of orthogonal projections with respect to the sides of a fixed triangle, where the coefficients are the absolute barycentric coordinates of the point with respect to the triangle. We prove that this map is affine if and only if X lies not on the circumcircle, and the only fixed point of this map is the isogonal conjugate of the point X.

    [​IMG]​

    ✪ ✪ ✪ ✪ ✪


    Link tải tài liệu:

    LINK TẢI TÀI LIỆU


     

    Xem các chủ đề cùng chuyên mục

    LTTK CTV, 10/10/19
    #1