Isogonal conjugates in an n-simplex - Jawad Sadek As "one of the crown jewels of modern geometry", the symmedian point is not well known by mathematicians or mathematics educators. Locating a person in space without a GPS, or analysing data for a harbor mine-detecting algorithm are but some of the more recent applications to the symmedian point. In this article, we extend the notions of the symmedian point and isogonal conjugates to n-simplexes. Unlike another attempt, our generalisation preserves all the interesting properties of the symmedian point of a triangle. Also, its connection to the least squares point of a simplex is shown. In addition, the symmedian point is given in terms of a simple formula in barycentric coordinates. ✪ ✪ ✪ ✪ ✪ Hidden Content: **Hidden Content: Content of this hidden block can only be seen by members of (usergroups: V.I.P Downloader).** Theo LTTK Education
