An affine variant of a Steinhaus problem - Jean-Pierre Ehrmann Given a triangle ABC and three positive real numbers u, v, w, we prove that there exists a unique point P in the interior of the triangle, with cevian triangle P_aP_bP_c, such that the areas of the three quadrilaterals PP_bAP_c, PP_cBP_a, PP_aCP_b are in the ratio u : v : w. We locate P as an intersection of three hyperbolas. ✪ ✪ ✪ ✪ ✪ Hidden Content: **Hidden Content: Content of this hidden block can only be seen by members of (usergroups: V.I.P Downloader).** Theo LTTK Education
