Posts tagged 'crossed-ladders'

F.44 Homothetic Ratios and Crossed Diagonals

Given two parallel uprights of heights h_1 < h_2 separated by horizontal distance d and viewed from their external center of similitude O, the crossed diagonals meet at horizontal distance x = d h_1 / (h_1 + h_2) from the first upright, while O lies at distance y - x = d h_1 / (h_2 - h_1) to its left, forming a harmonic range.