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Geometric solutions of algebraic equations

The 4 coefficients of a cubic equation are represented by a set of contiguous horizontal-vertical segments. A ray is drawn beginning at the start point S, first reflecting at 90° on the b segment, and again at 90° on the c segment. A solution is obtained by sliding point P on the b segment so that the ending ray
passes through the finish point F. The (real) root is then equal to x = y(P)/x(A).

© M. Riaz