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Lill's method
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, Lill's method is a visual method of finding the <a href="/facts/Real_number/R02gw5Pb">real</a> <a href="/facts/Zero_of_a_function/mlK3dhoT">roots</a> of a univariate <a href="/facts/Polynomial/Lzak8VVx">polynomial</a> of any <a href="/facts/Degree_of_a_polynomial/Bf8vEIhf">degree</a>. It was developed by Austrian engineer <a href="/facts/Eduard_Lill/4NL0Tkdb">Eduard Lill</a> in 1867. A later paper by Lill dealt with the problem of <a href="/facts/Complex_numbers/2w7mqI7e">complex</a> roots. </p><p>Lill's method involves drawing a path of straight line segments making <a href="/facts/Right_angle/psaslRq7">right angles</a>, with lengths equal to the coefficients of the polynomial. The roots of the polynomial can then be found as the <a href="/facts/Slope/a2L3k0j5">slopes</a> of other right-angle paths, also connecting the start to the terminus, but with vertices on the lines of the first path. </p>