A transformation that reduces coefficient count to one greatly simplifies the task of finding roots. has roots that are solvable by classical techniques involving the computation of inverse ...

Governed by a highly symmetric cubic equation, the Clebsch was selected for a remarkable property: There are supposed to be exactly 27 straight lines that lie flush to its surface.

Abstract. Given any cubic or quartic equation with real coefficients, it can be transformed by a change of variable into a standard form, and thus solved by means of a double-sided scale (Fig. 1 ...

Charles Gilpin, Jr., Approximation of the Greatest Root of a Cubic Equation with Three Real Roots, The American Mathematical Monthly, Vol. 13, No. 6/7 (Jun. - Jul., 1906), pp. 140-141 ...

Given any cubic or quartic equation with real coefficients, it can be transformed by a change of variable into a standard form, and thus solved by means of a double-sided scale (Fig. 1) in the ...