A transformation of a Polynomial equation which is of the form where and are
Polynomials and does not vanish at a root of . The Cubic Equation is a special
case of such a transformation. Tschirnhaus (1683) showed that a Polynomial of degree can be reduced to a form
in which the and terms have 0 Coefficients. In 1786, E. S. Bring showed that
a general Quintic Equation can be reduced to the form

In 1834, G. B. Jerrard showed that a Tschirnhaus transformation can be used to eliminate the , ,

**References**

Boyer, C. B. *A History of Mathematics.* New York: Wiley, pp. 472-473, 1968.

Tschirnhaus. *Acta Eruditorum.* 1683.

© 1996-9

1999-05-26