In this article, we will show that for every choice of real num- bers a1 and a2, the set (loci) of solutions of all polynomials of the type x^3+a_2x^2+a_1x+d, where d ∈ R, can be characterized in terms of hyperbo- las. Furthermore, relations between such hyperbolas and Steiner ellipses (inellipses and circumellipses) associated with cubics will be pointed out.
Cubics, hyperbolas and steiner ellipses
Vincenzi, G
2021-01-01
Abstract
In this article, we will show that for every choice of real num- bers a1 and a2, the set (loci) of solutions of all polynomials of the type x^3+a_2x^2+a_1x+d, where d ∈ R, can be characterized in terms of hyperbo- las. Furthermore, relations between such hyperbolas and Steiner ellipses (inellipses and circumellipses) associated with cubics will be pointed out.File in questo prodotto:
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