# Mathematical Communications,Vol. 24 No. 1, 2019.

Izvorni znanstveni članak

Francesco Laudano   orcid.org/0000-0003-4489-095X ; Dipartimento di Matematica, Universita di Salerno, Fisciano , Italy
In this article, we introduce the notion of continue quadrilateral, that is a quadrilateral whose sides are in geometric progression. We obtain an extension of the principal result referring to the growth of continue triangles. Precisely, we will see that the growth of a continue quadrilateral belongs to the interval $(1/\Phi_2, \Phi_2)$, where $\Phi_2$ is the Silver mean. The main result is that in any circle a continue quadrilateral of growth $\mu$ can be inscribed for every $\mu$ belonging to the interval $(1/\Phi_2, \Phi_2)$. Our investigation is supported by dynamical software.