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/Φ_2 , Φ2 ), where Φ_2 is the Silver mean. The main result is that in any circle a continue quadrilateral of growth μ can be inscribed for every μ belonging to the interval (1/Φ_2,Φ_2). Our investigation is supported by dynamical software.
Continue quadrilaterals
Laudano, Francesco;Vincenzi, Giovanni
2019-01-01
Abstract
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/Φ_2 , Φ2 ), where Φ_2 is the Silver mean. The main result is that in any circle a continue quadrilateral of growth μ can be inscribed for every μ belonging to the interval (1/Φ_2,Φ_2). Our investigation is supported by dynamical software.File in questo prodotto:
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