Functions of triples of positive real numbers and their use in study of bicentric polygons

Purchase on

$39.95 / €34.95 / £29.95*

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


We consider some functions defined on the set of ordered triples $(R,r,d)$ , where $R,r,d>0$ and $R>r+d$ . The introduced properties of functions are used to study bicentric polygons where conics are circles. The article’s principal result is the so-called cyclical method for establishing Fuss’ relations for bicentric n-gons. The achieved method is a valuable contribution to the solution of the centuries-old Fuss’ relations problem.