engleski

Using Mathematica in alternative derivation of Fuss relation for bicentric quadrilateral

The bicentric n-gon is polygon with n sides are tangential for incircle and chordal for circumcircle. Different methods were usd to prove the condition that n-gon is bicentric one. In this article we present the alternative way for the construction of bicentric quadrilateral. Using computer program Mathematica, we show that radii of circles and their mutual distance satisfy well known Fuss' relation for here presented quadrilateral. Our Mathematica code is in appendix. It can be notice that such construction is not successfull for bicentric polygons with n>4 sides.

circle ; bicentric polygon ; Fuss' relations

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