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Using Mathematica in alternative derivation of Fuss relation for bicentric quadrilateral


Orlić, Mandi; Kaliman, Zoran; Orlić, Nada
Using Mathematica in alternative derivation of Fuss relation for bicentric quadrilateral // 6th International Conference APLIMAT 2007Bratislava
Bratislava, 2007. str. 457-462 (poster, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
Using Mathematica in alternative derivation of Fuss relation for bicentric quadrilateral

Autori
Orlić, Mandi ; Kaliman, Zoran ; Orlić, Nada

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
6th International Conference APLIMAT 2007Bratislava / - Bratislava, 2007, 457-462

Skup
Aplimat 2007

Mjesto i datum
Bratislava, Slovačka, 6-9.02.2007.

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Circle; bicentric polygon; Fuss' relations

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
316-0000000-3192 - Analiza složenih sustava spektroskopskim metodama (Nada Orlić, )

Ustanove
Tehničko veleučilište u Zagrebu,
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