Pregled bibliografske jedinice broj: 595027
Using Mathematica in alternative derivation of Fuss relation for bicentric quadrilateral
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)
CROSBI ID: 595027 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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, 06.02.2007. - 09.02.2007
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
Projekti:
MZOS-316-0000000-3192 - Analiza složenih sustava spektroskopskim metodama (Orlić, Nada, MZOS ) ( CroRIS)
Ustanove:
Tehničko veleučilište u Zagrebu,
Sveučilište u Rijeci - Odjel za fiziku
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus