Naslov
Semiprogramed analysis of triangles

Autori
Došlić, Tomislav ; Pokaz, Dora ; Sliepčević, Ana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
GeoGra 2012 Conference, Budapest, 20-21/01/2012 / Bolcskei, Attila ; Nagy, Gyula - Budimpešta, 2012, 14-14

Skup
GeoGra 2012 Conference

Mjesto i datum
Budimpešta, Mađarska, 20.01.2012. - 21.01.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
incircle; circumcircle; excircle; limacon of Pascal

Sažetak
We observe triangles inscribed in the unit circle centered at the origin, having one vertex and a measure of the corresponding angle fixed. By using software Mathematica, we describe incenters of such triangles as a parametric curve. We show that it is a limacon of Pascal. Furthermore, we consider the extreme values of the inradius and give a new proof of the Euler inequality concerning inradius and circumradius. We, also, give the illustration of our results by using the Sketchpad graphics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA