Pregled bibliografske jedinice broj: 568570
Triangle family and Euler
Triangle family and Euler // GeoGra 2012 Conference, Budapest, 20-21/01/2012 / Bolcskei, Attila ; Nagy, Gyula (ur.).
Budimpešta, Mađarska, 2012. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 568570 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Triangle family and Euler
Autori
Halas, Helena ; 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 - , 2012
Skup
Geogra 2012 Conference
Mjesto i datum
Budimpešta, Mađarska, 20.01.2012. - 21.01.2012
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
one-parameter triangle family; Euler line; Euler circle
Sažetak
In this work we consider a one-parameter triangle family T, determined by two arbitrary lines and a pencil, whose vertex does not lie on these two chosen lines. It will be shown and proved that the known points of Euler line, in this case the set of the orthocenter, centroid, circumcenter and nine-point center lie on different hyperbolae. Furthermore, in this presentation we prove and show some properties of two different curves: the line envelope of Euler lines and the circle envelope of the Euler’s circles of the triangle family T. Also there will be discussed and constructed some other line envelopes that can be related to the triangle family T and some points of the Euler line or Euler’s circle.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
082-0000000-0893 - Krivulje i plohe u euklidskom i neeuklidskim prostorima
Ustanove:
Građevinski fakultet, Zagreb
