Triangle family and Euler (CROSBI ID 584208)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Halas, Helena ; Sliepčević, Ana
engleski
Triangle family and Euler
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.
one-parameter triangle family; Euler line; Euler circle
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Podaci o prilogu
2012.
objavljeno
Podaci o matičnoj publikaciji
GeoGra 2012 Conference, Budapest, 20-21/01/2012
Bolcskei, Attila ; Nagy, Gyula
Podaci o skupu
GeoGra 2012 Conference
predavanje
20.01.2012-21.01.2012
Budimpešta, Mađarska