Some triangle geometry of the triangle family (CROSBI ID 577164)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | domaća recenzija
Podaci o odgovornosti
Halas, Helena ; Sliepčević, Ana
engleski
Some triangle geometry of the triangle family
In this work we consider a one-parameter triangle family T. We prove that the set of the orthocenter, centroid, circumcenter, and some other sets of the triangle centers lie on different hyperbolae. Furthermore, it will be shown that the hyperbolae which are the sets of triangle centers that lie on the Euler lines of the triangle family T have a space interpretation with the Hohenberg transformation. In this presentation we also prove and construct two different cubics as the line envelopes of the side bisectors and Euler lines, and two different quartics as the circle envelopes of the circumcircles and Euler circles of the triangle family T.
Triangle centers; one-parameter family of triangles; envelope of lines; envelope of circles
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Podaci o prilogu
16-16.
2011.
objavljeno
Podaci o matičnoj publikaciji
Abstracts, 15th Scientific-Professional Colloquium on Geometry and Graphics
Došlić, T. ; Jurkin, E.
Zagreb: Hrvatsko društvo za geometriju i grafiku
Podaci o skupu
15th Scientific-professional Colloquium on Geometry and Graphics
predavanje
04.09.2011-08.09.2011
Tuheljske Toplice