The Analogue of Theorems Related To Wallace-Simson’s Line in Quasi-Hyperbolic Plane (CROSBI ID 614366)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Sliepčević, Ana ; Božić, Ivana
engleski
The Analogue of Theorems Related To Wallace-Simson’s Line in Quasi-Hyperbolic Plane
The quasi-hyperbolic plane is one of nine projective-metric planes where the absolute figure is the ordered triple j1 ; j2 ; F. It is dual to the pseudo-Euclidean plane. It is known for the fact that a pencil of parabolas, in the Euclidean and pseudo-Euclidean plane, can be set according to lines a ; b ; c. The focus points of all parabolas in the pencil lie on the circle circumscribed to the triangle given by lines a ; b ; c. The connection between the pencil of parabolas, Wallace-Simson lines and Steiner deltoid curve are studied and proved in [2]. Analogues theorems are valid in the pseudo- Euclidean plane. In this paper the dual theorems will be proved in quasi-hyperbolic plane.
Quasi-hyperbolic plane; pencil of parabolas; Wallace-Simson line; point A
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Podaci o prilogu
2014.
objavljeno
Podaci o matičnoj publikaciji
The 16th International Conference on Geometry and Graphics (ICGG 2014) - Proceedings
Schroecker H.-P., Husty M.
Innsbruck: ISGG , 2014
Podaci o skupu
The 16th International Conference on Geometry and Graphics
predavanje
04.08.2014-08.08.2014
Innsbruck, Austrija