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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

Sliepčević, Ana ; Božić, Ivana The Analogue of Theorems Related To Wallace-Simson’s Line in Quasi-Hyperbolic Plane // The 16th International Conference on Geometry and Graphics (ICGG 2014) - Proceedings / Schroecker H.-P., Husty M. (ur.). Innsbruck: ISGG , 2014, 2014

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

Povezanost rada

Matematika