ostalo
The quasi-hyperbolic plane is one of nine projective-metric planes where the absolute f igure 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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