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Kiepert triangles in an isotropic plane (CROSBI ID 170039)

Prilog u časopisu | izvorni znanstveni rad

Volenec, Vladimir ; Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica Kiepert triangles in an isotropic plane // Sarajevo journal of mathematics, 7 (2011), 19; 81-90

Podaci o odgovornosti

Volenec, Vladimir ; Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica

engleski

Kiepert triangles in an isotropic plane

In this paper the concept of the Kiepert triangle of an allowable triangle in an isotropic plane is introduced. The relationships between the areas and the Brocard angles of the standard triangle and its Kiepert triangle are studied. It is also proved that an allowable triangle and any of its Kiepert triangles are homologic. In the case of a standard triangle the expressions for the center and the axis of this homology are given.

isotropic plane; Kiepert triangle

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Podaci o izdanju

7 (19)

2011.

81-90

objavljeno

1840-0655

Povezanost rada

Matematika