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 Kieper...

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Published inSarajevo journal of mathematics Vol. 7; no. 1; pp. 81 - 90
Main Authors Volenec, Vladimir, Kolar–Begović, Zdenka, Kolar–Šuper, Ružica
Format Journal Article
LanguageEnglish
Published 10.06.2024
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Summary: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.   2000 Mathematics Subject Classification. 51N25
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.07.1.08