engleski

Thebault circles of the triangle in an isotropic plane

In Euclidean geometry V. Th\'{;e};bault considered the existence of the circles which touch the circumscribed circle of a triangle at its vertices as well as the Euler circle of that triangle. The analogous problem can be studied in the isotropic plane. We are going to prove that there are three circles which touch the circumscribed circle of an allowable triangle at its vertices as well as the Euler circle of that triangle in an isotropic plane. Some statements about relationships between these three circles and some other geometric concepts about triangle will be investigated in an isotropic plane. Formulae for the radii of these circles will also be given.

isotropic plane; Thebault circles

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