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On Brocard points in the isotropic plane. (English) Zbl 1094.51005
Summary: The isotropic analogue of Brocard’s theorem was first obtained by K. Strubecker. Later this analogue was also discussed by J. Lang and H. Sachs.
In the present paper we derive some new results related to Brocard points in the isotropic plane. Namely, an expression for the distance between the Brocard points and certain relations between the circumradii of the corresponding Brocard circles are given. Also we present a statement which is dual to Brocard’s theorem.
MSC:
51M99 Real and complex geometry
51M05 Euclidean geometries (general) and generalizations
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