Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 47, No. 1, pp. 167-174 (2006)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 167-174 (2006) |
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On Brocard points in the isotropic planeMargarita SpirovaDepartment of Descriptive Geometry, University of Architecture, Civil Engineering and Geodesy, 1, Christo Smirnenski Blvd., 1046 Sofia, Bulgaria, e-mail: spirov$_-$fgs@uacg.bgAbstract: The isotropic analogue of Brocard's theorem was first obtained by K. Strubecker \cite{1}. Later this analogue was also discussed by J. Lang \cite{2} and H. Sachs \cite{3}. 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. Keywords: Brocard lines, Brocard points, duality, dual numbers, Galilean plane, isotropic geometry Full text of the article (for subscribers):
Electronic version published on: 9 May 2006. This page was last modified: 8 Jun 2006.
© 2006 Heldermann Verlag
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