Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 47, No. 1, pp. 167-174 (2006)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



On Brocard points in the isotropic plane

Margarita Spirova

Department of Descriptive Geometry, University of Architecture, Civil Engineering and Geodesy, 1, Christo Smirnenski Blvd., 1046 Sofia, Bulgaria, e-mail: spirov$_-$

Abstract: 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:

Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.

© 2006 Heldermann Verlag
© 2006–2009 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition