During the summer of 2005 I carried out research into the geometry of the triangle, exploring consequences of a result on statics and barycentric coordinate systems first demonstrated by my supervisor Geoff Smith. This project was financed by a Nuffield Undergraduate Research Bursary, specifically URB/02196/G. More on that scheme can be found at The Nuffield Foundation site.

The main results of this work are contained in my report, *Applications of the GPAT to Triangle Geometry*, which you can access in [ps] or [pdf] formats according to preference.

The latter part of that work refers to conjectures based on experimentation with the Cinderella geometry package; from this a java applet has been generated which can be accessed here.

Additional applets demonstrating other geometric results are also available on: The Euler Line, The Brocard Points, The Fermat and Nagel points.

For reference, the original papers from which I was working are as follows (all via *Forum Geometricorum*):