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	<title>Modulo Errors &#187; Plane Geometry</title>
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		<title>On the Geometry of Triangle Centres- Links</title>
		<link>http://maths.straylight.co.uk/archives/43</link>
		<comments>http://maths.straylight.co.uk/archives/43#comments</comments>
		<pubDate>Tue, 07 Mar 2006 19:02:54 +0000</pubDate>
		<dc:creator>Graeme</dc:creator>
				<category><![CDATA[Plane Geometry]]></category>

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		<description><![CDATA[Sources for my summer research project.]]></description>
			<content:encoded><![CDATA[<p>For reference, the original papers from which I was working are as follows (all via <em><a href="http://forumgeom.fau.edu/">Forum Geometricorum</a></em>):
</p>
<ul>
<li><a href="http://forumgeom.fau.edu/FG2005volume5/FG200524index.html">Geoff C. Smith, Statics and the moduli space of triangles</a></li>
<li><a href="http://forumgeom.fau.edu/FG2006volume6/FG200607index.html">Christopher J. Bradley and Geoff C. Smith, The locations of triangle centers</a></li>
<li><a href="http://forumgeom.fau.edu/FG2006volume6/FG200608index.html">Christopher J. Bradley and Geoff C. Smith, The locations of the Brocard points</a></li>
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		<title>On the Geometry of Triangle Centres- Report</title>
		<link>http://maths.straylight.co.uk/archives/39</link>
		<comments>http://maths.straylight.co.uk/archives/39#comments</comments>
		<pubDate>Thu, 29 Sep 2005 15:50:32 +0000</pubDate>
		<dc:creator>Graeme</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Plane Geometry]]></category>

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		<description><![CDATA[Report on my undergraduate summer research project on plane geometry.]]></description>
			<content:encoded><![CDATA[<p>
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 <a href="http://people.bath.ac.uk/masgcs">Geoff Smith</a>. This project was financed by a Nuffield Undergraduate Research Bursary, specifically URB/02196/G. More on that scheme can be found at <a href="http://www.nuffieldfoundation.org/go/grants/sciurb/page_93.html">The Nuffield Foundation site</a>.</p>
<p>The main results of this work are contained in my report, <i>Applications of the GPAT to Triangle Geometry</i>, which you can access in <a href="http://maths.straylight.co.uk/triangles/geometry.ps">[ps]</a> or <a href="http://maths.straylight.co.uk/triangles/geometry.pdf">[pdf]</a> formats according to preference. </p>
<p>
The latter part of that work refers to conjectures based on experimentation with the <a href="http://www.cinderella.de">Cinderella</a> geometry package; from this a java applet has been generated which can be accessed <a href="http://maths.straylight.co.uk/triangles/D_OS.html">here</a>. </p>
<p>
Additional applets demonstrating other geometric results are also available on: <a href="http://maths.straylight.co.uk/triangles/eulerline.html">The Euler Line</a>, <a href="http://maths.straylight.co.uk/triangles/BrocardPoints.html">The Brocard Points</a>, <a href="http://maths.straylight.co.uk/triangles/Fermatpoints.html">The Fermat and Nagel points</a>.</p>
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