I present some experiments with interactive geometry software on Slideshare.net at: Circles in Triangles using Geometric Construction. This follows on from my previous presentation: Inscribe Semicircle In Square by Geometric Construction. Both slide shows use Geometric Construction to explore basic geometric shapes. I used the free Dr Geo and Geogebra software to create constructions that explore Euclidean geometry in a plane. There are problems for you to investigate: (i) Inscribe four circles in a circle using geometric construction. (ii) Discover additional circles in the equilateral triangle shown in the diagram. This is a fresh look at some ancient mathematics, using readily available PC software. The geometry files are on http://i2geo.net/.

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