The Animation of Geometric Proofs

Brian R. Stonebridge, The Animation of Geometric Proofs. CSTR-95-020, Department of Computer Science, University of Bristol. September 1995. No electronic version available.


Computer graphics techniques can be used to show dynamic animations of geometrical proof. In static displays, for instance on paper, blends can give a similar impression. We present a novel proof of Pythagoras' Theorem. It relies upon scaling the right-angled triangle by multiplying it by a, b, and c and rotating the first two of the resulting triangles through the adjacent angles to lie along the hypotenuse of the third. This is demonstrated using blends for the transformations. ------------------------------------------------------------ This report has been accepted for publication in "Mathematical Spectrum".

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