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Generalization of the Wallace-Simson line

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arxiv 1008.0588 v1 pith:L2S4KWIY submitted 2010-08-03 math.MG

classification math.MG
keywords wallace-simsonlineallowinganotherbisectorcontextgeneralizationgeneralized
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A Wallace-Simson line of a point J has the property that it passes through the midpoint Q of HJ, where H is the orthocentre. By allowing Q to move on the perpendicular bisector of HJ we obtain generalized Wallace-Simson lines. These turn out to be known in another context.

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