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Published online by Cambridge University Press: 20 January 2009
1. Taking the two following known properties of the pedal line of a triangle, viz.:
I. The locus of a point, such that the feet of the perpendiculars from, it on the sides of a triangle are collinear, is the circum-circle of the triangle;
II. The pedal line bisects the distance between the orthocentre and the corresponding point in the circumference of the circum-circle;