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On some applications of the pedal line of a triangle

Published online by Cambridge University Press:  20 January 2009

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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;

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1890