The Journal of the Indian Mathematical Society

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On Collinear Feet of 0-lines of the Sides of a Triangle


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1 S.V. University, Tirupati, Andhra Pradesh, India
     

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All angles considered in this paper are taken modulo π. It is known that lines drawn through a point P on the circumcircle of a triangle A1 A2 A3 making the same angle 0 in the same sense with the sides of the triangle meet the respective sides in collinear points (feet); the line of collinearity (called the 0-pedal line of P for A1 A2 A3) is known to envelop, as P varies, a deltoid (called the 0-deltoid of A1 A2 A3) touching the sides of the triangle.
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  • On Collinear Feet of 0-lines of the Sides of a Triangle

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Authors

S. S. Subramanyam
S.V. University, Tirupati, Andhra Pradesh, India

Abstract


All angles considered in this paper are taken modulo π. It is known that lines drawn through a point P on the circumcircle of a triangle A1 A2 A3 making the same angle 0 in the same sense with the sides of the triangle meet the respective sides in collinear points (feet); the line of collinearity (called the 0-pedal line of P for A1 A2 A3) is known to envelop, as P varies, a deltoid (called the 0-deltoid of A1 A2 A3) touching the sides of the triangle.