The Journal of the Indian Mathematical Society

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The Curvature of the Orthoptic Locus


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1 College of Engineering, Guindy, India
     

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The orthoptic of a plane curve C is the locus of the intersection of perpendicular tangents to it. Taking such a pair of tangents as a set of moving axes, I obtain expressions (6) and (8) for the curvature of the orthoptic. From these are deduced certain characteristic properties of curves whose orthoptics are straight lines.
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  • The Curvature of the Orthoptic Locus

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Authors

A. Narasinga Rao
College of Engineering, Guindy, India

Abstract


The orthoptic of a plane curve C is the locus of the intersection of perpendicular tangents to it. Taking such a pair of tangents as a set of moving axes, I obtain expressions (6) and (8) for the curvature of the orthoptic. From these are deduced certain characteristic properties of curves whose orthoptics are straight lines.