# The Trisectrix as the Locus of Points of Intersection

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A trisectrix (red) is the locus of the points of intersection (red point ) of a moving horizontal line (blue) and a rotating line (black).

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Contributed by: Roberta Grech (July 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The trisectrix can be used to trisect an angle. If a vertical line is dropped from to meet the axis at , the point on the line is such that , and the horizontal line meets the trisectrix at , then the angle that makes with the axis is .

Reference

[1] T. Heard, D. Martin, and B. Murphy, *A2 Further Pure Mathematics*, 3rd ed., London: Hodder Education 2005 p. 202, question no. 2.

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