A Trisectrix from a Carpenter's Square

TL;DR

This paper introduces a new curve called a trisectrix, derived from a carpenter's square method, enabling angle trisection with a specialized compass, expanding geometric construction tools.

Contribution

It defines a novel trisectrix curve based on classical angle trisection techniques and proposes a practical compass design for drawing it.

Findings

Defined a new trisectrix curve.

Proposed a compass for constructing the curve.

Connected classical angle trisection with modern geometric tools.

Abstract

In 1928 Henry Scudder described how to use a carpenter's square to trisect an angle. We use the ideas behind Scudder's technique to define a trisectrix---a curve that can be used to trisect an angle. We also describe a compass that could be used to draw the curve.