---
tag: QBYWA4W05J
kind: concept
name: Quadratrix of Hippias
aliases: [dinostratus-theorem, quadratrix-of-dinostratus]
sources:
  - wikipedia: en:40429150@r1342784723
    locator: Quadratrix of Hippias
    note: adopted
    mention: wikipedia://en/40429150
    sections: [Summary]
same_as:
  wikidata: Q2121861
  wikipedia: Quadratrix of Hippias
inventory: [35T3MXJ8PX]
---

## Summary

The **quadratrix** or **trisectrix of Hippias** (also called the **quadratrix of Dinostratus**) is a curve which is created by a uniform motion. It is traced out by the crossing point of two [[lines|0MP9BCF6DP]], one moving by [[translation|087VJM5Q77]] at a uniform speed, and the other moving by rotation around one of its points at a uniform speed. An alternative definition as a parametric curve leads to an equivalence between the quadratrix, the image of the Lambert W function, and the graph of the function $y=x\cot x$.