# Maclaurin, Colin (1698–1746)

Colin Maclaurin was a Scottish mathematician who developed and extended Isaac Newton's
work on calculus and gravitation, and did
notable work on higher plane curves. In his *Treatise of Fluxions* (1742), he gave the first systematic formulation of Newton's methods and
set out a method for expanding functions about the origin in terms of series
now known as **Maclaurin series**. Maclaurin also invented
several devices, made astronomical observations, wrote on the structure
of bees' honeycombs, and improved maps of the Scottish isles.

## Maclaurin trisectrix

The Maclaurin trisectrix is a curve first studied by Colin Maclaurin in 1742 with a view to solving one of the great geometric problems of antiquity – trisecting an angle. The Maclaurin trisectrix results from the Cartesian equation

*y*^{2}(*a* + *x*) = *x*^{2}(3*a* - *x*).

It is an anallagmatic curve that intersects itself at the origin.