# Mathematical Sciences

## Ancient Approximations of Pi

**Date:** 3:30pm - 4:30pm PST February 4, 2016
**Location:** John Howard 254

#### John Howard 254

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Elijah Barnes ’18

Mathematics and Physics Major

How do we find the area of a circle? Or a better question is how do we find good approximations of Pi? Years before the formal definition of limits, an idea originated where one uses the method of exhaustion to approximate areas of circles and other shapes using n-sided polygons.

In this talk, we will delve deeper into two ancient cultures. The Greeks used this method to calculate areas and volumes, which led to Euclid’s formulas in *Elements*. Centuries later, Liu Hiu calculated approximations for Pi in his famous commentary on *The Nine Chapters on the Mathematical Art*.

No previous specific math knowledge is required.