# Pell’s Equation and the Chakravala Method

Etymology is funny sometimes. Sometimes it tells you a lot, sometimes nothing at all. For example, the word *parabola* comes from the ancient Greek word for “applied.” *Hyperbola* comes from ὑπερβολή or “excessive” and *ellipse* is derived from “a deficient.” From their words, you’d almost think the Greeks weren’t fond of conic sections.

Don’t let it fool you. They loved them.

A large part of ancient Greek contributions to mathematics are based on the simplicity of taking slices of a cone. Euclid apparently wrote four books on conics…