If anyone has taken some basic mathematics, you're probably familiar with Euclidean geometry.

Euclidean geometry is just what most people call geometry.

It's a study of shapes like triangles and circles in a simple plane. This type of geometry was developed

over 2,000 years ago and it's based on a certain set of axioms. However, later mathematicians challenged

one of those axioms and it completely changed how we thought of geometry.

Learn more about non-Eucidian geometry and what it means on this episode of Everything Everywhere Daily. Many of you might find the phrase non-Euclclidian geometry to be daunting. However, it really isn't.

Euclidean geometry is just the geometry that you were taught in school.

For example, the fact that all of the angles in a triangle add up to 180 degrees is a part of

Euclidean geometry.

The word Euclide comes from the ancient Greek mathematician Euclid and the system that he developed.

So before we can get into what non-Uclidian geometry is, we first need to understand exactly

what Euclidean geometry is and who this guy Euclid was.

Euclid, and that's the only name we know him by, was born about 2,300 years ago.

We know almost nothing about his early life, but we do know that

he did most of his work in the city of Alexandria in Egypt, which was very much a

culturally Greek city at that time. Euclid may have attended the Platonic Academy, which Plato established,

and he may have taught at the museum which was part of the Library of Alexandria,

which I covered in a previous episode.

Euclid was a prodigious writer who wrote on many subjects relating to science and mathematics,

although many of his works have been lost to history.

What Euclid is best known for, however, was his work on geometry.

Euclid's book titled Elements is his best known work and is considered the foundational

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