Mathematicians euclid biography for kids

Euclidean geometry is a system in mathematics. People think Euclid was the first person who described it; therefore, it bears his name. He first described it in his textbook Elements.

The book was the first systematic discussion of geometry as it was known at the time. In the book, Euclid first assumes a few axioms.

Mathematicians euclid biography for kids

These form the base for later work. They are intuitively clear. Starting from those axioms, other theorems can be proven.

In the 19th century other forms of geometry were found. These are non-Euclidean geometry.

Interesting facts about euclid

Carl Friedrich Gauss, János Bolyai, and Nikolai Ivanovich Lobachevsky were some people that developed such geometries. Very often, these do not use the parallelpostulate, but the other four axioms.

The axioms

Euclid makes the following assumptions.

These are axioms, and need not be proved.

1. Any two points can be joined by a straight line
2. Any straight line segment can be made longer (extended) to infinity, so it becomes