ELI5: Explain Like I'm 5

Absolute geometry

Okay kiddo, let's talk about absolute geometry.

Do you know what geometry is? It's a type of math that deals with shapes, like squares, triangles, and circles. We use geometry to measure and study things like lines and angles.

Now, in absolute geometry, we have a set of rules that are always true no matter what. These rules are called axioms. Just like how 2 + 2 equals 4 no matter what, the axioms in absolute geometry always hold true.

One of the most important axioms in absolute geometry is the parallel postulate. It says that if you have a line and a point not on that line, there is only one line you can draw through that point that will never intersect the first line.

This might be a little hard to understand, but think of it like this: if you have a sheet of paper and draw a line on it, and then put a dot above the line but not on it, there's only one other line you can draw through that dot that won't touch the first line.

In absolute geometry, we assume that this parallel postulate is always true. But in other types of geometry, like non-Euclidean geometry, this postulate doesn't always hold up!

Overall, absolute geometry is all about rules that are always true, no matter what. It's a fascinating branch of math that helps us understand the basic principles of geometry.