# Euclid

To start with I am only considering two-dimensional space.

## Definitions

This is a list of assumptions and definitions from my simple perspective. Never quite sure what axioms are so I am not worrying about them.

#### Point

A position in space, but does not occupy any space.

#### 2-dimensional space

A flat surface that extends unlimited in depth and length, but has the same height. All points in a 2-D world lie on this space.

#### Line

A collection of points all joined together. It indicates position but has no thickness.

#### A straight edge

A physical item that has one edge that when placed on another straight edge is in perfect contact with no gap between them wherever they are placed in contact.

#### Straight Line

Line that when placed against a straight edge is in perfect contact with no gap.

I am currently reading *A Long Way From Euclid*
by Constance Reid which contains this useful summary of Euclid's original Axioms and Postulates.