Introduction to Euclid's Geometry

Point

Point, line, and plane are taken as undefined terms because defining them leads to circular definitions. A point has no dimensions, a line has length

Seven universal truths that apply

Seven universal truths that apply to all mathematics: (1) Things equal to same thing are equal, (2) Adding equals to equals gives equals, (3) Subtract

Geometric assumptions

Geometric assumptions: (1) Line can be drawn between any two points, (2) Line segment can be extended indefinitely, (3) Circle can be drawn with any c

Method of proving statements using previously

Method of proving statements using previously established axioms, postulates, and theorems. Each step must follow logically from known truths. Example

Creating geometric figures using only compass

Creating geometric figures using only compass and straightedge based on Euclid's postulates. Example: Constructing equilateral triangle on given line