Geometry/Neutral Geometry/Euclid's First Four Postulates

Euclid's Postulate I
For every point P and for every point Q not equal to P there exists a unique line that passes through P and Q

Explanation
Informally, this postulate says that two points determine a unique line.

Euclid's Postulate II
For every segment AB and for every segment CD there exists a unique point E on line AB (needs LaTex formatting) such that B is between A and E and segment CD is congruent to segment BE

Explanation
[To Come]

Euclid's Postulate III
For every point O and every point A not equal to O, there exists a circle with center O and radius OA

Explanation
[To Come]

Euclid's Postulate IV
All right angles are congruent to one another

Explanation
[To Come]