Last modified on 9 October 2012, at 22:17

Geometry/Neutral Geometry/Euclid's First Four Postulates

Euclid's Postulate IEdit

For every point P and for every point Q not equal to P there exists a unique line that passes through P and Q

ExplanationEdit

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

Euclid's Postulate IIEdit

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

ExplanationEdit

[To Come]

Euclid's Postulate IIIEdit

For every point O and every point A not equal to O, there exists a circle with center O and radius OA

ExplanationEdit

[To Come]

Euclid's Postulate IVEdit

All right angles are congruent to one another

ExplanationEdit

[To Come]