Geometry/Neutral Geometry/Euclid's First Four Postulates

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Euclid's Postulate I[edit]

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[edit]

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

Euclid's Postulate II[edit]

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[edit]

[To Come]

Euclid's Postulate III[edit]

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

Explanation[edit]

[To Come]

Euclid's Postulate IV[edit]

All right angles are congruent to one another

Explanation[edit]

[To Come]