Geometry/Neutral Geometry/Euclid's First Four Postulates
< Geometry | Neutral Geometry
Euclid's Postulate I[edit | edit source]
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 | edit source]
Informally, this postulate says that two points determine a unique line.
Euclid's Postulate II[edit | edit source]
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 | edit source]
[To Come]
Euclid's Postulate III[edit | edit source]
For every point O and every point A not equal to O, there exists a circle with center O and radius OA
Explanation[edit | edit source]
[To Come]
Euclid's Postulate IV[edit | edit source]
All right angles are congruent to one another
Explanation[edit | edit source]
[To Come]