In geometry, Pasch's axiom is a statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them. Its essential role was discovered by Moritz Pasch in 1882.
Read more about Pasch's Axiom: Statement, History, Equivalences, Hilbert's Statement of Pasch's Axiom, Caveats
Famous quotes containing the word axiom:
“It’s an old axiom of mine: marry your enemies and behead your friends.”
—Robert N. Lee. Rowland V. Lee. King Edward IV (Ian Hunter)