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Euclidean geometry is the branch of geometry in which the parallel postulate applies.
An assumption which is currently under question is whether or not ordinary space is itself Euclidean.
Euclidean geometry adheres to Euclid's postulates.
- Results about Euclidean geometry can be found here.
Source of Name
This entry was named for Euclid.
Euclidean geometry was initially developed in Greece between about $600$ and $300$ BCE.
It was codified at the end of this period and published as Euclid's The Elements.
- 1952: T. Ewan Faulkner: Projective Geometry (2nd ed.) ... (previous) ... (next): Chapter $1$: Introduction: The Propositions of Incidence: $1.1$: Historical Note
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Euclidean geometry
- 1993: Richard J. Trudeau: Introduction to Graph Theory ... (previous) ... (next): $1$. Pure Mathematics: Euclidean geometry as pure mathematics
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Euclidean geometry
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Euclidean geometry
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Euclidean geometry