Definition:Euclidean Geometry/Historical Note

Historical Note on Euclidean Geometry

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.

As a system, it was regarded as logically sound for some $2000$ years, although there are in fact a number of unstated and concealed assumptions.

David Hilbert re-cast Euclidean geometry in $1899$, in his Grundlagen der Geometrie, which used:

three undefined entities: point, line and plane

$28$ assumptions, known as Hilbert's axioms.

Sources

• 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