Euclidean geometry

According to the Twelfth Doctor, feigning surprise at the TARDIS' dimensional transcendentalism, three-dimensional Euclidean geometry had just been "torn up, thrown in the air, and snogged to death". (TV: The Husbands of River Song)
The "warped physics of hyperspace" were outside of Euclidean space. (PROSE: Uranus)
Euclidean geometry was distinguished from non-Euclidean geometry, (PROSE: Shadow of the Times Before, The Book of the Enemy) which characterised the intersections of space and time within the Time Vortex. (PROSE: Cat's Cradle: Witch Mark)
Once, while visiting ancient Athens with the Seventh Doctor, Melanie Bush corrected Euclid's geometry, much to his annoyance. (AUDIO: Mask of Tragedy)
== Behind the scenes ==
Euclidean geometry is a specific mathematical conception of geometry consisting of five axioms. Most famously the ancients took the first four to be definitional and would attempt to justify the , leading to non-Euclidean geometry. However, has shown that this is not the only axiom that can be coherently denied given the proper approach.
Category:Geometry from the real world
Category:Space