[ReleaseCandidat]

Interesting definition of 'Euclidian geometry'. I am used to call 'something' Euclidean, if the parallel postulate of Euclid holds (that is, there exists exactly one parallel line to a given line through a point (which does not lie on the given line)).

[Koshkin]

To be fair, the term they are using is "Euclidean structure," which, strictly speaking, is more algebraic than (purely) geometric. The notion of the "angle" (and from there that of parallelism) logically follows from it.

[pfortuny]

I guess he isnusing it in the metric sense (Euclidean metric).