Science Fair Project Encyclopedia I have altered the statement
that Euclidean geometry is a subset of Riemannian geometry. The
set of theorems of Riemannian geometry could be said to be a
subset of the set of theorems of Euclidean geometry, if one were
to construe the former to mean propositions true in all
Riemannian manifolds. On the other hand, the class of spaces
that satisfy the axioms of Riemannian geometry is a subclass of
those that satisfy the axioms of Euclidean geometry. Not a set,
but rather a proper class. Michael Hardy 19:57 Mar 12, 2003
(UTC) This page has problems, in relation to the Riemannian
manifold coverage elsewhere. The initial posting seems to have
been about the Riemannian geometry of constant negative
curvature. I'm not quite sure now what the thrust is. Charles
Matthews 19:01 29 Jun 2003 (UTC) - Riemannian geometry is the
original name for geometry which deals with non-euclidean
spaces. Historically, it is concrete. It is important to
preserve the timeline for epistemological reason