1Euclidean geometry

IB Geometry



1 Euclidean geometry
We are first going to look at Euclidean geometry. Roughly speaking, this is the
geometry of the familiar
R
n
under the usual inner product. There really isn’t
much to say, since we are already quite familiar with Euclidean geometry. We
will quickly look at isometries of
R
n
and curves in
R
n
. Afterwards, we will try
to develop analogous notions in other more complicated geometries.

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