                           20060616.01

     n-dimensional geometry seems, to the limited extent that I
understand it, to make no provision for the symmetry implicit in
the classical system.  It is not apparent to me why such symmetry
might not be algebraically introduced to it.

     The power of Euclidean Geometry rests, after all, or is
largely contingent on the symmetry of its axes.  Except for the
four dimensional space-time continuum, I have not (yet) found any
references to the application of non-euclidean geometry, though
perhaps I should search for this more specifically.  To what
extent, if at all, does the space-time continuum deprive space of
its orthogonality, of its symmetry?  Does Hermann Weyl's book
symmetry hold any clues?

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