So that makes a lot of difference.
And in Elliptic Geometry we have circles as natural objects
where the "pi value" can vary from 2 to 3.14.... We have no
circles in Hyperbolic Geometry so we say that "pi" in Hyperbolic
is zero or imaginary.
We do have circles and pi = 3.14.... in Eucl geometry but we
do not have any transcendental numbers in AP-Reals.
So, is there a connection here with these facts?:
(1) only finite lines in Eucl geometry
(2) no transcendental numbers
(3) since positives and negatives are together in
Eucl geometry there is no curvature of numbers
(4) positives separated from negatives in Elliptic
and Hyperbolic so we have huge curvature
So these characteristics must be linked.
If you cannot have curvature in Eucl, yet still have circles
and pi a constant, must be linked to having only finite
straight lines and the fact that the positive numbers
are situated next to a negative number.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies