We will consider two phenomena well known from the general theory of r
elativity in an absolute Euclidean space-time. From the mathematical p
oint of view a Euclidean space-time can be obtained from a Minkowski s
pace-time by means of a simple rearrangement procedure. We will make u
se of this procedure to derive the Euclidean space-time analog of the
Schwarzschild metric. From this metric or rather from its correspondin
g Lagrangian, we will derive the expressions for the deflection of lig
ht and the precession of perihelia of planets in an absolute Euclidean
space-time. The results are striking. That is, we arrive at the same
expressions as found in the general theory of relativity. The predicti
on of these values has always been regarded as a success of the genera
l theory of relativity. Our results, however, show that the agreement
between observed and the predicted values also supports the absolute E
uclidean space-time theory.