  We study Saccheri`s three hypotheses on a two right-angled isosceles
quadrilateral, with a rectilinear summit side. We claim that in the Hilbert`s
foundation of geometry the euclidean parallelism is a theorem, and in the
h-plane the hyperbolic parallelism under a hyperbolic transformation has image
the euclidean parallelism. We prove that Saccheri`s rectilinear quadrilaterals
can be only rectangle. Finally we believe that the independence of the
euclidean parallel postulate is just a matter of philosophy of logic.
