  We show that elastic scattering $pp \to pp $ differential cross sections as
function of the four-momentum transfer square $|t|$ have a universal property,
such that the ratio of bump-to-dip positions is constant from the energies of
the ISR to the LHC, from tens of GeV and up to the TeV scale. We explore this
property to compare the geometrical scaling observed at the ISR with the
recently proposed scaling law at the LHC. We argue that, at the LHC, within
present experimental uncertainties, there is in fact a family of scaling laws.
We discuss the constraints that the scaling laws impose on the parametrization
of the elastic $pp\to pp$ scattering amplitude.
