  A precise measurement of the total cross section and the coulomb scattering
at the LHC requires the observation of elastically scatteredparticles at
extremely small angles (14 microrad, -t < 0.01 GeV**2 for the first case; 3
microrad, -t<0.0006 GeV**2 for the second one). In this paper a very high-beta
insertion optics is presented. A feasibility study, including the acceptance of
the detectors, for an experiment to be installed in IR1 or IR5, is also
presented.
