The occurrence of infinite values in physical equations, such as singularity in the description of black holes, is a painstaking problem that causes many theories to break down and/or being incapable of describing extreme events. Different methods, such as re-normalization, have been used in the assessment of physical observables in order to erase the undesirable infinity. Here we propose a novel technique, based on geometrical considerations, that allows removal of infinity and achievement of physical theories void of such a problem. We compare finite quantities to curved lines endowed in positive-curvature manifolds, and intractable infinity to a straight line. In order to restore the equations and erase the straight line of infinity, we project the quantities onto curved lines endowed in negative-curvature manifolds.