  An empirical principle for the construction of a linear relationship between
the total angular momentum and squared-mass of baryons is proposed. In order to
examine linearity of the trajectories, a rigorous least-squares regression
analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the
constructed trajectories do not have non-linear behaviour. A similar regularity
may exist for lowest-mass mesons. The linear baryonic trajectories are well
described by a semi-classical picture based on a spinning relativistic string
with tension. The obtained numerical solution of this model was used to extract
the (di)quark masses.
