We make two observations about Hoist's derivation of Barbero's Hamiltonian
formulation from a covariant Lagrangian. While Hoist's derivation does appe
ar to be correct, there are two points in the derivation which may be worth
clarifying. These concern the choice of time gauge and the manner in which
the Hamiltonian variables are defined in terms of the covariant ones. We e
mphasize that our observations in no way affect the validity of Hoist's res
ult.