  We present an axiomatic framework for what we call Mach's mechanics, inspired
on the ideas by A. K. T. Assis and P. Graneau about relational mechanics. We
show that contrarily to what is suggested by these authors, Mach's principle
does not need to be committed with any Weber's like gravitational force.
Actually it is possible to settle an axiomatic framework for non-relativistic
classical particle mechanics which incorporates Mach's principle and is
consistent with any force that obeys the newtonian action-reaction principle.
We make further criticisms concerning relational mechanics.
