It was wholly arbitrary in them to do so. --Jer.
Taylor.
Rank pretends to fix the value of every one, and is
the most arbitrary of all things. --Landor.
2. Exercised according to one's own will or caprice, and
therefore conveying a notion of a tendency to abuse the
possession of power.
Arbitrary power is most easily established on the
ruins of liberty abused licentiousness.
--Washington.
3. Despotic; absolute in power; bound by no law; harsh and
unforbearing; tyrannical; as, an arbitrary prince or
government. --Dryden.
{Arbitrary constant}, {Arbitrary function} (Math.), a
quantity of function that is introduced into the solution
of a problem, and to which any value or form may at will
be given, so that the solution may be made to meet special
requirements.
{Arbitrary quantity} (Math.), one to which any value can be
assigned at pleasure.