Again, let us suppose that for
we put two complete equations of the fourth degree between
and
. We must then express on the cards the law of elimination for such equations. The engine would follow out those laws, and would ultimately give the equation of one variable which results from such elimination. Various modes of elimination might be selected; and of course the cards must be made out accordingly. The following is one mode that might be adopted. The engine is able to multiply together any two functions of the form
This granted, the two equations may be arranged according to the powers of