Homework Statement
This is a problem from baby rudin in Chapter 1, I've done all of them except this(problem 16).
suppose k>=3,x,y belongs to [R][/k],|x-y|=d>0,and r>0.prove:
(1)if 2r>d, there are infinitely many z belong to R(k) such that |z-x|=|z-y|=r.
(2)if 2r=d, there is exactly one...