Homework Statement
Let S := (\Re x \Re \ {(0,0)}. For (x,y), (x',y') \in S, let us say (x,y) ~ (x',y') if there exists a real number \lambda > 0 such that (x,y) = (\lambdax',\lambday'). Show that ~ is an equivalence relation; moreover, show that each equivalence class contains a unique...