Intersecting hyperplanes.

I am looking for reference for following lemma.

Consider a set of hyperplanes $H$ in a $n$-dimensional space. Let $S$ be the set of intersections of all elements of $H$.
Take a point $w$. Repeat as follows: project $w$ on a hyperplane in $H$. If you repeat this, you will get closer to $S$. If you use all hyperplanes infinitely often, you converge to $S$.

In what books I can find such sort of results?

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