Whenever people say there aren't enough officers for foot patrol, I say, "hogwash" (or something with similar meaning). We used to have foot patrol. And we didn't have more police. It's a question of priorities, not resources. Here's a interesting diagram from 1911.
I don't know if this was the theory, the practice, or a proposal. And perhaps standing in the middle of the intersection isn't the best strategy. But it's still very interesting to see. (Plus those old hand-drawn diagrams have style!)
Basically foot patrol was replaced with making officers available to answer 911 calls. Too bad former is much better than the latter.