Discussion Forum—A Way with Words, a fun radio show and podcast about language

I was wondering about the history on the word 'tip'. Specifically, we use the word 'tip' at restaurants when we "Leave the waiter/ess a tip"….or say "Here's a tip: ". I was wondering, were these two meanings formed from the same place..maybe conversationally at a bar/restaurant (where some guy tells his friend "Let me give you a tip..").

Or..does it have no relation to a restaurant at all? There's also the tip of a sharp object (needle, etc) and to tip something over..but that's probably completely different.