This is a bridge across the Water of Leith in Dean Village. It was built more or less at the point where the original ford crossed the river when Dean Village was first established as a settlement. You can see more of my photos of Dean Village on this blog here (and that post itself includes more links if you're really interested!).
I posted a photo of another bridge across the Water of Leith today over on Crafty Green Poet. You can see that here.