I had to run down the side of a building to gain cover.
"I think the road is this way," he said and ran down the far side of the hill.
They ran down the side of the house at an angle, almost to street level.
Or there might be a fire escape running down the side of the building.
He ran down the side of the river, looking for the cat.
Blood began to run down the side of his face.
He ran down the east side of the ridge right up to the river.
The other one had blood running down the side of her head.
Blood was still running down the side of his face, but it didn't seem to trouble him.
Has a scar running down the right side of his face.