go on looking

He went on looking at his hands for a moment.

Isn't this what probably goes on when we aren't looking?

What more could they do but just look everywhere, and go on looking?

He went on looking at the city spread out below.

She would go on looking until there was no time left.

She went on looking at us for what seemed like forever.

I'll go on looking out of the window and thinking.

He went on looking at me without any change of expression.

So they did nothing and went on looking for a better deal.

Why did he go on looking at her like that?