This mutual man-hunt must keep up until one got the other.

And if one neglected a chance to get the other, that increased the other's chance to get him.

There could be no false sentiment about it.

Tudor had been a cunning devil when he proposed this sort of duel, Sheldon concluded, as he began to work along cautiously in the direction of the last shot.
When he arrived at the spot, Tudor was gone, and only his foot-prints remained, pointing out the course he had taken into the depths of the plantation.

Once, ten minutes later, he caught a glimpse of Tudor, a hundred yards away, crossing the same avenue as himself but going in the opposite direction.