Of course if the slope becomes less steep, you turn less sideways to the hill and mount it more directly.

The diagram will, perhaps, help to explain the proper way of moving uphill across ground of varying gradient.

Fig. 13.

It represents a slope with a steep-sided gully running down it. The conformation of the ground is indicated by contour lines, as in a map—i.e. imaginary horizontal lines running along the side of the hill, with the same vertical distance between each pair. Where, then, the contour lines in the plan are far apart the slope is gradual, and vice versa.

Since the direction of the fall of the slope is everywhere at right angles with that of the contour lines, its general direction only is shown by the arrow; at either side of the gully its local direction is, of course, nearly at right angles to this.

AB is the track of an experienced ski-runner. Observe that (i) in general shape the line AB resembles the contour lines; (ii) it never cuts the same contour twice; (iii) when the contours are far apart it cuts them at a blunter angle than when they are close together. In other words, the expert (i) makes a détour at the gully; (ii) never loses any height that he has once gained; (iii) moves steadily uphill at a constant gradient, facing the hill more directly where it is less steep, and vice versa.

AC is the track of a beginner. Trying to cut across directly towards B he runs downhill into the gully, but, being of course unable to climb straight up the steep slope on the far side in the direction of B, he has to bear away to the right; and at C, when his track from A is quite as long as the expert’s at B, he is not nearly so far up the hill.