Whenever a mass of mountain is worn gradually away by forces descending
from its top, it _necessarily_ assumes, more or less perfectly,
according to the time for which it has been exposed, and the tenderness
of its substance, such contours as those at _b_, for the simple reason
that every stream and every falling grain of sand gains in velocity and
erosive power as it descends. Hence, cutting away the ground gradually
faster and faster, they produce the most rapid curvature (provided the
rock be hard enough) towards the bottom of the hill.[90]
Sec. 22. But farther: in _b_ it will be noticed that the lines always get
steeper as they fall more and more to the right; and I should think the
reader must feel that they look more natural, so drawn, than, as at _a_,
in unvarying curves.
[Illustration: FIG. 101.]
This is no less easily accounted for. The simplest typical form under
which a hill can occur is that of a cone. Let A C B, Fig. 101, have been
its original contour. Then the aqueous forces will cut away the shaded
portions, reducing it to the outline _d_ C _e_. Farther, in doing so,
the water will certainly have formed for itself gullies or channels from
top to bottom. These, supposing them at equal distances round the cone,
will appear, in perspective, in the lines _g h i_. It does not, of
course, matter whether we consider the lines in this figure to represent
the bottom of the ravines, or the ridges between, both being formed on
similar curves; but the rounded lines in Fig. 100 would be those of
forests seen on the edges of each detached ridge.
Sec. 23. Now although a mountain is rarely perfectly conical, and never
divided by ravines at exactly equal distances, the law which is seen in
entire simplicity in Fig. 101, applies with a sway more or less
interrupted, but always manifest, to every convex and retiring mountain
form. All banks that thus turn away from the spectator necessarily are
thrown into perspectives like that of one side of this figure; and
although not divided with equality, their irregular divisions crowd
gradually together towards the distant edge, being then less steep, and
separate themselves towards the body of the hill, being then more steep.
[Illustration: FIG. 102.]
Sec. 24. It follows, also, that not only the whole of the nearer curves,
will be steeper, but, if seen from below, the steepest parts of them
will be the more important. Supposing each, instead of a curve, divided
into a sloping line and a precipitous one, the perspective of the
precipice, raising its top continually, will give the whole cone the
shape of _a_ or _b_ in Fig. 102, in which, observe, the precipice is of
more importance, and the slope of less, precisely in proportion to the
nearness of the mass.
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