Volcanoes were uniform from the summit to the base, the
peak of Teyde would have an inclination of 12 degrees 29 minutes,
Vesuvius 12 degrees 41 minutes, and Etna 10 degrees 13 minutes, a
result which must astonish those who do not reflect on what
constitutes an average slope. In a very long ascent, slopes of
three or four degrees alternate with others which are inclined from
25 to 30 degrees; and the latter only strike our imagination, because
we think all the slopes of mountains more steep than they really are.
I may cite in support of this consideration the example of the
ascent from the port of Vera Cruz to the elevated plain of Mexico.
On the eastern slope of the Cordillera a road has been traced,
which for ages has not been frequented except on foot, or on the
backs of mules. From Encero to the small Indian village of Las
Vigas, there are 7500 toises of horizontal distance; and Encero
being, according to my barometric measurement, 746 toises lower
than Las Vigas, the result, for the mean slope, is only an angle of
5 degrees 40 minutes.
In the following note will be seen the results of some experiments
I have made on the difficulties arising from the declivities in
mountainous countries.*
(* In places where there were at the same time slopes covered with
tufted grass and loose sands, I took the following measures: -
5 degrees, slope of a very marked inclination. In France the high
roads must not exceed 4 degrees 46 minutes by law;
15 degrees, slope extremely steep, and which we cannot descend in a
carriage;
37 degrees, slope almost inaccessible on foot, if the ground be
naked rock, or turf too thick to form steps. The body falls
backwards when the tibia makes a smaller angle than 53 degrees with
the sole of the foot;
42 degrees, the steepest slope that can be climbed on foot in a
ground that is sandy, or covered with volcanic ashes.
When the slope is 44 degrees, it is almost impossible to scale it,
though the ground permits the forming of steps by thrusting in the
foot. The cones of volcanoes have a medium slope from 33 to 40
degrees. The steepest parts of these cones, either of Vesuvius, the
Peak of Teneriffe, the volcano of Pichincha, or Jorullo, are from
40 to 42 degrees. A slope of 55 degrees is quite inaccessible. If
seen from above it would be estimated at 75 degrees.)
Isolated volcanoes, in the most distant regions, are very analogous
in their structure. At great elevations all have considerable
plains, in the middle of which arises a cone perfectly circular.
Thus at Cotopaxi the plains of Suniguaicu extend beyond the farm of
Pansache. The stony summit of Antisana, covered with eternal snow,
forms an islet in the midst of an immense plain, the surface of
which is twelve leagues square, while its height exceeds that of
the peak of Teneriffe by two hundred toises.
