Highland Lakes from Landslides, and Surface Geometry

Superimposed equal surfaces are congruent in contact

If two similar and equal surfaces are partly superimposed, what is in common contact is equal in quantity and figure, and so are their remainders. If two surfaces equal in quantity but differing in figure overlap, the contact part is equal in quantity and figure while the untouched parts are equal in quantity but different in figure.

A triangle regains its whole

That part of a surface regains its whole to which its remainder is restored. It is proved with surface a b, an isosceles triangle, from which the portion b is removed, leaving a as part of the triangular surface.

Mountain landslides that dam great rivers

The ruins of mountains, fallen upon their own consumed roots through the continual swift rivers plunging at their feet, close the mouths of the great high valleys. These block the outflow and are the cause of raising the water into new lakes, springs and rivers in high places.

More fire, more force in a bombard

A sketch of a bombard in section carries the principle that the greater the sum of fire kindled in equal time within one same bombard, the greater the power with which its ball is driven.

In alto:

Girato il foglio di 90°, da destra a sinistra:

Figura di triangolo colle lettere:

Colonna successiva:

Due figure colle lettere:

A sinistra delle due figure:

Nell'angolo superiore, schizzo di bombarda in sezione:

At the top:

Turning the sheet 90 degrees, from right to left:

Figure of a triangle with the letters:

Next column:

Two figures with the letters:

To the left of the two figures:

In the upper corner, sketch of a bombard in section:

Highland Lakes from Landslides, and Surface Geometry

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Superimposed equal surfaces are congruent in contact

A triangle regains its whole

Mountain landslides that dam great rivers

More fire, more force in a bombard