The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Thomas Hobbes · en
3. If a body, without any change of situation of its internal parts, as
a stone, be moved obliquely out of the thinner medium, and proceed
penetrating the thicker medium, and the thicker medium be such, as that
its internal parts being moved restore themselves to their former
situation; the angle refracted will be greater than the angle of
inclination.
For let D B E (in the same first figure) be the separating superficies
of two mediums; and let a body, as a stone thrown, be understood to be
moved as is supposed in the strait line A B C; and let A B be in the
thinner medium, as in the air; and B C in the thicker, as in the water.
I say the stone, which being thrown, is moved in the line A B, will not
proceed in the line B C, but in some other line, namely, that, with
which the perpendicular B H makes the refracted angle H B F greater than
the angle of inclination H B C.
For seeing the stone coming from A, and falling upon B, makes that which
is at B proceed towards H, and that the like is done in all the strait
lines which are parallel to B H; and seeing the parts moved restore
themselves by contrary motion in the same line; there will be contrary
motion generated in H B, and in all the strait lines which are parallel
to it. Wherefore, the motion of the stone will be made by the concourse
of the motions in A G, that is, in D B, and in G B, that is, in B H, and
lastly, in H B, that is, by the concourse of three motions. But by the
concourse of the motions in A G and B H, the stone will be carried to C;
and therefore by adding the motion in H B, it will be carried higher in
some other line, as in B F, and make the angle H B F greater than the
angle H B C.
And from hence may be derived the cause, why bodies which are thrown in
a very oblique line, if either they be any thing flat, or be thrown with
great force, will, when they fall upon the water, be cast up again from
the water into the air.