The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Thomas Hobbes · en
For let A B (in fig. 2) be the superficies of the water; into which,
from the point C, let a stone be thrown in the strait line C A, making
with the line B A produced a very little angle C A D; and producing B A
indefinitely to D, let C D be drawn perpendicular to it, and A E
parallel to C D. The stone therefore will be moved in C A by the
concourse of two motions in C D and D A, whose velocities are as the
lines themselves C D and D A. And from the motion in C D and all its
parallels downwards, as soon as the stone falls upon A, there will be
reaction upwards, because the water restores itself to its former
situation. If now the stone be thrown with sufficient obliquity, that
is, if the strait line C D be short enough, that is, if the endeavour of
the stone downwards be less than the reaction of the water upwards, that
is, less than the endeavour it hath from its own gravity (for that may
be), the stone will by reason of the excess of the endeavour which the
water hath to restore itself, above that which the stone hath downwards,
be raised again above the superficies A B, and be carried higher, being
reflected in a line which goes higher, as the line A G.
[Sidenote: Endeavour, which from one point tendeth every way, will be so
refracted, as that the sine of the angle refracted will be to
the sine of the angle of inclination, as the density of the
first medium is to the density of the second medium,
reciprocally taken.]
4. If from a point, whatsoever the medium be, endeavour be propagated
every way into all the parts of that medium; and to the same endeavour
there be obliquely opposed another medium of a different nature, that
is, either thinner or thicker; that endeavour will be so refracted, that
the sine of the angle refracted, to the sine of the angle of
inclination, will be as the density of the first medium to the density
of the second medium, reciprocally taken.