A View of Sir Isaac Newton's PhilosophyPemberton, Henry
Science
A View of Sir Isaac Newton's Philosophy
Pemberton, Henry
Newton, Isaac, 1642-1727. Principia
2. IT will be understood from what has been said above, that when light
falls upon the surface of glass obliquely, after its entrance into
the glass it is more inclined to the line drawn through the point of
incidence perpendicular to that surface, than before. Suppose a ray of
light issuing from the point A (in fig. 136) falls on a piece of glass
B C D E, whose surface B C, whereon the ray falls, is of a spherical
or globular figure, the center whereof is F. Let the ray proceed in
the line A G falling on the surface B C in the point G, and draw F G
H. Here the ray after its entrance into the glass will pass on in some
line, as G I, more inclined toward the line F G H that the line A G is
inclined thereto; for the line F G H is perpendicular to the surface B
C in the point G. By this means, if a number of rays proceeding from
any one point fall on a convex spherical surface of glass, they shall
be inflected (as is represented in fig. 137,) so as to be gathered
pretty close together about the line drawn through the center of the
glass from the point, whence the rays proceed; which line henceforward
we shall call the axis of the glass: or the point from whence the rays
proceed may be so near the glass, that the rays shall after entring the
glass still go on to spread themselves, but not so much as before; so
that if the rays were to be continued backward (as in fig. 138,) they
should gather together about the axis at a place more remote from the
glass, than the point is, whence they actually proceed. In these and
the following figures A denotes the point to which the rays are related
before refraction, B the point to which they are directed afterwards,
and C the center of the refracting surface. Here we may observe, that
it is possible to form the glass of such a figure, that all the rays
which proceed from one point shall after refraction be reduced again
exactly into one point on the axis of the glass. But in glasses of a
spherical form though this does not happen; yet the rays, which fall
within a moderate distance from the axis, will unite extremely near
together. If the light fall on a concave spherical surface, after
refraction it shall spread quicker than before (as in fig. 139,) unless
the rays proceed from a point between the center and the surface of the
glass. If we suppose the rays of light, which fall upon the glass, not
to proceed from any point, but to move so as to tend all to some point
in the axis of the glass beyond the surface; if the glass have a convex
surface, the rays shall unite about the axis sooner, than otherwise
they would do (as in fig. 140,) unless the point to which they tended
was between the surface and the center of that surface. But if the
surface be concave, they shall not meet so soon: nay perhaps converge.
(See fig. 141 and 142.)
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