Let Fig. 20 represent the Huyghenean eye-piece of a microscope; F F
and E E being the field-glass and eye-glass, and L M N the two extreme
rays of each of the three pencils, emanating from the centre and ends
of the object, of which, but for the field-glass, a series of colored
images would be formed from R R to B B; those near R R being red,
those near B B blue, and the intermediate ones green, yellow, and so
on, corresponding with the colors of the prismatic spectrum. This
order of colors, it will be observed, is the reverse of that
described in treating of the common compound microscope (Fig. 12), in
which the single object-glass projected the red image beyond the blue.
The effect just described, of projecting the blue image beyond the
red, is purposely produced for reasons presently to be given, and is
called over-correcting the object-glass as to color. It is to be
observed also that the images B B and R R are curved in the wrong
direction to be distinctly seen by a convex eye-lens, and this is a
further defect of the compound microscope of two lenses. But the
field-glass, at the same time that it bends the rays and converges
them to foci at B´ B´ and R´ R´, also reverses the curvature of the
images as there shown, and gives them the form best adapted for
distinct vision by the eye-glass E E. The field-glass has at the same
time brought the blue and red images closer together, so that they are
adapted to pass uncolored through the eye-glass. To render this
important point more intelligible, let it be supposed that the
object-glass had not been over-corrected, that it had been perfectly
achromatic; the rays would then have become colored as soon as they
had passed the field-glass; the blue rays, to take the central pencil,
for example, would converge at _b_ and the red rays at _r_, which is
just the reverse of what the eye-lens requires; for as its blue focus
is also shorter than its red, it would demand rather that the blue
image should be at _r_ and the red at _b_. This effect we have shown
to be produced by the over-correction of the object-glass, which
protrudes the blue foci B B as much beyond the red foci R R as the sum
of the distances between the red and blue foci of the field-lens and
eye-lens; so that the separation B R is exactly taken up in passing
through those two lenses, and the whole of the colors coincide as to
focal distance as soon as the rays have passed the eye-lens. But while
they coincide as to distance, they differ in another respect; the blue
images are rendered smaller than the red by the superior refractive
power of the field-glass upon the blue rays. In tracing the pencil L,
for instance, it will be noticed that after passing the field-glass,
two sets of lines are drawn, one whole, and one dotted, the former
representing the red, and the latter the blue rays. This is the
accidental effect in the Huyghenean eye-piece pointed out by
Boscovich. This separation into colors at the field-glass is like the
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