Page images
PDF
EPUB

light, the brushes, when they were formed at all, were simply darker than the rest of the field, and, as might have been expected, did not appear of a different tint. In the blue, where the brushes were most distinct, it appeared to the author that they were somewhat shorter than usual. The contrast between the more and less refrangible portions of the spectrum, in regard to their capability of producing brushes, was most striking. The most brilliant part of the spectrum gave no brushes; and the intensity of the orange and more refrangible portion of the red, where not the slightest trace of brushes was discoverable, was much greater than that of the more refrangible portion of the blue, where the brushes were formed with great distinctness, although cæteris paribus a considerable degree of intensity is favourable to the exhibition of the brushes.

These observations account at once for the colour of the brushes seen with ordinary daylight. Inasmuch as no brushes are seen with the less refrangible colours, and the brushes seen with the more refrangible colours consist in the removal of a certain quantity of light, the tint of the brushes ought to be made up of red, yellow, and perhaps a little green, the yellow predominating, on account of its greater brightness in the solar spectrum. The mixture would give an impure yellow, which is the colour observed. The blueness of the side patches may be merely the effect of contrast, or the cause may be more deeply seated. If the total illumination perceived be independent of the brushes, the light withdrawn from the brushes must be found at their sides, which would account, independently of contrast, both for the comparative brightness and for the blue tint of the side patches.

The observations with homogeneous light account likewise for a circumstance with which the author had been struck, namely, that the brushes were not visible by candle-light, which is explained by the comparative poverty of candle-light in the more refrangible rays. The brushes ought to be rendered visible by absorbing a certain quantity of the less refrangible rays, and accordingly the author found that a blue glass, combined with a Nicol's prism, enabled him to see the brushes very distinctly when looking at the flame of a candle. The specimen of blue glass which shewed them best, which was of a tolerably deep colour, gave brushes which were decidedly red, and were only comparatively dark, so that the difference of tint between the brushes and

side patches was far more conspicuous than the difference of intensity. This is accounted for by the large quantity of extreme red rays which such a glass transmits. That the same glass gave red brushes with candle-light, and dark brushes with daylight, is accounted for by the circumstance, that the ratio which the intensity of the transmitted red rays bears to the intensity of the transmitted blue rays is far larger with candle-light than with daylight.

[blocks in formation]

sudden disappearance of central spot
of, on increasing the angle of internal
incidence, 80; explanation of the per-
fect blackness of the central spot of,
89; mode of disappearance of, in pass-
ing the critical angle, 358
Numerical calculation of a class of
definite integrals and infinite series,
329

Pendulum results applicable to the de-
termination of the earth's figure,
irrespective of hypotheses respecting
internal distribution of matter, 140
polarized light, direction of vibrations in,
determined by experiments on diffrac-
tion, 317

precession and nutation, moment of
force causing, is independent of hy-
potheses respecting distribution of
matter in the earth, 118, 132, 142

Railway Bridges, differential equation
relating to the breaking of, discussed,
178
rarefaction a necessary accompaniment
of condensation in a sound-wave pro-
pagated from a centre, 83

reflexion, metallic, 360

refraction of light beyond the critical
angle, 57

reversion, application of the principle
of, to the demonstration of two laws
relating to the reflection of light, 90
ring, single bright, surrounding a dark
centre, in connexion with Newton's
rings, 75

Secondary wave of light, law of disturb-
ance in, determined, 280
semi-convergent series, establishment
and application of, 329

sound, on a difficulty in the theory of,
51; on some points in the received
theory of, 82

sound-wave, alteration of the type of,
when the motion is not small, 52
sphere, steady motion of, in a viscous
fluid, 10

Stanley, Capt., comparison of observa-
tions made by, on waves in open sea,
with theory, 239

Vortex motion, Helmholtz's propositions
respecting, deduced from Cauchy's in-
tegrals, 47

Wave length, determination of, corre-
sponding with any point of the spec-
trum, 176
waves, 221

Willis, Prof., discussion of an equation
relating to experiments by, 178

CAMBRIDGE: PRINTED BY C. J. CLAY AND SON, AT THE UNIVERSITY FEESS.

By the same Author.

MATHEMATICAL AND PHYSICAL PAPERS.

Vol. I. Price 15s.

Vol. III, in the Press.

« PreviousContinue »