Given certain linear and angular measurements, the area must be so and so.
Nor diminishes the If we define as the " dispersion " in a particular part of the spectrum the ratio of the angular interval dB to the corresponding increment of wave-length dX, we may express it by a very simple formula.
Another curious theorem proposed by Bouilland in 1625 as a substitute for Kepler's second law is that the angular motion of the body as measured around the empty focus F' is (approximately) uniform.
A fifth element is the position of the pericentre, which may be expressed by its angular distance XFN from the ascending node.
Neither magnifies angular width of the object under view.
If the angular interval between the components of a double star were equal to twice that expressed in equation (15) above, the central disks of the diffraction patterns would be just in contact.
Two words are almost illegible, and the angular print slants in every direction.
The rate at which work is done on a particular axle is measured by the product where T is the torque or turning moment exerted on the axle by the motor or mechanism applied to it for this purpose, and is the angular velocity of the axle in radians per second.
If the semi-angular aperture (w) be T 36, and tan 0' might be as great as four millions before the error of phase would reach 4X.
It is necessary that the aperture of the pupil be accommodated to the angular extent of the spectrum, or reciprocally.
(7) Thus with g=o, the cylinder will describe a circle with angular velocity 2pw/(a+p), so that the radius is (a+p)v/2pw, if the velocity is v.
With v=o, the angular velocity of the cylinder is 2w; in this way the velocity may be calculated of the propagation of ripples and waves on the surface of a vertical whirlpool in a sink.
Precision on the surface and angular observations of the graphy positions of the heavenly bodies.
The angle from the pericentre to the actual radius vector, and the length of the latter being found, the angular distance of the planet from the node in the plane of the orbit is found by adding to the true anomaly the distance from the node to the pericentre.
Let us now consider the distribution of brightness in the image of a double line whose components are of equal strength, and at such an angular interval that the central line in the image of one coincides with the first zero of brightness in the image of the other.
If the angular interval between the components of a double line be half as great again as that supposed in the figure, the brightness midway between is 1802 as against 1.0450 at the central lines of each image.
The limiting efficiency of the microscope is attained when the angular aperture amounts to 180°; and it is evident that a lateral displacement of the point under observation through -IX entails (at the old image) a phase-discrepancy B Q' of a whole period, one extreme ray FIG.
Mag., 1887) that the angular measurements present less difficulty than the comparison of the grating interval with the standard metre.
Generally only one bow is clearly seen; this is known as the primary rainbow; it has an angular radius of about 410, and exhibits a fine display of the colours of the spectrum, being red on the outside and violet on the inside.
Its angular radius is about J7°.
The mathematical discussion of Airy showed that the primary rainbow is not situated directly on the line of minimum deviation, but at a slightly greater value; this means that the true angular radius of the bow is a little less than that derived from the geometrical theory.
µcxp6s, small, i tthrpov, a measure), an instrument generally applied to telescopes and microscopes for measuring small angular distances with the former or the dimensions of small objects with the latter.
This angle, therefore, divided by the magnifying power of the telescope gives the real angular distance of the centres of a double star.
A ray of light from a lamp is thrown on the mirror, whence it is reflected upon a white surface or scale set at a distance of about 3 ft., forming a bright spot on the surface; the slightest angular deflexion of the mirror, owing to its distance from the scale, moves the spot of light a very appreciable distance to the right or left according to the direction of the angular movement.
The " tetrahedral theory " brought forward by Lowthian Green,' that the form of the earth is a spheroid based on a regular tetrahedron, is more serviceable, because it accounts for three very interesting facts of the terrestrial plan - (1) the antipodal position of continents and ocean basins; (2) the tri angular outline of the continents; and (3) the excess of sea in the southern hemisphere.
Pap,Posterior angular process of mandible.
Sa, Supra-angular or coronoid.
Supra-angular and coronoid splint-bones serve for the insertion of part of the temporal or masseter muscle.
31 a, Angular of mandible.
= RV (2) where T 1, T2, T3, &c. are the torques on the axles whose respective angular velocities are wl,w2, W3, &c.
The blocks are angular, and rest irregularly one upon another, supported in all positions by the angles and edges of those beneath.
Msh2(n-a); (3) so that this ellipse can be rotating with this angular velocity R for an instant without distortion, the ellipse a being fixed.
Now since AP is very small, AL' - PL'= AP sin a, where a is the angular semi-aperture L'AB.
If 2R be the diameter of the objectglass and D the distance of the object, the angle subtended by AP is E/D, and the angular resolving power is given by X/2 D sin a = X/2 R (3) This method of derivation (substantially due to Helmholtz) makes it obvious that there is no essential difference of principle between the two cases, although the results are conveniently stated in different forms. In the case of the telescope we have to deal with a linear measure of aperture and an angular limit of resolution, whereas in the case of the microscope the limit of resolution is linear, and it is expressed in terms of angular aperture.
Deflections of the suspended needle are indicated by the movement of a narrow beam of light which the mirror reflects from a lamp and focusses upon a graduated cardboard scale placed at a distance of a few feet; the angular deflection of the beam of light is, of course, twice that of the needle.
ELONGATION, strictly "lengthening"; in astronomy, the apparent angular distance of a heavenly body from its centre of motion, as seen from the earth; designating especially the angular distance of the planet Mercury or Venus from the sun, or the apparent angle between a satellite and its primary.
They vary in texture from a fine-grained compact oolite to a coarse-grained rock composed of angular or rounded fragments, and they commonly exhibit strongly marked false bedding.
(5) Angular debris fallen from above varying in thickness from one to ten feet.
At a later period the fall of angular fragments at the entrance finally closed the cave, and it ceased to be accessible except to a few burrowing animals, whose remains are found above the second and newer stalagmite floor.
The development from the angular to the curved shape of S may be seen in its occurrences on the early cippus found in the Roman Forum in 1899.
We therefore have the fundamental theorem that the angular velocity of the body around the centre of attraction varies inversely as the square of its distance, and is therefore at every point proportional to the gravitation of the sun.
Instead of the period it is common in astronomical practice to use the mean angular speed, called the mean motion of the body.