Word Finder - spheres

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A regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about its diameter .

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A spherical physical object; a globe or ball.

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The apparent outer limit of space; the edge of the heavens, imagined as a hollow globe within which celestial bodies appear to be embedded.

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Any of the concentric hollow transparent globes formerly believed to rotate around the Earth, and which carried the heavenly bodies; there were originally believed to be eight, and later nine and ten; friction between them was thought to cause a harmonious sound (the music of the spheres).

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An area of activity for a planet; or by extension, an area of influence for a god, hero etc.

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The region in which something or someone is active; one's province, domain.

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The set of all points in three-dimensional Euclidean space (or n-dimensional space, in topology) that are a fixed distance from a fixed point .

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The extension of a general conception, or the totality of the individuals or species to which it may be applied.

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To place in a sphere, or among the spheres; to ensphere.

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To make round or spherical; to perfect.

The hydrosphere is one of the four spheres of the earth.

Consider the case of two concentric spheres, a solid one enclosed in a hollow one.

Yet, allpowerful in their individual spheres of action, they can influence the fortunes of men and can enter into relations with them.

The Governments of Belgrade and Zagreb were to retain their former spheres until a constituent assembly, elected by universal suffrage, could draw up a new constitution.

To these may be added a very short disquisition on the same subject addressed to Adalbold, and a similar one, on one of his own spheres, addressed to Constantine, abbot of Micy.

Of other common types of condenser, we may notice the "spiral" or "worm" type, which consists of a glass, copper or tin worm enclosed in a vessel in which water circulates; and the ball condenser, which consists of two concentric spheres, the vapour passing through the inner sphere and water circulating in the space between this and the outer (in another form the vapour circulates in a shell, on the outside and inside of which water circulates).

Seldom has it happened, since the discovery of the law of gravity, that so profound an impression has been made upon the scientific world at large as by the revelation of the part played by germ-life in nature; seldom has any discovery been fraught with such momentous issues in so many spheres of science and industry.

In foreign affairs, the conclusion of a treaty with Russia for delimiting the British and Russian spheres of influence in the Middle East laid the foundations of entirely new relations between the British and Russian governments.

Between two concentric spheres, with a 2 +A = r 2, a2+A1=a12, A=B =C =a3/3r3, a 3 a 3 a3 _ a3 Cb _1U x r 3 a13 Y'=2 Uy2 r3 3 a13 .

Thus for m =2, the spheres are orthogonal, and it can be verified that a13 a2 3 aY3 i f /' = ZU (I - 13 - 7.2 3 + 3) ' (8) where a l, a2, a =a l a 2 /J (a 1 2 +a 2 2) is the radius of the spheres and their circle of intersection, and r 1, r 2, r the distances of a point from their centres.

Coulomb proved that this mechanical force varies inversely as the square of the distance between the centres of the spheres.

After the return of Columbus and his supposed demonstration that the Indies could be reached by sailing west, disputes might obviously arise between the two powers as to their respective "spheres of influence."

The waves from a source surrounded by a uniform medium at rest spread out as spheres with the source as centre.

If we take one of these spheres a distance from the source very great as compared with a single wave-length, and draw a radius to a point on the sphere, then for some little way round that point the sphere may be regarded as a plane perpendicular to the radius or the line of propagation.

The difficulty arises from a confusion between the spheres of phenomena and noumena.

But with the sole exception of proving that the volumes of spheres are in the triplicate ratio of their diameters, a theorem probably due to Eudoxus, no mention is made of its mensuration.

Systems of spheres have characters analogous to those of systems of circles.

If r, r i be the radii of two spheres, d the distance between the centres, and 0 the angle at which they intersect, then d2=r2+ r12 2rr l cos ¢ hence 2rr 1 cos =d2r2 - r22.

This function is named the "power" of the two spheres, and it is important in the investigation of systems of spheres.

Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.

Corresponding to the radical centre of three circles, it may be shown that four spheres have a radical centre, i.e.

The principle of full equality of electoral rights in all three spheres was not carried out till the republic.

Many branches of the territorial administration had great similarities with those of the State, so that their spheres of activity frequently overlapped and came into collision.

Hippolytus's voluminous writings, which for variety of subject can be compared with those of Origen, embrace the spheres of exegesis, homiletics, apologetics and polemic, chronography and ecclesiastical law.

He therefore claimed in both spheres the supreme administrative, legislative and judicial authority.

Seven lay exhorters were also at the meetings; they were questioned as to their spiritual experience and allotted their several spheres; other matters pertaining to the new conditions created by the revival were arranged.

In the study of the classics, as in other spheres, it was revolution rather than evolution that was loudly demanded.

Gnosticism is to a great extent dominated by the idea that it is above all and in the highest degree important for the Gnostic's soul to be enabled to find its way back through the lower worlds and spheres of heaven ruled by the Seven to the kingdom of light of the supreme deity of heaven.

Common to all these is the dominant position assumed by the " Seven " (headed by Ialdabaoth); the heavenly world lying above the spheres of the Seven is occupied by comparatively few figures, among which the most important part is played by the µ rrlp, who is sometimes enthroned as the supreme goddess in heaven, but in a few systems has already descended from there into matter, been taken prisoner, &c. Numerous little groups are distinguished from the mass, sometimes by one peculiarity, sometimes by another.

The aim of those who framed the Constitution was to avoid friction between the state governments and the Federal government by rendering their respective spheres of action as separate and distinct as possible.

The British North America Act assigns to the different provinces, as to the central parliament, their spheres of control, but all residuary powers are given to the general government.

A, The egg-cell has divided into two spheres, of which the lower contains more food-material, whilst the upper is again incompletely divided into two smaller spheres.

B, 0.1e of the two smaller spheres is reunited to the larger sphere.

Many of the young men and women, who were supposed to be qualifying as specialists in the various spheres of industrial and commercial enterprise, were in reality devoting their time to considering how human society in general, and Russian society in particular, could be reconstructed in accordance with the latest physiological, biological and sociological principles.

These self-governing colonies with their spheres of influence, with vast areas still unpeopled, have a future before them which is dissociated from the methods of an over-peopled Europe, and among them the preservation of peace is the direct object and condition of their progressive development.

The two courts would have separate spheres of activity, and litigants would practically have the option of submitting their differences to a judicial court which would regard itself as being bound by the letter of the law and by judicial methods or to a special court created ad hoc with a purely arbitrative character.

This led to the creation and determination of spheres of influence.

By fixing the areas of these spheres of influence rival states in western and central Africa avoided conflicts and preserved their rights until they were able to take a more effective part in their development.

The idea of " spheres of influence " has in turn been applied even to more settled and civilized countries, such as China and Persia.

C is compensated by permanent magnets athwartships and horizontal; D by masses of soft iron on both sides of the compass, and generally in the form of cast-iron spheres, with their centres in the same horizontal plane as the needles; E is usually too small to require correction; A is fortunately rarely of any value, as it cannot be corrected.

When Mitanni fell Babylon no doubt adhered to its older claims on Mesopotamia; but the Kassite kings could do little to contest the advance of Assyria, although several rectifications of the boundary between their spheres are reported.

Each particle may react in some way on the solvent in its neighbourhood, but if the solution be so dilute that each of these spheres of influence is unaffected by the rest, no further addition of solvent will change the connexion between one particle of solute and its associated solvent.

When the solution ceases to be dilute in the thermodynamic sense of the word, that is, when the spheres of influence of the solute particles intersect each other, this reasoning ceases to apply, and the resulting modification of the gas laws as applied to solutions becomes a matter for further investigation, theoretical or experimental.

In 1840 the class for distinction for science and art, or peace class (Friedensklasse) was founded by Frederick William IV., for those " who have gained an illustrious name by wide recognition in the spheres of science and art."

Both " mission " and " missionary " have hence come to be used of similar works in other spheres.

Lorenz and others have employed similar methods, depending on the observation of the rate of change of temperature at certain points of bars, rings, cylinders, cubes or spheres.

In this duel the victory of Austria was soon declared, The Prussian government believed that the effective government of Germany could only be secured by a separate understanding between the two great powers; and the indiscretion of the Prussian plenipotentiary revealed to the diet a plan for what meant practically the division of Germany into Prussian and Austrian spheres of influence.

In the earliest existing monument of the Hellenic genius, the Homeric poems, one may already observe that regulative sense of form and proportion, which shaped the later achievements of the race in the intellectual and artistic spheres.

Even in the spheres of art and literature, the Italians, while so largely guided by Greek canons, had something of their own to contribute.

In the following March the spheres of interest of Great Britain and France in the Nile basin were defined by a declaration making an addition to Article IV.