* God is an intelligible sphere whose centre is everywhere and whose circumference is nowhere.

The most common geometric arrangement is where some convex polyhedron is in its canonical form, which is to say that the all its edges must be tangent to a certain sphere whose centre coincides with the centre of gravity ( average position ) of the tangent points.

He presented a thought experiment in which electrons are introduced through a small hole in a sphere whose inner surface serves as a detection screen.

After the conquest of Toledo by Alfonso VI of León and Castile, the son of King Alfonso VI, Segovia began restocking with Christians from the north of the peninsula and beyond the Pyrenees, providing it with a significant sphere of influence whose boundaries crossed the Sierra de Guadarrama and the Tagus.

Nortia is the Latinized name of an Etruscan goddess whose sphere of influence was time, fate, destiny and chance.

A personal friend of former Canadian Prime Minister Jean Chrétien, Jiang strengthened China's economic stature abroad, attempting to establish cordial relations with countries whose trade is largely confined to the American economic sphere.

A solar calendar is a calendar whose dates indicate the position of the earth on its revolution around the sun or equivalently the apparent position of the sun moving on the celestial sphere.

Heinrich was a German prince with close associations with the Imperial family and the military ; and there were fears that were the Queen to remain childless, the Dutch Crown " was bound to pass into the possession of a German prince, whose birth, training, and affiliations would naturally have led him to bring Holland within the sphere of the German Empire, at the expense of her independence, both national and economic ", according to one contemporary publication .< ref name = wp1 >

The plant, whose deep roots plunge into the soil to feed, and which at the same time rises into the air to breathe, is a good illustration of organic life in the region of interaction between the upper sphere and the lithosphere, and on the surface of continents it is possible to single out an independent biosphere "-Eduard Suess

It can also mean some kind of average of such distances, or of the radius of a sphere whose curvature matches the curvature of the ellipsoidal model of the Earth at a given point.

As such, it differs from a celestial globe, which is a smooth sphere whose principal purpose is to map the constellations.

In the box T are two wheels ( as in Dr Long's sphere ) and two pinions, whose axes come out at V and U ; either of which may be turned by the small winch W. When the winch is put upon the axis V, and turn backward, the terrestrial globe, with its horizon and celestial meridian, keep at rest ; and the whole sphere of circles turns round from east, by south, to west, carrying the sun Y, and moon Z, round the same way, and causing them to rise above and set below the horizon.

Similarly, a rotation whose axis of rotation lies in the xy plane can be described as a point on a sphere of fixed radius in three dimensions.

Two successive rotations with axes in the xy plane will not necessarily give a rotation whose axis lies in the xy plane, and thus cannot be represented as a point on the sphere.

Irradiance is defined as power per unit area, so the solar luminosity ( total power emitted by the Sun ) is the irradiance received at the Earth ( solar constant ) multiplied by the area of the sphere whose radius is the mean distance between the Earth and the Sun:

This is not the weight of the rocket itself, but rather of a lead sphere whose diameter matches that of the rocket motor, officially defined as " The weight of a lead sphere that is just supported by a tube that the rocket motor will just fit into.

Much of the diplomacy since in eastern Europe, the Caucasus and Central Asia has revolved around which countries are in whose sphere of influence.

A rhumb line can be contrasted with a great circle, which is the path of shortest distance between two points on the surface of a sphere, but whose bearing is non-constant.

Archimedes states that the total volume of the sphere is equal to the volume of a cone whose base has the same surface area as the sphere and whose height is the radius.

The use of Stokes's law in Nernst's case, as well as in Einstein and Smoluchowski, is not strictly applicable since it does not apply to the case where the radius of the sphere is small in comparison with the mean free path.

In a sphere of radius R, the entropy in a relativistic gas increases as the energy increases.

Using Huygens ' theory and the principle of superposition of waves, the complex amplitude at a further point P is found by summing the contributions from each point on the sphere of radius r < sub > 0 </ sub >.

The reduced or parametric latitude, β, is defined by the radius drawn from the centre of the ellipsoid to that point Q on the surrounding sphere ( of radius a ) which is the projection parallel to the Earth's axis of a point P on the ellipsoid at latitude.

Using the rectifying latitude to define a latitude on a sphere of radius

and the radius of the sphere is taken as

The conformal latitude defines a transformation from the ellipsoid to a sphere of arbitrary radius such that the angle of intersection between any two lines on the ellipsoid is the same as the corresponding angle on the sphere ( so that the shape of small elements is well preserved ).

This is because the Earth is not a perfect sphere: its radius is about less at the poles than at the equator.

If the edge length of a regular octahedron is a, the radius of a circumscribed sphere ( one that touches the octahedron at all vertices ) is

and the radius of an inscribed sphere ( tangent to each of the octahedron's faces ) is

If the surface of concentric sphere shells were considered, the number of stars on each shell would be proportional to the square of the radius of the shell.

He estimated the Sun was at an average distance of 1210 Earth radii while the radius of the sphere of the fixed stars was 20, 000 times the radius of the Earth.

In vector notation, the equation of a sphere with center and radius is

This distance r is known as the " radius " of the sphere, and the given point is known as the center of the sphere.

where r is the radius of the sphere and π is the constant pi.

It is also the derivative of the formula for the volume with respect to r because the total volume of a sphere of radius r can be thought of as the summation of the surface area of an infinite number of spherical shells of infinitesimal thickness concentrically stacked inside one another from radius 0 to radius r. At infinitesimal thickness the discrepancy between the inner and outer surface area of any given shell is infinitesimal and the elemental volume at radius r is simply the product of the surface area at radius r and the infinitesimal thickness.

In analytic geometry, a sphere with center ( x < sub > 0 </ sub >, y < sub > 0 </ sub >, z < sub > 0 </ sub >) and radius r is the locus of all points ( x, y, z ) such that

But because it is the function of the mind to turn the one into the other by means of the capacities with which words endow it, we do not unwisely examine the type of distinction, in the sphere of politics, on which decisions hang.

Its sphere is that of royal courts, dynastic quarrels, and vaulting ambitions.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

The inner ( anode ) sphere is pierced, elongated into a cup, and terminated by the phosphor screen.

Now again in 1961, in England, there is perhaps nothing in the religious sphere so popularly discussed as Christian unity.

In astronomy, a given point on the celestial sphere ( that is, the apparent position of an astronomical object ) can be identified using any of several astronomical coordinate systems, where the references vary according to the particular system.

For a solid shape such as a sphere, cone, or cylinder, the area of its boundary surface is called the surface area.

The number of square arcminutes in a complete sphere is

According to the special theory of relativity, the aberration looks as a transform of the celestial sphere due to different frames of reference and is virtually a special case of velocity addition, namely one of the light beam and frames ' relative velocity v. The formula from relativistic aberration can be simplified to

Empirical reason cannot here play the role of establishing rational truths because it goes beyond possible experience and is applied to the sphere of that which transcends it.

The standard projection model for the atom probe is an emitter geometry that is based upon a revolution of a conic section, such as a sphere, hyperboloid or paraboloid.

The yellow sphere is the redox | redox-active sulfur atom that provides antioxidant activity, while the red, blue, white, and dark grey spheres represent oxygen, nitrogen, hydrogen, and carbon atoms, respectively.

Therefore being is a homogeneous and non-differentiated sphere and the appearance of beings is illusory.

* The Lusternik – Schnirelmann theorem: If the sphere S < sup > n </ sup > is covered by n + 1 open sets, then one of these sets contains a pair ( x, − x ) of antipodal points.

Biotechnology draws on the pure biological sciences ( genetics, microbiology, animal cell culture, molecular biology, biochemistry, embryology, cell biology ) and in many instances it is also dependent on knowledge and methods from outside the sphere of biology ( chemical engineering, bioprocess engineering, information technology, biorobotics ).

A ballpoint pen ( Philippine English: ballpen, British English: biro ) is a writing instrument, with an internal ink reservoir and a sphere for a point.

The internal chamber is filled with a viscous ink that is dispensed at its tip during use by the rolling action of a small sphere.