This impressed me, until I realized how limited was his sphere of influence.

The other, a shallow concave gradient ( Fig. 1 ), was produced with a so-called `` cone-sphere '' apparatus, the `` cone '' being a 2-liter Erlenmeyer flask and the `` sphere, '' a 2-liter round-bottom flask.

During this term Johnson also made a concerted effort to increase his sphere of interactions ; his higher profile was exemplified by a biographical sketch published in the New York Times in May 1849, describing him as an excellent committee worker and investigator.

When James Bradley and Samuel Molyneux entered this sphere of astronomical research in 1725, there consequently prevailed much uncertainty whether stellar parallaxes had been observed or not ; and it was with the intention of definitely answering this question that these astronomers erected a large telescope at the house of the latter at Kew.

The idea that immediately suggested itself was that the star's declination varied because of short-term changes in the orientation of the Earth's axis relative to the celestial sphere – a phenomenon known as nutation.

His first " continuous tension – discontinuous compression " geodesic dome ( full sphere in this case ) was constructed at the University of Oregon Architecture School in 1959 with the help of students.

The large girth of Blue Steel was determined by the implosion sphere diameter of Green Bamboo.

However, the data he used originated back to epoch B1875. 0, which was when Benjamin A. Gould first made the proposal to designate boundaries for the celestial sphere, a suggestion upon which Delporte would base his work.

But it was not confined to this sphere, and permeated just as strongly his theories of motivation, action, and morality.

The concept of the Dyson sphere was the result of a thought experiment by physicist and mathematician Freeman Dyson, when he theorized that all technological civilizations constantly increased their demand for energy.

Lenin was developing the work of Friedrich Engels, who said that " with each epoch-making discovery, even in the sphere of natural science, materialism has to change its form.

The convention provided for Russian acquiescence that Afghanistan was now outside this sphere of influence, and for Russia to consult directly with Britain on matters relating to Russian-Afghan relations.

E. g., it was his successor Archimedes who proved that a sphere has 2 / 3 the volume of the circumscribing cylinder.

In an effort to keep Albania in the Soviet sphere, increased aid was given but the Albanian leadership continued to move closer towards China.

It was the men who defined these categories, and women were forced to accept male domination in the political sphere.

" A woman ’ s education often consisted of learning to be a good wife and mother ; as a result women were not supposed to be involved in the political sphere, as the limit of their influence was the raising of future citizens.

While the heavens were variously described as being like an umbrella covering the earth ( the Kai Tian theory ), or like a sphere surrounding it ( the Hun Tian theory ), or as being without substance while the heavenly bodies float freely ( the Hsüan yeh theory ), the earth was at all times flat, although perhaps bulging up slightly.

Germany had no direct interest in the Balkans, however, which was largely an Austrian and Russian sphere of influence, although King Carol of Romania was a German prince.

Under Suppiluliuma I and Mursili II, the Empire was extended to most of Anatolia and parts of Syria and Canaan, so that by 1300 BC the Hittites were bordering on the Egyptian sphere of influence, leading to the inconclusive Battle of Kadesh in 1274 BC.

Early in Classical Greece, that the earth is a sphere (" round "), was generally known by all, and around 240 BCE, Eratosthenes ( 276 BCE – 194 BCE ) accurately estimated its circumference.

This economic model based on a partnership between government and business was soon extended to the political sphere, in what came to be known as corporatism.

This method was later used in the 5th century by Chinese father-and-son mathematicians Zu Chongzhi and Zu Geng to find the volume of a sphere (; ).

Since the starting point and ending point are fixed, S is minimized if and only if φ ' = 0, so the curve must lie on a meridian of the sphere φ = φ < sub > 0 </ sub > = constant.

The original sphere from the pendulum was temporarily displayed at the Panthéon in the 1990s ( starting in 1995 ) during renovations at the Musée des Arts et Métiers.

Compact geometries can be visualized by means of closed geodesics: on a sphere, a straight line, when extended far enough in the same direction, will reach the starting point.

For instance, when a massive sphere is caused to roll down a slope starting from a point of unstable equilibrium, then its velocity is assumed to be caused by the force of gravity accelerating it ; the small push that was needed to set it into motion is not explicitly dealt with as a cause.

The inversion of a point P in 3D with respect to a reference sphere centered at a point O with radius R is a point P ' such that and the points P and P ' are on the same ray starting at O.

It is the particular embedding of a sphere in 3-dimensional Euclidean space obtained by the following construction, starting with a standard torus:

One school believed that at 1 degree shift per 100 years, the sphere of fixed stars would return to its starting point after 36, 000 years.

Hence, when she teleports from one spot on Earth to another, she actually teleports herself to her Dyson sphere from her starting point, and then teleports herself from the sphere to the other point on Earth.

* March 12: President Harry Truman announces the Truman Doctrine starting with the giving of aid to Greece and Turkey in order to prevent them from falling into the Soviet sphere

The German Empire created several short-lived satellite buffer states within its sphere of influence after the Treaty of Brest-Litovsk: the ' United Baltic Duchy ', ' Duchy of Courland and Semigallia ', ' Kingdom of Lithuania ', ' Kingdom of Poland ', the ' Belarusian People ’ s Republic ', and the ' Ukrainian State '.

Scotty was aboard a transport shuttle en route to a retirement colony when it crashed into a Dyson sphere ; stranded, he set the transporter to cycle indefinitely and " stored " himself in the buffer for decades before being recovered by the USS Enterprise-D crew in " Relics ".

The major known ancient civilization in the region was that of Mannaeans, a buffer state between Urartian and Assyrian sphere of influence.

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

Almost any form can be represented by some combination of the cube, sphere, cylinder, and cone.

The cone intersects the sphere ( the earth ) at one or two parallels which are chosen as standard lines.

They show that the solution at a given point P, given ( t, x, y, z ) depends only on the data on the sphere of radius ct that is intersected by the light cone drawn backwards from P. It does not depend upon data on the interior of this sphere.

* Spherical sector, portion of a sphere enclosed by a cone of radii from the center of the sphere.

In network branding, the red ribbon and sphere represented entertainment programming, the blue ribbon and cube represented news programming, and the green ribbon and cone referred to sports programming.

A sphere would have a constant optical reflection, and constant coefficient of drag, based on size alone, while a cone would have properties that varied with its orientation.

In constructive solid geometry, primitives are simple geometric shapes such as a cube, cylinder, sphere, cone, pyramid, torus.

So if slices of the cone and the sphere both are to be weighed together, the combined cross-sectional area is:

This means that the cone and the sphere together will balance a cylinder on the other side.

In order for the slices to balance in this argument, each slice of the sphere and the cone should be hung at a distance 1 from the fulcrum, so that the torque will be just proportional to the area.

The condition of balance ensures that the volume of the cone plus the volume of the sphere is equal to the volume of the cylinder.

Subtracting the volume of the cone from the volume of the cylinder gives the volume of the sphere:

He considered this argument to be his greatest achievement, requesting that the accompanying figure of the balanced sphere, cone, and cylinder be engraved upon his tombstone.

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.

There are no details given for the argument, but the obvious reason is that the cone can be divided into infinitesimal cones by splitting the base area up, and the each cone makes a contribution according to its base area, just the same as in the sphere.

Let the surface of the sphere be S. The volume of the cone with base area S and height r is, which must equal the volume of the sphere:.

In a related construction, the quadric S is thought of as the celestial sphere at infinity of the null cone in the Minkowski space R < sup > n + 1, 1 </ sup >, which is equipped with the quadratic form q as above.