great circle


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great circle

Geometry a circular section of a sphere that has a radius equal to that of the sphere

great circle

The circular intersection on the surface of a sphere of any plane passing through the center of the sphere. A sphere and its great circles are thus concentric and of equal radius. Compare small circle.

Great Circle

(religion, spiritualism, and occult)

A great circle is any circle drawn on a sphere, the plane of which also passes through the inside of the sphere. Great circles are the basis of various systems for locating terrestrial and celestial bodies in terms of sets of coordinates expressed in degrees of a circle. Longitude and latitude are the most familiar of these coordinates. Astrology utilizes several systems of celestial coordinates. Parallel to the manner in which terrestrial coordinates are great circles drawn on the surface of Earth, celestial coordinates are great circles drawn on the inside of the celestial sphere. The ecliptic, the celestial equator, and the prime vertical are examples of some of the great circles used in astrology.

great circle

[′grāt ¦sər·kəl]
(geodesy)
A circle, or near circle, described on the earth's surface by a plane passing through the center of the earth.
(mathematics)
The circle on the two-sphere produced by a plane passing through the center of the sphere.

great circle

great circle
Two great circle in a sphere.
A circle on the surface of the sphere (earth) whose center and radii are those of the sphere itself. Only one great circle may be drawn through two places that are not diametrically opposite on the surface of a sphere. The shortest distance between any two points on the surface is the smaller arc of the great circle joining them. An aircraft following a great circle (other than directly true north or south) will have to alter course constantly. The intersection of a sphere and a plane that does not pass through its center is called a small circle.
References in periodicals archive ?
Great Circle Oceanmaster life rafts comply with Yachting Australia Racing Rules of Sailing 3018-3016.
In 1911 the Great Circle and Octagon Earthworks were public parks, although the Octagon Earthworks had already been leased by a private golf club; part of the agreement was that the public was welcome to tour the grounds.
2] and the referring spherical straight line f which is the great circle at spherical distance 0,5[pi] from both points [F.
This unexpected fact turns out to be even more surprising from the dynamical point of view: the magnitude of the gravitational force (but not its direction) between a body lying on a great circle and a body lying on the complementary great circle is the same, no matter where the bodies are on their respective circles.
Find the great circle which is the locus of points at the intersection of the sphere and the plane.
We should inform them that semicircles of longitude are parts of great circles, circles on the Earth surface centred at the centre of the Earth, and opposite semicircles form a great circle, whereas circles of latitude besides the equator are small circles.
To read the poems of Dalia is to be brought into the great circle of survivors; her words call up memories of arduous journeys and celebrations of victories won.
A "straight line" in an elliptic plane is an arc of great circle on the sphere.
The GPS calculates the magnetic course by conjuring the great circle route based upon the lat/long value of two VORs, and then adds the local magnetic variation at the aircraft's present position.
Viewers stand in the center with the huge painting (called a cyclorama), and real objects like cannons and fences, in a great circle all around them.
The Earthworks are made up of three areas covering four square miles--the Great Circle, the Octagon and Wright Earthworks connected by sets of parallel-walled avenues.
A Guide to Planning and Cruising The Great Circle Route Around the Eastern USA, 2nd Edition G.