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 ?
For yachts in commercial survey, the Great Circle Oceanmaster[R] life rafts (four to 12 person capacity) are manufactured to ISO 9650 Group 1, the new international life raft standard for blue water, ocean applications.
They passed through the entryways to the Octagon or Great Circle or moved along processional walkways defined as "visitor" rather than "relative" American Indians have not been granted cultural authority at earthworks sites to take on roles such as steward, spiritual leader, or tribal interpreter, because there has been no formal tribal presence in the region for more than 160 years.
The great circle is the equivalent of the Euclidean straight line, it has the finite distance and it is closed.
Consider first the (N + M)-body problem (with N, M [greater than or equal to] 3 and odd) of equal masses, in which N bodies rotate along a great circle of a great sphere at the vertices of a regular N-gon, while the other M bodies rotate along a complementary great circle of another great sphere at the vertices of a regular M-gon.
The buttons down the left-hand side allow you to rotate the sphere, move an element, insert a new point, insert a new great circle (called a 'line'), insert a new geodesic (called a 'segment'), or insert a new circle.
We should use this opportunity to tell them that one nautical mile is the length of the arc along a great circle subtending an angle of one minute and that one knot equals one nautical mile per hour, and ask them about the way to calculate the distance along a circle of longitude, in nautical miles, without converting the latitudinal difference into radians (the latitudinal difference in minutes is the distance in nautical miles).
A completed "straight line" in the elliptic plane is a great circle on the sphere.
The Licking County Visitors and Convention Bureau is relocating its offices to the Great Circle area of the Earthworks.
A Guide to Planning and Cruising The Great Circle Route Around the Eastern USA is an excellent pick for any serious nautical library, offering here the second edition of a voyage the author refers to as the 'longest one-way inland cruise possible in the U.
The circumference of a great circle in Einstein's gravitational field is given by
Despite our differences, we're all part of the great circle of life.
It is not quite the same as the angular separation (measured along a great circle on the sky) or the difference in right ascension (measured along the celestial equator).