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Circle
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circle, Circle, Circle - Mathematical definitions, Circle - Properties, Circle - Chord properties, Circle - Inscribed angle theorem, Circle - Secant tangent and chord properties, Circle - Tangent properties, Sphere, Unit circle, Descartes' theorem, Isoperimetric theorem, List of circle topics

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ARTICLES RELATED TO Circle

Circle: Encyclopedia - Circle

A circle, in Euclidean geometry, is the set of all points at a fixed distance, called the radius, from a fixed point, the centre. The points can only be those that are part of a conic section; within the set of a plane bisecting a cone. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word circle is used to mean the interior, with the circle itself called the circumference(C). Usually however, the circumference means the length of the circle, and the interior ...

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Read more here: » Circle: Encyclopedia - Circle

Circle: Encyclopedia - Virtuous circle and vicious circle In many parts of economics there is an assumption that a complex system of determinants will tend to lead to a state of equilibrium. When this tendency is absent we use terms like virtuous circle and vicious circle (or virtuous cycle and vicious cycle) to describe these unstable pattern of events. Both circles are complexes of events with no tendency towards equilibrium (at least in the short run). Both systems of events have feedback loops in which each iteration of the cycle reinforces the first (positive feedback). The diffe

Circle: Encyclopedia II - Imperial Circle - Formation of the circles

Initially six circles were created in 1500 as part of the Reichsreform (Imperial Reform): the Bavarian Circle the Swabian Circle the Upper Rhenish Circle the (Lower Rhenish-)Westphalian Circle the Franconian Circle the Lower Saxon Circle A further four circles were created in 1512: the Burgundian Circle the Austrian Circle the Upper Saxon Circle the Electoral Rhenish Circle These ten circles remained largely unchanged until the early 1790s, when the Wars of the French Revolution brought a ...

In an x-y coordinate system, the circle with centre (a, b) and radius r is the set of all points (x, y) such that If the circle is centred at the origin (0, 0), then this formula can be simplified to x2 + y2 = r2. The circle centred at the origin with radius 1 is called the unit circle. Expressed in parametric equations, (x, y) can be written as x = a + r cos(t)

Circle: Encyclopedia II - Circle - Mathematical definitions

In an x-y coordinate system, the circle with centre (a, b) and radius r is the set of all points (x, y) such that If the circle is centred at the origin (0, 0), then this formula can be simplified to: The circle centred at the origin with radius 1 is called the unit circle. Expressed in parametric equations, (x, ySee also:

Circle, Circle - Mathematical definitions, Circle - Properties, Circle - Chord properties, Circle - Tangent properties, Circle - Inscribed angle theorem, Circle - Secant tangent and chord properties

Circle: Encyclopedia - Vicious circle

The term vicious circle has the following meanings: Circular logic, a kind of logical fallacy. Virtuous circle and vicious circle, in economics. Positive feedback loop, in science Mrs. Parker and the Vicious Circle, a movie A Clothing Company in California, vicious1.com Other related archivesCircular logic, Mrs. Parker and the Vicious Circle, Positive feedback loop, Virtuous circle and vicious circle, economics, logical fallac

Circle: Encyclopedia - Circle of latitude

On the Earth, a circle of latitude or parallel is an imaginary east-west circle that connects all locations with a given latitude. The position on the circle of latitude is given by the longitude. Each is perpendicular to all meridians at the intersection points. Those parallels closer to the poles are smaller than those at or near the Equator. Circles of latitude are based on the rotation of the Earth. Four special ones are based on the relationship with the Earth's orbit arou ...

Circle: Encyclopedia - Blood circle

In Boy Scout terminology, when using a knife or axe, the area within the radius of the arm and blade length combined is called the blood circle or safety circle. This area can be envisioned as a sphere with a person and a sharp instrument at its center. Presumably, anyone within this radius is at risk of being wounded by an accidental slip of the blade. Therefore, it is desirable to ke ...

Circle: Encyclopedia - Writing circles

Writing circles are groups of like-minded people needing support for their work, either through writing critiques, workshops or classes, or just encouragement. Other related archivesclasses, workshops, writing

Circle: Encyclopedia - Closed circle

A closed circle argument is one that is unfalsifiable. Psychoanalytic theory, for example, is held up by the proponents of Karl Popper as an example of an ideology rather than a science. A patient regarded by his psychoanalyst as "in denial" about his sexual orientation may be viewed as confirming he is homosexual simply by denying that he is; and if he has sex with women, he may be accused of trying to buttress his denials. In other words, there is no way the patient could convincingly demonstrate his heterosexuality to his analyst. This is an example of what Popper called a "closed circle". The propositio ...

Circle: Encyclopedia - Crop Circles

This article is about the band, Crop Circles, for information about the controversial phenomenon, see crop circle. Crop Circles was a collaboration between the psychedelic trance band Etnica and a Milanese group called Lotus Omega (Francesco D'Amato and Filippo Scrimizzi). An album, entitled "Tetrahedron", should have been released around 1998, but the project was abandoned because the British label Auracle Recordings went bankrupt. Their most famous work is Full Mental Jackpot (wordplay on Full Metal Jacket). It is a fast track at 138 bpm, wit ...

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Crop Circles - Discography

Crop Circles - EP

Circle: Encyclopedia - Crop circle

This page is about the phenomena of crop circles. For information about the music band, please see Crop Circles. Crop circles are areas of cereal or similar crops that have been systematically flattened to form various geometric patterns. The phenomenon itself only entered the public imagination in its current form after the notable appearances in England in the late 1970s. People who study crop circle phenomena sometimes humorously call themselves "cerealogists", after the usually known name for the pseudoscience that studies crop circles: cereology. ...

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Circle: Encyclopedia - Circle dance

Circle dance, is the most common name for a style of dance usually done in a circle without partners to musical accompaniment. It became popular in the alternative, feminist and new age aspects of western culture in the 1980s and 1990s and continues today. The circle is probably the oldest known dance formation. It is found in the dances of many cultures, including ancient Greece (chorea), African, Eastern European, Irish Celtic, Catalan (sardana), South American and North American Indian. Circle dance mixes traditional folk dances, mainly from European or Near-Eastern sources, with recently choreographed ...

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Circle dance - Sacred Circle Dance

Circle: Encyclopedia - Arctic Circle

The Arctic Circle is one of the five major circles of latitude that mark maps of the Earth. This is the parallel of latitude that (in 2000) runs 66° 33' 39" north of the Equator. Everything north of this circle is known as the Arctic, and the zone just to the south of this circle is the Northern Temperate Zone. The Arctic Circle marks the southern extremity of the polar day of the summer solstice in June and the polar night of the winter solstice in December. Within the Arctic Circle, the arctic Sun is above the horizon for at ...

Circle: Encyclopedia - Unit circle

In mathematics, a unit circle is a circle with unit radius, i.e., a circle whose radius is 1. Frequently, especially in trigonometry, "the" unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. The unit circle is often denoted S1; the generalization to higher dimensions is the unit ball. If (x, y) is a point on the unit circle in the first quadrant, then x and y are the lengths of the legs of a right triangle whose hypotenuse has length 1. Thus, by the Pythagorean theorem, x and ...

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Circle: Encyclopedia - Magic Circle

The Magic Circle is a British organisation dedicated to magic, and magicians who want to join need to demonstrate their skills to existing members. The Magic Circle's headquarters are at 12 Stephenson Way, London. The Magic Circle was founded in 1905, after a meeting of twenty three amateur and professional magicians at London's Pinoli's Restaurant. The first official meeting was held at The Green Man public house in Soho, but meetings were later held in a room at St. George's Hall in Langham Place, where David Devant an ...

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Magic Circle - External link

Circle: Encyclopedia - Vienna Circle

The Vienna Circle was a group of philosophers and scientists organized in Vienna under Moritz Schlick. They met weekly, for the most part, beginning in 1922 and ending in 1936, when Schlick was shot to death by an irate graduate student, Johann Nelböck. Many members had left Austria during the rise of the Nazi party. The Circle clashed with the Nazi party over its ideological and mysticism-based scientific research. Their approach to philo ...

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Vienna Circle - External link

Circle: Encyclopedia - Circle of fifths

In music theory, the circle of fifths is an example of a modulatory space. It consists of all 12 notes of the (equally tempered) chromatic scale. Starting on any note and repeatedly ascending by the musical interval of a perfect fifth, one will eventually land on the same note, after reaching all of the other notes: Descending by fifths, and ascending or descending by fourths also works, since motion in one direction by a fourth is equivalent to motion in the opposite direction by a fifth. For this reason the circle o ...

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Circle: Encyclopedia - Circle-Vision 360°

Circle-Vision 360° is a film technique used for a few attractions at Disney theme parks, such as Epcot's O Canada!, Reflections of China, and Disneyland's defunct America the Beautiful (1967 version), Wonders of China, and American Journeys, which were housed in the Circle-Vision theater in Tomorrowland. The film technique uses nine cameras for nine huge screens arranged in a circle. The cameras are usually mounted on top of an automobile for scenes through cities and highways, while films such as The Timekeeper use a static c ...

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Circle-Vision 360° - Parks that utilise Circle-Vision Technology

Circle: Encyclopedia - Bahá'í study circle

The term study circle has become common terminology in the Bahá'í Faith to describe a specific type of gathering for the study of the Bahá'í teachings. Study circles are a form of distance learning designed to systematically bring education about spiritual concepts to the grassroots level. Because they are intended to be sustainable and reproducible on a large scale, study circles shy away from formally taught classes, opting instead for participatory methods. They are usually led by a tutor whose role is not to act as an e ...