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A circle is a simple closed shape. It is the set of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant. The distance between any of the points and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.
A circle is a simple closed curve which divides the plane into two regions: an interior and an exterior
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Circle (other)
In mathematics, a circle generally is the set of all points in a plane at a fixed distance from a fixed point
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Circus
A circus is a company of performers who put on diverse entertainment shows that include clowns, acrobats, trained animals, trapeze acts, musicians, dancers, hoopers, tightrope walkers, jugglers, magicians, unicyclists, as well as other object manipulation and stunt-oriented artists. The term 'circus' also describes the performance which has followed various formats through its 250-year modern history. Philip Astley is credited with being the 'father' of the modern circus when he opened the first circus in 1768 in England. A skilled equestrian, Astley demonstrated trick riding, riding in a circle rather than a straight line as his rivals did, and thus chanced on the format which was later named a 'circus'. In 1770 he hired acrobats, tightrope walkers, jugglers and a clown to fill in the pauses between acts. Performances developed significantly through the next fifty years, with large-scale theatrical battle reenactments becoming a significant feature
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Circular Segment
In geometry, a circular segment (symbol: ⌓) is a region of a circle which is "cut off" from the rest of the circle by a secant or a chord
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Secant Line
In geometry, a secant of a curve is a line that intersects the curve in at least two (distinct) points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant will intersect the circle in exactly two points and a chord is the line segment determined by these two points, that
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Semicircle
In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. The full arc of a semicircle always measures 180° (equivalently, π radians, or a half-turn). It has only one line of symmetry (reflection symmetry)
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Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve y = f (x) at a point x = c on the curve if the line passes through the point (c, f (c)) on the curve and has slope f '(c) where f ' is the derivative of f. A similar definition applies to space curves and curves in n-dimensional Euclidean space.
As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point.
Similarly, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point
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Compass (drafting)
A pair of compasses, also known simply as a compass, is a technical drawing instrument that can be used for inscribing circles or arcs. As dividers, they can also be used as tools to measure distances, in particular on maps. Compasses can be used for mathematics, drafting, navigation and other purposes.
Compasses are usually made of metal or plastic, and consist of two parts connected by a hinge which can be adjusted to allow the changing of the radius of the circle drawn. Typically one part has a spike at its end, and the other part a pencil, or sometimes a pen.
Prior to computerization, compasses and other tools for manual drafting were often packaged as a "bow set" with interchangeable parts
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Creation Myth
A creation myth (or cosmogonic myth) is a symbolic narrative of how the world began and how people first came to inhabit it. While in popular usage the term myth often refers to false or fanciful stories, members of cultures often ascribe varying degrees of truth to their creation myths. In the society in which it is told, a creation myth is usually regarded as conveying profound truths, metaphorically, symbolically and sometimes in a historical or literal sense. They are commonly, although not always, considered cosmogonical myths—that is, they describe the ordering of the cosmos from a state of chaos or amorphousness.
Creation myths often share a number of features
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Halo (religious Iconography)
A halo (from Greek ἅλως, halōs; also known as a nimbus, aureole, glory, or gloriole) is a crown of light rays, circle or disk of light that surrounds a person in art. They have been used in the iconography of many religions to indicate holy or sacred figures, and have at various periods also been used in images of rulers or heroes. In the sacred art of Ancient Greece, Ancient Rome, Hinduism, Buddhism, Islam and Christianity, among other religions, sacred persons may be depicted with a halo in the form of a circular glow, or flames in Asian art, around the head or around the whole body—this last one is often called a mandorla
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Greek Language
Greek (Modern Greek:
Greek language
Greek language text">ελληνικά, elliniká) is an independent branch of the Indo-European family of languages, native to Greece, Cyprus, Albania and other parts of the Eastern Mediterranean and the Black Sea
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Metathesis (linguistics)
Metathesis (/mɪˈtæθɪsɪs/; from Greek μετάθεσις, from μετατίθημι "I put in a different order"; Latin: trānspositiō) is the transposition of sounds or syllables in a word or of words in a sentence
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Homeric Greek
Homeric Greek is the form of the Greek language that was used by Homer in the Iliad and Odyssey and in the Homeric Hymns. It is a literary dialect of
Ancient Greek
Ancient Greek consisting mainly of Ionic and Aeolic, with a few forms from Arcadocypriot and non-Greek languages, and a written form influenced by Attic. It was later named Epic Greek because it was used as the language of epic poetry, typically in dactylic hexameter, by poets such as Hesiod and Theognis of Megara
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Arabic
Arabic (
Arabic
Arabic language">Arabic: العَرَبِيَّة) al-ʻarabiyyah
International Phonetic Alphabet
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Coplanar
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. However, a set of four or more distinct points will, in general, not lie in a single plane.
Two lines in three-dimensional space are coplanar if there is a plane that includes them both. This occurs if the lines are parallel, or if they intersect each other
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Astronomical
Astronomy (from Greek: ἀστρονομία) is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, galaxies, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates outside Earth's atmosphere. Cosmology is a branch of astronomy. It studies the Universe as a whole.
Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Babylonians, Greeks, Indians, Egyptians, Nubians, Iranians, Chinese, Maya, and many ancient indigenous peoples of the Americas
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