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A circle bounds a region of the plane called a disc. The circle has been known since before the beginning of recorded history. Natural circles are common, such as the full moon or a slice of round fruit. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern
25 Geometry and other areas of mathematics. 26 Glyphs and symbols. ... Circle inversion fractal; De Rham curve; ... 10 Schläfli–Hess polychora: 1 honeycomb: 4: 0: 11:
Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the integer part. [2] The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle.
Magic circle (mathematics) – Chinese mathematical arrangement; Malfatti circles – Three tangent circles in a triangle; Nine-point circle – Circle constructed from a triangle; Orthocentroidal circle – Circle constructed from a triangle; Osculating circle – Circle of immediate corresponding curvature of a curve at a point
German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number , and there are many questions about primes that appear simple but whose ...
This is a list of Wikipedia articles about curves used in different fields: mathematics ... Circle. Unit circle; Ellipse; Parabola; Hyperbola. Unit hyperbola; Degree 3.
The circumference of a circle is the distance around it, but if, as in many elementary treatments, distance is defined in terms of straight lines, this cannot be used as a definition. Under these circumstances, the circumference of a circle may be defined as the limit of the perimeters of inscribed regular polygons as the number of sides ...
The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.
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