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# Turn (geometry)

A turn is a unit of plane angle measurement equal to 2pi radians, 360 degrees or 400 gradians. 

67 relations: Angle, Angle of rotation, Arc (geometry), Barnes & Noble, Binary scaling, Byte, Circumference, Cis (mathematics), Complex dynamics, Complex number, Complex plane, David Gregory (mathematician), Degree (angle), Dover Publications, Dyadic transformation, Electromagnetic coil, External ray, Frank Morley, Fred Hoyle, Gradian, Great circle, HP 39/40 series, HP 49/50 series, HP Prime, IEEE Std 260.1-2004, ISO 80000-3, Journal of the American Statistical Association, Kinematics, Lathe, Leonhard Euler, Mathematical Association of America, Mathematical model, Modulo operation, New Scientist, Percentage, Perimeter, Pi, Pie chart, Plane (geometry), Points of the compass, Polar coordinate system, Protractor, Python (programming language), Quaternion, Quaternions and spatial rotation, Radian, Rational trigonometry, Repeating circle, Revolutions per minute, Rotation, ... Expand index (17 more) »

## Angle

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

## Angle of rotation

In mathematics, the angle of rotation is a measurement of the amount, the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle.

## Arc (geometry)

In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve.

## Barnes & Noble

Barnes & Noble, Inc., a Fortune 500 company, is the bookseller with the largest number of retail outlets in the United States, and a retailer of content, digital media, and educational products.

## Binary scaling

Binary scaling is a computer programming technique used typically in embedded C, DSP and assembler programs to implement floating point operations by using the native integer arithmetic of the processor.

## Byte

The byte is a unit of digital information that most commonly consists of eight bits, representing a binary number.

## Circumference

In geometry, the circumference (from Latin circumferentia, meaning "carrying around") of a circle is the (linear) distance around it.

## Cis (mathematics)

is a less commonly used mathematical notation defined by, where is the cosine function, is the imaginary unit and is the sine.

## Complex dynamics

Complex dynamics is the study of dynamical systems defined by iteration of functions on complex number spaces.

## Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

## Complex plane

In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.

## David Gregory (mathematician)

David Gregory (originally spelt Gregorie) FRS (1661 – 10 October 1708) was a Scottish mathematician and astronomer.

## Degree (angle)

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.

## Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.

The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e., recurrence relation) produced by the rule Equivalently, the dyadic transformation can also be defined as the iterated function map of the piecewise linear function The name bit shift map arises because, if the value of an iterate is written in binary notation, the next iterate is obtained by shifting the binary point one bit to the right, and if the bit to the left of the new binary point is a "one", replacing it with a zero.

## Electromagnetic coil

An electromagnetic coil is an electrical conductor such as a wire in the shape of a coil, spiral or helix.

## External ray

An external ray is a curve that runs from infinity toward a Julia or Mandelbrot set.

## Frank Morley

Frank Morley (September 9, 1860 – October 17, 1937) was a leading mathematician, known mostly for his teaching and research in the fields of algebra and geometry.

## Fred Hoyle

Sir Fred Hoyle FRS (24 June 1915 &ndash; 20 August 2001) was a British astronomer who formulated the theory of stellar nucleosynthesis.

The gradian is a unit of measurement of an angle, equivalent to \frac of a turn, \frac of a degree, or \frac of a radian.

## Great circle

A great circle, also known as an orthodrome, of a sphere is the intersection of the sphere and a plane that passes through the center point of the sphere.

## HP 39/40 series

HP 39/40 series are graphing calculators from Hewlett-Packard, the successors of HP 38G.

## HP 49/50 series

The HP 49/50 series are Hewlett-Packard (HP) manufactured graphing calculators.

## HP Prime

The HP Prime is a graphing calculator introduced by Hewlett-Packard in 2013 and currently manufactured by HP Inc. It was designed with features resembling those of smartphones, such as a full-color touchscreen display and the ability to expand functionality by means of downloadable applications.

## IEEE Std 260.1-2004

IEEE Standard IEEE Std 260.1-2004 provides standard letter symbols for units of measurement for use in all applications in multiple contexts.

## ISO 80000-3

ISO 80000-3:2006 is an ISO standard entitled Quantities and units – Part 3: Space and time, superseding ISO 31-1 and ISO 31-2.

## Journal of the American Statistical Association

The Journal of the American Statistical Association (JASA) is the primary journal published by the American Statistical Association, the main professional body for statisticians in the United States.

## Kinematics

Kinematics is a branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the mass of each or the forces that caused the motion.

## Lathe

A lathe is a tool that rotates the workpiece about an axis of rotation to perform various operations such as cutting, sanding, knurling, drilling, deformation, facing, and turning, with tools that are applied to the workpiece to create an object with symmetry about that axis.

## Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

## Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

## Mathematical model

A mathematical model is a description of a system using mathematical concepts and language.

## Modulo operation

In computing, the modulo operation finds the remainder after division of one number by another (sometimes called modulus).

## New Scientist

New Scientist, first published on 22 November 1956, is a weekly, English-language magazine that covers all aspects of science and technology.

## Percentage

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

## Perimeter

A perimeter is a path that surrounds a two-dimensional shape.

## Pi

The number is a mathematical constant.

## Pie chart

A pie chart (or a circle chart) is a circular statistical graphic which is divided into slices to illustrate numerical proportion.

## Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

## Points of the compass

The points of the compass mark the divisions on a compass, which is primarily divided into four points: north, south, east, and west.

## Polar coordinate system

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

## Protractor

A protractor is a measuring instrument, typically made of transparent plastic or glass, for measuring angles.

## Python (programming language)

Python is an interpreted high-level programming language for general-purpose programming.

## Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

## Quaternions and spatial rotation

Unit quaternions, also known as versors, provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions.

The radian (SI symbol rad) is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics.

## Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales.

## Repeating circle

Developed from the reflecting circle, the repeating circle is an instrument for geodetic surveying, invented by Etienne Lenoir in 1784, while an assistant of Jean-Charles de Borda, who later improved the instrument.

## Revolutions per minute

Revolutions per minute (abbreviated rpm, RPM, rev/min, r/min) is the number of turns in one minute.

## Rotation

A rotation is a circular movement of an object around a center (or point) of rotation.

## RPL (programming language)

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## Scientific American

Scientific American (informally abbreviated SciAm) is an American popular science magazine.

## Spat (unit)

The spat (symbol sp), from the Latin spatium ("space"), is a unit of solid angle.

## Spherical trigonometry

Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

## Springer Vieweg Verlag

Springer Vieweg Verlag (formerly known as Vieweg+Teubner Verlag) is a German publishing company that specializes in books on technical subjects.

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## Tau

Tau (uppercase Τ, lowercase τ; ταυ) is the 19th letter of the Greek alphabet.

## The Mathematical Intelligencer

The Mathematical Intelligencer is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.

## Three-dimensional space

Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).

## Unit circle

In mathematics, a unit circle is a circle with a radius of one.

## Unit interval

In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.

## Versor

In mathematics, a versor is a quaternion of norm one (a unit quaternion).

## Wales

Wales (Cymru) is a country that is part of the United Kingdom and the island of Great Britain.

## William Jones (mathematician)

William Jones, FRS (1675 &ndash; 3 July 1749) was a Welsh mathematician, most noted for his use of the symbol (the Greek letter pi) to represent the ratio of the circumference of a circle to its diameter.

## William Oughtred

William Oughtred (5 March 1574 – 30 June 1660) was an English mathematician and Anglican clergyman.

## Winding number

In mathematics, the winding number of a closed curve in the plane around a given point is an integer representing the total number of times that curve travels counterclockwise around the point.

## References

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