Get it on Google Play
New! Download Unionpedia on your Android™ device!
Faster access than browser!

Turn (geometry)

Index Turn (geometry)

A turn is a unit of plane angle measurement equal to 2pi radians, 360 degrees or 400 gradians. [1]

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, ..., RPL (programming language), Scientific American, Spat (unit), Spherical trigonometry, Springer Science+Business Media, Springer Vieweg Verlag, Steradian, Tau, The Mathematical Intelligencer, Three-dimensional space, Unit circle, Unit interval, Versor, Wales, William Jones (mathematician), William Oughtred, Winding number. Expand index (17 more) »


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.

New!!: Turn (geometry) and Angle · See more »

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.

New!!: Turn (geometry) and Angle of rotation · See more »

Arc (geometry)

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

New!!: Turn (geometry) and Arc (geometry) · See more »

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.

New!!: Turn (geometry) and Barnes & Noble · See more »

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.

New!!: Turn (geometry) and Binary scaling · See more »


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

New!!: Turn (geometry) and Byte · See more »


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

New!!: Turn (geometry) and Circumference · See more »

Cis (mathematics)

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

New!!: Turn (geometry) and Cis (mathematics) · See more »

Complex dynamics

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

New!!: Turn (geometry) and Complex dynamics · See more »

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.

New!!: Turn (geometry) and Complex number · See more »

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.

New!!: Turn (geometry) and Complex plane · See more »

David Gregory (mathematician)

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

New!!: Turn (geometry) and David Gregory (mathematician) · See more »

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.

New!!: Turn (geometry) and Degree (angle) · See more »

Dover Publications

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

New!!: Turn (geometry) and Dover Publications · See more »

Dyadic transformation

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.

New!!: Turn (geometry) and Dyadic transformation · See more »

Electromagnetic coil

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

New!!: Turn (geometry) and Electromagnetic coil · See more »

External ray

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

New!!: Turn (geometry) and External ray · See more »

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.

New!!: Turn (geometry) and Frank Morley · See more »

Fred Hoyle

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

New!!: Turn (geometry) and Fred Hoyle · See more »


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.

New!!: Turn (geometry) and Gradian · See more »

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.

New!!: Turn (geometry) and Great circle · See more »

HP 39/40 series

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

New!!: Turn (geometry) and HP 39/40 series · See more »

HP 49/50 series

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

New!!: Turn (geometry) and HP 49/50 series · See more »

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.

New!!: Turn (geometry) and HP Prime · See more »

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.

New!!: Turn (geometry) and IEEE Std 260.1-2004 · See more »

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.

New!!: Turn (geometry) and ISO 80000-3 · See more »

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.

New!!: Turn (geometry) and Journal of the American Statistical Association · See more »


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.

New!!: Turn (geometry) and Kinematics · See more »


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.

New!!: Turn (geometry) and Lathe · See more »

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.

New!!: Turn (geometry) and Leonhard Euler · See more »

Mathematical Association of America

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

New!!: Turn (geometry) and Mathematical Association of America · See more »

Mathematical model

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

New!!: Turn (geometry) and Mathematical model · See more »

Modulo operation

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

New!!: Turn (geometry) and Modulo operation · See more »

New Scientist

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

New!!: Turn (geometry) and New Scientist · See more »


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

New!!: Turn (geometry) and Percentage · See more »


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

New!!: Turn (geometry) and Perimeter · See more »


The number is a mathematical constant.

New!!: Turn (geometry) and Pi · See more »

Pie chart

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

New!!: Turn (geometry) and Pie chart · See more »

Plane (geometry)

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

New!!: Turn (geometry) and Plane (geometry) · See more »

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.

New!!: Turn (geometry) and Points of the compass · See more »

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.

New!!: Turn (geometry) and Polar coordinate system · See more »


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

New!!: Turn (geometry) and Protractor · See more »

Python (programming language)

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

New!!: Turn (geometry) and Python (programming language) · See more »


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

New!!: Turn (geometry) and Quaternion · See more »

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.

New!!: Turn (geometry) and Quaternions and spatial rotation · See more »


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.

New!!: Turn (geometry) and Radian · See more »

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.

New!!: Turn (geometry) and Rational trigonometry · See more »

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.

New!!: Turn (geometry) and Repeating circle · See more »

Revolutions per minute

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

New!!: Turn (geometry) and Revolutions per minute · See more »


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

New!!: Turn (geometry) and Rotation · See more »

RPL (programming language)


New!!: Turn (geometry) and RPL (programming language) · See more »

Scientific American

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

New!!: Turn (geometry) and Scientific American · See more »

Spat (unit)

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

New!!: Turn (geometry) and Spat (unit) · See more »

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.

New!!: Turn (geometry) and Spherical trigonometry · See more »

Springer Science+Business Media

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.

New!!: Turn (geometry) and Springer Science+Business Media · See more »

Springer Vieweg Verlag

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

New!!: Turn (geometry) and Springer Vieweg Verlag · See more »


No description.

New!!: Turn (geometry) and Steradian · See more »


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

New!!: Turn (geometry) and Tau · See more »

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.

New!!: Turn (geometry) and The Mathematical Intelligencer · See more »

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).

New!!: Turn (geometry) and Three-dimensional space · See more »

Unit circle

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

New!!: Turn (geometry) and Unit circle · See more »

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.

New!!: Turn (geometry) and Unit interval · See more »


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

New!!: Turn (geometry) and Versor · See more »


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

New!!: Turn (geometry) and Wales · See more »

William Jones (mathematician)

William Jones, FRS (1675 – 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.

New!!: Turn (geometry) and William Jones (mathematician) · See more »

William Oughtred

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

New!!: Turn (geometry) and William Oughtred · See more »

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.

New!!: Turn (geometry) and Winding number · See more »

Redirects here:

Centiturn, Complete rotation, Cycle (geometry), Milliturn, Plane unit angle, Plenus angulus, Revolution (geometry), Revolution (unit), Revolving, Round angle, Tau (2pi), Tau (2π), Tau (circle constant), Tau (constant), Tau (mathematical constant), Tau (number), Tau (proposed mathematical constant), Tau (twice pi), Tau circle constant, Tau constant, Turn (angle), Turn (unit), Unit angle, Unit plane angle.


[1] https://en.wikipedia.org/wiki/Turn_(geometry)

Hey! We are on Facebook now! »