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Difference between revisions of "Degree"

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A unit of measurement of planar angles, equal to 1/90 of the right angle; denoted by <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030890/d0308901.png" />. A degree is subdivided into 60 minutes (<img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030890/d0308902.png" />) or 3600 seconds (<img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030890/d0308903.png" />). A right angle has 90 degrees, a straight angle has 180 degrees. Degrees are also used to measure circular arcs (a full circle has 360 degrees).
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A unit of measurement of planar angles, equal to 1/90 of the right angle; denoted by ${}^\circ$. A degree is subdivided into 60 minutes ($60'$) or 3600 seconds ($3600''$). A right angle has 90 degrees, a straight angle has 180 degrees. Degrees are also used to measure circular arcs (a full circle has 360 degrees).
  
  
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Due to computer necessities and increasing precision, computations are more often done in decimal parts and no longer in degrees, minutes and seconds.
 
Due to computer necessities and increasing precision, computations are more often done in decimal parts and no longer in degrees, minutes and seconds.
  
Sometimes, a degree of a number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030890/d0308904.png" /> is an expression of the form <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030890/d0308905.png" /> where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d030/d030890/d0308906.png" /> is also a (suitable) number, see [[Power|Power]].
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Sometimes, a degree of a number $a$ is an expression of the form $a^b$ where $b$ is also a (suitable) number, see [[Power|Power]].
  
There are numerous other ways in which the word degree is used. E.g. degree of a [[Polynomial|polynomial]]; [[Degree of a mapping|degree of a mapping]]; degree of unsolvability, degree of irrationality, and many more. It is also, of course, the name of the unit for temperature measurements in various scales.
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There are numerous other ways in which the word degree is used. E.g. degree of a [[polynomial]]; [[degree of a mapping]]; degree of unsolvability, degree of irrationality, and many more. It is also, of course, the name of the unit for temperature measurements in various scales.

Latest revision as of 19:34, 27 December 2014

A unit of measurement of planar angles, equal to 1/90 of the right angle; denoted by ${}^\circ$. A degree is subdivided into 60 minutes ($60'$) or 3600 seconds ($3600''$). A right angle has 90 degrees, a straight angle has 180 degrees. Degrees are also used to measure circular arcs (a full circle has 360 degrees).


Comments

Due to computer necessities and increasing precision, computations are more often done in decimal parts and no longer in degrees, minutes and seconds.

Sometimes, a degree of a number $a$ is an expression of the form $a^b$ where $b$ is also a (suitable) number, see Power.

There are numerous other ways in which the word degree is used. E.g. degree of a polynomial; degree of a mapping; degree of unsolvability, degree of irrationality, and many more. It is also, of course, the name of the unit for temperature measurements in various scales.

How to Cite This Entry:
Degree. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Degree&oldid=16864
This article was adapted from an original article by E.V. Shikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article