Changes

==Etymology==

==Etymology==

[http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English], from Anglo-French, from Latin angulus

[https://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English], from Anglo-French, from Latin angulus

*Date: [http://en.wikipedia.org/wiki/14th_Century 14th century]

*Date: [https://en.wikipedia.org/wiki/14th_Century 14th century]

==Definition==

==Definition==

*1 : a corner whether constituting a projecting part or a partially enclosed [[space]] <they sheltered in an angle of the building>

*1 : a corner whether constituting a projecting part or a partially enclosed [[space]] <they sheltered in an angle of the building>

*5 : a position to the side of an opponent in football from which a player may block his opponent more effectively or without penalty —usually used in the phrases get an angle or have an angle

*5 : a position to the side of an opponent in football from which a player may block his opponent more effectively or without penalty —usually used in the phrases get an angle or have an angle

==Description==

==Description==

In [http://en.wikipedia.org/wiki/Geometry geometry] and [http://en.wikipedia.org/wiki/Trigonometry trigonometry], an '''angle''' (in full, plane angle) is the figure formed by two [http://en.wikipedia.org/wiki/Ray_(geometry) rays] sharing a common [http://en.wikipedia.org/wiki/Endpoint endpoint], called the [http://en.wikipedia.org/wiki/Vertex_(geometry) vertex] of the angle. The [[magnitude]] of the angle is the "amount of rotation" that separates the two rays, and can be [[measured]] by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other.  Where there is no possibility of confusion, the term "angle" is used interchangeably for both the geometric configuration itself and for its angular magnitude (which is simply a [[Number|numerical]] [[quantity]]).

In [https://en.wikipedia.org/wiki/Geometry geometry] and [https://en.wikipedia.org/wiki/Trigonometry trigonometry], an '''angle''' (in full, plane angle) is the figure formed by two [https://en.wikipedia.org/wiki/Ray_(geometry) rays] sharing a common [https://en.wikipedia.org/wiki/Endpoint endpoint], called the [https://en.wikipedia.org/wiki/Vertex_(geometry) vertex] of the angle. The [[magnitude]] of the angle is the "amount of rotation" that separates the two rays, and can be [[measured]] by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other.  Where there is no possibility of confusion, the term "angle" is used interchangeably for both the geometric configuration itself and for its angular magnitude (which is simply a [[Number|numerical]] [[quantity]]).

The word angle comes from the [[Latin]] word angulus, meaning "a corner". The word angulus is a diminutive, of which the primitive form, angus, does not occur in [[Latin]]. Cognate words are the Latin angere, meaning "to compress into a bend" or "to strangle", the Greek ἀγκύλος (ankylοs), [[meaning]] "crooked, curved," and the [[English]] word "ankle." All three are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow".

The word angle comes from the [[Latin]] word angulus, meaning "a corner". The word angulus is a diminutive, of which the primitive form, angus, does not occur in [[Latin]]. Cognate words are the Latin angere, meaning "to compress into a bend" or "to strangle", the Greek ἀγκύλος (ankylοs), [[meaning]] "crooked, curved," and the [[English]] word "ankle." All three are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow".

[http://en.wikipedia.org/wiki/Euclid Euclid] defines a plane angle as the inclination to each other, in a [[plane]], of two lines which meet each other, and do not lie straight with respect to each other. According to [http://en.wikipedia.org/wiki/Proclus Proclus] an angle must be either a [[quality]] or a [[quantity]], or a [[relationship]]. The first concept was used by [http://en.wikipedia.org/wiki/Eudemus Eudemus], who regarded an angle as a deviation from a [http://en.wikipedia.org/wiki/Straight_line straight line]; the second by [http://en.wikipedia.org/wiki/Carpus_of_Antioch Carpus of Antioch], who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative.[http://en.wikipedia.org/wiki/Angle]

[https://en.wikipedia.org/wiki/Euclid Euclid] defines a plane angle as the inclination to each other, in a [[plane]], of two lines which meet each other, and do not lie straight with respect to each other. According to [https://en.wikipedia.org/wiki/Proclus Proclus] an angle must be either a [[quality]] or a [[quantity]], or a [[relationship]]. The first concept was used by [https://en.wikipedia.org/wiki/Eudemus Eudemus], who regarded an angle as a deviation from a [https://en.wikipedia.org/wiki/Straight_line straight line]; the second by [https://en.wikipedia.org/wiki/Carpus_of_Antioch Carpus of Antioch], who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative.[https://en.wikipedia.org/wiki/Angle]

[[Category: Mathematics]]

[[Category: Mathematics]]