Difference between revisions of "Length Command"
From GeoGebra Manual
(Yields the length of the curve between the two values '''of the parameter''') |
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<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|cas=true|geometry}} | {{command|cas=true|geometry}} | ||
− | ;Length[ < | + | ;Length[ <Object> ] |
− | :Yields the length of the vector. | + | :Yields the length of the object. |
− | + | {{examples|1=<div> | |
− | + | :*<code><nowiki>Length[ <Vector> ]</nowiki></code> yields the length of the vector. | |
+ | :*<code><nowiki>Length[ <Point> ]</nowiki></code> yields the length of the position vector of the given point. | ||
+ | :*<code><nowiki>Length[ <List> ]</nowiki></code> yields the length of the list, which is the number of elements in the list. | ||
+ | :*<code><nowiki>Length[ <Text> ]</nowiki></code> yields the number of characters in the text. | ||
+ | :*<code><nowiki>Length[ <Locus> ]</nowiki></code> returns the number of points that the given locus is made up of. Use [[Perimeter Command|Perimeter]][Locus] to get the length of the locus itself. For details see the article about [[First Command]]. | ||
+ | :*<code><nowiki>Length[ <Arc> ]</nowiki></code> returns the ''arc length'' (i.e. just the length of the curved section) of an arc or sector. | ||
+ | </div>}} | ||
;Length[ <Function>, <Start x-Value>, <End x-Value> ] | ;Length[ <Function>, <Start x-Value>, <End x-Value> ] | ||
:Yields the length of the function graph in the given interval. | :Yields the length of the function graph in the given interval. | ||
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:{{note| If the given points do not lie on the function graph, their x‐coordinates are used to determine the interval.}} | :{{note| If the given points do not lie on the function graph, their x‐coordinates are used to determine the interval.}} | ||
;Length[ <Curve>, <Start t-Value>, <End t-Value> ] | ;Length[ <Curve>, <Start t-Value>, <End t-Value> ] | ||
− | :Yields the length of the curve between the two values '''of the parameter''' | + | :Yields the length of the curve between the two values '''of the parameter'''. |
;Length[ <Curve>, <Start Point>, <End Point> ] | ;Length[ <Curve>, <Start Point>, <End Point> ] | ||
:Yields the length of the curve between the two points that lie on the curve. | :Yields the length of the curve between the two points that lie on the curve. | ||
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==CAS Syntax== | ==CAS Syntax== | ||
;Length[ <Function>, <x-start>, <x-end> ] | ;Length[ <Function>, <x-start>, <x-end> ] |
Revision as of 11:19, 25 July 2014
- Length[ <Object> ]
- Yields the length of the object.
Examples:
Length[ <Vector> ]
yields the length of the vector.Length[ <Point> ]
yields the length of the position vector of the given point.Length[ <List> ]
yields the length of the list, which is the number of elements in the list.Length[ <Text> ]
yields the number of characters in the text.Length[ <Locus> ]
returns the number of points that the given locus is made up of. Use Perimeter[Locus] to get the length of the locus itself. For details see the article about First Command.Length[ <Arc> ]
returns the arc length (i.e. just the length of the curved section) of an arc or sector.
- Length[ <Function>, <Start x-Value>, <End x-Value> ]
- Yields the length of the function graph in the given interval.
- Example:
Length[2x, 0, 1]
returns 2.23606797749979, about \sqrt{5}.
- Length[ <Function>, <Start Point>, <End Point> ]
- Yields the length of the function graph between the two points.
- Note: If the given points do not lie on the function graph, their x‐coordinates are used to determine the interval.
- Length[ <Curve>, <Start t-Value>, <End t-Value> ]
- Yields the length of the curve between the two values of the parameter.
- Length[ <Curve>, <Start Point>, <End Point> ]
- Yields the length of the curve between the two points that lie on the curve.
CAS Syntax
- Length[ <Function>, <x-start>, <x-end> ]
- Calculates the length of a function graph between the two points.
- Example:
Length[2 x, 0, 1]
yields \sqrt{5}.
- Length[ <Function>, <Variable>, <Start Point>, <End Point> ]
- Calculates the length of a function graph from Start Point to End Point.
- Example:
Length[2 a, a, 0, 1]
yields \sqrt{5}.
Note:
See also Distance or Length tool.