Difference between revisions of "Length Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5}}</noinclude>{{command|cas=true|geometry}} | <noinclude>{{Manual Page|version=5}}</noinclude>{{command|cas=true|geometry}} | ||
| − | ;Length | + | ;Length( <Object> ) |
:Yields the length of the object. | :Yields the length of the object. | ||
{{examples|1=<div> | {{examples|1=<div> | ||
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*<code><nowiki>Length[ <Arc> ]</nowiki></code> returns the ''arc length'' (i.e. just the length of the curved section) of an arc or sector. | *<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>}} | </div>}} | ||
| − | ;Length | + | ;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. | ||
:{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> returns ''2.236067977'', about <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> returns ''2.236067977'', about <math>\sqrt{5}</math>.</div>}} | ||
| − | ;Length | + | ;Length( <Function>, <Start Point>, <End Point> ) |
:Yields the length of the function graph between the two points. | :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.}} | :{{note| If the given points do not lie on the function graph, their x‐coordinates are used to determine the interval.}} | ||
| − | ;Length | + | ;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 | + | ;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. | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Length | + | ;Length( <Function>, <Start x-Value>, <End x-Value> ) |
:Calculates the length of a function graph between the two points. | :Calculates the length of a function graph between the two points. | ||
:{{example|1=<div><code><nowiki>Length[2 x, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2 x, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | ||
| − | ;Length | + | ;Length( <Function>, <Variable>, <Start x-Value>, <End x-Value> ) |
:Calculates the length of a function graph from ''Start Point'' to ''End Point''. | :Calculates the length of a function graph from ''Start Point'' to ''End Point''. | ||
:{{example|1=<div><code><nowiki>Length[2 a, a, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2 a, a, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | ||
{{note| 1=<div>See also [[File:Mode distance.svg|link=|22px]] [[Distance or Length Tool|Distance or Length]] tool.</div>}} | {{note| 1=<div>See also [[File:Mode distance.svg|link=|22px]] [[Distance or Length Tool|Distance or Length]] tool.</div>}} | ||
Revision as of 17:15, 7 October 2017
- 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 2.236067977, 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>, <Start x-Value>, <End x-Value> )
- Calculates the length of a function graph between the two points.
- Example:
Length[2 x, 0, 1]yields \sqrt{5}.
- Length( <Function>, <Variable>, <Start x-Value>, <End x-Value> )
- 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.
Distance or Length tool.
