Difference between revisions of "Length Command"
From GeoGebra Manual
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;Length[ <Vector> ] | ;Length[ <Vector> ] | ||
:Yields the length of the vector. | :Yields the length of the vector. | ||
| − | ;Length[ <Point | + | ;Length[ <Point> ] |
:Yields the length of the position vector of the given point . | :Yields the length of the position vector of the given point . | ||
| − | ;Length[ <Function>, < | + | ;Length[ <Function>, <Start x-Value>, <End x-Value> ] |
| − | :Yields the length of the function graph in the interval | + | :Yields the length of the function graph in the given interval. |
:{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> returns 2.23606797749979, about <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> returns 2.23606797749979, about <math>\sqrt{5}</math>.</div>}} | ||
| − | ;Length[ <Function>, <Point | + | ;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[ <Curve>, < | + | ;Length[ <Curve>, <Start x-Value>, <End x-Value> ] |
| − | :Yields the length of the curve between the | + | :Yields the length of the curve between the two values. |
| − | ;Length[ <Curve | + | ;Length[ <Curve>, <Start Point>, <End Point> ] |
| − | :Yields the length of curve | + | :Yields the length of the curve between the two points that lie on the curve. |
;Length[ <List> ] | ;Length[ <List> ] | ||
:Yields the length of the list, which is the number of elements in the list. | :Yields the length of the list, which is the number of elements in the list. | ||
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;Length[ <Locus> ] | ;Length[ <Locus> ] | ||
: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]]. | :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]]. | ||
| − | |||
;Length[ <Arc> ] | ;Length[ <Arc> ] | ||
| − | :Returns the | + | :Returns the ''arc length'' (i.e. just the length of the curved section) of an arc or sector. |
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Length[ <Function>, < | + | ;Length[ <Function>, <x-start>, <x-end> ] |
| − | :Calculates the length of a function graph | + | :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[ <Function>, <Variable a>, <Number t1>, <Number t2> ] | ;Length[ <Function>, <Variable a>, <Number t1>, <Number t2> ] | ||
:Calculates the length of a function graph from point a=''t1'' to point a=''t2''. | :Calculates the length of a function graph from point a=''t1'' to point a=''t2''. | ||
:{{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 [[Image:Tool Distance.gif]] [[Distance or Length Tool|Distance or Length]] tool.</div>}} | ||
Revision as of 11:56, 25 March 2013
- Length[ <Vector> ]
- Yields the length of the vector.
- Length[ <Point> ]
- Yields the length of the position vector of the given point .
- 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 x-Value>, <End x-Value> ]
- Yields the length of the curve between the two values.
- Length[ <Curve>, <Start Point>, <End Point> ]
- Yields the length of the curve between the two points that lie on the curve.
- 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.
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 a>, <Number t1>, <Number t2> ]
- Calculates the length of a function graph from point a=t1 to point a=t2.
- Example:
Length[2 a, a, 0, 1]yields \sqrt{5}.
Note:
See also 
Distance or Length tool.
Distance or Length tool.
