Difference between revisions of "Length Command"
From GeoGebra Manual
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{{betamanual|version=4.2| | {{betamanual|version=4.2| | ||
1= | 1= | ||
| − | ; Length[ <Arc> ] | + | ;Length[ <Arc> ] |
| − | : Returns the '''arc length''' (i.e. just the length of the curved section) of an arc or sector. | + | :Returns the '''arc length''' (i.e. just the length of the curved section) of an arc or sector. |
}} | }} | ||
==CAS Syntax== | ==CAS Syntax== | ||
;Length[ <Function>, <Number t1>, <Number t2> ] | ;Length[ <Function>, <Number t1>, <Number t2> ] | ||
:Calculates the length of a function graph from point x=''t1'' to point x=''t2''. | :Calculates the length of a function graph from point x=''t1'' to point x=''t2''. | ||
| − | :{{example|1=<div><code><nowiki>Length[ | + | :{{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[ | + | :{{example|1=<div><code><nowiki>Length[2 a, a, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} |
;Length[ <Segment> ] | ;Length[ <Segment> ] | ||
| − | : | + | :Calculates the length of the segment. |
Revision as of 11:53, 18 September 2012
- Length[ <Vector> ]
- Yields the length of the vector.
- Length[ <Point A> ]
- Yields the length of the position vector of the given point .
- Length[ <Function>, <Number x1>, <Number x2> ]
- Yields the length of the function graph in the interval [x1, x2].
- Example:
Length[2x, 0, 1]returns 2.23606797749979, about \sqrt{5}.
- Length[ <Function>, <Point A>, <Point B> ]
- Yields the length of the function graph between the two points A and B.
- Note: If the given points do not lie on the function graph, their x‐coordinates are used to determine the interval.
- Length[ <Curve>, <Number t1>, <Number t2> ]
- Yields the length of the curve between the parameter values t1 and t2.
- Length[ <Curve c>,< Point A>, <Point B> ]
- Yields the length of curve c between two points A and B 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.
Note:
See also 
Distance or Length tool.
Distance or Length tool. |
Following text is about a feature that is supported only in GeoGebra 4.2.
|
CAS Syntax
- Length[ <Function>, <Number t1>, <Number t2> ]
- Calculates the length of a function graph from point x=t1 to point x=t2.
- 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}.
- Length[ <Segment> ]
- Calculates the length of the segment.
