Difference between revisions of "Length Command"
From GeoGebra Manual
(typo and results fixed) |
|||
| Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|cas=true|geometry}} | {{command|cas=true|geometry}} | ||
| − | ;Length[Vector]: Yields the length of the vector. | + | ;Length[ <Vector> ] |
| − | ;Length[Point A]: Yields the length of the position vector of the given point . | + | :Yields the length of the vector. |
| − | ;Length[Function, Number x1, Number x2]: Yields the length of the function graph in the interval [''x1, x2'']. | + | ;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|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | ||
| − | ;Length[Function, Point A, Point B]: Yields the length of the function graph between the two points ''A'' and ''B''. | + | ;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.}} | :{{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>, <Number t1>, <Number 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. | + | :Yields the length of the curve between the parameter values ''t1'' and ''t2''. |
| − | ;Length[List]: Yields the length of the list, which is the number of elements in the list. | + | ;Length[ <Curve c>,< Point A>, <Point B> ] |
| − | ;Length[Text]: Yields the number of characters in the text. | + | :Yields the length of curve ''c'' between two points ''A'' and ''B'' that lie on the curve. |
| − | ;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]]. | + | ;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 Command|Perimeter]][Locus] to get the length of the locus itself. For details see the article about [[First Command]]. | ||
{{note| 1=<div>See also [[Image:Tool Distance.gif]] [[Distance or Length Tool|Distance or Length]] tool.</div>}} | {{note| 1=<div>See also [[Image:Tool Distance.gif]] [[Distance or Length Tool|Distance or Length]] tool.</div>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Length[Function, Number t1, Number t2]: Calculates the length of a function graph from point x=''t1'' to point x=''t2''. | + | ;Length[ <Function>, <Number t1>, <Number t2> ] |
| + | :Calculates the length of a function graph from point x=''t1'' to point x=''t2''. | ||
:{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2x, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | ||
| − | ;Length[Function, Variable a, Number t1, Number t2]: Calculates the length of a function graph from point a=''t1'' to point a=''t2''. | + | ;Length[ <Function>, <Variable a>, <Number t1>, <Number t2> ] |
| + | :Calculates the length of a function graph from point a=''t1'' to point a=''t2''. | ||
:{{example|1=<div><code><nowiki>Length[2a, a, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | :{{example|1=<div><code><nowiki>Length[2a, a, 0, 1]</nowiki></code> yields <math>\sqrt{5}</math>.</div>}} | ||
| − | ;Length[Segment]: Yields the length of the segment. | + | ;Length[ <Segment> ] |
| + | :Yields the length of the segment. | ||
Revision as of 15:52, 18 January 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]yields \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.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[2x, 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[2a, a, 0, 1]yields \sqrt{5}.
- Length[ <Segment> ]
- Yields the length of the segment.
