Difference between revisions of "Length Command"
From GeoGebra Manual
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;Length[Point A]: Yields the length of the position vector of the given point . | ;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'']. | ;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{ | + | :{{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.}} | ||
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;Length[List]: Yields the length of the list, which is the number of elements in the list. | ;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[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. | + | ;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 [[FirstCommand]]. |
{{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== |
Revision as of 22:37, 6 October 2011
- 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 FirstCommand.
Note:
See also 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{3}.
- 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{3}.
- Length[Segment]
- Yields the length of the segment.