Difference between revisions of "Length Command"

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<noinclude>{{Manual Page}}[[Category:Manual (official)|Length Command]]</noinclude>
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<noinclude>{{Manual Page|version=5}}</noinclude>{{command|cas=true|geometry}}
; Length[Vector]: Yields the length of the vector.
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;Length( <Object> )
; Length[Point A]: Yields the length of the position vector of the given point .
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:Yields the length of the object.
; Length[Function, Number x1, Number x2]: Yields the length of the function graph in the interval [''x1, x2''].
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{{examples|1=<div>
; Length[Function, Point A, Point B]: Yields the length of the function graph between the two points ''A'' and ''B''.
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*<code><nowiki>Length( <Vector> )</nowiki></code> yields the length of the vector.
: 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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*<code><nowiki>Length( <Point> )</nowiki></code> yields the length of the position vector of the given point.
; Length[Curve, Number t1, Number t2]: Yields the length of the curve between the parameter values ''t1'' and ''t2''.
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*<code><nowiki>Length( <List> )</nowiki></code> yields the length of the list, which is the number of elements in the list.
; Length[Curve c, Point A, Point B]: Yields the length of curve ''c'' between two points ''A'' and ''B'' that lie on the curve.
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*<code><nowiki>Length( <Text> )</nowiki></code> yields the number of characters in the text.
; Length[List]: Yields the length of the list which is the number of elements in the list.
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*<code><nowiki>Length( <Locus> )</nowiki></code> 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]].
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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.
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</div>}}
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;Length( <Function>, <Start x-Value>, <End x-Value> )
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:Yields the length of the function graph in the given interval.
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:{{example|1=<code><nowiki>Length(2x, 0, 1)</nowiki></code> returns  ''2.236067977'', about <math>\sqrt{5}</math>.}}
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;Length( <Function>, <Start Point>, <End Point> )
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:Yields the length of the function graph between the two points.
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:{{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( <Curve>, <Start t-Value>, <End t-Value> )
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:Yields the length of the curve between the two values '''of the parameter'''.
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;Length( <Curve>, <Start Point>, <End Point> )
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:Yields the length of the curve between the two points that lie on the curve.
  
'''Note:''' Also see tool [[Distance or Length Tool|Distance or Length]].
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==CAS Syntax==
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;Length( <Function>, <Start x-Value>, <End x-Value> )
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:Calculates the length of a function graph between the two points.
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:{{example|1=<code><nowiki>Length(2 x, 0, 1)</nowiki></code> yields <math>\sqrt{5}</math>.}}
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;Length( <Function>, <Variable>, <Start x-Value>, <End x-Value> )
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:Calculates the length of a function graph from ''Start Point'' to ''End Point''.
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:{{example|1=<code><nowiki>Length(2 a, a,  0, 1)</nowiki></code> yields <math>\sqrt{5}</math>.}}
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{{note| 1=See also [[File:Mode distance.svg|link=|22px]] [[Distance or Length Tool|Distance or Length]] tool.}}

Latest revision as of 09:25, 11 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 Mode distance.svg Distance or Length tool.
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