Difference between revisions of "Envelope Command"

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{{warning|This GeoGebra command is heavily under construction. Expect to encounter various problems when trying it out. The syntax or the output of this command may be subject to change.}}
 
{{warning|This GeoGebra command is heavily under construction. Expect to encounter various problems when trying it out. The syntax or the output of this command may be subject to change.}}
;Envelope[ <Path>, <Point> ]: Creates the [http://en.wikipedia.org/wiki/Envelope_(mathematics) envelope] equation of a set of output paths while the moving point is bound to another object.
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;Envelope[ <Path>, <Point> ]: Creates the [[w:Envelope_(mathematics) |envelope]] equation of a set of output paths while the moving point is bound to another object.
 
An envelope is a curve that is tangent to each member of the family of the output paths at some point.
 
An envelope is a curve that is tangent to each member of the family of the output paths at some point.
:{{example| 1=<div>[http://www.geogebra.org/student/m67909 A ladder is leaning against the wall and sliding down.]The contour of its trace will be the envelope of the ladder. Strictly speaking, GeoGebra computes the envelope of the entire line containing the ladder as a segment. Only such envelopes can be computed where the appropriate construction leads to an algebraic equation system.</div>}}
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:{{example| 1=<div>[http://www.geogebra.org/student/m67909 A ladder is leaning against the wall and sliding down.] </div>The contour of its trace will be the envelope of the ladder. Strictly speaking, GeoGebra computes the envelope of the entire line containing the ladder as a segment. Only such envelopes can be computed where the appropriate construction leads to an algebraic equation system.}}
 
{{Note| See also [[Locus]] command.}}
 
{{Note| See also [[Locus]] command.}}

Revision as of 08:30, 29 July 2014



Warning Warning: This GeoGebra command is heavily under construction. Expect to encounter various problems when trying it out. The syntax or the output of this command may be subject to change.
Envelope[ <Path>, <Point> ]
Creates the envelope equation of a set of output paths while the moving point is bound to another object.

An envelope is a curve that is tangent to each member of the family of the output paths at some point.

Example: The contour of its trace will be the envelope of the ladder. Strictly speaking, GeoGebra computes the envelope of the entire line containing the ladder as a segment. Only such envelopes can be computed where the appropriate construction leads to an algebraic equation system.
Note: See also Locus command.
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