Difference between revisions of "Envelope Command"

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{{command|geometry}}
 
{{command|geometry}}
 
{{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 Creating Envelope>, <Moving Point> ]
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;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.
Creates the envelope equation of a set of output paths while the moving point is bound to another object.
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An envelope is a curve that is tangent to each member of the family of the output paths at some point.
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{{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>}}
 
{{Note| See also [[Locus]] command.}}
 
{{Note| See also [[Locus]] command.}}

Revision as of 15:02, 7 January 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:
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.
Note: See also Locus command.
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