Difference between revisions of "Envelope Command"

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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.
 
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.] </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.}}
 
:{{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.}}
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{{Note| See also [[Locus]], [[LocusEquation]] commands and [https://github.com/kovzol/gg-art-doc/tree/master/pdf/english.pdf GeoGebra Automated Reasoning Tools: A Tutorial].}}

Revision as of 08:26, 27 March 2017


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.
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