Difference between revisions of "Envelope Command"
From GeoGebra Manual
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| − | {{command|geometry | + | ;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. |
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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.] 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]] | + | {{Note| See also [[Locus]], [[LocusEquation Command|LocusEquation]] commands and [https://github.com/kovzol/gg-art-doc/tree/master/pdf/english.pdf GeoGebra Automated Reasoning Tools: A Tutorial].}} |
Latest revision as of 17:15, 7 October 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.
Note: See also Locus, LocusEquation commands and GeoGebra Automated Reasoning Tools: A Tutorial.
