Difference between revisions of "Barycenter Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|geometry|Barycenter}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|geometry|Barycenter}} | ||
| − | ;Barycenter | + | ;Barycenter( <List of Points>, <List of Weights> ) |
:Set the center of a system of points in the list, defined as the average of their positions, weighted by their value, using the [[w:Center of mass|proper formula]]. | :Set the center of a system of points in the list, defined as the average of their positions, weighted by their value, using the [[w:Center of mass|proper formula]]. | ||
Revision as of 17:15, 7 October 2017
- Barycenter( <List of Points>, <List of Weights> )
- Set the center of a system of points in the list, defined as the average of their positions, weighted by their value, using the proper formula.
- Examples:
Barycenter[{(2, 0), (0, 2), (-2, 0), (0, -2)}, {1, 1, 1, 1}]yields point A(0, 0)Barycenter[{(2, 0), (0, 2), (-2, 0), (0, -2)}, {2, 1, 1, 1}]yields point B(0.4, 0). The x-coordinate of this point was determined by \frac{1}{ 2+1+1+1 }*(2*2+1*0+1*(-2)+1*0) = \frac{1}{ 5 }*2 = 0.4
