Difference between revisions of "Barycenter Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|geometry|Barycenter}} |
| − | {{command|cas=true|geometry|Barycenter}} | ||
;Barycenter[ <List of Points>, <List of Weights> ] | ;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 12:03, 24 August 2015
- 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
