Difference between revisions of "Barycenter Command"
From GeoGebra Manual
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{{command|cas=true|geometry|Barycenter}} | {{command|cas=true|geometry|Barycenter}} | ||
;Barycenter[ <List of Points>, <List of Weights> ] | ;Barycenter[ <List of Points>, <List of Weights> ] | ||
Revision as of 11:53, 21 December 2012
- 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.
- Example:
Barycenter[{(2, 0), (0, 2), (-2, 0), (0, -2)}, {1, 1, 1, 1}]yields point A(0,0)
- Example:
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
