Difference between revisions of "Barycenter Command"
From GeoGebra Manual
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| − | :*<code>Barycenter | + | :*<code>Barycenter({(2, 0), (0, 2), (-2, 0), (0, -2)}, {1, 1, 1, 1})</code> yields point ''A(0, 0)'' |
| − | :*<code>Barycenter | + | :*<code>Barycenter({(2, 0), (0, 2), (-2, 0), (0, -2)}, {2, 1, 1, 1})</code> yields point ''B(0.4, 0)''. The ''x''-coordinate of this point was determined by '' <math> \frac{1}{ 2+1+1+1 }*(2*2+1*0+1*(-2)+1*0)</math> = <math>\frac{1}{ 5 }*2</math> = 0.4''</div>}} |
Latest revision as of 10:01, 11 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
