Difference between revisions of "Barycenter Command"
From GeoGebra Manual
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;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 [http://en.wikipedia.org/wiki/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 [http://en.wikipedia.org/wiki/Center_of_mass proper formula]. | ||
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| + | :{{example|1= | ||
| + | <code>Barycenter[{(2, 0), (0, 2), (-2, 0), (0, -2)}, {1, 1, 1, 1}]</code> yields point ''A(0,0)''}} | ||
| + | :{{example|1= | ||
| + | <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>''}} | ||
Revision as of 08:36, 10 July 2012
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This page is about a feature that is supported only in GeoGebra 4.2. |
- 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)
