# Barycenter Command

From GeoGebra Manual

Revision as of 09:03, 10 July 2012 by Andrea.duringer (talk | contribs)

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) = \frac{1}{ 5 }*2 = 0.4*