Difference between revisions of "Barycenter Command"

From GeoGebra Manual
Jump to: navigation, search
Line 3: Line 3:
 
;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].
 +
 +
:{{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


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)
© 2021 International GeoGebra Institute