If g is a triangle, the centroid is the point of intersections of medians.

For a detailed description of the centroid G, use the routine detail (i.e., detail(G))

Note that the routine only works if the vertices of the triangle are known.

The command with(geometry,centroid) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geometry}\right)\:$

$\mathrm{ps}≔\left[\mathrm{point}\left(A\,0\,0\right)\,\mathrm{point}\left(B\,2\,0\right)\,\mathrm{point}\left(C\,1\,3\right)\,\mathrm{point}\left(F\,1\,6\right)\right]$

$\mathrm{ps}≔\left[A\,B\,C\,F\right]$

$\mathrm{centroid}\left(G\,\mathrm{ps}\right)$

$G$

$\mathrm{form}\left(G\right)$

$\mathrm{point2d}$

$\mathrm{coordinates}\left(G\right)$

$\left[1\,\frac{9}{4}\right]$

$\mathrm{detail}\left(G\right)$

$\begin{array}{ll}\text{name of the object}& G\\ \text{form of the object}& \mathrm{point2d}\\ \text{coordinates of the point}& \left[1\,\frac{9}{4}\right]\end{array}$