The point of concurrence of the radical axes of three circles with noncollinear centers, taken in pairs, is called the radical center of the three circles.

For a detailed description of the radical center o, use the routine detail (i.e., detail(o))

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

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

$\mathrm{circle}\left(\mathrm{c1}\,x^2+y^2=1\,\left[x\,y\right]\right),\mathrm{circle}\left(\mathrm{c2}\,\left[\mathrm{point}\left(A\,3\,3\right)\,4\right]\,\left[x\,y\right]\right)\:$

$\mathrm{circle}\left(\mathrm{c3}\,{\left(x-2\right)}^2+y^2=\frac{9}{4}\,\left[x\,y\right]\right)\:$

$\mathrm{RadicalCenter}\left(o\,\mathrm{c1}\,\mathrm{c2}\,\mathrm{c3}\right)$

$o$

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

$\mathrm{point2d}$

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

$\left[\frac{11}{16}\,-\frac{3}{16}\right]$