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geometry

 RadicalCenter
 find the radical center of three given circles

 Calling Sequence RadicalCenter(o, c1, c2, c3)

Parameters

 o - the name of the radical center c1, c2, c3 - three circles

Description

 • 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.

Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{circle}\left(\mathrm{c1},{x}^{2}+{y}^{2}=1,\left[x,y\right]\right),\mathrm{circle}\left(\mathrm{c2},\left[\mathrm{point}\left(A,3,3\right),4\right],\left[x,y\right]\right):$
 > $\mathrm{circle}\left(\mathrm{c3},{\left(x-2\right)}^{2}+{y}^{2}=\frac{9}{4},\left[x,y\right]\right):$
 > $\mathrm{RadicalCenter}\left(o,\mathrm{c1},\mathrm{c2},\mathrm{c3}\right)$
 ${o}$ (1)
 > $\mathrm{form}\left(o\right)$
 ${\mathrm{point2d}}$ (2)
 > $\mathrm{coordinates}\left(o\right)$
 $\left[\frac{{11}}{{16}}{,}{-}\frac{{3}}{{16}}\right]$ (3)

 See Also

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