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geometry

 circumcircle
 find the circumcircle of a given triangle

 Calling Sequence circumcircle(cc, T, cn)

Parameters

 cc - the name of the circumcircle T - triangle 'centername' = cn - (optional) where cn is a name of the center of circumcircle

Description

 • The circumcircle cc of a triangle T is a circle circumscribed about the triangle.
 • If the optional argument is given and is of the form 'centername' = cn where cn is name, cn will be the name of the center of cc.
 • For a detailed description of the circumcircle cc, use the routine detail (i.e., detail(cc);)
 • Note that the routine only works if the vertices of the triangle are known.
 • The command with(geometry,circumcircle) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{triangle}\left(T,\left[\mathrm{point}\left(A,0,0\right),\mathrm{point}\left(B,2,0\right),\mathrm{point}\left(C,1,3\right)\right]\right):$
 > $\mathrm{circumcircle}\left(\mathrm{Elc},T,'\mathrm{centername}'=\mathrm{OO}\right)$
 > $\mathrm{detail}\left(\mathrm{Elc}\right)$
 > $\mathrm{draw}\left(\left\{\mathrm{Elc},T\right\},\mathrm{printtext}=\mathrm{true}\right)$