% !TEX TS-program = lualatex
% Created by Alain Matthes on 2024-12-25.
% Copyright (c) 2024 AlterMundus.
\documentclass[margin = 12pt]{standalone} 
\usepackage{tkz-euclide}
\usepackage{tkz-elements}

\begin{document} 

\directlua{
init_elements ()
z.A    = point : new ( 0  , 0  )
z.B    = point : new ( 8  , 0  )
z.C    = point : new ( 2  , 6  )
loadfile ("search_circle.lua")(1.4)
}

\begin{tikzpicture}
\tkzGetNodes
\tkzFillPolygon[lightgray!30](A,B,C)
\foreach \n/\c in {1/red,2/orange,3/yellow,4/green,5/blue,6/violet} 
  {\tkzFillCircle[\c!30,opacity=.4](c\n,t\n)
  \tkzDrawCircle[thick,\c](c\n,t\n) }
\tkzDrawPolygon[thick](A,B,C)
\tkzDrawPoints(A,B,C)
\end{tikzpicture}
\end{document}