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\psclip{\pscircle(0,0){4}}%\psgrid
%\newlength{\radius}\setlength{\radius}{0cm}
%\newcounter{rapport}\setcounter{i}{1}
%\whiledo{\value{i}<100}{
% \setlength{\radius}{4cm*\value{i}}
% \setcounter{rapport}{\value{i}+1}
% \divide\radius by \arabic{rapport}
% \pscircle[linestyle=dotted, linecolor=gray]%
% (0, 0){\radius}
% \setcounter{i}{\value{i}*2}
% }
\pstGeonode(1, 2){M}\pstGeonode(-2,2){N}\pstGeonode(0,-2){P}%
\psset{DrawCirABC=false, PointSymbol=none, PointName=none}%
\pstGeonode(0,0){O}\pstGeonode(4,0){A}\pstCircleOA{O}{A}%
\pstHomO[HomCoef=\pstDistAB{O}{A} 2 mul \pstDistAB{O}{M} sub
\pstDistAB{O}{M} div]{O}{M}[M']%
\pstHomO[HomCoef=\pstDistAB{O}{A} 2 mul \pstDistAB{O}{P} sub
\pstDistAB{O}{P} div]{O}{P}[P']%
\pstHomO[HomCoef=\pstDistAB{O}{A} 2 mul \pstDistAB{O}{N} sub
\pstDistAB{O}{N} div]{O}{N}[N']%
\psset{linecolor=green, linewidth=1.5pt}%
\pstCircleABC{M}{N}{M'}{OmegaMN}\pstArcOAB{OmegaMN}{N}{M}%
\pstCircleABC{M}{P}{M'}{OmegaMP}\pstArcOAB{OmegaMP}{M}{P}%
\pstCircleABC{N}{P}{P'}{OmegaNP}\pstArcOAB{OmegaNP}{P}{N}%
\psset{linecolor=blue}
%%
\pstHomO[HomCoef=\pstDistAB{OmegaNP}{N} 2 mul \pstDistAB{OmegaNP}{M} sub
\pstDistAB{OmegaNP}{M} div]{OmegaNP}{M}[MH']
\pstCircleABC{M}{M'}{MH'}{OmegaMH}\pstArcOAB{OmegaMH}{MH'}{M}
%% N
\pstHomO[HomCoef=\pstDistAB{OmegaMP}{M} 2 mul \pstDistAB{OmegaMP}{N} sub
\pstDistAB{OmegaMP}{N} div]{OmegaMP}{N}[NH']
\pstCircleABC{N}{N'}{NH'}{OmegaNH}\pstArcOAB{OmegaNH}{N}{NH'}
%% P
\pstHomO[HomCoef=\pstDistAB{OmegaMN}{M} 2 mul \pstDistAB{OmegaMN}{P} sub
\pstDistAB{OmegaMN}{P} div]{OmegaMN}{P}[PH']
\pstCircleABC{P}{P'}{PH'}{OmegaPH}\pstArcOAB{OmegaPH}{P}{PH'}
\endpsclip
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