input latexmp;
setupLaTeXMP(class="article",options="12pt",fontencoding="T1",inputencoding="latin1",language="frenchb",packages="fourier,textpathmp");
input textpath;

prologues:=2;

input geometriesyr16;

figure(-10u,-10u,15u,15u);
pair A,O,P[],Q[],M[],N[];
A=(0,0);
path cc;
cc=cercles(A,5u);
O-A=u*(3,2);
for k=0 step 1 until 360:
  P[k]=pointarc(cc,k);
  Q[k]=demidroite(iso(O,P[k]),O) intersectionpoint cc;
  M[k]=cercles(O,abs(P[k]-Q[k])) intersectionpoint demidroite(P[k],Q[k]);
  N[k]=symetrie(M[k],O);
endfor;
drawoptions(dashed evenly withcolor gris);
trace cc;
drawoptions(withcolor rouge);
path ovaledebooth;
ovaledebooth=N0
for k=1 upto 360:
  --N[k]
endfor
--cycle;
trace ovaledebooth;
drawoptions(withcolor bleu);
trace textpath("\Large Ovale de Booth",ovaledebooth,0);
fin;
end