%% PhS
%%

35 setxunit
-8 8  setxrange
-6.5 6.5 setyrange

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% procédures
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


/bddroite {
8 dict begin
	/kd exch def
	/kg exch def
	/By exch def
	/Bx exch def
	/B {Bx By} def
	/Ay exch def
	/Ax exch def
	/A {Ax Ay} def
	gsave
	[A A B vecteur kg mulv addv A A B vecteur kd mulv addv] ligne
	grestore
end
	} def



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% definition d'une couleur
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

/coul1 {120 255 div 70 255 div 9 255 div setrgbcolor} def




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% definition des points
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

/a {6} def
/c {5} def
/b {a a mul c c mul sub sqrt} def
/e {c a div} def
/Kx {a e div} def
/K {Kx neg 0} def
/K+ {K 0 6 addv} def
/K- {K 0 -6 addv} def
/Kp {Kx 0} def
/Kp+ {Kp 0 6 addv} def
/Kp- {Kp 0 -6 addv} def
/O {0 0} def
/F {c neg 0} def
/Fp {c 0} def
/S1 {a neg 0} def
/S2 {a 0} def
/B {0 b} def

/xdet {settvar t cos a mul} def
/ydet {settvar t sin b mul} def


/Mx {60 xdet} def
/My {60 ydet} def
/M {Mx My} def
/H {M Kp Kp+ orthoproj} def

/bissec {F M Fp bissectrice} def
/bixx {bissec O S2 interdroite}def
/Mbixx {M bixx vecteur} def
/T {bissec M perp  Kp Kp+ interdroite} def
/MT {M T vecteur} def


/theta1 {c neg a div arccos} def
/Fcons1 {theta1 xdet theta1 ydet} def
/Fcons2 {theta1 neg xdet theta1 neg ydet} def




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% traces
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1 setlinewidth
[O F Fp S1 S2 B K Kp M T H Fcons1 Fcons2] points
[K -0.5 0 addv Kp 0.5 0 addv] ligne
[O 0 -6.5 addv O 0 6.5 addv] ligne

2 setlinewidth
coul1
0 360 settrange
{xdet} {ydet} courbeparam

1 setlinewidth
vert
[K+ K-] ligne
[Kp+ Kp-] ligne
M H Kp angledroit
pointilles
[M H] ligne


bleu
continu
[F M Fp T] ligne
M Fp T angledroit
F M bixx 0.5 (=) tripointarc
bixx M Fp 0.7 (=) tripointarc


orange
continu
M bixx -0.5 1.5 bddroite
M T -1.3 1.8 bddroite
T M bixx angledroit

rouge
Fcons1 Fcons2 -0.2 1.2 bddroite
K Fcons1 -0.05 1.3 bddroite
K Fcons2 -0.2 1.3 bddroite




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% texte
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

setTimesItalic
noir
  (O) O [1.5 dup] dltext
  (F) F [1.5 dup] drtext
  (F') Fp [1.5 dup] dctext
  (B) B [1.5 dup] ultext

<latex>
$ S_1 $
</latex>
  S1 [1.3 dup] dltexlabel

<latex>
$ S_2 $
</latex>
  S2 [1.3 dup] drtexlabel



noir
  (M) M -0.2 0.2 addv [1.5 dup] uctext

vert
  (K) K [1.5 dup] dltext
  (K') Kp [1.5 dup] drtext
  (H) H [1.5 dup] crtext


<latex>
$ \mathcal{D} $
</latex>
K 0 -5 addv [1.5 dup] drtexlabel

<latex>
$ \mathcal{D}' $
</latex>
Kp 0 -5 addv [1.5 dup] drtexlabel


coul1
  (T) T [1.5 dup] urtext