Présentation de 019.jps

%% PhS

%% fig_conique_18


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 {4} def
/c {7} def
/b {c c mul a a 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

/R11 {a neg b} def
/R12 {a b} def
/R21 {a neg b neg} def
/R22 {a b neg} def
/omeg {F O milieu} def
/Ry {1 e e mul 1 exch div sub sqrt a mul} def
/R {Kx neg Ry} def

/xdet {settvar t t mul b b mul div 1 add sqrt a mul} def
/ydet {settvar t} def


/Mx {b 0.6 mul xdet} def
/My {b 0.6 mul ydet} def
/M {Mx My} def
/H {M Kp Kp+ orthoproj} def


/bissec {F M Fp bissectrice} def
/T {bissec Kp Kp+ interdroite} def
/U {bissec M perp Kp Kp+ interdroite} def



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% traces

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


1 setlinewidth

[O F Fp S1 S2 B K Kp M T H R] points
F Fp -0.05 1.05 bddroite
[O 0 -6.5 addv O 0 6.5 addv] ligne

coul1
2 setlinewidth
b -1.2 mul b 1.2 mul 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 T 0.5 (=) tripointarc
T M Fp 0.7 (=) tripointarc


orange
continu
M T -0.4 1.3 bddroite
M U -1.3 1.8 bddroite

orange
continu
omeg O IAcercle cercle
[F R O] ligne
F R O angledroit
0.6 setlinewidth
pointilles
[R11 R12 R22 R21] polygone


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% texte

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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

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

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

orange
 (R) R [1.5 dup] urtext

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] cltext


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

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


coul1
  (T) T [1.5 dup] cltext