Présentation de tangente_hyperbole.jps

%% PhS

%% fig_conique_17


35 setxunit
-8 8  setxrange
-6.5 6.5 setyrange

/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 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

/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

/coul1 {188 255 div 128 255 div 9 255 div setrgbcolor} def


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


b -1.2 mul b 1.2 mul settrange
{xdet} {ydet} courbeparam

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


coul1
continu
M T -0.4 1.3 bddroite
M U -1.3 1.8 bddroite



%% texte


setTimesItalic
noir
  (O) O dltext
  (F) F drtext
  (F') Fp drtext
  (B) B ultext

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

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



bleu
  (M) M (-5 3) uctext

vert
  (K) K (0 -3) dltext
  (K') Kp drtext
  (H) H cltext
  (D) K 0 -5 addv [1.5 dup] cltext
  (D') Kp 0 -5 addv [1.5 dup] crtext


coul1
  (T) T cltext