Présentation de tangente_hyperbole_02.jps

/syracuse/bbgraf/albums/coniques/tangente_hyperbole_02.jpg
%% PhS %% fig_conique_18 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 /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 /coul1 {188 255 div 128 255 div 9 255 div setrgbcolor} def [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 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 jaune pointilles [R11 R12 R22 R21] polygone continu omeg O IAcercle cercle [F R O] ligne F R O angledroit %% 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 orange (R) R urtext 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