%% 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 $ S_1 $ S1 [1.3 dup] dltexlabel $ S_2 $ 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 $ \mathcal{D} $ K 0 -5 addv [1.5 dup] dltexlabel $ \mathcal{D} $ Kp 0 -5 addv [1.5 dup] drtexlabel coul1 (T) T [1.5 dup] cltext