Présentation de 314.jps

/syracuse/bbgraf/albums/coniques_02/314.jpg
%% auteur : gh %% conique_ellipse.jps 1000 setwidth 600 setheight -2.5 2.5 setxrange -1.5 1.5 setyrange /O {0 0} def /a 2 def /b 1 def /c {a 2 exp b 2 exp sub sqrt} def /F {c neg 0} def /F' {c 0} def /Dx {a 2 exp c div neg 0} def /Dx' {a 2 exp c div 0} def /D {Dx Dx 0 1 addv} def /D' {Dx' Dx' 0 1 addv} def /X {Cos a mul} def /Y {Sin b mul} def traceaxes axesarrow <tex> $$O$$ </tex> O [3 dup] dltexlabel 6 setlinewidth rouge 0 pi 2 mul settrange {X} {Y} courbeparam 3 setlinewidth continu bleu [F F'] points D droite D' droite <tex> $$F$$ </tex> F [3 dup] dctexlabel <tex> $$F'$$ </tex> F' [3 dup] dctexlabel <tex> $$D$$ </tex> Dx 0 1.5 subv [3 dup] urtexlabel <tex> $$D'$$ </tex> Dx' 0 1.5 subv [3 dup] urtexlabel noir <tex> $$a$$ </tex> a 0 [3 dup] urtexlabel <tex> $$b$$ </tex> 0 b [3 dup] urtexlabel <tex> $$c$$ </tex> F' [3 dup] uctexlabel <tex> $$-c$$ </tex> F [3 dup] uctexlabel <tex> $$ -{a^2 \over c} $$ </tex> Dx [3 dup] drtexlabel <tex> $$ {a^2 \over c} $$ </tex> Dx' [3 dup] dltexlabel