Tracé d’une cubique (mp-geom2d)
Auteur ou autrice : Jean-Michel Sarlat.
Mise en ligne le 19 mai 2025
mp-geom2d a été écrit avec le but de proposer des macros MetaPost permettant de réaliser une figure de géométrie en collant d’assez près à une description impérative :
- Soit $A$ le point de coordonnées $(2,3)$.
- Soit $B$ le point de coordonnées $(4,5)$.
- Trace la droite $(A,B)$.
- ...
Ici, on montre les exemples de la galerie de la documentation à la fois dans l’interface en français et celle en anglais.
Code
input geom2d;
gddU := 0.5cm;
labeloffset := 8pt;
gddTailleLabel := 1;
beginfig(1);
A := Point(3.6,4.8);
B := Point(0,0);
C := Point(10,0);
T := Triangle(A,B,C);
X_74 := Point(3.6,-4.8);
C1 := CourbeDat("K001-1",0);
C2 := CourbeDat("K001-2",1);
CE1 := CercleExinscrit(T,1);
CE2 := CercleExinscrit(T,2);
CE3 := CercleExinscrit(T,3);
I_1 := Centre(CE1);
I_2 := Centre(CE2);
I_3 := Centre(CE3);
CC := CercleCirconscrit(T);
O := Centre(CC);
drawoptions(withcolor LightBlue);
trace Droite(A,B);
trace Droite(B,C);
trace Droite(C,A);
trace Droite(I_1,I_2);
trace Droite(I_2,I_3);
trace Droite(I_3,I_1);
trace CE1;
trace CE2;
trace CE3;
trace CC;
colorie T withcolor LightGrey;
drawoptions(withpen pencircle scaled 1.5);
trace T;
drawoptions(withcolor DodgerBlue withpen pencircle scaled 1.5);
trace Droite(O,A);
trace Droite(X_74, Point(2.2,0));
drawoptions(withpen pencircle scaled 2);
trace C1 withcolor FireBrick;
trace C2 withcolor FireBrick;
drawoptions(withcolor Olive);
trace Droite(A,X_74);
trace Droite(B,X_74);
trace Droite(C,X_74);
drawoptions();
pointe A;
pointe B;
pointe C;
pointe I_1;
pointe I_2;
pointe I_3;
pointe O;
pointe X_74;
marque.urt "A";
marque.llft "B";
marque.lrt "C";
marque.rt "I_1";
marque.rt "I_2";
marque.lft "I_3";
marque.bot "O";
marque.llft "X_74";
Fenetre(-4,-13,16,15);
endfig;
end
% %%% English version
input geom2d;
gddU := 0.5cm;
labeloffset := 8pt;
gddTailleLabel := 1;
beginfig(1);
A := Point(3.6,4.8);
B := Point(0,0);
C := Point(10,0);
T := Triangle(A,B,C);
X_74 := Point(3.6,-4.8);
C1 := CurveData("K001-1",0);
C2 := CurveData("K001-2",1);
CE1 := EscribedCircle(T,1);
CE2 := EscribedCircle(T,2);
CE3 := EscribedCircle(T,3);
I_1 := Center(CE1);
I_2 := Center(CE2);
I_3 := Center(CE3);
CC := CircumscribedCircle(T);
O := Center(CC);
drawoptions(withcolor LightBlue);
gddDraw Line(A,B);
gddDraw Line(B,C);
gddDraw Line(C,A);
gddDraw Line(I_1,I_2);
gddDraw Line(I_2,I_3);
gddDraw Line(I_3,I_1);
gddDraw CE1;
gddDraw CE2;
gddDraw CE3;
gddDraw CC;
colorie T withcolor LightGrey;
drawoptions(withpen pencircle scaled 1.5);
gddDraw T;
drawoptions(withcolor DodgerBlue withpen pencircle scaled 1.5);
gddDraw Line(O,A);
gddDraw Line(X_74, Point(2.2,0));
drawoptions(withpen pencircle scaled 2);
gddDraw C1 withcolor FireBrick;
gddDraw C2 withcolor FireBrick;
drawoptions(withcolor Olive);
gddDraw Line(A,X_74);
gddDraw Line(B,X_74);
gddDraw Line(C,X_74);
drawoptions();
gddDrawPoint A;
gddDrawPoint B;
gddDrawPoint C;
gddDrawPoint I_1;
gddDrawPoint I_2;
gddDrawPoint I_3;
gddDrawPoint O;
gddDrawPoint X_74;
gddMark.urt "A";
gddMark.llft "B";
gddMark.lrt "C";
gddMark.rt "I_1";
gddMark.rt "I_2";
gddMark.lft "I_3";
gddMark.bot "O";
gddMark.llft "X_74";
Window(-4,-13,16,15);
endfig;
end
Mots clés : cubiquecourbedatamp-geom2d
Cet exemple fait partie de la collection d’exemples Documentation de mp-geom2d.
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