Asymptote using geometry.asy – fig0170

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 22 h 02 min

Figure 0017
(Compiled with Asymptote version 2.14svn-r5318)
    
unitsize(1cm);
import geometry;
dotfactor*=1.5;
linemargin=5mm;

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-1,1));
show(currentcoordsys);

point A=(-3,-1), B=(3,4);
line l1=line(A,B);

draw(l1,red);
dot("$A$",A,SE);
dot("$B$",B,NW);

point M=(2,-2);
dot("$M$",M);

/* View the definition of line parallel(point,line) */
draw(parallel(M,l1),red);

/* View the definition of line perpendicular(point,line) */
line perp=perpendicular(M,l1);
draw(perp);

/* View the definition of point intersectionpoint(line,line) */
point interp=intersectionpoint(l1,perp);
dot(interp,green);

/* View the definition of void markrightangle(picture,point,point,point,real,pen,margin,filltype) */
markrightangle(l1.A,interp,rotate(180,interp)*M,size=5mm);

draw(box((-5,-5),(5,5)),invisible);

Étiquettes : , , , , , , ,


Asymptote using geometry.asy – fig0180

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 23 h 02 min

Figure 0018
(Compiled with Asymptote version 2.14svn-r5318)
    
unitsize(1cm);
import geometry;
dotfactor*=1.5;

currentcoordsys=cartesiansystem((0,0),i=expi(pi/8)*(1.5,0),j=expi(pi/8)*(0,1));
show(currentcoordsys);

point A=(-1,-3), B=(5,2);
line l1=line(A,B);

draw(l1,red);
dot("$A$",A,SE);
dot("$B$",B,NW);

point M=(3,-3);
dot("$M$",M);

/* View the definition of transform projection(line) */
point P=projection(l1)*M;
dot("$P$",P,2W);
draw(M--P);
markrightangle(l1.A,P,M);


/* View the definition of transform vprojection(line,bool) */
point Q=vprojection(l1)*M;
dot("$Q$",Q,2W);
draw(M--Q);

/* View the definition of transform hprojection(line,bool) */
point R=hprojection(l1)*M;
dot("$R$",R,2W);
draw(M--R);

/* View the definition of transform projection(line,line,bool) */
point S=projection(l1,line((0,0),(0,1)))*M;
dot("$S$",S,2W);
draw(M--S,red);

draw(box((-1,-4),(7,5)),invisible);

Étiquettes : , , , , , ,


Asymptote using geometry.asy – fig0190

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 0 h 02 min

Figure 0019
(Compiled with Asymptote version 2.14svn-r5318)
    
unitsize(1cm);
import geometry;
dotfactor*=1.5;
linemargin=5mm;

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-1,1));
show(currentcoordsys);

point A=(-3,-3), B=(3,4), C=(1,-2);

line l1=line(A,B);
draw(l1,red);
dot("$A$",A,SE);
dot("$B$",B,NW);

/* View the definition of line line(real,point) */
line l2=line(100,C);
draw(l2,blue);
dot("$C$",C);

point M=relpoint(A--C,0.6);
dot("$M$",M);

/* View the definition of transform projection(line,line,bool) */
point P=projection(l1,l2)*M;
dot("$P$",P,2W);
draw(line(M,P),blue+dashed);

draw(box((-5,-5),(5,5)),invisible);

Étiquettes : , , , ,


Asymptote using geometry.asy – fig0200

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 1 h 02 min

Figure 0020
(Compiled with Asymptote version 2.14svn-r5318)
    
size(12cm);
import geometry;
dotfactor*=1.5;

currentcoordsys=cartesiansystem((2,1),i=(1,1),j=(-4,1));
show(currentcoordsys);

point A=(1,1), B=(2,1);
line l1=line(A,B);

draw(l1);
dot("$A$",A);
dot("$B$",B);

point C=(-1,0), D=(-2,-2);
line l2=line(C,D);

draw(l2);
dot("$C$",C,S);
dot("$D$",D,N);

point M=(2,-0.5);
dot("$M$",M,0.8*red);

/* View the definition of point[] sameside(point,line,line) */
point[] Ms=sameside(M,l1,l2);
draw(M--Ms[0]^^M--Ms[1],0.8red);
dot(Ms[0]^^Ms[1],0.8red);

point P=(-3,-1);
dot("$P$",P,S,blue);

point[] Ps=sameside(P,l1,l2);
draw(P--Ps[0]^^P--Ps[1],blue);
dot(Ps[0]^^Ps[1],blue);

point Q=(2,1.5);
dot("$Q$",Q,N,green);

point[] Qs=sameside(Q,l1,l2);
draw(Q--Qs[0]^^Q--Qs[1],green);
dot(Qs[0]^^Qs[1],green);

Étiquettes : , , , ,