Tag Draw (2D) -- Asymptote Gallery

🔗Asymptote Gallery Tagged by “Draw (2D)” #4

🔗geometry-fig016

Figure geometry 016 Generated with Asymptote

size(10cm);
import geometry;
dotfactor*=1.5;
linemargin = 5mm;

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

point A=(1,1), B=(2,1);
/*<asyxml><view file="modules/geometry.asy" type="" signature="struct line"/></asyxml>*/
line l1=line(A,B);/*<asyxml><view file="modules/geometry.asy" type="line" signature="line(point,bool,point,bool)"/></asyxml>*/

/*<asyxml><view file="modules/geometry.asy" type="void" signature="draw(picture,Label,line,bool,bool,align,pen,arrowbar,Label,marker)"/></asyxml>*/
draw(l1,red);
dot("$A$",A);
dot("$B$",B);

for (int i=0; i<10; ++i){
  pair bad=(i,l1.slope*i+l1.origin);
  point good=bad;
  draw(Label("bad",align=S),bad,linewidth(2bp));
  draw(Label(good @ l1 ? "good":"bad",align=W),good,linewidth(2bp));
}

🔗geometry-fig024

Figure geometry 024 Generated with Asymptote

import geometry;
size(15cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.25),j=(-0.25,.75));
// show(lj=Label("$\vec{\jmath}$",EndPoint), currentcoordsys);

point A=(-1,-0.5);
point B=(1,-0.5);
point C=(-1,0.5);

line l1=line(A,B);
draw("$(l_1)$",l1,red);

/*<asyxml><view file="modules/geometry.asy" type="" signature="struct segment"/></asyxml>*/
segment s=segment(A,B);
draw(s, linewidth(2bp));
dot("$A$", A, SW);
dot("$B$", B, SE);
dot("$C$", C, S);

segment s1=parallel(C,s);
draw(Label("$s_1$",Relative(0.75)),s1);

Label lt=Label("Complementary of $s_1$",Relative(0.5),align=N,grey);
Label[] L={lt, lt};

/*<asyxml><view file="modules/geometry.asy" type="line[]" signature="complementary(explicit segment)"/></asyxml>*/
line[] cs1=complementary(s1);

/*<asyxml><view file="modules/geometry.asy" type="void" signature="draw(picture,Label[],line[],align,pen,arrowbar,Label,marker)"/></asyxml>*/
draw(L, cs1, 2mm+lightgrey);

draw(box(locate((-2.5,-1)),locate((2.5,1))), invisible);

🔗geometry-fig033

Figure geometry 033 Generated with Asymptote

import geometry;
size(10cm);

point F=(2,-1.5);
dot("$F$",F,N,red);

// Enlarge the bounding box of the current picture.
draw(box((-1,-1),(3,1.5)),dashed);//,invisible);

parabola p=parabola(F,0.2,90);

// Define the bounding box to draw the parabola.
// Try finalbounds(); to determine the final bounding box.
p.bmin=(-0.75,-0.4);
p.bmax=(2.75,0.75);

draw(box(p.bmin,p.bmax),red);

draw(p,dashed);/* Defered drawing to adjust the path to the final
                  bounding box.*/

draw((path)p,red); /* The path of 'p' is restricted to the box whose
                  the corners are p.bmin, p.bmax.*/

🔗geometry-fig034

Figure geometry 034 Generated with Asymptote

import geometry;
size(10cm,0);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75));
// show(currentcoordsys);

point F1=(1,0);
point F2=(4,1);
dot("$F_1$",F1,W);
dot("$F_2$",F2);

// Enlarge the bounding box of the current picture
draw(box((0,-2), (5,4)), invisible);

/*<asyxml><view file="modules/geometry.asy" type="hyperbola" signature="hyperbola(point,point,real,bool)"/></asyxml>*/
hyperbola h=hyperbola(F1, F2, 0.9);
draw(h, linewidth(3mm));
draw(h.A1, grey);
draw(h.A2, grey);
draw(h.D1);
draw(h.D2);

/*<asyxml><view file="modules/geometry.asy" type="hyperbola" signature="hyperbola(point,real,real,real)"/></asyxml>*/
draw(hyperbola(h.C, h.a, h.b, h.angle), 2mm+green);

/*<asyxml><view file="modules/geometry.asy" type="hyperbola" signature="hyperbola(bqe)"/></asyxml>*/
draw(hyperbola(equation(h)), 1mm+red);

/*<asyxml><view file="modules/geometry.asy" type="hyperbola" signature="conj(hyperbola)"/></asyxml>*/
hyperbola ch=conj(h);
draw(ch, blue);
draw(ch.A1, 0.5blue);
draw(ch.A2, 0.5blue);
draw(ch.D1);
draw(ch.D2);
dot("${V'}_1$", ch.V1, NE);
dot("${V'}_2$", ch.V2, SW);
dot("${F'}_1$", ch.F1, S);
dot("${F'}_2$", ch.F2, N);

dot("$V_1$", h.V1, 2E, linewidth(2mm));
dot("$V_2$", h.V2, 2W, linewidth(2mm));

🔗geometry-fig076

Figure geometry 076 Generated with Asymptote

import geometry;
size(12cm);

// currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75));
// currentcoordsys=cartesiansystem((2,1),i=rotate(45)*(1,0),j=rotate(45)*(0,1));
// show(currentcoordsys);

conic co[];
co[0]=circle((point)(0,0),1);
/*<asyxml><view file="modules/geometry.asy" type="void" signature="draw(picture,Label,explicit conic,align,pen,arrowbar,arrowbar,margin,Label,marker)"/></asyxml>*/
draw(co[0]);

co[1]=ellipse((point)(0,0),4,1);
draw(co[1]);

co[2]=parabola((0,0),1,90);
draw(co[2]);

hyperbola h=hyperbola((-1,0),(1,0),1.2,byvertices);
co[3]=h;
draw(co[3]);
draw(h.A1,grey);
draw(h.A2,grey);

dotfactor *= 1;

for (int i=0; i < 4; ++i) {
  dot(intersectionpoints(h.A1,co[i]),blue);
  dot(intersectionpoints(h.A2,co[i]),blue);
  for (int j=i+1; j < 4; ++j)
    /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(conic,conic)"/></asyxml>*/
    dot(intersectionpoints(co[i],co[j]), red);
}