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| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
transform t=xscale(1.25);
pen p1=red, p2=yellow;
pair pa=t*dir(135), pb=t*dir(-45);
axialshade(t*unitcircle,p1,pa,p2,pb);
draw(pa--pb, dashed);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
transform t=xscale(1.25);
pen p1=red, p2=yellow;
pair pa=t*dir(135), pb=t*dir(-45);
axialshade(t*unitcircle,p1,pa,p2,pb);
draw(pa--pb, dashed);
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
dot("N",O,N);
dot("S",O,S);
dot("E",O,E);
dot("W",O,W);
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
labelmargin=2;
dot("N",O,N);
dot("S",O,S);
dot("E",O,E);
dot("W",O,W);
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair O=0;
dot("N",O,10N);
draw("S",O,10S);
draw("E",O,10E);
draw("W",O,10W);
draw("NE",O,5NE);
draw("SE",O,5SE);
draw("NW",O,5NW);
draw("SW",O,5SW);
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| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
draw(scale(2)*Label("N",.8red),O,10*N,linewidth(3mm));
draw(scale(2)*Label("S",.8red),O,10*S);
draw(scale(2)*Label("E",.8red),O,10*E);
draw(scale(2)*Label("W",.8red),O,10*W);
draw(rotate(45)*Label("NE"),O,5NE);
draw(rotate(-45)*Label("SE"),O,5SE);
draw(rotate(-45)*Label("NW"),O,5NW);
draw(rotate(45)*Label("SW"),O,5SW);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
path line1=(0,0)--(1,0);
path line2=(0,0)--(1,1);
pair bissec=dir(line1,line2);
draw(line1); draw(line2);
dot(bissec,linewidth(3bp));
draw(-.5bissec--bissec,dotted);
dot("$A$",(0,0),-bissec);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair A=0, B=(1,0), C=(2,2);;
draw(A--B--C--cycle);
dot("$A$",A,dir(C--A,B--A));
dot("$B$",B,dir(C--B,A--B));
dot("$C$",C,dir(A--C,B--C));
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
pair A=0, B=(1,0), C=(1,1);
draw("$1$",A--B);
draw("$1$",B--C);
// draw(rotate(dir(C--A))*"$\sqrt{2}$",C--A);
draw(Label("$\sqrt{2}$",Rotate(-dir(C--A))),C--A);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
path g=(1,1)--(3,2);
draw(Label("a text",Rotate(dir(g))), g);
draw(Label("a text",red,Rotate(-dir(g)),align=I*dir(g)), g);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
pair ctrl_rgt_A, ctrl_lft_B, ctrl_rgt_B, ctrl_lft_C;
ctrl_rgt_A=A+2cm*E;
ctrl_lft_B=B+3cm*W;
ctrl_rgt_B=B+3cm*E;
ctrl_lft_C=C+2cm*W;
draw(A..B..C);
draw(A.. controls ctrl_rgt_A and ctrl_lft_B ..B.. controls ctrl_rgt_B and ctrl_lft_C ..C,1mm+grey);
dot(A--B--C,linewidth(6bp));
draw((A--ctrl_rgt_A),Arrow, p=grey);
draw((B--ctrl_rgt_B),Arrow, p=grey);
draw((B--ctrl_lft_B),Arrow, p=grey);
draw((C--ctrl_lft_C),Arrow, p=grey);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
pair ctrl_rgt_A, ctrl_lft_B, ctrl_rgt_B, ctrl_lft_C;
ctrl_rgt_A=A+2cm*NE;
ctrl_lft_B=B+5cm*SW;
ctrl_rgt_B=B+2cm*SE;
ctrl_lft_C=C+5cm*NW;
draw(A..B..C);
draw(A.. controls ctrl_rgt_A and ctrl_lft_B ..B.. controls ctrl_rgt_B and ctrl_lft_C ..C,1mm+grey);
dot(A--B--C,linewidth(6bp));
draw((A--ctrl_rgt_A),Arrow, p=grey);
draw((B--ctrl_rgt_B),Arrow, p=grey);
draw((B--ctrl_lft_B),Arrow, p=grey);
draw((C--ctrl_lft_C),Arrow, p=grey);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm);
path p1 = (0,0){up}..(5,4)..(10,0){down};
pair post0=postcontrol(p1,0);
pair pre1=precontrol(p1,1);
pair post1=postcontrol(p1,1);
pair pre2=precontrol(p1,2);
dot(post0^^pre1^^post1^^pre2);
path p2 = (0,0)..controls post0 and pre1..(5,4)..controls post1 and pre2..(10,0);
draw(p1,2mm+red);
draw(p2,linewidth(1mm));
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm,0);
pair O=(0,0);
path p=(0,0){dir(0)}..{dir(45)}(2,2){dir(-45)}..{dir(0)}(4,0);
pair En1=dir(p, 1, -1);
pair En2=dir(p, 2, -1);
draw(p);
draw(Label("dir(p,1,-1)", EndPoint), point(p,1)--point(p,1)+En1, red, Arrow);
draw(Label("dir(p,2,-1)", EndPoint), point(p,2)--point(p,2)+En2, red, Arrow);
pair Ep0=dir(p, 0, 1);
pair Ep1=dir(p, 1, 1);
draw(Label("dir(p,0,1)", EndPoint), point(p,0)--point(p,0)+Ep0, blue, Arrow);
draw(Label("dir(p,1,1)", EndPoint, E), point(p,1)--point(p,1)+Ep1, blue, Arrow);
draw(p, dot);
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path cle=scale(2)*unitcircle;
radialshade(scale(2)*cle,white+.1yellow,(0,0),2,yellow,(0,0),4);
radialshade(cle,white,(1,.5),0,.95yellow,(0,0),2);
for(real i=0; i<=length(cle); i+=.2)
draw(point(cle,i)--(-2*I*dir(cle,i)+point(cle,i)),p=2mm+yellow+linecap(0));
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
path curv=reverse((0,2){dir(10)}..(1,0)..{dir(-50)}(3,2));
guide dirc;
draw(curv,linewidth(1mm)+grey);
for(real i=0; i<=length(curv); i+=.005)
{
draw(point(curv,i)--dir(curv,i)+point(curv,i),grey+yellow);
dirc=dirc..dir(curv,i)+point(curv,i);
}
draw(dirc,grey);
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
// Author: John Bowman
pair[] z=new pair[10];
z[0]=(0,100); z[1]=(50,0); z[2]=(180,0);
for(int n=3; n <= 9; ++n)
z[n]=z[n-3]+(200,0);
path p=z[0]..z[1]---z[2]---z[3]
&z[3]..z[4]--z[5]::{up}z[6]
&z[6]::z[7]---z[8]..{up}z[9];
defaultpen(linewidth(1));
draw(p, grey);
dot(p);
real len=50;
for(int i = 0; i < z.length; ++i) {
pair z=point(p,i);
draw(z--z+len*dir(p,i,-1),red);
draw(z--z+len*dir(p,i,1),blue+dashed);
draw(z-len*dir(p,i)--z+len*dir(p,i),green+Dotted(defaultpen()));
}
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
import math;
path cle=unitcircle;
path curv=reverse((1.5,2){dir(-60)}..(2.5,0)..{dir(60)}(3.5,2));
draw(cle);
draw(curv);
pair pt_cle=point(cle, 1.35);
pair pt_dir_cle=dir(cle, 1.35);
drawline((pt_cle - pt_dir_cle), (pt_cle + pt_dir_cle), red);
pair pt_curv=point(curv, dirtime(curv, pt_dir_cle));
drawline((pt_curv - pt_dir_cle), (pt_curv + pt_dir_cle), blue);
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| (Compiled with Asymptote version 2.14svn-r5318) |
//Translate from http://zoonek.free.fr/LaTeX/Metapost/metapost.html
size(0,0);
pair [] P, Q, R, S;
real u=1cm;
for (int i=0; i<=4; ++i)
P[i] = rotate(i*360/5)*(0,-u);
P[5] = P[0];
for (int i=0; i<=4; ++i)
Q[i] = 3*midpoint(P[i]--P[i+1]);
Q[5] = Q[0];
for (int i=0; i<=4; ++i)
R[i] = 1/3*( Q[i] + Q[i+1] + P[i+1] );
R[5] = R[0];
for (int i=0; i<=5; ++i)
S[i] = 1.5*Q[i];
for (int i=0; i<=4; ++i)
{
draw(P[i] -- P[i+1]);
draw(P[i+1] -- R[i]);
draw(Q[i] -- R[i]);
draw(R[i] -- Q[i+1]);
draw(Q[i] -- S[i]);
draw(S[i] -- S[i+1]);
label(format("\small$P_%i$",i),P[i],-unit(P[i]));
label(format("\small$Q_%i$",i),Q[i],rotate(60)*unit(Q[i]));
label(format("\small$R_%i$",i),R[i],unit(R[i]));
label(format("\small$S_%i$",i),S[i],unit(S[i]));
}
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path p = (0,0){up} .. (2cm,0){up};
path q = (0,1cm){dir(-60)}..(1cm,-1cm)..{dir(60)}(2cm,1cm);
draw(p, red);
draw(q, blue);
dot(intersectionpoint(p,q));
draw(point(p, intersect(p,q)[0])--postcontrol(p, intersect(p,q)[0]), .8red,Arrow);
draw(point(q, intersect(p,q)[1])--postcontrol(q, intersect(p,q)[1]), .8blue,Arrow);
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| (Compiled with Asymptote version 2.14svn-r5318) |
import graph;
size(6cm,0);
path a = polargraph(new real(real t){return t;}, 0, 3pi, operator ..);
path b = polargraph(new real(real t){return 2t;}, 0, 3.75pi, operator ..);
real sharp=40;
path c=relpoint(a,1){relpoint(a,1)-postcontrol(a,length(a)-1)}..{dir(sharp)}relpoint(b,1);
fill(a..c..reverse(b)&cycle,0.8*red);
shipout(bbox(2mm, Fill(0.15*blue)));
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| (Compiled with Asymptote version 2.14svn-r5318) |
import graph_pi;
unitsize(x=2cm,y=4cm);
real f(real x){return abs(sin(x));};
real g(real x){return cos(x);};
real x;
xlimits(-.25, 8);
ylimits(-1.25, 1.25);
xaxis(LeftTicks);
yaxis(Ticks);
path Cf=graph(f, 0, 8,500);
path Cg=graph(g, 0, 8,500);
draw(Cf,bp+red);
draw(Cg,bp+blue);
x=pi/4;
/*MODgraph_pi.asy.html#addtangentMOD*/
addtangent(Cf, x, .5yellow, drawleft=false);
addtangent(Cg, x, .5yellow, drawright=false);
dot((x,f(x))^^(x,g(x)));
x=3*pi/4;
path tg=tangent(Cf, x);
draw(tg);
addtangent(Cg, x);
pair M=intersectionpoint(tg,Cg);
dot("$M$",M,E);
addtangent(Cg, M.x, size=3cm,p=red);
draw((x,f(x))--(x,g(x)),scale(2)*MarkFill[0]);
x=pi;
addtangent(Cg, x, size=2cm,.8(green+blue));
dot((x,g(x)));
x=5*pi/4;
addtangent(Cf, x, size=2cm, v=(1,.25/sin(x)),
drawright=false, p=red, arrow=Arrow(5mm,NoFill));
addtangent(Cf, x, size=2cm, drawleft=false, red);
dot((x,f(x)));
x=2*pi;
addtangent(Cf, x, size=4cm,p=.8green,differentiable=false);
dot((x,f(x)));
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pair z0=(0,0); pair z1=(0.5,3); pair z2=(2,1); path g=z0..z1..z2; pair d0=dir(g,0); pair d1=dir(g,1); draw(Label("$\omega_0$",1),z0-d0..z0+d0,blue+dashed,Arrow); draw(Label("$\omega_1$",1),z1-d1..z1+1.5d1,blue+dashed,Arrow); draw(z0--interp(z0,z1,1.5),dashed); draw(subpath(g,0,1),blue); draw("$\theta$",arc(z0,0.4,degrees(z1-z0),degrees(d0)),red,Arrow, EndPenMargin); draw("$\phi$",arc(z1,1.05,degrees(z1-z0),degrees(d1)),red,Arrow, EndPenMargin); dot("$z_0$",z0,SW,red); dot("$z_1$",z1,SE,red);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pair z0=(0,0); pair z1=(1,2); pair z2=(2,1); path g=z0..z1..z2; label("$\ell_k$",z0--z1); draw("$\ell_{k+1}$",z1--z2,dashed); draw(z0--interp(z0,z1,1.5),dashed); pair d1=dir(g,1); draw(z1-d1..z1+d1,blue+dashed); draw(g,blue); draw(Label("$\theta_k$",0.4),arc(z1,0.4,degrees(z2-z1),degrees(d1)),blue,Arrow, EndPenMargin); draw("$\phi_k$",arc(z1,0.4,degrees(d1),degrees(z1-z0),CCW),Arrow, EndPenMargin); dot("$z_{k-1}$",z0,red); dot("$z_k$",z1,NW,red); dot("$z_{k+1}$",z2,red);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import beziercurve; pair midpoint(pair a, pair b) {return interp(a,b,0.5);} pair m0=midpoint(z0,c0); pair m1=midpoint(c0,c1); pair m2=midpoint(c1,z1); draw(m0--m1--m2,dashed); dot("$m_0$",m0,NW,red); dot("$m_1$",m1,N,red); dot("$m_2$",m2,red); pair m3=midpoint(m0,m1); pair m4=midpoint(m1,m2); pair m5=midpoint(m3,m4); draw(m3--m4,dashed); dot("$m_3$",m3,NW,red); dot("$m_4$",m4,NE,red); dot("$m_5$",m5,N,red);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(400); pair z0=(0,0); pair c0=(1,1); pair c1=(2,1); pair z1=(3,0); draw(z0..controls c0 and c1 .. z1,blue); draw(z0--c0--c1--z1,dashed); dot("$z_0$",z0,W,red); dot("$c_0$",c0,NW,red); dot("$c_1$",c1,NE,red); dot("$z_1$",z1,red);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import math; size(100,0); pair z4=(0,0); pair z7=(2,0); pair z1=point(rotate(60)*(z4--z7),1); pair z5=interp(z4,z7,0.5); pair z3=interp(z7,z1,0.5); pair z2=interp(z1,z4,0.5); pair z6=extension(z4,z3,z7,z2); draw(z4--z7--z1--cycle); draw(z4--z3); draw(z7--z2); draw(z1--z5); draw(circle(z6,abs(z3-z6))); label("1",z1,dir(z5--z1)); label("2",z2,dir(z7--z2)); label("3",z3,dir(z4--z3)); label("4",z4,dir(z3--z4)); label("5",z5,dir(z1--z5)); label("6",z6,2.5E+0.1*N); label("7",z7,dir(z2--z7));
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,150); if(settings.outformat == "") settings.outformat="pdf"; begingroup(); fill(shift(1.5dir(120))*unitcircle,green+opacity(0.75)); fill(shift(1.5dir(60))*unitcircle,red+opacity(0.75)); fill(unitcircle,blue+opacity(0.75)); endgroup();
