Examples using the package geometry.asy of the Asymptote software
🔗geometry-fig001
Show geometry/fig0010.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair
size(8cm,0); import geometry; /*<asyxml><view file="modules/geometry.asy" type="" signature="struct coordsys"/></asyxml>*/ show(currentcoordsys); pair a=(0,0.5), b=(1,0.5); /*<asyxml><view file="modules/geometry.asy" type="" signature="struct point"/></asyxml>*/ point A=a, B=b; dot("$A$",A); dot("$B$",B);
🔗geometry-fig002
Show geometry/fig0020.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair
size(8cm,0); import geometry; show(currentcoordsys); pair a=(0,0.5), b=(1,0.5); point A=a, B=b; dot("$A$",A); dot("$B$",B); /*<asyxml><view file="modules/geometry.asy" type="coordsys" signature="cartesiansystem(pair,pair,pair)"/></asyxml>*/ currentcoordsys=cartesiansystem((0.5,0.5), i=(0.7,0.7), j=(-0.7,0.7)); show("$O'$", "$\vec{u'}$", "$\vec{v'}$", currentcoordsys, xpen=invisible); point Ap=a; /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(coordsys,explicit point)"/></asyxml>*/ point Bp=point(currentcoordsys,B); // same as 'point Bp=b;' dot("$A'$",Ap); dot("$B'$",Bp); dot("$M$",(Ap+Bp)/2);
🔗geometry-fig003
Show geometry/fig0030.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair
size(8cm,0); import geometry; show(currentcoordsys); pair a=(0,0.5), b=(1,0.5); point A=a, B=b; dot("$A$",A); dot("$B$",B); /*<asyxml><view file="modules/geometry.asy" type="coordsys" signature="cartesiansystem(pair,pair,pair)"/></asyxml>*/ currentcoordsys=cartesiansystem((0.5,0.5), i=(0.7,0.7), j=(-0.7,0.7)); show("$O'$", "$\vec{u'}$", "$\vec{v'}$", currentcoordsys, xpen=invisible); point Ap=a; /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(coordsys,explicit point,real)"/></asyxml>*/ point Bp=point(currentcoordsys,B); // same as 'point Bp=b;' dot("$A'$",Ap); dot("$B'$",Bp); dot("$M$",(Ap+Bp)/2); draw(Ap--Bp); /*<asyxml><view file="modules/geometry.asy" type="point" signature="locate(pair)"/></asyxml>*/ draw(locate((0,0))--Bp,blue); /*<asyxml><view file="modules/geometry.asy" type="pair" signature="locate(point)"/></asyxml>*/ draw((0,0)--locate(Bp),0.8*green);
🔗geometry-fig004
Show geometry/fig0040.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair | #Point/Dot
size(8cm,0); import geometry; coordsys R=defaultcoordsys; show(R); coordsys Rp=cartesiansystem((0.5,0.5), i=(0.35,0.35), j=(-0.35,0.35)); show("$O'$", "$\vec{\imath'}$", "$\vec{\jmath'}$", Rp, ipen=blue, xpen=invisible); coordsys Rpp=cartesiansystem((-1,-0.5), i=rotate(-90)*(0.35,0.35), j=rotate(-90)*(-0.35,0.35)); show("$O''$", "$\vec{\imath''}$", "$\vec{\jmath''}$", Rpp, ipen=green, xpen=invisible); pair m=(1,1); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(coordsys,pair,real)"/></asyxml>*/ dot("",point(R,m),red); // Same as 'dot("",m,red);' dot("",point(Rp,m),blue); point M=m; /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(coordsys,explicit point,real)"/></asyxml>*/ dot("",point(Rpp,M),green); // Works also with 'point' pair p=(-0.75,0.75); point P=point(R,(-0.75,0.75)); dot("$P$",P,2E,4mm+red); // There are two methods for changing // the coordinate system of a point (or a pair) /*<asyxml><view file="modules/geometry.asy" type="pair" signature="/(pair,coordsys)"/></asyxml>*/ dot("$P'$",point(Rp,p/Rp),2S,3mm+blue); // Necessary for 'pair' dot("$P'$",point(Rp,P/Rp),2N,3mm+blue); // but works with 'point' by casting. /*<asyxml><view file="modules/geometry.asy" type="point" signature="changecoordsys(coordsys,point)"/></asyxml>*/ dot("$P''$",changecoordsys(Rpp,P),2W,1.5mm+green); // Useful for 'point'.
🔗geometry-fig005
Show geometry/fig0050.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((1.25,0.75),i=(1,1),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys R=defaultcoordsys; show("$O$", "$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$","$\vec{u}$","$\vec{u}$", Rp, xpen=invisible); vector w=(0.125,0.5); point P=(1,0.5); dot("$P$",P); draw(Label("$\overrightarrow{w}$",EndPoint), origin()--origin()+w, Arrow); draw("$\overrightarrow{O'P}+\overrightarrow{w}$", origin()--P+w, Arrow); dot("$M$",P+w,red); /*<asyxml><view file="modules/geometry.asy" type="pair" signature="locate(explicit vector)"/></asyxml>*/ draw("$\overrightarrow{w}$", (0,0)--locate(w), W,Arrow);
🔗geometry-fig006
Show geometry/fig0060.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Transform/scale/shift/rotate
import geometry; size(12cm,0); currentcoordsys=cartesiansystem((1.25,0.75),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys R=defaultcoordsys; show(Label("$O$",align=SE), "$\vec{\imath}$", Label("$\vec{\jmath}$",align=E), R); show("$O'$", "$\vec{u}$", "$\vec{v}$", Rp, xpen=invisible); vector w=(0.25,0.5); point P=(1,0.5); dot("$P$",P,W); show("$\overrightarrow{w}$", w); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="rotateO(real)"/></asyxml>*/ point Pp=rotateO(90)*P; dot("Pp=rotateO(90)*P", Pp, W); dot("rotate(90,Pp)*P", rotate(90,Pp)*P, W); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="scale(real,point)"/></asyxml>*/ dot("scale(-2,Pp)*P", scale(-2,Pp)*P, NE); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="scaleO(real)"/></asyxml>*/ dot("scaleO(2)*P", scaleO(2)*P,red); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="xscaleO(real)"/></asyxml>*/ dot("xscaleO(2)*P", xscaleO(2)*P); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="yscaleO(real)"/></asyxml>*/ dot("yscaleO(2)*P", yscaleO(2)*P,W); vector wp=rotateO(90)*w; show("$\overrightarrow{w'}$", wp); draw("$\overrightarrow{w}$", (0,0)--locate(w), W, Arrow); draw("$\overrightarrow{w'}$", (0,0)--locate(wp), S, Arrow);
🔗geometry-fig007
Show geometry/fig0070.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair | #Transform/scale/shift/rotate
import geometry; size(15cm); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-1,0.5)); coordsys R=currentcoordsys; show(R, xpen=invisible); point A=(2,2); dot("A",A,SE); point B=(3,1.5); dot("B",B,SE); point C=A+(4,2); dot("C",C); drawline(A,B,red); drawline(A,C,blue); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="scale(real,point,point,point,point,bool)"/></asyxml>*/ transform t=scale(2,A,B,A,C); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="projection(point,point,point,point,bool)"/></asyxml>*/ transform proj=projection(A,B,A,C); point M=(2,4); point Mh=proj*M; dot("$H_M$",Mh,SE); dot("$M$",M); point Mp=t*M; dot("\small$scale(2,A,B,A,C)*M=M'$",Mp,W); drawline(M,Mh); point P=(1,-1); point Ph=proj*P; dot("$H_P$",Ph,NW); drawline(P,Ph); dot("$P$",P); transform t=scale(-1,A,B,A,C); point Pp=t*P; dot("\small$P'=scale(-1,A,B,A,C)*P$",Pp); draw(P--Pp);
🔗geometry-fig008
Show geometry/fig0080.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair | #Vector
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((1.5,1.5),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys Rs=cartesiansystem((-1.5,1.5),i=(-1,0.5),j=(-1,-1)); coordsys R=defaultcoordsys; show("$O$","$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$","$\vec{u}$","$\vec{v}$", Rp, xpen=invisible); show("$O''$","$\vec{u'}$","$\vec{v'}$", Rs, xpen=invisible); pair w=(0.75,1.5); draw("$\overrightarrow{w}$",(0,0)--w,Arrow); pair P=(1,1); dot("$P$",P); dot("$P$",point(Rp,P/Rp),N); dot("$P$",point(Rs,P/Rs),S); show("$\overrightarrow{w'}$", vector(w)); show("$\overrightarrow{w''}$", vector(Rs,w)); dot("$P'$",point(Rp,P)); dot("$P''$",point(Rs,P));
🔗geometry-fig009
Show geometry/fig0090.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair | #Vector
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((1.5,1.5),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys Rs=cartesiansystem((-1.5,1.5),i=(-1,0.5),j=(-1,-1)); coordsys R=defaultcoordsys; show("$O$","$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$","$\vec{u}$","$\vec{v}$", Rp, xpen=invisible); show("$O''$","$\vec{u'}$","$\vec{v'}$", Rs, xpen=invisible); pair P=(1,1); dot("$P$",P); draw(format("$\vert OP\vert\simeq %.2f$",abs(P)),(0,0)--P,Arrows); point Pp=P; dot("$P'$",Pp); vector wp=Pp; show(format("$\vert O'P'\vert= %.2f$",abs(Pp)), wp, Arrows); point Ps=point(Rs,P); dot("$P''$",Ps,S); vector ws=Ps; show(format("$\vert O''P''\vert\simeq %.2f$",abs(Ps)), ws, Arrows);
🔗geometry-fig010
Show geometry/fig0100.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair | #Vector
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((1.5,1.5),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys R=defaultcoordsys; show("$O$","$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$", "$\vec{u}$", Label("$\vec{v}$",align=NE), Rp, xpen=invisible); pair w=(1.5,0.75); draw("$\overrightarrow{w}$",(0,0)--w,Arrow); pair P=(1,-1); dot("$P$",P); show("$\overrightarrow{w'}$", vector(w)); dot("$P'$",point(Rp,P),N); point Ip=I; dot("$I'$",Ip,N); dot("$I'*P'$",Ip*point(Rp,P),S); dot("$I*P'$",I*point(Rp,P),N); vector wp=Ip*vector(w); show(Label("$I'*\overrightarrow{w'}$",EndPoint), wp); vector foo=I*vector(w); show("$I*\overrightarrow{w'}$", foo);
🔗geometry-fig011
Show geometry/fig0110.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((1.5,1.5),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys Rs=cartesiansystem((-1.5,1.5),i=(-1,0.5),j=(-1,-1)); coordsys R=defaultcoordsys; show("$O$","$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$","$\vec{u}$","$\vec{v}$", Rp, xpen=invisible); show("$O''$","$\vec{u'}$","$\vec{v'}$", Rs, xpen=invisible); int n=64; real step=2pi/n; for (int i=0; i<n; ++i) { pen p=(i/n)*red; dot(point(R,R.polar(1,step*i)),p); dot(point(Rp,Rp.polar(1,step*i)),p); dot(point(Rs,Rs.polar(1,step*i)),p); }
🔗geometry-fig012
Show geometry/fig0120.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Vector | #Line
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys R=defaultcoordsys; show("$O$","$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$", "$\vec{u}$", "$\vec{v}$", Rp, xpen=invisible); pair a=(0.5,0.5); pair b=(-0.5,-1); point A=point(R,a), B=point(R,b); dot("$A$",A,NW); dot("$B$",B,S); line l=line(A,B); point Ap=a, Bp=b; dot("$A'$",Ap,W); dot("$B'$",Bp,SE); line lp=line(Ap,Bp); draw(l^^lp); draw(l.A--l.A+l.u,blue,Arrow); draw(l.A--l.A+l.v,blue,Arrow); draw(lp.A--lp.A+lp.u,blue,Arrow); draw(lp.A--lp.A+lp.v,blue,Arrow);
🔗geometry-fig013
Show geometry/fig0130.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Vector | #Line | #Intersection
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; coordsys Rs=cartesiansystem((-1,2),i=(-1,0.5),j=(-1,-1)); coordsys R=defaultcoordsys; show("$O$","$\vec{\imath}$", "$\vec{\jmath}$", R); show("$O'$","$\vec{u}$","$\vec{v}$", Rp, xpen=invisible); show("$O''$", "$\vec{u'}$", "$\vec{v'}$", Rs, xpen=invisible); pair a=(0.5,0.5); pair b=(-0.5,-1); point A=point(R,a), B=point(R,b); dot("$A$",A,S); dot("$B$",B,S); line l=line(A,B); point Ap=a, Bp=b; dot("$A'$",Ap); dot("$B'$",Bp,SE); line lp=line(Ap,Bp); point As=point(Rs,a), Bs=point(Rs,b); dot("$A''$",As,S); dot("$B''$",Bs,SE); line ls=line(As,Bs); draw(l^^lp^^ls); dot(intersectionpoint(l,lp),2mm+red); dot(intersectionpoint(l,ls),2mm+red); dot(intersectionpoint(lp,ls),2mm+red);
🔗geometry-fig014
Show geometry/fig0140.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Vector | #Line | #Intersection
include fig0130; point w=l.A+1.5*l.v; draw(Label("$w$",EndPoint),l.A--w,Arrow); point wp=lp.A+1.5*lp.v; draw(Label("$w'$",EndPoint),lp.A--wp,Arrow); point ws=ls.A+1.5*ls.v; draw(Label("$w''$",EndPoint),ls.A--ws,Arrow); int n=64; real step=2pi/n; for (int i=0; i<n; ++i) { point p=B+point(R,R.polar(1,step*i)); dot(p,sameside(p,w,l) ? black : blue); point p=Ap+point(Rp,Rp.polar(1,step*i)); dot(p,sameside(p,wp,lp) ? black : blue); point p=As+point(Rs,Rs.polar(1,step*i)); dot(p,sameside(p,ws,ls) ? black : blue); }
🔗geometry-fig015
Show geometry/fig0150.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Path
size(12cm,0); import geometry; import base_pi; dotfactor*=2; currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-1,1)); coordsys Rp=currentcoordsys; show("$O'$","$\vec{u}$","$\vec{v}$", Rp, xpen=invisible); path cle=randompath(20); draw(cle); point A=(0,1.5), B=(1,-0.5); line l=line(A,B); draw(l); /*<asyxml><view file="modules/geometry.asy" type="pair[]" signature="intersectionpoints(line,path)"/></asyxml>*/ dot(intersectionpoints(l,cle));
🔗geometry-fig016
Show geometry/fig0160.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Line | #Draw (2D)
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-fig017
Show geometry/fig0170.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Line | #Parallel | #Perpendicular | #Intersection | #Markers
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); /*<asyxml><view file="modules/geometry.asy" type="line" signature="parallel(point,line)"/></asyxml>*/ draw(parallel(M,l1),red); /*<asyxml><view file="modules/geometry.asy" type="line" signature="perpendicular(point,line)"/></asyxml>*/ line perp=perpendicular(M,l1); draw(perp); /*<asyxml><view file="modules/geometry.asy" type="point" signature="intersectionpoint(line,line)"/></asyxml>*/ point interp=intersectionpoint(l1,perp); dot(interp,green); /*<asyxml><view file="modules/geometry.asy" type="void" signature="markrightangle(picture,point,point,point,real,pen,margin,filltype)"/></asyxml>*/ markrightangle(l1.A,interp,rotate(180,interp)*M,size=5mm); draw(box((-5,-5),(5,5)),invisible);
🔗geometry-fig018
Show geometry/fig0180.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Line | #Parallel | #Perpendicular | #Transform/scale/shift/rotate
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); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="projection(line)"/></asyxml>*/ point P=projection(l1)*M; dot("$P$",P,2W); draw(M--P); markrightangle(l1.A,P,M); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="vprojection(line,bool)"/></asyxml>*/ point Q=vprojection(l1)*M; dot("$Q$",Q,2W); draw(M--Q); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="hprojection(line,bool)"/></asyxml>*/ point R=hprojection(l1)*M; dot("$R$",R,2W); draw(M--R); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="projection(line,line,bool)"/></asyxml>*/ 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);
🔗geometry-fig019
Show geometry/fig0190.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Point | #Line | #Parallel | #Transform/scale/shift/rotate
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); /*<asyxml><view file="modules/geometry.asy" type="line" signature="line(real,point)"/></asyxml>*/ line l2=line(100,C); draw(l2,blue); dot("$C$",C); point M=relpoint(A--C,0.6); dot("$M$",M); /*<asyxml><view file="modules/geometry.asy" type="transform" signature="projection(line,line,bool)"/></asyxml>*/ point P=projection(l1,l2)*M; dot("$P$",P,2W); draw(line(M,P),blue+dashed); draw(box((-5,-5),(5,5)),invisible);
🔗geometry-fig020
Show geometry/fig0200.asy on Github.
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Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Line | #Parallel
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); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="sameside(point,line,line)"/></asyxml>*/ 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);
🔗geometry-fig021
Show geometry/fig0210.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Line | #Markers
size(12cm); import geometry; currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,1)); show(currentcoordsys); point A=(1,1); line l1=line(45,A); draw("$(l_1)$",l1); dot("$A$",A); point B=(3,1); line l2=line(-60,B); draw("$(l_2)$",l2); dot("$B$",B); markangleradiusfactor*=5; /*<asyxml><view file="modules/geometry.asy" type="void" signature="markangle(picture,Label,int,real,real,line,line,arrowbar,pen,filltype,margin,marker)"/></asyxml>*/ markangle(2,l2,l1,0.8*green,StickIntervalMarker(i=1,n=2)); markangle(2,radius=-0.5*markangleradius(), l2,l1,0.8*blue); markangle(reverse(l2),reverse(l1),Arrow,StickIntervalMarker(i=1,n=2)); /*<asyxml><view file="modules/geometry.asy" type="real" signature="sharpdegrees(line,line)"/></asyxml>*/ markangle((string) sharpdegrees(l2,l1), radius=-1.5*markangleradius(), reverse(l2),l1,Arrow,red);
🔗geometry-fig022
Show geometry/fig0220.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Line | #Markers | #Intersection
unitsize(2cm); import geometry; currentcoordsys=cartesiansystem((2,1),i=(1,0.25),j=(-0.25,.75)); show(lo=Label("$O$",align=SE+0.5E), currentcoordsys); pair A=(1,1), B=(2,2); line l1=line(A,B); draw("$(l_1)$",l1); line l2=rotate(100,(3,3))*l1; draw("$(l_2)$",l2); write(locate(intersectionpoint(l1,l2))); /*<asyxml><view file="modules/geometry.asy" type="line" signature="bisector(line,line,real,bool)"/></asyxml>*/ line bis=bisector(l1,l2); draw(bis); line Bis=bisector(l1,l2,90); draw(Bis,0.8*red); markangleradiusfactor*=5; /*<asyxml><view file="modules/geometry.asy" type="void" signature="markangle(picture,Label,int,real,real,line,line,arrowbar,pen,filltype,margin,marker)"/></asyxml>*/ markangle(2, l1, l2, StickIntervalMarker(2,2,true)); markangle(2, reverse(l2), l1, radius=1.25*markangleradius(), StickIntervalMarker(2,1,true)); /*<asyxml><view file="modules/geometry.asy" type="bool" signature="concurrent(...line[])"/></asyxml>*/ if (concurrent(bis,l1,l2,Bis)) label("Concurrent",(3,3), dir(135)); draw(box(locate((-1,0)),locate((5,5))),invisible);
🔗geometry-fig023
Show geometry/fig0230.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Line | #Intersection
import geometry; size(12cm,0); currentcoordsys=cartesiansystem((2,1),i=expi(pi/18)*(1,0),j=expi(pi/18)*(0,1)); show(currentcoordsys,xpen=invisible); point A=(-1.5,-1); point C=(-1,1); point B=(-1,0); dot("$A$", A, 2W); dot("$B$", B, 2E); line l1=hline()+C; draw("$(l_1)$", l1, blue); dot("$C$", C, NE); line l2=line(A, B, false); draw(Label("$(AB]$",Relative(.25),SE), l2, green); /*<asyxml><view file="modules/geometry.asy" type="line" signature="complementary(explicit line)"/></asyxml>*/ draw("Complementary of $(AB]$", complementary(l2), dotted+roundcap); point p=intersectionpoint(l1,l2); /*<asyxml><view file="modules/geometry.asy" type="bool" signature="defined(pair)"/></asyxml>*/ string s="$(l_1)$" + (defined(p) ? " intersects " : " does not intersect ") + "$(AB]$"; label(s, A+1.75*l2.u,W); draw(box(locate((-2,-2)),locate((2,2))), invisible);
🔗geometry-fig024
Show geometry/fig0240.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Line | #Segment | #Draw (2D)
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-fig025
Show geometry/fig0250.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Segment | #Perpendicular
unitsize(2cm); import geometry; linemargin=5mm; // currentcoordsys=cartesiansystem((2,1),i=(1,0.25),j=(-0.25,.75)); // show(li=Label("$\vec{\imath}$",align=S,EndPoint), currentcoordsys); point A=(-1,-1), B=(1,0.5); line l1=line(A,B); draw("$(l_1)$",l1); draw("$s_1$",(segment) l1, 2pt+red, marker(stickframe,markuniform(2,true))); /*<asyxml><view file="modules/geometry.asy" type="line" signature="bisector(segment,real)"/></asyxml>*/ line bis=bisector((segment) l1); draw(bis,red); /*<asyxml><view file="modules/geometry.asy" type="void" signature="show(picture,line,pen)"/></asyxml>*/ show(bis,grey); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(line,real)"/></asyxml>*/ dot(point(bis,1.5)); draw(box(locate((-2,-2)),locate((2,2))),invisible);
🔗geometry-fig026
Show geometry/fig0260.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Path | #Point | #Pair
import geometry; size(5cm,0); point M=(1,1); point N=(0.25,0.28); point P=(0.75,0.66); path g=origin--M; line l=line(origin,M); pen p=linewidth(5mm); draw(l,p); dot(N,p+red); dot(N,blue); dot(P,p+red); dot(P,blue); draw(box(origin,(1,1)),invisible); /*<asyxml><view file="modules/geometry.asy" type="bool" signature="@(point,line)"/></asyxml>*/ write(N@l);// Return 'false' /*<asyxml><view file="modules/geometry.asy" type="bool" signature="onpath(picture,path,point,pen)"/></asyxml>*/ write(onpath(g,N,p));// Return 'true' write(onpath(g,P,p));// Return 'false'
🔗geometry-fig027
Show geometry/fig0270.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Circle | #Ellipse | #Path
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,1),j=(-0.5,.75)); show("","$\vec{u}$", "$\vec{v}$", currentcoordsys, ipen=blue); show(defaultcoordsys); point A=(0,0); real R=2; /*<asyxml><view file="modules/geometry.asy" type="" signature="struct circle"/></asyxml>*/ circle C=circle(A,R); draw(C,1.5mm+red); circle Cp=circle(point(defaultcoordsys,A),R); draw(Cp,0.75mm+blue); // One can draw in the 'currentcoordsys' a circle definided in // the 'defaultcoordsys' /*<asyxml><view file="modules/geometry.asy" type="path" signature="*(coordsys,path)"/></asyxml>*/ draw(currentcoordsys*Cp, red+blue);
🔗geometry-fig028
Show geometry/fig0280.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Point | #Clip | #Circle
import geometry; size(10cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75)); // show(currentcoordsys); point A=(-1,0), B=(2,0), C=(0,2); draw(line(A,B), linewidth(bp)); draw(line(A,C), linewidth(bp)); draw(line(B,C), linewidth(bp)); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="circle(point,point,point)"/></asyxml>*/ circle cc=circle(A,B,C); draw(cc, blue); dot(cc.C, blue); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="incircle(point,point,point)"/></asyxml>*/ circle ic=incircle(A,B,C); draw(ic, red); dot(ic.C, red); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="excircle(point,point,point)"/></asyxml>*/ circle ec=excircle(A,B,C); /*<asyxml><view file="modules/geometry.asy" type="void" signature="clipdraw(picture,Label,path,align,pen,arrowbar,arrowbar,real,real,Label,marker)"/></asyxml>*/ clipdraw(ec, green); dot(ec.C, green); ec=excircle(A,C,B); clipdraw(ec, green); dot(ec.C, green); ec=excircle(C,B,A); clipdraw(ec, green); dot(ec.C, green); dot("G",centroid(A,B,C),NE); // Enlarge the bounding box of the current picture // draw(box((-2.5,-3), (3.5,3.5)));
🔗geometry-fig029
Show geometry/fig0290.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Transform/scale/shift/rotate | #Ellipse | #Circle
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys); point A=(1,1); dot("$A$",A,S,red); real R=2; circle C=circle(A,R); draw(C,Arrow); /*<asyxml><view file="modules/geometry.asy" type="ellipse" signature="*(transform,circle)"/></asyxml>*/ ellipse el=xscale(2)*C; draw(el,blue,Arrow); // /*<asyxml><view file="modules/geometry.asy" type="transform" signature="xscale(real,point)"/></asyxml>*/ ellipse el=xscale(2,A)*C; draw(el,red,Arrow);
🔗geometry-fig030
Show geometry/fig0300.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Transform/scale/shift/rotate | #Ellipse | #Circle
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys); point A=(1,1); dot("$A$",A,S,red); real R=2; circle C=circle(A,R); draw(C,Arrow); /*<asyxml><view file="modules/geometry.asy" type="ellipse" signature="*(transform,circle)"/></asyxml>*/ draw(scale(0.5)*C,red,Arrow); draw(scale(0.5,A)*C,2mm+0.8*blue); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="/(explicit circle,real)"/></asyxml>*/ draw(C/2,0.75mm+green,Arrow(4mm)); // Note that the point 'point(C,0)' is always at the same place relatively to 'C'. draw(rotateO(180)*C/2,0.8*yellow,Arrow);
🔗geometry-fig031
Show geometry/fig0310.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Transform/scale/shift/rotate | #Ellipse | #Circle
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys); point A=(1,1); dot("$A$",A,S,red); real a=3, b=2; ellipse el=ellipse(A,a,b,0); draw(el,Arrow); /*<asyxml><view file="modules/geometry.asy" type="ellipse" signature="*(transform,ellipse)"/></asyxml>*/ draw(scale(0.5)*el,red,Arrow); draw(scale(0.5,A)*el,2mm+0.8*blue); /*<asyxml><view file="modules/geometry.asy" type="ellipse" signature="/(ellipse,real)"/></asyxml>*/ draw(el/2,0.75mm+green,Arrow(4mm)); // Note that the point 'point(el,0)' is always at the same place relatively to 'el'. draw(rotateO(135)*el/2,0.8*yellow,Arrow);
🔗geometry-fig032
Show geometry/fig0320.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Parabola
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys); point F=(0.25,0.5); dot("$F$",F,SW,red); // Enlarge the bounding box of the current picture draw(box(locate((-1.5,0)),locate((1,1))), invisible); line l=rotateO(10)*line((0,-0.4),(1,-0.4)); draw(l); /*<asyxml><view file="modules/geometry.asy" type="parabola" signature="parabola(point,line)"/></asyxml>*/ parabola p=parabola(F,l); draw(p,linewidth(3mm)); /*<asyxml><view file="modules/geometry.asy" type="parabola" signature="parabola(point,point)"/></asyxml>*/ draw(parabola(p.F,p.V),2mm+red); /*<asyxml><view file="modules/geometry.asy" type="parabola" signature="parabola(point,real,real)"/></asyxml>*/ draw(parabola(p.F,p.a,p.angle),1mm+green);
🔗geometry-fig033
Show geometry/fig0330.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Draw (2D) | #Clip | #Deferred drawing | #Parabola
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
Show geometry/fig0340.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Draw (2D) | #Clip | #Deferred drawing | #Hyperbola | #Line
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-fig035
Show geometry/fig0350.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Circle | #Line | #Intersection
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys, xpen=invisible); point A=(-1,0); point B=(0.5,-3sin(2)); dot("$A$",A,S,red); dot("$B$",B,N,red); line l=line(A,B); circle c=circle((point)(0,-sqrt(2)/2),exp(1)); draw(l); draw(c); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,circle)"/></asyxml>*/ point[] inter=intersectionpoints(l,c); dot("$M$", inter[0], 2S, red); dot("$N$", inter[1], 2N+0.5W, red);
🔗geometry-fig036
Show geometry/fig0360.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Ellipse | #Intersection
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys); point A=(-1,0); point B=(0.5,-3sin(2)); dot("$A$",A,S,red); dot("$B$",B,N,red); line l=line(A,B); ellipse el=ellipse((0,-sqrt(2)/2),3,2,90); draw(l); draw(el,Arrow); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,ellipse)"/></asyxml>*/ point[] inter=intersectionpoints(l,el); dot("$M$", inter[0], 4N+2W, red); dot("$N$", inter[1], 2S+0.5E, red);
🔗geometry-fig037
Show geometry/fig0370.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Parabola | #Intersection
import geometry; size(10cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); // show(currentcoordsys); point A=(-1,-1); point B=(2,1); dot("$A$",A,S,red); dot("$B$",B,N,red); line l=line(A,B); draw(l); point F=(2,-1.5); dot("$F$",F,N); parabola p=parabola(F,0.2,110); draw(p); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,parabola)"/></asyxml>*/ point[] inter=intersectionpoints(l,p); dot("$M$", inter[0], 2N+E, red); dot("$N$", inter[1], S+2E, red);
🔗geometry-fig038
Show geometry/fig0380.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Hyperbola
import geometry; size(10cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); // show(currentcoordsys); // Enlarge the bounding box of the current picture draw(box((-6,-5), (10,2)), invisible); point A=(-2,-2); point B=(2,-3); dot("$A$",A,N,red); dot("$B$",B,S,red); line l=line(A,B); draw(l); point C=(2,-1.5); dot("$C$",C,N); hyperbola h=hyperbola(C,sqrt(2),sqrt(2)/2,0); draw(h); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,hyperbola)"/></asyxml>*/ point[] inter=intersectionpoints(l,h); dot("$M$", inter[0], 2N+E, red); dot("$N$", inter[1], 2S+E, red);
🔗geometry-fig039
Show geometry/fig0390.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,1),j=(-0.5,.75)); show(currentcoordsys); point A=(-0.5,.75); point B=(1,1); dot("$A$",A,SE); dot("$B$",B,NW); line l=line(A,B,false); line ll=hline()+B; circle c=circle((point)(0.5,0.5),2); draw(l^^ll); draw(complementary(l),dashed+grey); draw(c); dotfactor*=2; /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,circle)"/></asyxml>*/ dot(intersectionpoints(l,c),red); dot(intersectionpoints(ll,c),red);
🔗geometry-fig040
Show geometry/fig0400.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Ellipse
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,1),j=(-0.5,.75)); show(currentcoordsys); point A=(-0.5,.75); point B=(1,1); dot("$A$",A,SE); dot("$B$",B,NW); line l=line(A,B,false); line ll=hline()+B; ellipse el=ellipse((point)(0.5,0.5),3,2); draw(l^^ll); draw(complementary(l),dashed+grey); draw(el); dotfactor*=2; /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,ellipse)"/></asyxml>*/ dot(intersectionpoints(l,el),red); dot(intersectionpoints(ll,el),red);
🔗geometry-fig041
Show geometry/fig0410.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Parabola
import geometry; size(10cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); // show(currentcoordsys); point A=(-1,-1); point B=(2,1); dot("$A$",A,S,red); dot("$B$",B,NW,red); line l=line(A,B,false); line ll=hline()+0.5*B; draw(l^^ll); draw(complementary(l),dashed+grey); point F=(2,-1.5); dot("$F$",F,N); parabola p=parabola(F,0.2,110); draw(p); dotfactor*=2; /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,parabola)"/></asyxml>*/ dot(intersectionpoints(l,p), red); dot(intersectionpoints(ll,p), red);
🔗geometry-fig042
Show geometry/fig0420.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,1),j=(-0.5,.75)); // show(currentcoordsys); point A=(-1,-1); point B=(0.75,0.5); dot("$A$",A,NW,red); dot("$B$",B,N,red); circle c1=circle(A,1.5); circle c2=circle(B,2); draw(c1^^c2); /*<asyxml><view file="modules/geometry.asy" type="line" signature="radicalline(circle,circle)"/></asyxml>*/ draw(radicalline(c1,c2)); /*<asyxml><view file="modules/geometry.asy" type="point" signature="radicalcenter(circle,circle)"/></asyxml>*/ dot(radicalcenter(c1,c2)); dotfactor*=2; /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(circle,circle)"/></asyxml>*/ point[] inter=intersectionpoints(c1,c2); dot("$M$", inter[0], 2SW, red); dot("$N$", inter[1], 2NE, red);
🔗geometry-fig043
Show geometry/fig0430.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Intersection | #Ellipse
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,1),j=(-0.5,.75)); // show(currentcoordsys); point C=(0,0); point Cp=(0.5,0.5); dot("$C$",C,NW,red); dot("$C'$",Cp,N,red); ellipse el1=ellipse(C,2,1); ellipse el2=ellipse(Cp,3,1,40); draw(el1^^el2); dotfactor*=2; /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(ellipse,ellipse)"/></asyxml>*/ point[] inter=intersectionpoints(el1,el2); dot(inter);
🔗geometry-fig044
Show geometry/fig0440.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle | #Tangent
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.25),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-1,-1); point B=(0.75,0.5); dot("$A$",A,NW,red); dot("$B$",B,N,red); circle c1=circle(A,1.5); circle c2=circle(B,2); draw(c1^^c2); point[] inter=intersectionpoints(c1,c2); dot("$M$", inter[0], 2NW, red); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(circle,point)"/></asyxml>*/ draw(tangent(c1,inter[0]), grey); draw(tangent(c2,inter[0]), grey); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(circle,abscissa)"/></asyxml>*/ draw(tangent(c2,angabscissa(135)), grey);
🔗geometry-fig045
Show geometry/fig0450.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle | #Point | #Perpendicular
import geometry; size(10cm,0); point c2=(13,5); real r=4, R=abs(c2)-r; circle[] C={circle(origin, 4), circle(c2,R)}; draw(C[0]^^C[1], blue); segment s=segment(origin, c2); draw(s, red, dot); /*<asyxml><view file="modules/geometry.asy" type="point" signature="curpoint(line,real)"/></asyxml>*/ point T=curpoint(s,r/(r-R)*abs(c2)); dot(T); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangents(circle,point)"/></asyxml>*/ line[] tgt=tangents(C[1], T); draw(tgt); point[][] t= new point[2][2]; for (int i=0; i < 2 ; ++i) for (int j=0; j < 2; ++j) { /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,circle)"/></asyxml>*/ t[i][j]=intersectionpoints(C[i],tgt[j])[0]; draw(C[i].C--t[i][j], dot); markrightangle(T, t[i][j], C[i].C, size=(i == 0 ? 2mm : 0)); } addMargins(cm/2,cm/2);
🔗geometry-fig046
Show geometry/fig0460.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Ellipse | #Abscissa | #Point | #Tangent
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-1,-1); point B=(0.75,0.5); dot("$A$",A,NW,red); dot("$B$",B,N,red); ellipse el1=ellipse(A,2,1.5); ellipse el2=ellipse(B,3,2); draw(el1); draw(el2,Arrow); point[] inter=intersectionpoints(el1,el2); dot("$M$", inter[0], 2NW, red); /*<asyxml><view file="modules/geometry.asy" type="line[]" signature="tangents(ellipse,point)"/></asyxml>*/ draw(tangents(el1,inter[0]), grey); draw(tangents(el2,inter[0]), grey); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(ellipse,abscissa)"/></asyxml>*/ draw(tangent(el2,angabscissa(90)), grey);
🔗geometry-fig047
Show geometry/fig0470.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Parabola | #Abscissa | #Point | #Tangent
import geometry; size(12cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point F1=(0,0); dot("$F1$",F1,NW); point F2=(-0.25,0.5); dot("$F2$",F2,SE); parabola p=parabola(F1, 0.1, 120); draw(p, bp+red); parabola pp=parabola(F2, 0.06, 280); draw(pp, bp+blue); abscissa x=angabscissa(180); dot(point(p,x)); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(parabola,abscissa)"/></asyxml>*/ draw(tangent(p,x), 0.8*red); point[] P=intersectionpoints(p,pp); dot(P); /*<asyxml><view file="modules/geometry.asy" type="line[]" signature="tangents(parabola,point)"/></asyxml>*/ draw(tangents(p,P[0]), 0.8*red); draw(tangents(pp,P[0]), 0.8*blue); // Enlarge the bounding box draw(box((-1,-0.4), (0.5,0.6)),invisible);
🔗geometry-fig048
Show geometry/fig0480.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Hyperbola | #Abscissa | #Point | #Tangent
import geometry; size(10cm); point C=(4,2); dot("$C$",C,E+NE,red); hyperbola h=hyperbola(C,1.5,1,-20); draw(h, linewidth(bp)); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(hyperbola,abscissa)"/></asyxml>*/ line l=tangent(h,angabscissa(85)); draw(l, grey); dot(intersectionpoints(h,l)); l=tangent(h,angabscissa(0,fromCenter)); draw(l, grey); dot(intersectionpoints(h,l)); // Enlarge the bounding box of the current picture. draw(box((-1,-0.5), (9,4)), invisible);
🔗geometry-fig049
Show geometry/fig0490.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Hyperbola | #Point | #Tangent
import geometry; size(12cm); point C=(0,0); dot(C); hyperbola[] h; h[0]=hyperbola(C,2,2); h[1]=hyperbola(C,1.5,1); draw(h[0], 2bp+0.8*red); draw(h[1], 2bp+0.8*blue); point[] P=intersectionpoints(h[0],h[1]); line[] l; for (int i=0; i < P.length; ++i) { for (int j=0; j < 2; ++j) { /*<asyxml><view file="modules/geometry.asy" type="line[]" signature="tangents(hyperbola,point)"/></asyxml>*/ l=tangents(h[j],P[i]); draw(l[0], j == 0 ? red : blue); } } dot(P, yellow); // Enlarge the bounding box of the current picture. draw(box((-4,-3), (4,3)), invisible);
🔗geometry-fig050
Show geometry/fig0500.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle | #Tangent | #Point
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(2.5,-1); point B=A+(3,1); dot("$A$",A,SW); dot("$B$",B,2N+0.5W); circle c1=circle(A,1.5); draw(c1); /*<asyxml><view file="modules/geometry.asy" type="line[]" signature="tangents(circle,point)"/></asyxml>*/ line[] tgt=tangents(c1,B); draw(tgt,red); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="circle(point,point)"/></asyxml>*/ draw(circle(B,A),grey); // dot(intersectionpoints(c1,circle(B,A)),red); for (int i=0; i<tgt.length; ++i) { dot(intersectionpoints(c1,tgt[i]),2mm+red); }
🔗geometry-fig051
Show geometry/fig0510.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle | #Tangent | #Ellipse | #Point
import geometry; size(12cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(2.5,-1); dot("$A$",A,SW); ellipse el1=ellipse(A,2,1,10); draw(el1); circle C=circle(A,3); draw(C); for (int i=0; i < 360; i+=90) { point B=point(C,angabscissa(i)); dot("$B$",B,locate(unit(B-A))); line[] tgt=tangents(el1,B); draw(tgt,0.8*red); for (int i=0; i < tgt.length; ++i) { dot(intersectionpoints(el1,tgt[i]),blue); } }
🔗geometry-fig052
Show geometry/fig0520.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Intersection | #Circle | #Tangent | #Ellipse | #Point
import geometry; size(12cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point F=(0,0); dot("$F$", F, SW); parabola p=parabola(F, 0.1, 30); draw(p); point C=shift(2*(p.V-p.F))*p.V; circle cle=circle(C, 0.2); draw(cle); for (int i=0; i < 360; i+=90) { point M=point(cle, angabscissa(i)); dot("$M$", M, locate(unit(M-C))); line[] tgt=tangents(p, M); draw(tgt, 0.8*red); for (int i=0; i < tgt.length; ++i) { dot(intersectionpoints(p, tgt[i]), blue); } }
🔗geometry-fig053
Show geometry/fig0530.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Circle | #Point
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-0.5,-0.5); point B=(1,0.5); point C=(0.5,1); dot("$A$",A,SW); dot("$B$",B,2N+0.5W); dot("$C$",C,2N+0.5W); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="circle(point,point,point)"/></asyxml>*/ circle c1=circle(A,B,C); dot("$\Omega$",c1.C,N); draw(c1);
🔗geometry-fig054
Show geometry/fig0540.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Ellipse | #Point
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,1),j=(-0.5,1)); show(currentcoordsys, xpen=invisible); point A=(3.5,1), B=(1.75,3), C=(-1,2), D=(-1.5,-0.5), F=(1.5,-1); dot("$A$",A); dot("$B$",B,N); dot("$C$",C,NW); dot("$D$",D,SW); dot("$F$",F,SE); /*<asyxml><view file="modules/geometry.asy" type="ellipse" signature="ellipse(point,point,point,point,point)"/></asyxml>*/ ellipse el=ellipse(A,B,C,D,F); draw(el); dot("$F_1$",el.F1,NW); dot("$F_2$",el.F2,NW); /*<asyxml><view file="modules/geometry.asy" type="coordsys" signature="canonicalcartesiansystem(ellipse)"/></asyxml>*/ coordsys R=canonicalcartesiansystem(el); show("$C$", "$\vec{u}$", "$\vec{v}$", R, xpen=blue);
🔗geometry-fig055
Show geometry/fig0550.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Parabola | #Point
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); show(currentcoordsys); // Enlarge the bounding box of the current picture draw(box(locate((-1,-1.5)),locate((2,1))),invisible); point A=(0,-1); point B=(1.25,1); point C=(-1,0.5); dot("$A$",A,SW,red); dot("$B$",B,E,red); dot("$C$",C,N,red); line l=rotateO(20)*line((0,0),(1,0)); /*<asyxml><view file="modules/geometry.asy" type="parabola" signature="parabola(point,point,point,line)"/></asyxml>*/ parabola p=parabola(A,B,C,l); draw(p,blue); draw(p.D,blue);
🔗geometry-fig056
Show geometry/fig0560.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Line | #Abscissa | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(0,0), B=(2,1); line l=line(A,B); draw(l); show(l, blue); /*<asyxml><view file="modules/geometry.asy" type="point" signature="relpoint(line,real)"/></asyxml>*/ point P=relpoint(l, 1); dot("relpoint(l, 1)", P, 2E,linewidth(2mm)); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="relabscissa(line,point)"/></asyxml>*/ dot(point(l,relabscissa(l,P)), red); /*<asyxml><view file="modules/geometry.asy" type="point" signature="curpoint(line,real)"/></asyxml>*/ point P=curpoint(l, 1); dot("curpoint(l, 1)", P, SE, blue+2mm); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(line,point)"/></asyxml>*/ dot(point(l,curabscissa(l,P)), yellow); point P=relpoint(l, 2); dot("relpoint(l, 2)", P, NW,linewidth(2mm)); dot(point(l,relabscissa(l,P)), red); point P=curpoint(l, 2); dot("curpoint(l, 2)", P, NW, blue+2mm); dot(point(l,curabscissa(l,P)), yellow);
🔗geometry-fig057
Show geometry/fig0570.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Distance | #Circle | #Abscissa | #Point
import geometry; size(10cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(2,-2); dot("$A$",A,S,red); circle C=circle(A,2); draw(C); /*<asyxml><view file="modules/geometry.asy" type="void" signature="distance(picture pic,Label,point,point,bool,real,pen,pen,arrow)"/></asyxml>*/ distance("$R=2$",A,point(C,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="relpoint(explicit circle,real)"/></asyxml>*/ dot("relpoint(C, 0)",relpoint(C,0),E); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(circle,abscissa)"/></asyxml>*/ dot("relpoint(C, 0.25)",point(C,Relative(0.25)),NW); // point(C,Relative(0.25)) can be replaced by relpoint(C,0.25) OR point(C,relabscissa(0.25)) dot("relpoint(C, 0.5)",relpoint(C,0.5),W); dot("relpoint(C, 0.75)",relpoint(C,0.75),SE); dot("relpoint(C, 1.125)",relpoint(C,1.125),NE);
🔗geometry-fig058
Show geometry/fig0580.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Ellipse | #Abscissa | #Point
import geometry; size(12cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(2,-1.5); dot("$A$",A,S,red); ellipse el=ellipse(A,3,1,20); draw(el); /*<asyxml><view file="modules/geometry.asy" type="point" signature="relpoint(explicit ellipse,real)"/></asyxml>*/ dot("relpoint(el, 0)",relpoint(el,0),E); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(ellipse,abscissa)"/></asyxml>*/ dot("relpoint(el, 0.25)",point(el,Relative(0.25)),NW); // point(el,Relative(0.25)) can be replaced by relpoint(el,0.25) OR point(el,relabscissa(0.25)) dot("relpoint(el, 0.5)",relpoint(el,0.5),W); dot("relpoint(el, 0.75)",relpoint(el,0.75),SE); dot("relpoint(el, 1.125)",relpoint(el,1.125),NW);
🔗geometry-fig059
Show geometry/fig0590.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Parabola | #Abscissa | #Point
import geometry; size(12cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point F=(2,-1.5); dot("$F$",F,N,red); // Enlarge the bounding box of the current picture. draw(box((-0.5,-0.4),(4,1.5)),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=(-0.5,-0.4); p.bmax=(3.7,0.75); draw(p,dashed); /* Defered drawing to adjust the path to the final bounding box.*/ draw((path)p); /* The path of 'p' is restricted to the box whose the corners are p.bmin, p.bmax.*/ /*<asyxml><view file="modules/geometry.asy" type="point" signature="relpoint(explicit parabola,real)"/></asyxml>*/ dot("relpoint(p, 0)",relpoint(p,0),SE); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(parabola,abscissa)"/></asyxml>*/ dot("relpoint(p, 0.25)",point(p,Relative(0.25)),NE); // point(p,Relative(0.25)) can be replaced by relpoint(p,0.25) OR point(p,relabscissa(0.25)) dot("relpoint(p, -0.5)",relpoint(p,-0.5),W); dot("relpoint(p, -1)",relpoint(p,-1),W); dot("relpoint(p, 1)",relpoint(p,1),E);
🔗geometry-fig060
Show geometry/fig0600.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Circle | #Abscissa | #Point
import geometry; size(11cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(2,-2); dot("$A$",A,S,red); circle C=circle(A,2); draw(C); distance("$R=2$",A,point(C,0),0); /*<asyxml><view file="modules/geometry.asy" type="pair" signature="curpoint(explicit circle,real)"/></asyxml>*/ dot("curpoint(C, pi/2)", curpoint(C,pi/2),NE); dot("curpoint(C, -pi/2)", curpoint(C,-pi/2)); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(real)"/></asyxml>*/ dot("curpoint(C, pi)", point(C,curabscissa(pi)),NW); // point(C,curabscissa(pi)) can be replaced by curpoint(C,pi) dot("curpoint(C, 2*pi)", curpoint(C,2*pi),W); dot("curpoint(C, 3*pi)", curpoint(C,3*pi),SE); dot("curpoint(C, 4.25*pi)", curpoint(C,4.25*pi),E);
🔗geometry-fig061
Show geometry/fig0610.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Ellipse | #Abscissa | #Point
import geometry; size(12cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(4,2); ellipse el=ellipse(A,3,2,30); draw(el); dot("$C$",el.C,S,red); /*<asyxml><view file="modules/geometry.asy" type="pair" signature="curpoint(explicit ellipse,real)"/></asyxml>*/ dot("curpoint(el, 0)", curpoint(el,0), E); real L=arclength(el); dot("curpoint(el, L/8)", curpoint(el,L/8),NW); dot("curpoint(el, -L/8)", curpoint(el,-L/8)); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(real)"/></asyxml>*/ dot("point(el,curabscissa(L/4))", point(el,curabscissa(L/4)),NW); // point(el,curabscissa(pi)) can be replaced by curpoint(el,pi) dot("curpoint(el, L/2)", curpoint(el,L/2),W); dot("curpoint(el, 3*L/4)", curpoint(el,3*L/4),SE); dot("curpoint(el, 9*L/8)", curpoint(el,9*L/8),4N+4W);
🔗geometry-fig062
Show geometry/fig0620.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Parabola | #Abscissa | #Point
import geometry; size(10cm); point F=(1,-1.5); dot("$F$",F,N,red); parabola p=parabola(F,0.2,110); draw(p); /*<asyxml><view file="modules/geometry.asy" type="point" signature="curpoint(explicit parabola,real)"/></asyxml>*/ dot("curpoint(p, 0)",curpoint(p,0),SE); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(parabola,abscissa)"/></asyxml>*/ dot("curpoint(p, 0.5)",point(p,curabscissa(0.5)),NE); // point(p,curabscissa(0.5)) can be replaced by curpoint(p,0.5) dot("curpoint(p, -0.5)",curpoint(p,-0.5),W); dot("curpoint(p, -2)",curpoint(p,-2),W); dot("curpoint(p, 2)",curpoint(p,2),E);
🔗geometry-fig063
Show geometry/fig0630.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Circle | #Abscissa | #Point
import geometry; size(11cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(2,-2); dot("$A$",A,S,red); circle C=circle(A,2); draw(C); distance("$R=2$",A,point(C,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(explicit circle,real)"/></asyxml>*/ dot("angpoint(C, 90)", angpoint(C,90),NW); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(real,polarconicroutine)"/></asyxml>*/ dot("angpoint(C, 180)", point(C,angabscissa(180)), W); // point(C,angabscissa(180)) can be replaced by angpoint(C,180) dot("angpoint(C, 270)", angpoint(C,270),SE); dot("angpoint(C, 405)", angpoint(C,405),NE); dot("angpoint(C, -45)", angpoint(C,-45),SE);
🔗geometry-fig064
Show geometry/fig0640.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Ellipse | #Abscissa | #Point
import geometry; size(12cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(4,2); ellipse el=ellipse(A,3,2,20); draw(el); dot("$C$",el.C,2W,red); dot("$F_1$",el.F1,S); dot("$F_2$",el.F2,S); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(explicit ellipse,real,polarconicroutine)"/></asyxml>*/ point P=angpoint(el, 0); dot("angpoint(el, 0)", P,E); draw(el.F1--P); point P=angpoint(el, 90); dot("angpoint(el, 90)", P,NW); draw(el.F1--P); point P=angpoint(el, 90, fromCenter); dot("angpoint(el,90,fromCenter)", P,NW); draw(el.C--P); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(real,polarconicroutine)"/></asyxml>*/ dot("angpoint(el, 180)", point(el,angabscissa(180)), W); // point(el,angabscissa(180)) can be replaced by angpoint(el,180) dot("angpoint(el, 270)", angpoint(el,270),SE); dot("angpoint(el, 370)", angpoint(el,370),NE); dot("angpoint(el, -45)", angpoint(el,-45),SE); point P=angpoint(el, -45, fromCenter); dot("angpoint(el,-45,fromCenter)", P,S); draw(el.C--P);
🔗geometry-fig065
Show geometry/fig0650.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Ellipse | #Abscissa | #Point
import geometry; size(15cm,0); currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(4,2); ellipse el=ellipse(A,3,2,20); draw(el); dot("$C$",el.C,S,red); dot("$F_1$",el.F1,S); dot("$F_2$",el.F2,S); /////////////////////////////////////// currentpolarconicroutine=fromCenter;// ///////////////////////////////////// /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(explicit ellipse,real,polarconicroutine)"/></asyxml>*/ point P=angpoint(el, 0); dot("angpoint(el, 0)", P,E); draw(el.C--P); point P=angpoint(el, 90); dot("angpoint(el, 90)", P,NW); draw(el.C--P); point P=angpoint(el, 90, fromFocus); dot("angpoint(el,90,fromFocus)", P,NW); draw(el.F1--P); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(real,polarconicroutine)"/></asyxml>*/ dot("angpoint(el, 180)", point(el,angabscissa(180)), W); dot("angpoint(el, 370)", angpoint(el,370),NE); dot("angpoint(el, -45)", angpoint(el,-45),SE); point P=angpoint(el, -45, fromFocus); dot("angpoint(el,-45,fromFocus)", P,S); draw(el.F1--P);
🔗geometry-fig066
Show geometry/fig0660.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Parabola | #Point
import geometry; size(10cm); point F=(1,0.5); dot("$F$",F,E,red); parabola p=parabola(F,0.2,110); draw(p); coordsys R=currentcoordsys; show(R); coordsys Rp=canonicalcartesiansystem(p); show(Label("$O'$",align=NW+W,blue), Label("$\vec{u}$",blue), Label("$\vec{v}$",blue), Rp, ipen=blue); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(explicit parabola,real)"/></asyxml>*/ dot("angpoint(p, 180)",angpoint(p,180),SE+E); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(parabola,abscissa)"/></asyxml>*/ point P=point(p,angabscissa(55)); // point(p,angbscissa(0.5)) can be replaced by angpoint(p,0.5) dot("angpoint(p, 55)",P,NE); segment s=segment(F,P); draw(s); line l=line(F,F+Rp.i); markangle("$"+(string)degrees(l,s)+"^\circ$",l,(line)s,Arrow); dot("angpoint(p, -45)",angpoint(p,-45),W); dot("angpoint(p, -55)",angpoint(p,-55),W);
🔗geometry-fig067
Show geometry/fig0670.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Parabola | #Point | #Arc
import geometry; size(10cm); point C=(4,2); dot("$C$",C,E+NE,red); hyperbola h=hyperbola(C,1.5,1,-20); draw(h, linewidth(bp)); coordsys R=currentcoordsys; show(R); coordsys Rp=canonicalcartesiansystem(h); show(Label("$O'$",align=SW,blue), Label("$\vec{u}$",blue), Label("$\vec{v}$",blue), Rp, ipen=blue); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(explicit hyperbola,real,polarconicroutine)"/></asyxml>*/ dot(rotate(70)*"angpoint(h, 180)",angpoint(h,180),E); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(hyperbola,abscissa)"/></asyxml>*/ point P=point(h,angabscissa(55)); // point(h,angbscissa(0.5)) can be replaced by angpoint(h,0.5) dot("angpoint(h, 55)",P,SE); /*<asyxml><view file="modules/geometry.asy" type="path" signature="arcfromfocus(conic,real,real,int,bool)"/></asyxml>*/ draw(arcfromfocus(h,55,180), bp+red); segment s=segment(h.F1,P); draw(s); dot("$F_1$",h.F1,N+NW); line l=line(h.F1,h.F1-Rp.i); markangle("$55^\circ$",l,(line)s,Arrow); dot("angpoint(p, -50)",angpoint(h,-50),W); dot("angpoint(p, -55)",angpoint(h,-55),NE);
🔗geometry-fig068
Show geometry/fig0680.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Hyperbola | #Point | #Arc
import geometry; size(12cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); coordsys R=currentcoordsys; show(R); point C=(4,2); dot("$C$", C, NW, red); hyperbola h=hyperbola(C, 2, 1.5, -10); draw(h); /////////////////////////////////////// currentpolarconicroutine=fromCenter;// ///////////////////////////////////// coordsys Rp=canonicalcartesiansystem(h); show(Label("$O'$", align=SW,blue), Label("$\vec{u}$",blue), Label("$\vec{v}$",blue), Rp, ipen=blue); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(explicit hyperbola,real,polarconicroutine)"/></asyxml>*/ dot("angpoint(h, 0)", angpoint(h,0), E+NE); dot(rotate(80)*"angpoint(h, 180)", angpoint(h,180),E); draw(arcfromcenter(h,0,30), bp+red); // point(p,angbscissa(150)) can be replaced by angpoint(p,150) dot("angpoint(h, 150)", point(h, angabscissa(150)), E); point P=point(h, angabscissa(210)); dot("angpoint(h, 210)", P, E); point P=angpoint(h, 30); dot("angpoint(h, 30)", P, E); segment s=segment(C, P); draw(s); markangle("$30^\circ$", Ox(Rp),(line) s, radius=1.5cm, Arrow);
🔗geometry-fig069
Show geometry/fig0690.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Circle | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(4,2); dot("$A$",A,S,red); real R=2; circle C=circle(A,R); draw(C,linewidth(1mm)); draw("$R="+(string)R+"$", A--point(C,0), N, Arrows); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(explicit circle,explicit real)"/></asyxml>*/ dot("point(C, 15)", point(C,15),2E,3mm+blue); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(real)"/></asyxml>*/ dot("point(C, 40)", point(C,nodabscissa(40)), 2W,3mm+blue); // point(C,nodabscissa(40)) can be replaced by point(C,40) /*<asyxml><view file="modules/geometry.asy" type="int" signature="circlenodesnumber(real)"/></asyxml>*/ dot("point(C, 3*circlenodesnumber(R)/4)", point(C, 3*circlenodesnumber(R)/4), S, 3mm+blue); dot((path)C, yellow); write(length((path)C));
🔗geometry-fig070
Show geometry/fig0700.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Ellipse | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(4,2); real a=2, b=3; ellipse el=ellipse(A,a,b); dot("$C$",el.C,N,red); draw(el,linewidth(1mm)); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(explicit ellipse,explicit real)"/></asyxml>*/ dot("point(el, 0)", point(el,0),N,3mm+blue); dot("point(el, 15)", point(el,15),2W,3mm+blue); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(real)"/></asyxml>*/ dot("point(el, 40)", point(el,nodabscissa(40)), 2W,3mm+blue); // point(el,nodabscissa(40)) can be replaced by point(el,40) /*<asyxml><view file="modules/geometry.asy" type="int" signature="circlenodesnumber(real)"/></asyxml>*/ dot("point(el, 3*circlenodesnumber(max(a,b))/4)", point(el, 3*circlenodesnumber(max(a,b))/4), S, 3mm+blue); dot((path)el, yellow);
🔗geometry-fig071
Show geometry/fig0710.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Parabola | #Point
import geometry; size(12cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point F=(2,-1.5); dot("$F$",F,N,red); // Enlarge the bounding box of the current picture. draw(box((-0.5,-0.4),(4,1.5)),invisible); parabola p=parabola(F,0.2,90); draw(p,bp+dashed); /* Defered drawing to adjust the path to the final bounding box.*/ // Define the bounding box to draw the parabola. // Try finalbounds(); to determine the final bounding box. p.bmin=(-0.5,-0.4); p.bmax=(3.7,0.75); draw((path)p, linewidth(bp)); /* The path of 'p' is restricted to the box whose the corners are p.bmin, p.bmax.*/ /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(explicit parabola,explicit real)"/></asyxml>*/ dot("point(p, 0)", point(p,0),2E,3mm+blue); dot("point(p, 15)", point(p,15),2W,3mm+blue); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(real)"/></asyxml>*/ dot("point(p, 40)", point(p,nodabscissa(40)), 2W,3mm+blue); // point(p,nodabscissa(40)) can be replaced by point(p,40) /*<asyxml><view file="modules/geometry.asy" type="real[]" signature="bangles(picture,parabola)"/></asyxml>*/ real[] bg=bangles(p); /*<asyxml><view file="modules/geometry.asy" type="int" signature="parabolanodesnumber(parabola,real,real)"/></asyxml>*/ dot("point(p, parabolanodesnumber(p,bg[0],bg[1])/2)", point(p, parabolanodesnumber(p,bg[0],bg[1])/2), S, 3mm+blue); dot((path)p, yellow);
🔗geometry-fig072
Show geometry/fig0720.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Hyperbola | #Point
import geometry; size(12cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point C=(3,2); dot("$C$", C, N, red); // Enlarge the bounding box of the current picture. draw(box((0,0),(5,4.5)), invisible); hyperbola h=hyperbola(C, 1, 2); draw(h, bp+dashed); /* Defered drawing to adjust the path to the final bounding box.*/ // Define the bounding box to draw the hyperbola. // Try finalbounds(); to determine the final bounding box. h.bmin=(0,0.5); h.bmax=(5,4); draw((path)h, linewidth(bp)); /* The path of 'p' is restricted to the box whose the corners are p.bmin, p.bmax.*/ /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(explicit hyperbola,explicit real)"/></asyxml>*/ dot("point(h, 0)", point(h,0), 2W, 3mm+blue); dot("point(h, 15)", point(h,15), 2W, 3mm+blue); /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(real)"/></asyxml>*/ dot("point(h, 40)", point(h,nodabscissa(40)), 2W,3mm+blue); // point(h,nodabscissa(40)) can be replaced by point(h,40) /*<asyxml><view file="modules/geometry.asy" type="real[]" signature="bangles(picture,hyperbola)"/></asyxml>*/ real[][] bg=bangles(h); dot((path)h, yellow);
🔗geometry-fig073
Show geometry/fig0730.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Circle | #Point
import geometry; unitsize(2cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-2,2); dot("$A$",A,S); point B=A+(cos(0.5),cos(1)); dot("$B$",B,S); circle c=circle(A,2); draw(c); line l=line(A,B); draw(l); point M=intersectionpoints(l,c)[0]; point P=intersectionpoints(l,c)[1]; /*<asyxml><view file="modules/geometry.asy" type="void" signature="dot(picture,Label,explicit point,align,string,pen)"/></asyxml>*/ dot("",M,2E,linewidth(2mm)); dot("$M$",M,2W); dot("",P,2E,linewidth(2mm)); dot("$P$",P,2W); pair p=A-(4,2.5); transform t=shift((0,-0.3)); transform T=shift((4,0)); real x; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(circle,point)"/></asyxml>*/ x=angabscissa(c,M).x; label("angabscissa(c,M).x=$"+(string)x+"^\circ$",p,E); dot(angpoint(c,x),1mm+red); x=angabscissa(c,P).x; label("angabscissa(c,P).x=$"+(string)x+"^\circ$",T*p,E); dot(angpoint(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(circle,point)"/></asyxml>*/ x=curabscissa(c,M).x; dot(curpoint(c,x),1mm+red); label("curabscissa(c,M).x="+(string)x,p,E); x=curabscissa(c,P).x; label("curabscissa(c,P).x="+(string)x,T*p,E); dot(curpoint(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(circle,point)"/></asyxml>*/ x=nodabscissa(c,M).x; label("nodabscissa(c,M).x="+(string)x,p,E); dot(point(c,x),1mm+red); x=nodabscissa(c,P).x; label("nodabscissa(c,P).x="+(string)x,T*p,E); dot(point(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="relabscissa(circle,point)"/></asyxml>*/ x=relabscissa(c,M).x; label("relabscissa(c,M).x="+(string)x,p,E); dot(relpoint(c,x),1mm+red); x=relabscissa(c,P).x; label("relabscissa(c,P).x="+(string)x,T*p,E); dot(relpoint(c,x),1mm+red);
🔗geometry-fig074
Show geometry/fig0740.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Ellipse | #Point
import geometry; unitsize(2cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-2,2); dot("$A$",A,S); point B=A+(cos(0.5),cos(1)); dot("$B$",B,S); ellipse el=ellipse(A,3,2,0); draw(el); line l=line(A,B); draw(l); point M=intersectionpoints(l,el)[0]; point P=intersectionpoints(l,el)[1]; /*<asyxml><view file="modules/geometry.asy" type="void" signature="dot(picture,Label,explicit point,align,string,pen)"/></asyxml>*/ dot("",M,2E,linewidth(2mm)); dot("$M$",M,2W); dot("",P,2E); dot("$P$",P,2W,linewidth(2mm)); pair p=A-(4,2.5); transform t=shift((0,-0.3)); transform T=shift((4,0)); real x; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(ellipse,point,polarconicroutine)"/></asyxml>*/ x=angabscissa(el,M).x; label("angabscissa(el,M).x=$"+(string)x+"^\circ$",p,E); dot(angpoint(el,x),1mm+red); x=angabscissa(el,P).x; label("angabscissa(el,P).x=$"+(string)x+"^\circ$",T*p,E); dot(angpoint(el,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(ellipse,point)"/></asyxml>*/ x=curabscissa(el,M).x; dot(curpoint(el,x),1mm+red); label("curabscissa(el,M).x="+(string)x,p,E); x=curabscissa(el,P).x; label("curabscissa(el,P).x="+(string)x,T*p,E); dot(curpoint(el,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(ellipse,point)"/></asyxml>*/ x=nodabscissa(el,M).x; label("nodabscissa(el,M).x="+(string)x,p,E); dot(point(el,x),1mm+red); x=nodabscissa(el,P).x; label("nodabscissa(el,P).x="+(string)x,T*p,E); dot(point(el,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="relabscissa(ellipse,point)"/></asyxml>*/ x=relabscissa(el,M).x; label("relabscissa(el,M).x="+(string)x,p,E); dot(relpoint(el,x),1mm+red); x=relabscissa(el,P).x; label("relabscissa(el,P).x="+(string)x,T*p,E); dot(relpoint(el,x),1mm+red);
🔗geometry-fig075
Show geometry/fig0750.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Parabola | #Point/Dot | #Point
import geometry; unitsize(2cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-2.5,2); dot("$A$",A,S); point B=A+(cos(0.5),cos(1)); dot("$B$",B,S); point F=(-1,0.5); dot("$F$",F,NW); parabola pb=parabola(F,0.2,130); draw(pb); line l=line(A,B); draw(l); point M=intersectionpoints(l,pb)[0]; point P=intersectionpoints(l,pb)[1]; /*<asyxml><view file="modules/geometry.asy" type="void" signature="dot(picture,Label,explicit point,align,string,pen)"/></asyxml>*/ dot("",M,2E,linewidth(2mm)); dot("$M$",M,2W); dot("",P,2E,linewidth(2mm)); dot("$P$",P,2W); pair p=A-(4,2.5); transform t=shift((0,-0.3)); transform T=shift((4,0)); real x; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(parabola,point)"/></asyxml>*/ x=angabscissa(pb,M).x; label("angabscissa(pb,M).x=$"+(string)x+"^\circ$",p,E); dot(angpoint(pb,x),1mm+red); x=angabscissa(pb,P).x; label("angabscissa(pb,P).x=$"+(string)x+"^\circ$",T*p,E); dot(angpoint(pb,x),1mm+red); // p=t*p; // /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(parabola,point)"/></asyxml>*/ // x=curabscissa(pb,M).x; // dot(curpoint(pb,x),1mm+red); // label("curabscissa(pb,M).x="+(string)x,p,E); // x=curabscissa(pb,P).x; // label("curabscissa(pb,P).x="+(string)x,T*p,E); // dot(curpoint(pb,x),1mm+red); // p=t*p; // /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(parabola,point)"/></asyxml>*/ // x=nodabscissa(pb,M).x; // label("nodabscissa(pb,M).x="+(string)x,p,E); // dot(point(pb,x),1mm+red); // x=nodabscissa(pb,P).x; // label("nodabscissa(pb,P).x="+(string)x,T*p,E); // dot(point(pb,x),1mm+red);
🔗geometry-fig076
Show geometry/fig0760.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Ellipse | #Draw (2D) | #Circle | #Parabola | #Hyperbola | #Conic | #Intersection
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); }
🔗geometry-fig077
Show geometry/fig0770.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Ellipse
import geometry; size(8cm); currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(-1,0) ; dot("$A$",A,S); point B=(1,1) ; dot("$B$",B,S); point C=(0,1) ; dot("$C$",C,SW); point D=(1,-1) ; dot("$D$",D,SW); circle c=circle(origin(),2); line l1=line(A,B); draw(l1); line l2=line(C,D); draw(l2); point[] J=intersectionpoints(l1,c); point[] K=intersectionpoints(l2,c); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(ellipse,point,point,bool)"/></asyxml>*/ draw(arc(c,J[0],K[0]),1mm+0.8yellow); draw(arc(c,K[0],J[1]),1mm+0.8red); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(ellipse,abscissa,abscissa,bool)"/></asyxml>*/ draw(arc(c,angabscissa(c,J[1]),angabscissa(c,K[1])),1mm+0.8blue); draw(arc(c,angabscissa(c,K[1]),angabscissa(c,J[0])),1mm+0.8green); dot("$J_0$",J[0],2W); dot("$J_1$",J[1],2N); dot("$K_0$",K[0],2E) ; dot("$K_1$",K[1],2N+W);
🔗geometry-fig078
Show geometry/fig0780.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Ellipse
import geometry; size(8cm); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(-1,0) ; dot("$A$",A,S); point B=(1,1) ; dot("$B$",B,S); point C=(0,1) ; dot("$C$",C,SW); point D=(1,-1) ; dot("$D$",D,SW); ellipse el=ellipse((point)(0,0.5),2,1); line l1=line(A,B); draw(l1); line l2=line(C,D); draw(l2); point[] J=intersectionpoints(l1,el); point[] K=intersectionpoints(l2,el); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(ellipse,point,point,bool)"/></asyxml>*/ draw(arc(el, J[0],K[0]), 1mm+0.8yellow); draw(arc(el, K[0],J[1]), 1mm+0.8red); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(ellipse,abscissa,abscissa,bool)"/></asyxml>*/ draw(arc(el,angabscissa(el,J[1]), angabscissa(el,K[1])), 1mm+0.8blue); draw(arc(el,angabscissa(el,K[1]), angabscissa(el,J[0])), 1mm+0.8green); dot("$J_0$", J[0], 2N); dot("$J_1$", J[1], 2S); dot("$K_0$", K[0], 2NE) ; dot("$K_1$", K[1], 2dir(-35));
🔗geometry-fig079
Show geometry/fig0790.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle
import geometry; size(6cm); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(-1,0); point B=(3,-1); point C=(0,1); circle cle=circle(A,C,B); draw(cle,linewidth(2mm)); draw(arc(cle,A,B), dotsize()+red); draw(arc(cle,A,B,CW), dotsize()+blue); dot(Label("$A$", black), A, 1.5NW, white); dot(Label("$B$", black), B, E, white); dot(Label("$C$", black), C, NW, white);
🔗geometry-fig080
Show geometry/fig0800.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Ellipse | #Transform/scale/shift/rotate
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,1); dot("$A$",A,S,0.8red); real R=2; /*<asyxml><view file="modules/geometry.asy" type="" signature="struct arc"/></asyxml>*/ arc C=arc(circle(A,R),45,180);/*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(ellipse,real,real,polarconicroutine,bool)"/></asyxml>*/ draw(C,Arrow); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="complementary(arc)"/></asyxml>*/ draw(complementary(C),dashed+grey,Arrow(position=Relative(0.75))); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="*(transform,explicit arc)"/></asyxml>*/ arc Cp=scale(0.5,A)*C; draw(Cp,0.8red,Arrow); arc Cp=scale(-0.5,A)*C; draw(Cp,0.8blue,Arrow); arc Cp=scale(1.1,A)*C; /*<asyxml><view file="modules/geometry.asy" type="arc" signature="reverse(arc)"/></asyxml>*/ draw(reverse(Cp),0.8*yellow,Arrow); arc Cp=scale(0.9,A)*C; draw(rotate(225,A)*Cp,0.8green,Arrow);
🔗geometry-fig081
Show geometry/fig0810.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Ellipse | #Transform/scale/shift/rotate
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,1); dot("$A$",A,S,0.8red); real R=2; /*<asyxml><view file="modules/geometry.asy" type="" signature="struct arc"/></asyxml>*/ arc C=arc(ellipse(A,2R,R),45,180,fromCenter); draw(C,Arrow); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="complementary(arc)"/></asyxml>*/ draw(complementary(C),dashed+grey,Arrow(position=Relative(0.75))); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="*(transform,explicit arc)"/></asyxml>*/ arc Cp=scale(0.5,A)*C; draw(Cp,0.8red,Arrow); arc Cp=scale(-0.5,A)*C; draw(Cp,0.8blue,Arrow); arc Cp=scale(1.1,A)*C; /*<asyxml><view file="modules/geometry.asy" type="arc" signature="reverse(arc)"/></asyxml>*/ draw(reverse(Cp),0.8*yellow,Arrow); arc Cp=scale(0.9,A)*C; draw(rotate(225,A)*Cp,0.8green,Arrow);
🔗geometry-fig082
Show geometry/fig0820.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Transform/scale/shift/rotate | #Markers
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,1); dot("$A$",A,S,red); real R=2; arc C=arc(circle(A,R), 45, 210); draw(C,linewidth(4mm)); /*<asyxml><view file="modules/geometry.asy" type="void" signature="markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker)"/></asyxml>*/ markarc(format("%0g",degrees(C)), C, Arrow); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="*(real, explicit arc)"/></asyxml>*/ draw(0.5*C,2mm+yellow); arc Cp=C/3; draw(Cp,1mm+blue); markarc(format("%0g",degrees(Cp)), radius=25mm, Cp, blue, Arrow);
🔗geometry-fig083
Show geometry/fig0830.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Transform/scale/shift/rotate | #Markers
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,1); dot("$A$", A, NW, red); real R=2; arc C=arc(circle(A,R), 45, 210, CW); draw(C,linewidth(4mm)); /*<asyxml><view file="modules/geometry.asy" type="void" signature="markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker)"/></asyxml>*/ markarc(format("%0g",degrees(C)), C, radius=markangleradius(), Arrow); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="*(real, explicit arc)"/></asyxml>*/ draw(0.5*C, 2mm+yellow); arc Cp=C/3; draw(Cp, 1mm+blue); markarc(format("%0g",degrees(Cp)), radius=-25mm, Cp, blue, Arrow);
🔗geometry-fig084
Show geometry/fig0840.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Transform/scale/shift/rotate | #Markers
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point C=(1,1); dot("$C$", C, NE, red); real R=2; arc a=arc(ellipse(C,R,R/2), 90, 0, fromCenter); draw(a, linewidth(4mm)); /*<asyxml><view file="modules/geometry.asy" type="void" signature="markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker)"/></asyxml>*/ markarc(format("%0g", degrees(a)), radius=-0.5*markangleradius(), a); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="*(real, explicit arc)"/></asyxml>*/ draw(0.5*a, 2mm+yellow); arc ap=a/3; draw(ap, 1mm+blue); markarc(format("%0g", degrees(ap)), radius=1.5*markangleradius(), ap, blue);
🔗geometry-fig085
Show geometry/fig0850.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Transform/scale/shift/rotate | #Markers
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point C=(1,1); dot("$C$", C, dir(30), red); arc a=arc(ellipse(C,2,1,30), -45, 45); draw(a, linewidth(4mm)); dot("$F_1$", a.el.F1, dir(210), red); /*<asyxml><view file="modules/geometry.asy" type="void" signature="markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker)"/></asyxml>*/ markarc(format("%0g", degrees(a)), radius=2.5*markangleradius(), a); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="*(real, explicit arc)"/></asyxml>*/ draw(0.5*a, 2mm+yellow); arc ap=a/3; draw(ap, 1mm+blue); markarc(format("%0g", degrees(ap)), radius=1.5*markangleradius(), ap, blue);
🔗geometry-fig086
Show geometry/fig0860.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Abscissa | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((1,2), i=(1,0.5), j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,1); dot("$A$", A, S, red); arc C=arc(circle(A,2), 45, 270); draw(C, Arrow); /*<asyxml><view file="modules/geometry.asy" type="real" signature="degrees(arc)"/></asyxml>*/ write(degrees(C)); // Output is 225 draw(complementary(C), grey+dashed); distance("$R=2$",A,point(C,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="relpoint(arc,real)"/></asyxml>*/ dot("relpoint(C, 0)", relpoint(C,0),E); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(arc,abscissa)"/></asyxml>*/ dot("relpoint(C, 0.25)", point(C,Relative(0.25)),N);// point(C,Relative(0.25)) is similar to relpoint(C,0.25) dot("relpoint(C, -0.5)", relpoint(C,-0.5),E); dot("relpoint(C, 0.5)", relpoint(C,0.5),W); dot("relpoint(C, 0.75)", relpoint(C,0.75),W); dot("relpoint(C, 1.25)", relpoint(C,1.25),E);
🔗geometry-fig087
Show geometry/fig0870.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Abscissa | #Point
import geometry; size(12cm,0); // currentcoordsys=cartesiansystem((1,2), i=(1,0.5), j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,1); dot("$A$", A, S, red); arc C=arc(ellipse(A,2,1,45), 45, 270, fromCenter); // arc C=arc(ellipse(A,2,1), 45, -45); draw(C, Arrow); draw(complementary(C), grey+dashed); distance("$R=2$",A,point(C.el,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="relpoint(arc,real)"/></asyxml>*/ dot("relpoint(C, 0)", relpoint(C,0),W); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(arc,abscissa)"/></asyxml>*/ dot("relpoint(C, 0.25)", point(C,Relative(0.25)),W);// point(C,Relative(0.25)) is similar to relpoint(C,0.25) dot("relpoint(C, -0.5)", relpoint(C,-0.5),E); dot("relpoint(C, 0.5)", relpoint(C,0.5),W); dot("relpoint(C, 0.75)", relpoint(C,0.75),SE); dot("relpoint(C, 1.25)", relpoint(C,1.25),E);
🔗geometry-fig088
Show geometry/fig0880.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Abscissa | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(3.5,0.5); dot("$A$",A,S,red); arc C=arc(circle(A,2),45,270,CCW); draw(C,Arrow); draw(complementary(C),grey+dashed); /*<asyxml><view file="modules/geometry.asy" type="void" signature="distance(picture pic,Label,point,point,bool,real,pen,pen,arrow)"/></asyxml>*/ distance("$R=2$",A,point(C.el,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="curpoint(arc,real)"/></asyxml>*/ dot("curpoint(C, 0)", curpoint(C,0),E); dot("curpoint(C, pi/2)", curpoint(C,pi/2),N); dot("curpoint(C, -pi/2)", curpoint(C,-pi/2)); // dot("curpoint(C, pi)", point(C,curabscissa(pi)),W); // OR curpoint(C,pi) dot("curpoint(C, pi)", curpoint(C,pi),W); dot("curpoint(C, 2*pi)", curpoint(C,2*pi),SW); dot("curpoint(C, 3*pi)", curpoint(C,3*pi),E);
🔗geometry-fig089
Show geometry/fig0890.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Abscissa | #Point
import geometry; size(12cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(3.5,0.5); dot("$A$",A,SW,red); arc C=arc(ellipse(A,2,1,-30),90,270,fromCenter,CCW); real l=arclength(C); draw(C,Arrow); draw(complementary(C),grey+dashed); distance("$R=2$",A,point(C.el,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="curpoint(arc,real)"/></asyxml>*/ dot("curpoint(C, 0)", curpoint(C,0),E); dot("curpoint(C, l/4)", curpoint(C,l/4),0.5N+E); dot("curpoint(C, -l/4)", curpoint(C,-l/4)); dot("curpoint(C, l/2)", point(C,curabscissa(l/2)),W); // point(C,curabscissa(l/2)) is similar to curpoint(C,pi) dot("curpoint(C, l)", curpoint(C,l), SW); dot("curpoint(C, 3*l/2)", curpoint(C,3*l/2),E);
🔗geometry-fig090
Show geometry/fig0900.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Abscissa | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(3.5,0.5); dot("$A$", A, S, red); arc C=arc(circle(A,2), 60, 270, CCW); draw(C,Arrow); draw(complementary(C), grey+dashed); distance("$R=2$",A,point(C.el,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(arc,real)"/></asyxml>*/ dot("angpoint(C, 90)", angpoint(C,90), W); dot("angpoint(C, 180)", point(C,angabscissa(180)), SW); // point(C,angabscissa(180)) is similar to angpoint(C,180) dot("angpoint(C, 270)", angpoint(C,270), E); dot("angpoint(C, -45)", angpoint(C,-45), E);
🔗geometry-fig091
Show geometry/fig0910.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Point | #Abscissa
import geometry; size(12cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(3.5,0.5); dot("$A$", A, S, red); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="reverse(arc)"/></asyxml>*/ arc C=reverse(arc(ellipse(A,2,1,20), 45, 270, fromCenter)); draw(C,Arrow); draw(complementary(C), grey+dashed); distance("$R=2$",A,point(C.el,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="angpoint(arc,real)"/></asyxml>*/ dot("angpoint(C, 90)", angpoint(C,90), SW); dot("angpoint(C, 180)", point(C,angabscissa(180)), NW); // point(C,angabscissa(180)) is similar to angpoint(C,180) dot("angpoint(C, 270)", angpoint(C,270), E); dot("angpoint(C, -45)", angpoint(C,-45), E);
🔗geometry-fig092
Show geometry/fig0920.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Abscissa | #Point
import geometry; unitsize(1.5cm); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); real R=2; point A=(3.5,1.5); dot("$A$",A,S,red); arc C=arc(circle(A,2), 45, 270); draw(C,Arrow); draw(complementary(C),grey+dashed); distance("$R=2$",A,point(C,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(arc,real)"/></asyxml>*/ dot("point(C, 15)", point(C,15), 2N, 3mm+blue); dot("point(C, 30)", point(C,nodabscissa(30)), // OR point(C,40) 2W,3mm+blue); /*<asyxml><view file="modules/geometry.asy" type="int" signature="arcnodesnumber(explicit arc)"/></asyxml>*/ dot(Label("point(C, 3*arcnodesnumber(R)/4)",UnFill), point(C, 3*arcnodesnumber(C)/4), 2E, 3mm+blue); dot((path)C, yellow);
🔗geometry-fig093
Show geometry/fig0930.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Abscissa | #Point
import geometry; unitsize(1.5cm); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); real R=2; point A=(3.5,1.5); dot("$A$",A,S,red); arc C=arc(ellipse(A,2,1,45), 45, 270, fromCenter); draw(C,Arrow); draw(complementary(C),grey+dashed); distance("$R=2$",A,point(C.el,0),0); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(arc,real)"/></asyxml>*/ dot("point(C, 15)", point(C,15), W, 3mm+blue); dot("point(C, 30)", point(C,nodabscissa(30)), // OR point(C,40) S,3mm+blue); /*<asyxml><view file="modules/geometry.asy" type="int" signature="arcnodesnumber(explicit arc)"/></asyxml>*/ dot(Label("point(C, 3*arcnodesnumber(R)/4)",UnFill), point(C, 3*arcnodesnumber(C)/4), 2E, 3mm+blue); dot((path)C, yellow);
🔗geometry-fig094
Show geometry/fig0940.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Abscissa | #Point
import geometry; unitsize(2cm); linemargin=0.5cm; // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(3.5,0.75); dot("$A$",A,S); point B=A+(cos(0.5),cos(1)); dot("$B$",B,S); arc c=arc(circle(A,2), 45, 270, CCW); arc cc=complementary(c); draw(c,Arrow); draw(cc,dashed+grey); line l=line(A,B); draw(l); point M=intersectionpoints(l,c)[0]; point P=intersectionpoints(l,cc)[0]; dot("", M, 2E); dot("$M$", M, 2W, linewidth(2mm)); dot("", P, 2E); dot("$P$", P, 2W, linewidth(2mm)); dot("$O$", point(c,0), SE); point p=A-(4,2.5); transform t=shift((0,-0.3)); transform T=shift((4,0)); real x; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(arc,point)"/></asyxml>*/ x=angabscissa(c,M).x; label("angabscissa(c,M).x=$"+(string)x+"^\circ$",p,E); dot(angpoint(c,x),1mm+red); x=angabscissa(c,P).x; label("angabscissa(c,P).x=$"+(string)x+"^\circ$",T*p,E); dot(angpoint(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(arc,point)"/></asyxml>*/ x=curabscissa(c,M).x; dot(curpoint(c,x),1mm+red); label("curabscissa(c,M).x="+(string)x,p,E); x=curabscissa(c,P).x; label("curabscissa(c,P).x="+(string)x,T*p,E); dot(curpoint(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(arc,point)"/></asyxml>*/ x=nodabscissa(c,M).x; label("nodabscissa(c,M).x="+(string)x,p,E); dot(point(c,x),1mm+red); label("nodabscissa(c,P).x= \scriptsize{ERROR (point is not on the arc!)}",T*p,E); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="relabscissa(arc,point)"/></asyxml>*/ x=relabscissa(c,M).x; label("relabscissa(c,M).x="+(string)x,p,E); dot(relpoint(c,x),1mm+red); x=relabscissa(c,P).x; label("relabscissa(c,P).x="+(string)x,T*p,E); dot(relpoint(c,x),1mm+red);
🔗geometry-fig095
Show geometry/fig0950.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Abscissa | #Point
import geometry; unitsize(2cm); linemargin=0.5cm; // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(3.5,0.75); dot("$A$",A,S); point B=A+(cos(0.5),cos(1)); dot("$B$",B,S); arc c=rotate(45,B)*xscale(2,A)*arc(circle(A,2), 45, 270, CCW); arc cc=complementary(c); draw(c,Arrow); draw(cc,dashed+grey); line l=line(A,B); draw(l); point M=intersectionpoints(l,c)[0]; point P=intersectionpoints(l,cc)[0]; dot("", M, 2E); dot("$M$", M, 2W, linewidth(2mm)); dot("", P, 2E); dot("$P$", P, 2W, linewidth(2mm)); dot("$O$", point(c,0), SE); point p=A-(4,2.5); transform t=shift((0,-0.3)); transform T=shift((4,0)); real x; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(arc,point)"/></asyxml>*/ x=angabscissa(c,M).x; label("angabscissa(c,M).x=$"+(string)x+"^\circ$",p,E); dot(angpoint(c,x),1mm+red); x=angabscissa(c,P).x; label("angabscissa(c,P).x=$"+(string)x+"^\circ$",T*p,E); dot(angpoint(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(arc,point)"/></asyxml>*/ x=curabscissa(c,M).x; dot(curpoint(c,x),1mm+red); label("curabscissa(c,M).x="+(string)x,p,E); x=curabscissa(c,P).x; label("curabscissa(c,P).x="+(string)x,T*p,E); dot(curpoint(c,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(arc,point)"/></asyxml>*/ x=nodabscissa(c,M).x; label("nodabscissa(c,M).x="+(string)x,p,E); dot(point(c,x),1mm+red); label("nodabscissa(c,P).x= \scriptsize{ERROR (point is not on the arc!)}",T*p,E); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="relabscissa(arc,point)"/></asyxml>*/ x=relabscissa(c,M).x; label("relabscissa(c,M).x="+(string)x,p,E); dot(relpoint(c,x),1mm+red); x=relabscissa(c,P).x; label("relabscissa(c,P).x="+(string)x,T*p,E); dot(relpoint(c,x),1mm+red);
🔗geometry-fig096
Show geometry/fig0960.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Line | #Abscissa | #Intersection | #Point
import geometry; size(8cm); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-1,0) ; dot("$A$",A,S); point B=(1,1) ; dot("$B$",B,S); point C=(0,0) ; point D=(1,-1) ; dot("$D$",D,SW); arc c=arc(circle(C,2), 0, 270); draw(complementary(c),dashed+grey); line l1=line(A,B); draw(l1); line l2=line(C,D); draw(l2); point[] J=intersectionpoints(l1,c); point[] K=intersectionpoints(l2,c); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(explicit arc,point,point)"/></asyxml>*/ draw(arc(c,K[0],J[0]),2mm+0.8yellow); draw(arc(c,J[1],K[0]),2mm+0.8red); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(explicit arc,abscissa,abscissa)"/></asyxml>*/ draw(arc(c,relabscissa(c,J[0]),relabscissa(1)),2mm+0.8green); draw(arc(c,relabscissa(0),relabscissa(c,J[1])),2mm+0.8blue); dot("$J_0$",J[0],2NW); dot("$J_1$",J[1],2N); dot("$K_0$",K[0],2W); draw(c, 1mm+white);
🔗geometry-fig097
Show geometry/fig0970.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Line | #Abscissa | #Intersection | #Point
import geometry; size(8cm); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-1,0) ; dot("$A$",A,S); point B=(1,1) ; dot("$B$",B,S); point C=(0,0) ; point D=(1,-1) ; dot("$D$",D,SW); arc c=arc(ellipse(C,2,1,20), 0, 270); draw(complementary(c),dashed+grey); line l1=line(A,B); draw(l1); line l2=line(C,D); draw(l2); point[] J=intersectionpoints(l1,c); point[] K=intersectionpoints(l2,c); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(explicit arc,point,point)"/></asyxml>*/ draw(arc(c,J[0],K[0]),2mm+0.8yellow); draw(arc(c,K[0],J[1]),2mm+0.8red); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(explicit arc,abscissa,abscissa)"/></asyxml>*/ draw(arc(c,relabscissa(c,J[1]),relabscissa(1)),2mm+0.8green); draw(arc(c,relabscissa(0),relabscissa(c,J[0])),2mm+0.8blue); dot("$J_0$",J[0],2N); dot("$J_1$",J[1],N+2W); dot("$K_0$",K[0],2N); draw(c, 1mm+white);
🔗geometry-fig098
Show geometry/fig0980.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Arrows/Bars | #Circle | #Abscissa
import geometry; size(6cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(-1,1); dot("$A$",A,S); arc a=arc(circle(A,2), 45, 270); draw(a,linewidth(3mm),ArcArrow(5mm)); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(explicit arc,abscissa,abscissa)"/></asyxml>*/ draw(arc(a,angabscissa(135),angabscissa(225)),1mm+red,ArcArrow(3mm),TrueMargin(0,0.5mm));
🔗geometry-fig099
Show geometry/fig0990.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Arrows/Bars | #Ellipse | #Abscissa
import geometry; size(6cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(-1,1); dot("$A$",A,S); arc a=arc(ellipse(A,2,1,45), 45, 270, fromCenter); draw(a,linewidth(3mm),ArcArrow(5mm)); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arc(explicit arc,abscissa,abscissa)"/></asyxml>*/ draw(arc(a,angabscissa(135),angabscissa(225)),1mm+red,ArcArrow(3mm),TrueMargin(0,0.5mm));
🔗geometry-fig100
Show geometry/fig1000.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Arrows/Bars | #Circle | #Abscissa | #Coords system
import geometry; size(6cm,0); currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-1,1); point B=(2,2); point M=(1,3); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arccircle(point,point,point)"/></asyxml>*/ arc AMB=arccircle(A,M,B); draw(AMB,linewidth(3mm),Arrow(5mm),TrueMargin(0,0.5mm)); dot("$C$",AMB.el.C); draw(arccircle(A,B,M),1mm+red,Arrow(3mm)); dot("$A$",A,2SW,blue); dot("$B$",B,2E,blue); dot("$M$",M,2N,blue);
🔗geometry-fig101
Show geometry/fig1010.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Intersection | #Line | #Coords system
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); real R=2; point A=(1,1); dot("$A$", A, S, red); point B=A+(2,1); dot("$B$", B, N, blue); arc a=arc(circle(A,R), -40, 180); arc b=arc(circle(B,R), -45, 220); line l=line(A,B); draw(a,red); draw(b,blue); draw(l); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(arc,arc)"/></asyxml>*/ point[] inter=intersectionpoints(a,b); dot(inter); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,arc)"/></asyxml>*/ point[] inter=intersectionpoints(l,a); dot(inter); point[] inter=intersectionpoints(l,b); dot(inter);
🔗geometry-fig102
Show geometry/fig1020.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Intersection | #Line | #Coords system
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); real R=2; point A=(1,1); dot("$A$", A, S, red); point B=A+(2,1); dot("$B$", B, N, blue); arc a=arc(ellipse(A,R,R/2), -40, 180); arc b=arc(ellipse(B,R,R/2), -45, 220); line l=line(A,B); draw(a,red); draw(b,blue); draw(l); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(arc,arc)"/></asyxml>*/ point[] inter=intersectionpoints(a,b); dot(inter); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(line,arc)"/></asyxml>*/ point[] inter=intersectionpoints(l,a); dot(inter); point[] inter=intersectionpoints(l,b); dot(inter);
🔗geometry-fig103
Show geometry/fig1030.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Circle | #Intersection | #Line | #Coords system | #Tangent
import geometry; size(8cm,0); currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); real R=2; point A=(1,1.5); dot("$A$",A,S,red); point B=A+(2,1); dot("$B$",B,S,blue); arc a=arc(circle(A,R),-40,180); arc b=arc(circle(B,R),-45,220); draw(a,red); draw(b,blue); point M=intersectionpoints(a,b)[0]; dot(M); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(explicit arc,point)"/></asyxml>*/ draw(tangent(a,M), grey); draw(tangent(b,M), grey); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(explicit arc,abscissa)"/></asyxml>*/ draw(tangent(a,angabscissa(45)), grey);
🔗geometry-fig104
Show geometry/fig1040.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Ellipse | #Intersection | #Line | #Coords system | #Tangent
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); real R=2; point A=(1,1.5); dot("$A$",A,S,red); point B=A+(2.5,1); dot("$B$",B,E,blue); arc a=arc(ellipse(A,R,R/2,30),-40,180); // ellispenodesnumberfactor=400; arc b=arc(ellipse(B,2R,R/2,-10),-30,180); draw(a,red); draw(b,blue); point M=intersectionpoints(a,b)[0]; dot(M); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(explicit arc,point)"/></asyxml>*/ draw(tangent(a,M), grey); draw(tangent(b,M), grey); /*<asyxml><view file="modules/geometry.asy" type="line" signature="tangent(explicit arc,abscissa)"/></asyxml>*/ draw(tangent(a,angabscissa(45)), grey);
🔗geometry-fig105
Show geometry/fig1050.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Segment | #Intersection | #Line | #Markers | #Point
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); // show(currentcoordsys, xpen=invisible); point A=(0.25,0.25); point B=A+(1,0.25); dot("$A$",A,S,red); dot("$B$",B,N,red); segment s=segment(A,B); line bis=bisector(s); draw(s,StickIntervalMarker(2,2)); draw(bis); /*<asyxml><view file="modules/geometry.asy" type="path" signature="compassmark(pair,pair,real,real)"/></asyxml>*/ draw(compassmark(A, point(bis,0.75), position=0.25,angle=25), grey); draw(compassmark(B, point(bis,0.75), position=0.75,angle=25), grey); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(line,real)"/></asyxml>*/ draw(compassmark(A, point(bis,0.25), position=0.5,angle=15), grey); draw(compassmark(B, point(bis,0.25), position=0.5,angle=15), grey);
🔗geometry-fig106
Show geometry/fig1060.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Arc | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(1,2); point B=A+(2,0); dot("$A$",A,0.25S+2W,red); dot("$B$",B,0.25S+2E,red); for (int i=0; i < 2; ++i) { real a=(i == 0) ? 60 : -100; /*<asyxml><view file="modules/geometry.asy" type="point" signature="arcsubtendedcenter(point,point,real)"/></asyxml>*/ dot(arcsubtendedcenter(A,B,a),2mm+blue); point arccenter=arcsubtendedcenter(A,B,a/2); dot(arccenter,2mm+red); /*<asyxml><view file="modules/geometry.asy" type="arc" signature="arcsubtended(point,point,real)"/></asyxml>*/ arc arcsubtended=arcsubtended(A,B,a); draw(arcsubtended,blue); arc arc=arcsubtended(A,B,a/2); draw(arc,red); point M=relpoint(arcsubtended,0.75); dot(format("%0g",degrees(B-M)-degrees(A-M)), M,(-1)^(i+1)*I*dir(arcsubtended,reltime(arcsubtended,0.6))); draw(A--M--B,blue); label(format("%0g",degrees(B-arccenter)-degrees(A-arccenter)), arccenter,(-1)^(i+1)*S); draw(A--arccenter--B,red); }
🔗geometry-fig107
Show geometry/fig1070.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Mass | #Point/Dot | #Point
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); /*<asyxml><view file="modules/geometry.asy" type="" signature="struct mass"/></asyxml>*/ mass A=mass((1,0),3);/*<asyxml><view file="modules/geometry.asy" type="mass" signature="mass(point,real)"/></asyxml>*/ mass B=mass((0,1),sqrt(3)); point C=(0.25,0); /*<asyxml><view file="modules/geometry.asy" type="void" signature="dot(picture,Label,mass,align,string,pen)"/></asyxml>*/ dot("$\left(B;\sqrt{3}\right)$",B,N,format=""); dot("C",C,S); dot("A",A,S); draw(A--B--C--cycle); /*<asyxml><view file="modules/geometry.asy" type="mass" signature="masscenter(... mass[])"/></asyxml>*/ dot("G",masscenter(A,B,mass(C)),S);
🔗geometry-fig108
Show geometry/fig1080.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle
import geometry; size(10cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); // show(currentcoordsys); /*<asyxml><view file="modules/geometry.asy" type="triangle" signature="triangleabc(real,real,real,real,point)"/></asyxml>*/ triangle t=triangleabc(3,4,5); /*<asyxml><view file="modules/geometry.asy" type="void" signature="show(picture,Label,Label,Label,Label,Label,Label,triangle,pen,filltype)"/></asyxml>*/ show(La="3", Lb="4", Lc="5",t);
🔗geometry-fig109
Show geometry/fig1090.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Markers
import geometry; size(10cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); // show(currentcoordsys); /*<asyxml><view file="modules/geometry.asy" type="triangle" signature="triangleAbc(real,real,real,real,point)"/></asyxml>*/ triangle t=triangleAbc(60,3,5,angle=90); show(Lb="3", Lc="5",t); markangle("$60^\circ$",t.B,t.A,t.C);
🔗geometry-fig110
Show geometry/fig1100.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Markers | #Label | #Segment
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75)); // show(currentcoordsys); triangle t=triangle((-1,0), (2,0), (0,2)); drawline(t, linewidth(bp)); /*<asyxml><view file="modules/geometry.asy" type="void" signature="label(picture,Label,Label,Label,triangle,real,real,pen,filltype)"/></asyxml>*/ label(t, alignFactor=4); /*<asyxml><view file="modules/geometry.asy" type="triangle" signature="anticomplementary(triangle)"/></asyxml>*/ triangle at=anticomplementary(t); draw(at, bp+0.8green); label("$A'$", "$B'$", "$C'$", at, blue); draw(segment(at.AB), bp+0.8green, StickIntervalMarker(2,1)); draw(segment(at.BC), bp+0.8green, StickIntervalMarker(2,2)); draw(segment(at.CA), bp+0.8green, CrossIntervalMarker(2,3));
🔗geometry-fig111
Show geometry/fig1110.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Circle | #Tangent | #Line | #Label | #Point
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75)); // show(currentcoordsys); triangle t=triangle((-1,0), (2,0), (0,2)); /*<asyxml><view file="modules/geometry.asy" type="void" signature="drawline(picture,triangle,pen)"/></asyxml>*/ drawline(t, linewidth(bp)); /*<asyxml><view file="modules/geometry.asy" type="void" signature="label(picture,Label,Label,Label,triangle,real,real,pen,filltype)"/></asyxml>*/ label(t,alignFactor=4); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="circle(triangle)"/></asyxml>*/ circle cc=circle(t); draw(cc, 0.8blue); dot(cc.C, blue); /*<asyxml><view file="modules/geometry.asy" type="triangle" signature="tangential(triangle)"/></asyxml>*/ triangle tgt=tangential(t); draw(tgt, bp+0.8blue); label("$A_1$", "$B_1$", "$C_1$", tgt, blue); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="incircle(triangle)"/></asyxml>*/ circle ic=incircle(t); draw(ic, 0.8red); dot(ic.C, red); triangle intouch=intouch(t); draw(intouch, bp+0.8red); label("$A_2$", "$B_2$", "$C_2$", intouch, red); /*<asyxml><view file="modules/geometry.asy" type="circle" signature="excircle(side,triangle)"/></asyxml>*/ circle ec=excircle(t.AB); clipdraw(ec, 0.8green); dot(ec.C, green); ec=excircle(t.AC); clipdraw(ec, 0.8green); dot(ec.C, green); ec=excircle(t.BC); clipdraw(ec, 0.8green); dot(ec.C, green); /*<asyxml><view file="modules/geometry.asy" type="triangle" signature="extouch(triangle)"/></asyxml>*/ triangle ext=extouch(t); draw(ext, bp+0.8green); label("$A_3$", "$B_3$", "$C_3$", ext, green); /*<asyxml><view file="modules/geometry.asy" type="point" signature="extouch(side)"/></asyxml>*/ dot(extouch(t.AB), 0.8*green); dot(extouch(t.BC), 0.8*green); dot(extouch(t.CA), 0.8*green); /*<asyxml><view file="modules/geometry.asy" type="point" signature="intouch(side)"/></asyxml>*/ dot(intouch(t.AB), 0.8*red); dot(intouch(t.BC), 0.8*red); dot(intouch(t.CA), 0.8*red); // Enlarge the bounding box of the current picture draw(box((-2.5,-3), (3.5,3.5)), invisible);
🔗geometry-fig112
Show geometry/fig1120.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Line | #Label | #Point | #Markers
import geometry; size(10cm,0); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75)); // show(currentcoordsys); triangle t=triangle((-1,0), (2,0), (0,2)); drawline(t, linewidth(bp)); label(t,alignFactor=2, alignAngle=90); /*<asyxml><view file="modules/geometry.asy" type="triangle" signature="symmedial(triangle)"/></asyxml>*/ triangle st=symmedial(t); draw(st, bp+0.8green); label("$A'$", "$B'$", "$C'$", st, alignAngle=45, 0.8green); /*<asyxml><view file="modules/geometry.asy" type="line" signature="median(vertex)"/></asyxml>*/ line mA=median(t.VA); draw(mA, blue); dot("$M_A$",midpoint(t.BC), 1.5E, blue); draw(segment(t.BC), bp+blue, StickIntervalMarker(2,2,blue)); /*<asyxml><view file="modules/geometry.asy" type="line" signature="bisector(vertex,real)"/></asyxml>*/ line bA=bisector(t.VA); draw(bA, grey); /*<asyxml><view file="modules/geometry.asy" type="point" signature="bisectorpoint(side)"/></asyxml>*/ dot("$B_A$", bisectorpoint(t.BC)); /*<asyxml><view file="modules/geometry.asy" type="line" signature="symmedian(vertex)"/></asyxml>*/ line sA=symmedian(t.VA); draw(sA, 0.8*green); draw(symmedian(t.VB), 0.8*green); draw(symmedian(t.VC), 0.8*green); /*<asyxml><view file="modules/geometry.asy" type="point" signature="symmedian(triangle)"/></asyxml>*/ point sP=symmedian(t); dot(sP); markangle(sA, (line) t.AC, radius=2cm, StickIntervalMarker(1,1)); markangle((line) t.AB, mA, radius=2cm, StickIntervalMarker(1,1)); markangle(mA, sA, radius=10cm, StickIntervalMarker(2,2));
🔗geometry-fig113
Show geometry/fig1130.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Line | #Markers | #Transform/scale/shift/rotate | #Perpendicular
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75)); // show(currentcoordsys); triangle t=rotate(-20)*triangle((-1,0), (2,0), (0,2)); drawline(t, linewidth(bp)); label(t,alignFactor=4); line bab=bisector(t.AB); draw(bab, blue); perpendicularmark(t.AB,bab,quarter=4); line bac=bisector(t.AC); draw(bac, blue); perpendicularmark(t.AC,bac,quarter=4); line bbc=bisector(t.BC); draw(bbc, blue); perpendicularmark(t.BC,bbc,quarter=4);
🔗geometry-fig114
Show geometry/fig1140.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Line | #Point | #Markers
import geometry; size(8cm,0); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,0.75)); // show(currentcoordsys); triangle t=rotate(-20)*triangle((-1,0), (2,0), (0,2)); drawline(t, linewidth(bp)); label(t, alignAngle=90, alignFactor=2); /*<asyxml><view file="modules/geometry.asy" type="point" signature="incenter(triangle)"/></asyxml>*/ point incenter=incenter(t); line ba=bisector(t.VA); draw(ba, blue); markangle((line) t.AB, (line) t.AC,StickIntervalMarker(i=2,n=1)); line bb=bisector(t.VB); draw(bb, blue); markangle((line) t.BC, (line) t.BA, radius=2cm, StickIntervalMarker(i=2,n=2)); line bc=bisector(t.VC); draw(bc, blue); markangle((line) t.CA, (line) t.CB, radius=1.5cm, StickIntervalMarker(i=2,n=3));
🔗geometry-fig115
Show geometry/fig1150.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Line | #Point | #Intersection
import geometry; size(8cm); // currentcoordsys=cartesiansystem((2,1),i=(1,0.5),j=(-0.25,.75)); // show(currentcoordsys); dotfactor *=1.5; triangle t=triangleabc(3,4,5); drawline(t, linewidth(bp)); label(t, alignFactor=3); line l=line((-1,-2), (1,0.5)); draw(l, 0.8*red); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(triangle,line,bool)"/></asyxml>*/ dot(intersectionpoints(t,l), 0.8*red); circle C=2*circle(t); draw(C, 0.8*blue); /*<asyxml><view file="modules/geometry.asy" type="point[]" signature="intersectionpoints(triangle,conic,bool)"/></asyxml>*/ dot(intersectionpoints(t,C, true), 0.8*blue);
🔗geometry-fig116
Show geometry/fig1160.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Triangle | #Line | #Point/Dot | #Distance | #Shipout | #Bbox
unitsize(1cm); import geometry; point pA = (0,0); point pB = (5,0); point pC = (5,5); dot(pA^^pB^^pC); draw(pA--pB--pC--cycle); distance(Label("$x \; \mathrm{cm}$",align=S),pA,pB,3mm); distance(Label("$y \; \mathrm{cm}$",align=E),pB,pC,3mm); distance(Label("$z \; \mathrm{cm}$",align=I*dir(pA--pC)),pA,pC,-3mm); shipout(bbox(xmargin=1mm,invisible));
🔗geometry-fig117
Show geometry/fig1170.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Inversion | #Shipout | #Bbox | #Circle | #Line
import geometry; size(15cm); inversion inv=inversion(1,(-3.6,0)); path g1=inv*line((-1,0),(-1,1)), g2=inv*line((1,0),(1,1)); fill(g1,0.91*yellow); draw(g1,linewidth(bp)); unfill(g2); //draw(g2,linewidth(bp)); int n=40; for (int i=-n; i <= n; ++i) { path g=inv*circle((point) (0,2*i),1); fill(g,(1-abs(i)/n)*orange); // draw(g,bp+0.8*orange); //draw(g,black); } shipout(bbox(5mm,Fill(rgb(0.95,0.95,0.7))));