Tag Arc -- Asymptote Gallery

🔗Asymptote Gallery Tagged by “Arc” #65

🔗generalities-fig058

Show generalities/fig0580.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Generalities
Tags : #Fill/Unfill | #Shading | #Arc | #Loop/for/while | #Transform/scale/shift/rotate

// Author: John Bowman
size(10cm,0);

real r=1;
real R=3.8;

int step=30;
path p=arc(0,r,0,step);
path P=arc(0,R,step,0);
for(int h=0; h < 360; h += step) {
  transform t=rotate(90-h);
  tensorshade(t*p--t*P--cycle,
              new pen[] {white,white,hsv(h-step,1,1),hsv(h,1,1)});
}

for(int h=0; h < 360; h += 30) {
  pair v=R*dir(90-h);
  draw(Label(string(h)+"$^\circ$",EndPoint),(v--1.05v));
}

draw(circle(0,r));
draw(circle(0,R));

🔗generalities-fig100

Show generalities/fig1000.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Generalities
Tags : #Basis | #Circle | #Arc

size(0,0);
pair O=0;

defaultpen(linewidth(2mm));
draw(arc(O,4cm,0,60), .8red, BeginPenMargin);
draw(arc(O,4cm,60,120), .7green, PenMargins);
draw(arc(O,-4cm,0,120), .7blue);

🔗generalities-fig102

Show generalities/fig1020.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Generalities
Tags : #Basis | #Loop/for/while | #Fill/Unfill | #Arc

size(6cm,0);

real a=360/6;
for (int i = -1; i < 5; ++i)
  fill(arc((0,0),1,i*a,(i+1)*a)--cycle,grey);

🔗generalities-fig103

Show generalities/fig1030.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Generalities
Tags : #Basis | #Loop/for/while | #Fill/Unfill | #Arc

size(6cm,0);

real n=7, a=360/n;
for (int i = 0; i < n; ++i)
  filldraw((0,0)--arc((0,0),1,i*a,(i+1)*a)--cycle, i/n*blue + (1-i/n)*green + grey);

🔗generalities-fig104

Show generalities/fig1040.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Generalities
Tags : #Basis | #Loop/for/while | #Fill/Unfill | #Arc | #Label | #Number format | #Align

size(6cm,0);

real a=360/6;
for (int i = -1; i < 5; ++i)
  draw(Label(format("%i",i+1)),arc((0,0),10,i*a,(i+1)*a)--cycle,grey);

🔗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-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-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);
 }

This page was generated by the Asymptote Exemples Builder
Last modified the 2025-06-30 22:08:01
©2011 Philippe Ivaldi