Asymptote using geometry.asy – fig0810

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 14 h 02 min

Figure 0081
(Compiled with Asymptote version 2.14svn-r5318)
    
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;
/* View the definition of struct arc */
arc C=arc(ellipse(A,2R,R),45,180,fromCenter);
draw(C,Arrow);

/* View the definition of arc complementary(arc) */
draw(complementary(C),dashed+grey,Arrow(position=Relative(0.75)));

/* View the definition of arc *(transform,explicit arc) */
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;
/* View the definition of arc reverse(arc) */
draw(reverse(Cp),0.8*yellow,Arrow);

arc Cp=scale(0.9,A)*C;
draw(rotate(225,A)*Cp,0.8green,Arrow);

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Asymptote using geometry.asy – fig0820

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 15 h 02 min

Figure 0082
(Compiled with Asymptote version 2.14svn-r5318)
    
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));

/* View the definition of void markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker) */
markarc(format("%0g",degrees(C)), C, Arrow);

/* View the definition of arc *(real, explicit arc) */
draw(0.5*C,2mm+yellow);

arc Cp=C/3;
draw(Cp,1mm+blue);
markarc(format("%0g",degrees(Cp)), radius=25mm, Cp, blue, Arrow);

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Asymptote using geometry.asy – fig0830

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 16 h 02 min

Figure 0083
(Compiled with Asymptote version 2.14svn-r5318)
    
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));

/* View the definition of void markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker) */
markarc(format("%0g",degrees(C)), C, radius=markangleradius(), Arrow);

/* View the definition of arc *(real, explicit arc) */
draw(0.5*C, 2mm+yellow);

arc Cp=C/3;
draw(Cp, 1mm+blue);
markarc(format("%0g",degrees(Cp)), radius=-25mm, Cp, blue, Arrow);

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Asymptote using geometry.asy – fig0840

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 17 h 02 min

Figure 0084
(Compiled with Asymptote version 2.14svn-r5318)
    
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));

/* View the definition of void markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker) */
markarc(format("%0g", degrees(a)), radius=-0.5*markangleradius(), a);

/* View the definition of arc *(real, explicit arc) */
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);

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Asymptote using geometry.asy – fig0850

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 18 h 02 min

Figure 0085
(Compiled with Asymptote version 2.14svn-r5318)
    
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);

/* View the definition of void markarc(picture,Label,int,real,real,arc,arrowbar,pen,pen,margin,marker) */
markarc(format("%0g", degrees(a)), radius=2.5*markangleradius(), a);

/* View the definition of arc *(real, explicit arc) */
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);

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Asymptote using geometry.asy – fig0860

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 19 h 02 min

Figure 0086
(Compiled with Asymptote version 2.14svn-r5318)
    
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);

/* View the definition of real degrees(arc) */
write(degrees(C)); // Output is 225

draw(complementary(C), grey+dashed);
distance("$R=2$",A,point(C,0),0);

/* View the definition of point relpoint(arc,real) */
dot("relpoint(C, 0)", relpoint(C,0),E);

/* View the definition of point point(arc,abscissa) */
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);

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Asymptote using geometry.asy – fig0870

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 20 h 02 min

Figure 0087
(Compiled with Asymptote version 2.14svn-r5318)
    
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);

/* View the definition of point relpoint(arc,real) */
dot("relpoint(C, 0)", relpoint(C,0),W);

/* View the definition of point point(arc,abscissa) */
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);

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Asymptote using geometry.asy – fig0880

Category: Asymptote,Examples 2D,geometry.asyPh. Ivaldi @ 21 h 02 min

Figure 0088
(Compiled with Asymptote version 2.14svn-r5318)
    
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);
/* View the definition of void distance(picture pic,Label,point,point,bool,real,pen,pen,arrow) */
distance("$R=2$",A,point(C.el,0),0);

/* View the definition of point curpoint(arc,real) */
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);

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Asymptote using geometry.asy – fig0890

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

Figure 0089
(Compiled with Asymptote version 2.14svn-r5318)
    
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);

/* View the definition of point curpoint(arc,real) */
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);

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Asymptote using geometry.asy – fig0900

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

Figure 0090
(Compiled with Asymptote version 2.14svn-r5318)
    
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);

/* View the definition of point angpoint(arc,real) */
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);

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