Finding the intersection of two circles












1















I am attempting to use pair intersectionpoints to find and label the intersection points of the circles defined by path h and path g. Thanks for the help.



documentclass{standalone}

usepackage{asypictureB}



begin{document}



begin{asypicture}{name=Label}

import olympiad;

size(7cm);

import graph;

pair A=(0,0);

dot(A);

label("$A$",A,W);

pair C=A+18dir(40);

dot(C);

label("$C$",C,N);

pair D=A+16dir(20);

dot(D);

label("$D$",D,SE);

pair e=A+9dir(20);

dot(e);

label("$E$",e,NE);

pair F=A+8dir(40);

dot(F);

label("$F$",F,W);

path g = circle(A,12);

draw(g);

path h = circumcircle(F,D,C);

pair intersectionpoints(path g, path h);

dot(point([0]);

dot(point([1]);

draw(A--C);

draw(A--D);

pair O=circumcenter(F,D,C); // olympiad - circumcenter

dot(O);

label("$O$",O,S);

draw(circumcircle(F,D,C)); // olympiad - circumcircle

end{asypicture}



end{document}





asymptote intersections







share|improve this question

























  • It think there shouldn't be a begin{asy} after begin{asypicture}{name=Label} and end{asy} should be end{asypicture}.

    – marmot
    8 hours ago











  • Thanks Marmot, I've made those edits. Still hasn't solved the problem of plotting the intersections.

    – Ari Gass
    8 hours ago
















1















I am attempting to use pair intersectionpoints to find and label the intersection points of the circles defined by path h and path g. Thanks for the help.



documentclass{standalone}

usepackage{asypictureB}



begin{document}



begin{asypicture}{name=Label}

import olympiad;

size(7cm);

import graph;

pair A=(0,0);

dot(A);

label("$A$",A,W);

pair C=A+18dir(40);

dot(C);

label("$C$",C,N);

pair D=A+16dir(20);

dot(D);

label("$D$",D,SE);

pair e=A+9dir(20);

dot(e);

label("$E$",e,NE);

pair F=A+8dir(40);

dot(F);

label("$F$",F,W);

path g = circle(A,12);

draw(g);

path h = circumcircle(F,D,C);

pair intersectionpoints(path g, path h);

dot(point([0]);

dot(point([1]);

draw(A--C);

draw(A--D);

pair O=circumcenter(F,D,C); // olympiad - circumcenter

dot(O);

label("$O$",O,S);

draw(circumcircle(F,D,C)); // olympiad - circumcircle

end{asypicture}



end{document}





asymptote intersections







share|improve this question

























  • It think there shouldn't be a begin{asy} after begin{asypicture}{name=Label} and end{asy} should be end{asypicture}.

    – marmot
    8 hours ago











  • Thanks Marmot, I've made those edits. Still hasn't solved the problem of plotting the intersections.

    – Ari Gass
    8 hours ago














1












1








1








I am attempting to use pair intersectionpoints to find and label the intersection points of the circles defined by path h and path g. Thanks for the help.



documentclass{standalone}

usepackage{asypictureB}



begin{document}



begin{asypicture}{name=Label}

import olympiad;

size(7cm);

import graph;

pair A=(0,0);

dot(A);

label("$A$",A,W);

pair C=A+18dir(40);

dot(C);

label("$C$",C,N);

pair D=A+16dir(20);

dot(D);

label("$D$",D,SE);

pair e=A+9dir(20);

dot(e);

label("$E$",e,NE);

pair F=A+8dir(40);

dot(F);

label("$F$",F,W);

path g = circle(A,12);

draw(g);

path h = circumcircle(F,D,C);

pair intersectionpoints(path g, path h);

dot(point([0]);

dot(point([1]);

draw(A--C);

draw(A--D);

pair O=circumcenter(F,D,C); // olympiad - circumcenter

dot(O);

label("$O$",O,S);

draw(circumcircle(F,D,C)); // olympiad - circumcircle

end{asypicture}



end{document}





asymptote intersections







share|improve this question
















I am attempting to use pair intersectionpoints to find and label the intersection points of the circles defined by path h and path g. Thanks for the help.



documentclass{standalone}

usepackage{asypictureB}



begin{document}



begin{asypicture}{name=Label}

import olympiad;

size(7cm);

import graph;

pair A=(0,0);

dot(A);

label("$A$",A,W);

pair C=A+18dir(40);

dot(C);

label("$C$",C,N);

pair D=A+16dir(20);

dot(D);

label("$D$",D,SE);

pair e=A+9dir(20);

dot(e);

label("$E$",e,NE);

pair F=A+8dir(40);

dot(F);

label("$F$",F,W);

path g = circle(A,12);

draw(g);

path h = circumcircle(F,D,C);

pair intersectionpoints(path g, path h);

dot(point([0]);

dot(point([1]);

draw(A--C);

draw(A--D);

pair O=circumcenter(F,D,C); // olympiad - circumcenter

dot(O);

label("$O$",O,S);

draw(circumcircle(F,D,C)); // olympiad - circumcircle

end{asypicture}



end{document}





asymptote intersections




asymptote intersections






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 8 hours ago







Ari Gass

















asked 8 hours ago









Ari GassAri Gass

254




254













  • It think there shouldn't be a begin{asy} after begin{asypicture}{name=Label} and end{asy} should be end{asypicture}.

    – marmot
    8 hours ago











  • Thanks Marmot, I've made those edits. Still hasn't solved the problem of plotting the intersections.

    – Ari Gass
    8 hours ago



















  • It think there shouldn't be a begin{asy} after begin{asypicture}{name=Label} and end{asy} should be end{asypicture}.

    – marmot
    8 hours ago











  • Thanks Marmot, I've made those edits. Still hasn't solved the problem of plotting the intersections.

    – Ari Gass
    8 hours ago

















It think there shouldn't be a begin{asy} after begin{asypicture}{name=Label} and end{asy} should be end{asypicture}.

– marmot
8 hours ago





It think there shouldn't be a begin{asy} after begin{asypicture}{name=Label} and end{asy} should be end{asypicture}.

– marmot
8 hours ago













Thanks Marmot, I've made those edits. Still hasn't solved the problem of plotting the intersections.

– Ari Gass
8 hours ago





Thanks Marmot, I've made those edits. Still hasn't solved the problem of plotting the intersections.

– Ari Gass
8 hours ago










1 Answer
1






active

oldest

votes


















2














After downloading opympiad.asy from this web site, it was easy. I guess you have misinterpreted the statement in this nice tutorial a bit, so I adjusted pair intersectionpoints(path g, path h); a bit and removed other syntax errors to get



documentclass{standalone}

usepackage{asypictureB}



begin{document}



begin{asypicture}{name=Label}

import olympiad;

size(7cm);

import graph;

pair A=(0,0);

dot(A);

label("$A$",A,W);

pair C=A+18*dir(40);

dot(C);

label("$C$",C,N);

pair D=A+16*dir(20);

dot(D);

label("$D$",D,SE);

pair e=A+9*dir(20);

dot(e);

label("$E$",e,NE);

pair F=A+8*dir(40);

dot(F);

label("$F$",F,W);

path g = circle(A,12);

draw(g);

path h = circumcircle(F,D,C);

pair ipoints = intersectionpoints(g,h);

dot(ipoints[0]);

dot(ipoints[1]);

draw(A--C);

draw(A--D);

pair O=circumcenter(F,D,C); // olympiad - circumcenter

dot(O);

label("$O$",O,S);

draw(h); // olympiad - circumcircle

end{asypicture}

end{document}


enter image description here






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    1 Answer
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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    2














    After downloading opympiad.asy from this web site, it was easy. I guess you have misinterpreted the statement in this nice tutorial a bit, so I adjusted pair intersectionpoints(path g, path h); a bit and removed other syntax errors to get



    documentclass{standalone}
    
usepackage{asypictureB}
    

    
begin{document}
    

    
begin{asypicture}{name=Label}
    
import olympiad;
    
size(7cm);
    
import graph;
    
pair A=(0,0);
    
dot(A);
    
label("$A$",A,W);
    
pair C=A+18*dir(40);
    
dot(C);
    
label("$C$",C,N);
    
pair D=A+16*dir(20);
    
dot(D);
    
label("$D$",D,SE);
    
pair e=A+9*dir(20);
    
dot(e);
    
label("$E$",e,NE);
    
pair F=A+8*dir(40);
    
dot(F);
    
label("$F$",F,W);
    
path g = circle(A,12);
    
draw(g);
    
path h = circumcircle(F,D,C);
    
pair ipoints = intersectionpoints(g,h);
    
dot(ipoints[0]);
    
dot(ipoints[1]);
    
draw(A--C);
    
draw(A--D);
    
pair O=circumcenter(F,D,C); // olympiad - circumcenter
    
dot(O);
    
label("$O$",O,S);
    
draw(h); // olympiad - circumcircle
    
end{asypicture}
    
end{document}


    enter image description here






    share|improve this answer






























      2














      After downloading opympiad.asy from this web site, it was easy. I guess you have misinterpreted the statement in this nice tutorial a bit, so I adjusted pair intersectionpoints(path g, path h); a bit and removed other syntax errors to get



      documentclass{standalone}
      
usepackage{asypictureB}
      

      
begin{document}
      

      
begin{asypicture}{name=Label}
      
import olympiad;
      
size(7cm);
      
import graph;
      
pair A=(0,0);
      
dot(A);
      
label("$A$",A,W);
      
pair C=A+18*dir(40);
      
dot(C);
      
label("$C$",C,N);
      
pair D=A+16*dir(20);
      
dot(D);
      
label("$D$",D,SE);
      
pair e=A+9*dir(20);
      
dot(e);
      
label("$E$",e,NE);
      
pair F=A+8*dir(40);
      
dot(F);
      
label("$F$",F,W);
      
path g = circle(A,12);
      
draw(g);
      
path h = circumcircle(F,D,C);
      
pair ipoints = intersectionpoints(g,h);
      
dot(ipoints[0]);
      
dot(ipoints[1]);
      
draw(A--C);
      
draw(A--D);
      
pair O=circumcenter(F,D,C); // olympiad - circumcenter
      
dot(O);
      
label("$O$",O,S);
      
draw(h); // olympiad - circumcircle
      
end{asypicture}
      
end{document}


      enter image description here






      share|improve this answer




























        2












        2








        2







        After downloading opympiad.asy from this web site, it was easy. I guess you have misinterpreted the statement in this nice tutorial a bit, so I adjusted pair intersectionpoints(path g, path h); a bit and removed other syntax errors to get



        documentclass{standalone}
        
usepackage{asypictureB}
        

        
begin{document}
        

        
begin{asypicture}{name=Label}
        
import olympiad;
        
size(7cm);
        
import graph;
        
pair A=(0,0);
        
dot(A);
        
label("$A$",A,W);
        
pair C=A+18*dir(40);
        
dot(C);
        
label("$C$",C,N);
        
pair D=A+16*dir(20);
        
dot(D);
        
label("$D$",D,SE);
        
pair e=A+9*dir(20);
        
dot(e);
        
label("$E$",e,NE);
        
pair F=A+8*dir(40);
        
dot(F);
        
label("$F$",F,W);
        
path g = circle(A,12);
        
draw(g);
        
path h = circumcircle(F,D,C);
        
pair ipoints = intersectionpoints(g,h);
        
dot(ipoints[0]);
        
dot(ipoints[1]);
        
draw(A--C);
        
draw(A--D);
        
pair O=circumcenter(F,D,C); // olympiad - circumcenter
        
dot(O);
        
label("$O$",O,S);
        
draw(h); // olympiad - circumcircle
        
end{asypicture}
        
end{document}


        enter image description here






        share|improve this answer















        After downloading opympiad.asy from this web site, it was easy. I guess you have misinterpreted the statement in this nice tutorial a bit, so I adjusted pair intersectionpoints(path g, path h); a bit and removed other syntax errors to get



        documentclass{standalone}
        
usepackage{asypictureB}
        

        
begin{document}
        

        
begin{asypicture}{name=Label}
        
import olympiad;
        
size(7cm);
        
import graph;
        
pair A=(0,0);
        
dot(A);
        
label("$A$",A,W);
        
pair C=A+18*dir(40);
        
dot(C);
        
label("$C$",C,N);
        
pair D=A+16*dir(20);
        
dot(D);
        
label("$D$",D,SE);
        
pair e=A+9*dir(20);
        
dot(e);
        
label("$E$",e,NE);
        
pair F=A+8*dir(40);
        
dot(F);
        
label("$F$",F,W);
        
path g = circle(A,12);
        
draw(g);
        
path h = circumcircle(F,D,C);
        
pair ipoints = intersectionpoints(g,h);
        
dot(ipoints[0]);
        
dot(ipoints[1]);
        
draw(A--C);
        
draw(A--D);
        
pair O=circumcenter(F,D,C); // olympiad - circumcenter
        
dot(O);
        
label("$O$",O,S);
        
draw(h); // olympiad - circumcircle
        
end{asypicture}
        
end{document}


        enter image description here







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 7 hours ago

























        answered 8 hours ago









        marmotmarmot

        116k5147277




        116k5147277






























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