Intersection of a circle and a line “path”












0














(With all the questions about the intersection of a straight line and a circle, I hope this not a duplicate.)



documentclass{standalone}
usepackage{tikz}
usetikzlibrary{intersections}
begin{document}
begin{tikzpicture}[
plotmark/.style = {%
solid, fill = red, circle, inner sep = 0pt, minimum size = 6pt
}
]
coordinate (A) at (0,0);
coordinate (B) at (1,1);
coordinate (C) at (3,1);
coordinate (D) at (4,0);

draw[->] (A)--(B);
draw[->] (D)--(C);
draw[dashed] (A) circle [radius=2];

coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)});

node[plotmark, label={below:$A$}] at (A) {};
node[plotmark, label={below:$D$}] at (D) {};
node[plotmark, label={above:$I$}] at (I) {};
end{tikzpicture}
end{document}


In the above code, even though the line segments (A)--(B) and (D)--(C) do not meet, coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)}); calculates the intersection point, and outputs:



enter image description here



Is there a way to use the intersection cs syntax to locate the intersection of the path AB with the circle?



The following syntax requires that the line segment and the circle actually meet:



path[name path=Circle] (A) circle [radius=2];
path[name path=AB] (A)--(B);
path [name intersections={of=Circle and AB}];
coordinate (I) at (intersection-1);








share



























    0














    (With all the questions about the intersection of a straight line and a circle, I hope this not a duplicate.)



    documentclass{standalone}
    usepackage{tikz}
    usetikzlibrary{intersections}
    begin{document}
    begin{tikzpicture}[
    plotmark/.style = {%
    solid, fill = red, circle, inner sep = 0pt, minimum size = 6pt
    }
    ]
    coordinate (A) at (0,0);
    coordinate (B) at (1,1);
    coordinate (C) at (3,1);
    coordinate (D) at (4,0);

    draw[->] (A)--(B);
    draw[->] (D)--(C);
    draw[dashed] (A) circle [radius=2];

    coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)});

    node[plotmark, label={below:$A$}] at (A) {};
    node[plotmark, label={below:$D$}] at (D) {};
    node[plotmark, label={above:$I$}] at (I) {};
    end{tikzpicture}
    end{document}


    In the above code, even though the line segments (A)--(B) and (D)--(C) do not meet, coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)}); calculates the intersection point, and outputs:



    enter image description here



    Is there a way to use the intersection cs syntax to locate the intersection of the path AB with the circle?



    The following syntax requires that the line segment and the circle actually meet:



    path[name path=Circle] (A) circle [radius=2];
    path[name path=AB] (A)--(B);
    path [name intersections={of=Circle and AB}];
    coordinate (I) at (intersection-1);








    share

























      0












      0








      0







      (With all the questions about the intersection of a straight line and a circle, I hope this not a duplicate.)



      documentclass{standalone}
      usepackage{tikz}
      usetikzlibrary{intersections}
      begin{document}
      begin{tikzpicture}[
      plotmark/.style = {%
      solid, fill = red, circle, inner sep = 0pt, minimum size = 6pt
      }
      ]
      coordinate (A) at (0,0);
      coordinate (B) at (1,1);
      coordinate (C) at (3,1);
      coordinate (D) at (4,0);

      draw[->] (A)--(B);
      draw[->] (D)--(C);
      draw[dashed] (A) circle [radius=2];

      coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)});

      node[plotmark, label={below:$A$}] at (A) {};
      node[plotmark, label={below:$D$}] at (D) {};
      node[plotmark, label={above:$I$}] at (I) {};
      end{tikzpicture}
      end{document}


      In the above code, even though the line segments (A)--(B) and (D)--(C) do not meet, coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)}); calculates the intersection point, and outputs:



      enter image description here



      Is there a way to use the intersection cs syntax to locate the intersection of the path AB with the circle?



      The following syntax requires that the line segment and the circle actually meet:



      path[name path=Circle] (A) circle [radius=2];
      path[name path=AB] (A)--(B);
      path [name intersections={of=Circle and AB}];
      coordinate (I) at (intersection-1);








      share













      (With all the questions about the intersection of a straight line and a circle, I hope this not a duplicate.)



      documentclass{standalone}
      usepackage{tikz}
      usetikzlibrary{intersections}
      begin{document}
      begin{tikzpicture}[
      plotmark/.style = {%
      solid, fill = red, circle, inner sep = 0pt, minimum size = 6pt
      }
      ]
      coordinate (A) at (0,0);
      coordinate (B) at (1,1);
      coordinate (C) at (3,1);
      coordinate (D) at (4,0);

      draw[->] (A)--(B);
      draw[->] (D)--(C);
      draw[dashed] (A) circle [radius=2];

      coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)});

      node[plotmark, label={below:$A$}] at (A) {};
      node[plotmark, label={below:$D$}] at (D) {};
      node[plotmark, label={above:$I$}] at (I) {};
      end{tikzpicture}
      end{document}


      In the above code, even though the line segments (A)--(B) and (D)--(C) do not meet, coordinate (I) at (intersection cs:first line={(A)--(B)}, second line={(C)--(D)}); calculates the intersection point, and outputs:



      enter image description here



      Is there a way to use the intersection cs syntax to locate the intersection of the path AB with the circle?



      The following syntax requires that the line segment and the circle actually meet:



      path[name path=Circle] (A) circle [radius=2];
      path[name path=AB] (A)--(B);
      path [name intersections={of=Circle and AB}];
      coordinate (I) at (intersection-1);






      tikz-pgf intersections





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