Btukfyl

documentclass{standalone}

usepackage{tikz}

usetikzlibrary{intersections}

usetikzlibrary{calc}

begin{document}



begin{tikzpicture}



    coordinate (A) at (0,0);

    coordinate (B) at (2,4);

    coordinate (C) at (8,0);

    coordinate (M) at (4,0);



    path[name path=Circle] (B) circle [radius=3cm];

    path[name path=AB] (A)--(B);

    path[name path=BC] (B)--(C);

    path [name intersections={of=Circle and BC}];

    coordinate (E) at (intersection-1);

    path [name intersections={of=Circle and AB}];

    coordinate (D) at (intersection-1);



    draw[thick](A)--(B)--(C)--cycle;

    draw[thick](B) circle [radius=3cm];

    draw[thick](D)--(E)  (M)--(B);



    % From a point draw a parallel line by calculating the vector

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



    % Here is my problem:

    coordinate (N) at (intersection cs:first line={(B)--(M)}, second line={(C) -- +($(D)-(E)$)});



    draw[thick, red] (A)--(P) (C)--(N);



end{tikzpicture}

end{document}

documentclass{standalone}

usepackage{tikz}

usetikzlibrary{intersections}

usetikzlibrary{calc}

begin{document}



begin{tikzpicture}



    coordinate (A) at (0,0);

    coordinate (B) at (2,4);

    coordinate (C) at (8,0);

    coordinate (M) at (4,0);



    path[name path=Circle] (B) circle [radius=3cm];

    path[name path=AB] (A)--(B);

    path[name path=BC] (B)--(C);

    path [name intersections={of=Circle and BC}];

    coordinate (E) at (intersection-1);

    path [name intersections={of=Circle and AB}];

    coordinate (D) at (intersection-1);



    draw[thick](A)--(B)--(C)--cycle;

    draw[thick](B) circle [radius=3cm];

    draw[thick](D)--(E)  (M)--(B);



    % From a point draw a parallel line by calculating the vector

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



    % Here is my problem:

    coordinate (N) at (intersection cs:first line={(B)--(M)}, second line={(C) -- +($(D)-(E)$)});



    draw[thick, red] (A)--(P) (C)--(N);



end{tikzpicture}

end{document}

documentclass{standalone}

usepackage{tikz}

usetikzlibrary{intersections}

usetikzlibrary{calc}

begin{document}



begin{tikzpicture}



    coordinate (A) at (0,0);

    coordinate (B) at (2,4);

    coordinate (C) at (8,0);

    coordinate (M) at (4,0);



    path[name path=Circle] (B) circle [radius=3cm];

    path[name path=AB] (A)--(B);

    path[name path=BC] (B)--(C);

    path [name intersections={of=Circle and BC}];

    coordinate (E) at (intersection-1);

    path [name intersections={of=Circle and AB}];

    coordinate (D) at (intersection-1);



    draw[thick](A)--(B)--(C)--cycle;

    draw[thick](B) circle [radius=3cm];

    draw[thick](D)--(E)  (M)--(B);



    % From a point draw a parallel line by calculating the vector

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



    % Here is my problem:

    coordinate (N) at (intersection cs:first line={(B)--(M)}, second line={(C) -- +($(D)-(E)$)});



    draw[thick, red] (A)--(P) (C)--(N);



end{tikzpicture}

end{document}

documentclass{standalone}

usepackage{tikz}

usetikzlibrary{intersections}

usetikzlibrary{calc}

begin{document}



begin{tikzpicture}



    coordinate (A) at (0,0);

    coordinate (B) at (2,4);

    coordinate (C) at (8,0);

    coordinate (M) at (4,0);



    path[name path=Circle] (B) circle [radius=3cm];

    path[name path=AB] (A)--(B);

    path[name path=BC] (B)--(C);

    path [name intersections={of=Circle and BC}];

    coordinate (E) at (intersection-1);

    path [name intersections={of=Circle and AB}];

    coordinate (D) at (intersection-1);



    draw[thick](A)--(B)--(C)--cycle;

    draw[thick](B) circle [radius=3cm];

    draw[thick](D)--(E)  (M)--(B);



    % From a point draw a parallel line by calculating the vector

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



    % Here is my problem:

    coordinate (N) at (intersection cs:first line={(B)--(M)}, second line={(C) -- +($(D)-(E)$)});



    draw[thick, red] (A)--(P) (C)--(N);



end{tikzpicture}

end{document}

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