Dtyjlui

Question: How can i put black node of different size at every vertex.(i mean at A, B, C, D and E)?

MWE:

documentclass{article}



usepackage{tikz}



usepackage{tkz-euclide}



usetkzobj{all}



begin{document}



    begin{tikzpicture}



    coordinate (O) at (0,0);



    draw (O) circle (2.5);



    coordinate[label = above left:$A$] (A) at (130:2.5);



    coordinate[label = above right:$D$] (D) at (58:2.5);



    coordinate[label = right:$C$] (C) at (0:2.5);



    coordinate[label = left:$B$] (B) at (180:2.5);



    draw (B) -- (D) -- (C);



    draw (B) -- (A) -- (C);



    draw (B) -- (C);



    tkzInterLL(A,C)(B,D) tkzGetPoint{E}



    tkzLabelPoints[above](E)



    end{tikzpicture}



    end{document}

Just by drawing a filled circle at each nodes corresponding to those vertices as in

documentclass{article}



usepackage{tikz}



usepackage{tkz-euclide}



usetkzobj{all}



begin{document}



    begin{tikzpicture}



    coordinate (O) at (0,0);



    draw (O) circle (2.5);



    coordinate[label = above left:$A$] (A) at (130:2.5);



    coordinate[label = above right:$D$] (D) at (58:2.5);



    coordinate[label = right:$C$] (C) at (0:2.5);



    coordinate[label = left:$B$] (B) at (180:2.5);



    draw (B) -- (D) -- (C);



    draw (B) -- (A) -- (C);



    draw (B) -- (C);



    tkzInterLL(A,C)(B,D) tkzGetPoint{E}



    tkzLabelPoints[above](E)

    % lets place the dots

    node at (A)[circle,fill,inner sep=1pt]{};

    node at (B)[circle,fill,inner sep=1.5pt]{};

    node at (C)[circle,fill,inner sep=2pt]{};

    node at (D)[circle,fill,inner sep=2.5pt]{};

    node at (E)[circle,fill,inner sep=3pt]{};

    end{tikzpicture}



end{document}

which will give you

PS: Of course, you can add some smart looping to play with the size as well ;) as the number of vertices grow.

Addendum 1 For fun, now the looping part!

documentclass{article}



usepackage{tikz}



usepackage{tkz-euclide}



usetkzobj{all}



begin{document}



    begin{tikzpicture}



    coordinate (O) at (0,0);



    draw (O) circle (2.5);



    coordinate[label = above left:$A$] (A) at (130:2.5);



    coordinate[label = above right:$D$] (D) at (58:2.5);



    coordinate[label = right:$C$] (C) at (0:2.5);



    coordinate[label = left:$B$] (B) at (180:2.5);



    draw (B) -- (D) -- (C);



    draw (B) -- (A) -- (C);



    draw (B) -- (C);



    tkzInterLL(A,C)(B,D) tkzGetPoint{E}



    tkzLabelPoints[above](E)

    % lets place the dots

    foreach n/m in {A/1,B/1.5,C/2,D/2.5,E/3}

    node at (n)[circle,fill,inner sep=m pt]{};

    end{tikzpicture}



end{document}

Using TiKz intersections library (from tikzpgfmanual, page 87):

Coordinate system intersection: To specify the intersection of two

line, you provide two lines using the following two options:

first line=(first coordinate)--(second coordinate)

second line=(first coordinate)--(second coordinate)

documentclass[margin=5mm]{standalone}



usepackage{tikz}

usetikzlibrary{intersections}



begin{document}

    begin{tikzpicture}

    coordinate (O) at (0,0);

    draw (O) circle (2.5);

    coordinate[label = above left:$A$] (A) at (130:2.5);

    coordinate[label = above right:$D$] (D) at (58:2.5);

    coordinate[label = right:$C$] (C) at (0:2.5);

    coordinate[label = left:$B$] (B) at (180:2.5);

    draw (B)--(D)--(C)--(A)--(B)--(C);

   fill (intersection cs:first line={(A)--(C)},

              second line={(B)--(D)}) circle (2pt)node[above]{$E$};

   fill (intersection cs:first line={(A)--(B)},

              second line={(A)--(C)}) circle (2pt);

   fill (intersection cs:first line={(A)--(B)},

              second line={(B)--(C)}) circle (2pt);

   fill (intersection cs:first line={(D)--(C)},

              second line={(B)--(C)}) circle (2pt);

   fill (intersection cs:first line={(D)--(C)},

              second line={(B)--(D)}) circle (2pt);   

    end{tikzpicture}

end{document}

For different size and color:

documentclass[margin=5mm]{standalone}



usepackage{tikz}

usetikzlibrary{intersections}

begin{document}

    begin{tikzpicture}

    coordinate (O) at (0,0);

    draw (O) circle (2.5);

    coordinate[label = above left:$A$] (A) at (130:2.5);

    coordinate[label = above right:$D$] (D) at (58:2.5);

    coordinate[label = right:$C$] (C) at (0:2.5);

    coordinate[label = left:$B$] (B) at (180:2.5);

    draw (B) -- (D) -- (C)--(A)--(B)--(C);

   fill[red] (intersection cs:first line={(A)--(C)},

              second line={(B)--(D)}) circle (2pt)node[above]{$E$};

   fill[blue] (intersection cs:first line={(A)--(B)},

              second line={(A)--(C)}) circle (1pt);

   fill[orange] (intersection cs:first line={(A)--(B)},

              second line={(B)--(C)}) circle (2.5pt);

   fill[magenta] (intersection cs:first line={(D)--(C)},

              second line={(B)--(C)}) circle (3pt);

   fill[cyan] (intersection cs:first line={(D)--(C)},

              second line={(B)--(D)}) circle (4pt);   

    end{tikzpicture}

end{document}

Just for fun:

documentclass{article}

usepackage{tikz}

usepackage{tkz-euclide}

usepackage{circuitikz}% oh joy, another package!



usetkzobj{all}



begin{document}

    begin{tikzpicture}

    coordinate (O) at (0,0);

    draw (O) circle (2.5);

    coordinate[label = above left:$A$] (A) at (130:2.5);

    coordinate[label = above right:$D$] (D) at (58:2.5);

    coordinate[label = right:$C$] (C) at (0:2.5);

    coordinate[label = left:$B$] (B) at (180:2.5);

    draw (B) to[short,*-*] (D) to[short,-*] (C);

    draw (B) to[short,-*] (A) -- (C);

    draw (B) -- (C);

    tkzInterLL(A,C)(B,D) tkzGetPoint{E}

    node[circ,label=$E$] at (E) {};

    end{tikzpicture}

end{document}