PWWs-01-09

Trisection of an Angle in an Infinite Number of Steps

PWWs-01-09
\documentclass[tikz, border=2pt]{standalone}
\usetikzlibrary{calc}
\usetikzlibrary{math}
%\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[line width=1pt]
  \tikzmath{
    \A = 120;
    \l = 5;
  }
  \coordinate (O) at (0, 0);
  \filldraw (O) circle [radius=2pt];
  \foreach \a in {0, \A}
    \draw (O) -- (\a:\l);
  \foreach \a/\i in {0.5*\A/1, 0.25*\A/2, 0.375*\A/3, 0.3125*\A/4}{
    \draw (O) -- (\a:\l) node[above right] {\i};
  }
  \draw[dashed] (O) -- ++(1/3*\A:1.3*\l);
  \node[below=5mm, align=center] () at ($(O)+(0.3*\l, 0)$) {
      $\displaystyle\frac{1}{3}=\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+\cdots$
    }
\end{tikzpicture}

\end{document}

Comments

Comments powered by Disqus