I'm trying to draw a little picture with TikZ. It should show an equilateral triangle with length 1 and circles with radius 1/2 on each corner of the triangle. Next, the intersections of the circles should be highlighted with a dot
. This is what I tried so far:
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{intersections}
\begin{document}
\begin{tikzpicture}[scale=1.5]
\coordinate (a) at (0,0);
\coordinate (b) at (1,0);
\coordinate (c) at (0.5,0.866);
\draw[dashed] (a)--(b)--(c)--(a);
\draw[name path=circleA] (a) circle (0.5);
\draw[name path=circleB] (b) circle (0.5);
\draw[name path=circleC] (c) circle (0.5);
\fill (0.5,0) circle (1pt);
\path [name intersections={of=circleA and circleC,name=AC}];
\fill (AC-1) circle (1pt);
\path[name intersections={of=circleB and circleC,name=BC}];
\fill (BC-1) circle (1pt);
\end{tikzpicture}
\end{document}
As one can see, the intersections aren't placed exactly where they should be, because the triangle isn't perfectly equilateral. How can I do that?
\coordinate (c) at (60:1);
for coordinate c. Then the rest should work out by itself ;-)