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1% fig-i-1.tex — I.1: equilateral triangle on a given segment.
2\begin{figure}[H]
3\centering
4\begin{tikzpicture}[scale=1.2, line cap=round]
5 \coordinate (A) at (0,0);
6 \coordinate (B) at (2,0);
7 \coordinate (C) at (1,{sqrt(3)});
8 % Two circles, centres A and B, radius AB.
9 \draw[thin] (A) circle (2);
10 \draw[thin] (B) circle (2);
11 % Triangle.
12 \draw[very thick] (A) -- (B) -- (C) -- cycle;
13 % Labels.
14 \node[below left] at (A) {$A$};
15 \node[below right] at (B) {$B$};
16 \node[above] at (C) {$C$};
17\end{tikzpicture}
18\caption{Proposition I.1. The two circles with centres $A$ and $B$ and
19common radius $AB$ meet at $C$; the triangle $ABC$ is equilateral.}
20\label{fig:I.1}
21\end{figure}
22
