LaTeX + Tikz 조합으로 그림 자료 생성

\begin{tikzpicture}

% Define points

\tkzDefPoints{0/0/A, 8/0/B} % Segment AB

\tkzDefMidPoint(A,B) \tkzGetPoint{O} % Midpoint O of AB

\tkzDefPoint(4.51,1.2086){U}

\tkzDefPoint(5.906,1.2086){T}

\tkzDefPoint(5.208,0){S}

\tkzDefPoint(4.51,0){U'}

\tkzDefPoint(5.906,0){T'}

% Draw semicircle

\tkzDrawArc(O,B)(A)

% Define key triangle points

\tkzDefPointBy[rotation=center O angle 30](B) \tkzGetPoint{P}

\tkzDefPointBy[rotation=center O angle 120](B) \tkzGetPoint{Q}

\tkzInterLL(A,P)(B,Q) \tkzGetPoint{R}

\tkzDefLine[perpendicular=through R,K=-0.5](A,B) \tkzGetPoint{r}

\tkzInterLL(A,B)(R,r)  \tkzGetPoint{R'} 

\tkzFillPolygon[white](A,Q,O)

% Fill shaded areas

\begin{scope}

        \fill[gray!30] (A) -- (Q) -- (R) -- cycle;

        \fill[gray!50] (S) -- (T) -- (U) -- cycle;

\end{scope}

\tkzDrawPolygons(U,T,S)

% Draw main triangle and segments

\tkzDrawSegments(A,B A,Q A,P B,Q R,R')

% Angles

\tkzMarkRightAngles[size=0.2](A,Q,B R,R',B)

\tkzMarkAngles[size=0.8](B,A,P Q,B,A Q,R,A)

\tkzLabelAngle[pos=1](B,A,P){$\theta$}

\tkzLabelAngle[pos=1](Q,B,A){$2\theta$}

\tkzLabelAngle[pos=1](Q,R,A){$3\theta$}

\tkzDrawPoints(P,Q,U,R,T,O,S,R')

\tkzLabelPoints[below](O,A,B,R')

\tkzLabelPoints[above right](P)

%\tkzLabelPoints[above left](U)

\tkzLabelPoints[above](Q,R)

%\node at (5.2,0.6) {\small $g(\theta)$};

\draw[dashed,very thin] (A) to[bend left=20] node[above,midway]{$\frac43$} (R);

\draw[dashed,very thin] (Q) to[bend left=20] node[above,midway]{$\frac43$} (R);

\draw[dashed,very thin] (R) to[bend left=20] node[above,midway]{$\frac23$} (B);

\draw[dashed,very thin] (R') to[bend right=20] node[right,midway]{$\frac43\theta$} (R);

\end{tikzpicture}

\begin{eqnarray*}