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Theorem 49
If $\angle DAC=\angle B$, then $DA$ is the tangent line of the circumcircle of $\triangle ABC$. \begin{proof}Make tangent $AD'$ of the circumcircle of $\triangle ABC$ at $A$, then we have $D'AC=\angle B$, so $AD$ and $AD'$ must be the same line.\end{proof}
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proof
Make tangent $AD'$ of the circumcircle of $\triangle ABC$ at $A$, then we have $D'AC=\angle B$, so $AD$ and $AD'$ must be the same line.
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