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Version 4 |
| \PMlinkescapeword{property} |
\PMlinkescapeword{property} |
| \PMlinkescapeword{similar} |
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The \emph{medial triangle} of a triangle $\triangle ABC$ is the triangle formed by joining the midpoints of the sides of the triangle $\triangle ABC.$
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The \emph{medial triangle} of a triangle $ABC$ is the triangle formed by joining the midpoints of the sides of the triangle $\triangle ABC.$
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| \begin{center} |
\begin{center} |
| \includegraphics{med.eps} |
\includegraphics{med.eps} |
| \end{center} |
\end{center} |
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| Here, $\triangle A'B'C'$ is the medial triangle. |
Here, $\triangle A'B'C'$ is the medial triangle. |
| The incircle of the medial triangle is called the \emph{Spieker circle} and the incenter is called the \emph{Spieker center}. |
The incircle of the medial triangle is called the \emph{Spieker circle} and the incenter is called the \emph{Spieker center}. |
| The circumcircle of the medial triangle is called the \emph{medial circle}. |
The circumcircle of the medial triangle is called the \emph{medial circle}. |
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| An important property of the medial triangle is that the medial triangle $\triangle A'B'C'$ of the medial triangle $\triangle DEF$ of $\triangle ABC$ is similar to $\triangle ABC.$ |
An important property of the medial triangle is that the medial triangle $\triangle A'B'C'$ of the medial triangle $\triangle DEF$ of $\triangle ABC$ is similar to $\triangle ABC.$ |
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| \begin{center} |
\begin{center} |
| \includegraphics{med1.eps} |
\includegraphics{med1.eps} |
| \end{center} |
\end{center} |
