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Revision difference : opposite |
| Version current |
Version 9 |
| Given a right triangle with an acute angle $\theta$, the side of the triangle that is {\sl opposite} of $\theta$ is the side of the triangle that is not a \PMlinkname{side}{Angle} of $\theta$. |
Given a right triangle with an acute angle $\theta$, the side of the triangle that is {\sl opposite} of $\theta$ is the side of the triangle that is not a \PMlinkname{side}{Angle} of $\theta$. |
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| \begin{center} |
\begin{center} |
| \begin{pspicture}(0,-2)(8,4) |
\begin{pspicture}(0,-2)(8,4) |
| \pspolygon(0,0)(4,4)(4,0) |
\pspolygon(0,0)(4,4)(4,0) |
| \rput[l](4.1,2.1){opposite} |
\rput[l](4.1,2.1){opposite} |
| \psline(3.8,0)(3.8,0.2) |
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| \psline(3.8,0.2)(4,0.2) |
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| \psarc(0,0){0.3}{0}{45} |
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| \rput[b](0.5,0.15){$\theta$} |
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| \rput[l](0,0){.} |
\rput[l](0,0){.} |
| \rput[a](4,0){.} |
\rput[a](4,0){.} |
| \rput[b](4,4){.} |
\rput[b](4,4){.} |
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\psarc(0,0){0.3}{0}{45} |
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\rput[b](0.5,0.15){$\theta$} |
| \end{pspicture} |
\end{pspicture} |
| \end{center} |
\end{center} |
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| This definition can be generalized to any triangle and any angle $\theta$: The side of the triangle that is \emph{opposite} of $\theta$ is the side of the triangle that is not a side of $\theta$. This more general definition is not used as commonly as the definition for right triangles. |
This definition can be generalized to any triangle and any angle $\theta$: The side of the triangle that is \emph{opposite} of $\theta$ is the side of the triangle that is not a side of $\theta$. This more general definition is not used as commonly as the definition for right triangles. |
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