• Beitrags-Autor:
• Beitrag zuletzt geändert am:09.05.2020
• Beitrags-Kategorie:Mathematik
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title:			 Winkelhalbierende im Dreieck
% Author:      Tobias Krähling
% Needs:       pstricks, pst-node
% DesignScale: unit=10mm
% Size:			   8.4 x 6.0
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\sbPSTDefault\sffamily
\begin{pspicture}(0.8,0.5)(9.2,6.5)
\pnode(1,1){A}
\pnode(9,1){B}
\pnode(4,6){C}
%Winkelhalbierende
\pnode(6.0,4.0){wa}
\pnode(2.7,3.8){wb}
\pnode(4.7,1.0){wc}
\pcline[linecolor=sblinedark
](A)(wa)\aput[1pt]{:U}{\textcolor{sblinedark}{$w_\alpha$}}
\pcline[linecolor=sblinedark
](B)(wb)\aput[1pt]{:D}{\textcolor{sblinedark}{$w_\beta$}}
\pcline[linecolor=sblinedark
](C)(wc)\Aput[1pt]{\textcolor{sblinedark}{$w_\gamma$}}
%Dreieck
\pcline[linewidth=1pt](A)(B)\bput{:U}{c}
\pcline[linewidth=1pt](A)(C)\aput{:U}{b}
\pcline[linewidth=1pt](C)(B)\aput{:U}{a}
\uput[-90](A){A}
\uput[-90](B){B}
\uput(C){C}
\psarc(1,1){1}{0}{60}
\psarc(9,1){1}{135}{180}
\psarc(4,6){1}{240}{315}
\uput{15pt}(A){$\alpha$}
\uput{15pt}(B){$\beta$}
\uput{15pt}(C){$\gamma$}
\end{pspicture}
}