• 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[90](C){C}
	\psarc(1,1){1}{0}{60}
	\psarc(9,1){1}{135}{180}
	\psarc(4,6){1}{240}{315}
	\uput{15pt}[30](A){$\alpha$}
	\uput{15pt}[162](B){$\beta$}
	\uput{15pt}[278](C){$\gamma$}
\end{pspicture}
}