• Beitrags-Autor:
  • Beitrag zuletzt geändert am:09.05.2020
  • Beitrags-Kategorie:Mathematik
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title:			 Seitenhalbierende 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}
	%Seitenhalbierende
	\pnode(6.5,3.5){sa}
	\pnode(2.5,3.5){sb}
	\pnode(5.0,1.0){sc}
	\pcline[linecolor=sblinedark](A)(sa)\aput[1pt]{:U}{\textcolor{sblinedark}{$s_a$}}
	\pcline[linecolor=sblinedark](B)(sb)\aput[1pt]{:D}{\textcolor{sblinedark}{$s_b$}}
	\pcline[linecolor=sblinedark](C)(sc)\Aput[1pt]{\textcolor{sblinedark}{$s_c$}}
	%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}
}