• Beitrags-Autor:
• Beitrag zuletzt geändert am:09.05.2020
• Beitrags-Kategorie:Mathematik
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title:			 Mittelsenkrechten 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}
%Mittelsenkrechten
\pnode(4.0,1){ma1}\pnode(6.5,3.5){ma2}
\pnode(6.7,1){mb1}\pnode(2.5,3.5){mb2}
\pnode(5.0,5){mc1}\pnode(5.0,1.0){mc2}
\pcline[linecolor=sblinedark](ma1)(ma2)\Bput[1pt]{\textcolor{sblinedark}{$m_a$}}
\pcline[linecolor=sblinedark](mb1)(mb2)\Aput[1pt]{\textcolor{sblinedark}{$m_b$}}
\pcline[linecolor=sblinedark](mc1)(mc2)\Aput[1pt]{\textcolor{sblinedark}{$m_c$}}
\psarc[linecolor=sblinedark](ma2){0.5}{225}{315}
\psarc[linecolor=sblinedark](mb2){0.5}{238}{328}
\psarc[linecolor=sblinedark](mc2){0.5}{0}{90}
\uput{7pt}[270](ma2){\textcolor{sblinedark}{$\cdot$}}
\uput{7pt}[280](mb2){\textcolor{sblinedark}{$\cdot$}}
\uput{5pt}[40](mc2){\textcolor{sblinedark}{$\cdot$}}
%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}
}