diff --git a/documents/GeoTopo/GeoTopo.pdf b/documents/GeoTopo/GeoTopo.pdf index f74c6e8..99f4830 100644 Binary files a/documents/GeoTopo/GeoTopo.pdf and b/documents/GeoTopo/GeoTopo.pdf differ diff --git a/documents/GeoTopo/definitions/definitionen.pdf b/documents/GeoTopo/definitions/definitionen.pdf index 812d645..1c342db 100644 Binary files a/documents/GeoTopo/definitions/definitionen.pdf and b/documents/GeoTopo/definitions/definitionen.pdf differ diff --git a/documents/GeoTopo/figures/geometry-8.tex b/documents/GeoTopo/figures/geometry-8.tex index 4f21998..2a38f3a 100644 --- a/documents/GeoTopo/figures/geometry-8.tex +++ b/documents/GeoTopo/figures/geometry-8.tex @@ -15,6 +15,9 @@ \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$} \tkzDrawSegments(A,B A,C A,A' B,C C,A') + \tkzInterLL(A,A')(B,C)\tkzGetPoint{M} + \node at ($(M) + (0.1,0.25)$) {$M$}; + \tkzLabelPoint[below left](A){$A$} \tkzLabelPoint[below right](B){$B$} \tkzLabelPoint[above left](C){$C$} @@ -23,6 +26,7 @@ \tkzMarkAngle[arc=l,size=0.6cm,color=green,fill=green!20,opacity=.8](B,A,C) \path[draw] ++(25:.35) node[rotate=0] {$\alpha$}; + \tkzDrawSegments(A,B A,C) - \tkzDrawPoints(A,B,C,A') + \tkzDrawPoints(A,B,C,A',M) \end{tikzpicture} \ No newline at end of file diff --git a/documents/GeoTopo/other-formats/GeoTopo-A5.pdf b/documents/GeoTopo/other-formats/GeoTopo-A5.pdf index 9464df9..dec828d 100644 Binary files a/documents/GeoTopo/other-formats/GeoTopo-A5.pdf and b/documents/GeoTopo/other-formats/GeoTopo-A5.pdf differ diff --git a/tikz/geometry-8/geometry-8.tex b/tikz/geometry-8/geometry-8.tex index 49d1fba..f57face 100644 --- a/tikz/geometry-8/geometry-8.tex +++ b/tikz/geometry-8/geometry-8.tex @@ -20,6 +20,9 @@ \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$} \tkzDrawSegments(A,B A,C A,A' B,C C,A') + \tkzInterLL(A,A')(B,C)\tkzGetPoint{M} + \node at ($(M) + (0.1,0.25)$) {$M$}; + \tkzLabelPoint[below left](A){$A$} \tkzLabelPoint[below right](B){$B$} \tkzLabelPoint[above left](C){$C$} @@ -28,7 +31,8 @@ \tkzMarkAngle[arc=l,size=0.6cm,color=green,fill=green!20,opacity=.8](B,A,C) \path[draw] ++(25:.35) node[rotate=0] {$\alpha$}; + \tkzDrawSegments(A,B A,C) - \tkzDrawPoints(A,B,C,A') + \tkzDrawPoints(A,B,C,A',M) \end{tikzpicture} \end{document}