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tikz/triangle-perpendicular: added

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Martin Thoma 2015-01-08 19:09:27 +01:00
parent 6dab914be0
commit c777687f4f
4 changed files with 103 additions and 0 deletions

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SOURCE = triangle-perpendicular
DELAY = 80
DENSITY = 300
WIDTH = 500
make:
pdflatex $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE).svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

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Compiled example
----------------
![Example](triangle-perpendicular.png)

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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetikzlibrary{angles,quotes}
\usetkzobj{all}
\usetikzlibrary{shapes, calc, decorations}
\usepackage{amsmath,amssymb}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\begin{document}
\begin{preview}
\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
\tkzDefPoint(0,0){A}
\tkzDefPoint(6.4,0){B}
\tkzDefPoint(1.4,6){C}
\tkzLabelPoints[below left,font=\sansmath\sffamily](A)
\tkzLabelPoints[below right,font=\sansmath\sffamily](B)
\tkzLabelPoints[above,font=\sansmath\sffamily](C)
% Perpendiculars
\tkzDefLine[perpendicular=through A,/tikz/overlay](B,C)\tkzGetPoint{tmp}
\tkzInterLL(B,C)(A,tmp)\tkzGetPoint{ha}
\tkzLabelPoint[right,font=\sansmath\sffamily](ha){$h_a$}
\tkzDefLine[perpendicular=through B,/tikz/overlay](A,C)\tkzGetPoint{tmp}
\tkzInterLL(A,C)(B,tmp)\tkzGetPoint{hb}
\tkzLabelPoint[left,font=\sansmath\sffamily](hb){$h_b$}
\tkzDefLine[perpendicular=through C,/tikz/overlay](A,B)\tkzGetPoint{tmp}
\tkzInterLL(A,B)(C,tmp)\tkzGetPoint{hc}
\tkzLabelPoint[below,font=\sansmath\sffamily](hc){$h_c$}
\tkzInterLL(B,hb)(A,ha)\tkzGetPoint{H}
% Draw polygon
\tkzDrawPolygon[thick,fill=gray!10](A,B,C)
% Mark angles
% \tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](B,A,C)
% \tkzLabelAngle[pos=0.3](B,A,C){$\alpha$}
% \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](C,B,A)
% \tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
% \tkzMarkAngle[arc=l,size=0.6cm,fill=blue!30](A,C,B)
% \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
% Label lines
% \tkzLabelSegment[below](A,B){$c$}
% \tkzLabelSegment[left](A,C){$b$}
% \tkzLabelSegment[right](B,C){$a$}
% Draw polygon
\tkzDrawPolygon[fill=yellow](ha,hb,hc)
\tkzDrawSegments[dashed](A,ha B,hb C,hc)
\tkzDrawPolygon[thick](A,B,C)
\tkzDrawPoints[size=2,fill=black](ha,hb,hc,H)
\tkzLabelPoint[below right,font=\sansmath\sffamily](H){$H$}
\draw pic[semithick, draw, angle radius=3mm,"$\cdot$",angle eccentricity=.6]{angle= B--hc--C};
\draw pic[semithick, draw, angle radius=3mm,"$\cdot$",angle eccentricity=.6]{angle= B--hb--C};
\draw pic[semithick, draw, angle radius=3mm,"$\cdot$",angle eccentricity=.6]{angle= C--ha--A};
\end{tikzpicture}
\end{preview}
\end{document}