mirror of
https://github.com/MartinThoma/LaTeX-examples.git
synced 2025-04-19 11:38:05 +02:00
7740f0147f
The commands
find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+
and
find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+
were used to do so.
93 lines
3.7 KiB
TeX
93 lines
3.7 KiB
TeX
\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\usepackage{tikz}
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\usepackage{tkz-euclide}
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\usetkzobj{all}
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\usetikzlibrary{shapes, calc, decorations}
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\usepackage{amsmath,amssymb}
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\usepackage{helvet}
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\usepackage[eulergreek]{sansmath}
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\begin{document}
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\begin{preview}
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\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
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\tkzDefPoint(0,1){A}
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\tkzDefPoint(4,0){B}
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\tkzDefPoint(3,6){C}
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\tkzLabelPoints[below left,font=\sansmath\sffamily](A)
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\tkzLabelPoints[below right,font=\sansmath\sffamily](B)
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\tkzLabelPoints[above,font=\sansmath\sffamily](C)
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% Draw polygon
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\tkzDrawPolygon[thick,fill=gray!10](A,B,C)
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% Get mid points
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\tkzDefMidPoint(A,B) \tkzGetPoint{F}
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\tkzDefMidPoint(A,C) \tkzGetPoint{E}
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\tkzDefMidPoint(B,C) \tkzGetPoint{D}
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\tkzDefCircle[circum,/tikz/overlay](D,E,F)\tkzGetPoint{Icircle}\tkzGetLength{rIN}
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% Get 'Hoehe'
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\tkzInterLC[/tikz/overlay](B,C)(A,B)\tkzGetPoints{hah1}{hah2}
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\tkzDefMidPoint(hah1,hah2) \tkzGetPoint{G}
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\tkzInterLC[/tikz/overlay](A,B)(C,A)\tkzGetPoints{hch1}{hch2}
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\tkzDefMidPoint(hch1,hch2) \tkzGetPoint{H}
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\tkzInterLC[/tikz/overlay](A,C)(B,A)\tkzGetPoints{hbh1}{hbh2}
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\tkzDefMidPoint(hbh1,hbh2) \tkzGetPoint{I}
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% 'Hoehenschnittpunkt'
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\tkzInterLL(A,G)(C,H)\tkzGetPoint{S}
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% More points
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\tkzInterLC[/tikz/overlay,R](A,G)(Icircle,\rIN pt)\tkzGetPoints{G}{J}
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\tkzInterLC[/tikz/overlay,R](B,I)(Icircle,\rIN pt)\tkzGetPoints{L}{I}
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\tkzInterLC[/tikz/overlay,R](C,H)(Icircle,\rIN pt)\tkzGetPoints{H}{K}
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% Draw polygon
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\tkzDrawPolygon[thick](A,B,C)
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\tkzDefCircle[in,/tikz/overlay](A,B,C) \tkzGetPoint{Ocircle}\tkzGetLength{dOcircle}
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\tkzDrawCircle[R](Ocircle,\dOcircle pt)
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\tkzDefCircle[circum,/tikz/overlay](D,E,F)\tkzGetPoint{Icircle}\tkzGetLength{rIN}
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\tkzClipCircle[R](Icircle,5cm)
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% Get escribed circles
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% first one
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\tkzDefLine[bisector](B,A,C)\tkzGetPoint{alphaBisector}
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\tkzDefBarycentricPoint(A=1,B=-2)\tkzGetPoint{ABproj}
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\tkzDefLine[bisector](ABproj,B,C)\tkzGetPoint{betaOuterBisector}
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% \tkzDrawSegments[blue](A,alphaBisector B,betaOuterBisector)
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\tkzInterLL(A,alphaBisector)(B,betaOuterBisector) \tkzGetPoint{EscribedCircleCenter1}
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\tkzInterLC(A,alphaBisector)(Icircle,H)\tkzGetPoints{EscribedCircleRadius1a}{EscribedCircleRadius2b}
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\tkzDrawCircle[color=blue](EscribedCircleCenter1,EscribedCircleRadius1a)
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% second one
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\tkzDefLine[bisector](C,B,A)\tkzGetPoint{betaBisector}
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\tkzDefBarycentricPoint(B=1,A=-2)\tkzGetPoint{BAproj}
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\tkzDefLine[bisector](C,A,BAproj)\tkzGetPoint{alphaOuterBisector}
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% \tkzDrawSegments[blue](B,betaBisector A,alphaOuterBisector)
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\tkzInterLL(B,betaBisector)(A,alphaOuterBisector) \tkzGetPoint{EscribedCircleCenter2}
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\tkzInterLC(B,betaBisector)(Icircle,H)\tkzGetPoints{EscribedCircleRadius2a}{EscribedCircleRadius2b}
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\tkzDrawCircle[color=blue](EscribedCircleCenter2,EscribedCircleRadius2b)
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% third one
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\tkzDefLine[bisector](A,C,B)\tkzGetPoint{gammaBisector}
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\tkzDefBarycentricPoint(A=-2,C=1)\tkzGetPoint{ACproj}
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\tkzDefLine[bisector](ACproj,A,B)\tkzGetPoint{gammaOuterBisector}
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% \tkzDrawSegments[blue](C,gammaBisector A,gammaOuterBisector)
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\tkzInterLL(C,gammaBisector)(A,gammaOuterBisector) \tkzGetPoint{EscribedCircleCenter3}
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\tkzInterLC(C,gammaBisector)(Icircle,H)\tkzGetPoints{EscribedCircleRadius3a}{EscribedCircleRadius3b}
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\tkzDrawCircle[color=blue](EscribedCircleCenter3,EscribedCircleRadius3b)
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\tkzDrawPoints[size=2,fill=black](D,E,F,Ocircle)
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\tkzDrawPoints[size=2,fill=red,color=red](Icircle)
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\tkzDrawCircle[R,color=red,very thick](Icircle,\rIN pt)
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\end{tikzpicture}
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\end{preview}
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\end{document}
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