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tikz: updated some triangle images

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Martin Thoma 2014-12-21 17:12:58 +01:00
parent e041403672
commit 6ffe05846e
10 changed files with 142 additions and 13 deletions
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tikz/triangle-9-point-circle-circumscribed-circle/triangle-9-point-circle-circumscribed-circle.png
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8
tikz/triangle-9-point-circle-circumscribed-circle/triangle-9-point-circle-circumscribed-circle.tex
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@ -29,7 +29,7 @@
\tkzDefMidPoint(B,C) \tkzGetPoint{D}
\tkzDefCircle[circum,/tikz/overlay](D,E,F)\tkzGetPoint{Icircle}\tkzGetLength{rIN}
\tkzDrawCircle[R](Icircle,\rIN pt)
\tkzDrawCircle[R,color=red, very thick](Icircle,\rIN pt)
% Get 'Hoehe'
\tkzInterLC[/tikz/overlay](B,C)(A,B)\tkzGetPoints{hah1}{hah2}
@ -52,7 +52,7 @@
% Draw polygon
\tkzDrawPolygon[thick](A,B,C)
\tkzDefCircle[circum,/tikz/overlay](A,B,C) \tkzGetPoint{Ocircle}
\tkzDrawCircle(Ocircle,A)
\tkzDrawCircle[color=blue](Ocircle,A)
\tkzCalcLength(Ocircle,A) \tkzGetLength{dOcircle}
% TODO: define shiftedOcircOrigin which is
@ -67,7 +67,9 @@
\tkzDrawSegments[dashed](Icircle,C'')
\tkzLabelSegment[below](Icircle,C''){$r_2$}
\tkzDrawPoints[size=2,fill=black](D,E,F,Icircle,Ocircle)
\tkzDrawPoints[size=2,fill=black](D,E,F)
\tkzDrawPoints[size=2,fill=blue,color=blue](Ocircle)
\tkzDrawPoints[size=2,fill=red,color=red](Icircle)
\end{tikzpicture}
\end{preview}
\end{document}

31
tikz/triangle-9-point-circle-escribed-circles/Makefile Normal file
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@ -0,0 +1,31 @@
SOURCE = triangle-9-point-circle-escribed-circles
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

3
tikz/triangle-9-point-circle-escribed-circles/README.md Normal file
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@ -0,0 +1,3 @@
Compiled example
----------------
![Example](triangle-9-point-circle-escribed-circles.png)

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tikz/triangle-9-point-circle-escribed-circles/triangle-9-point-circle-escribed-circles.png Normal file
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93
tikz/triangle-9-point-circle-escribed-circles/triangle-9-point-circle-escribed-circles.tex Normal file
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@ -0,0 +1,93 @@
\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-euclide}
\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(0,1){A}
\tkzDefPoint(4,0){B}
\tkzDefPoint(3,6){C}
\tkzLabelPoints[below left,font=\sansmath\sffamily](A)
\tkzLabelPoints[below right,font=\sansmath\sffamily](B)
\tkzLabelPoints[above,font=\sansmath\sffamily](C)
% Draw polygon
\tkzDrawPolygon[thick,fill=gray!10](A,B,C)
% Get mid points
\tkzDefMidPoint(A,B) \tkzGetPoint{F}
\tkzDefMidPoint(A,C) \tkzGetPoint{E}
\tkzDefMidPoint(B,C) \tkzGetPoint{D}
\tkzDefCircle[circum,/tikz/overlay](D,E,F)\tkzGetPoint{Icircle}\tkzGetLength{rIN}
% Get 'Hoehe'
\tkzInterLC[/tikz/overlay](B,C)(A,B)\tkzGetPoints{hah1}{hah2}
\tkzDefMidPoint(hah1,hah2) \tkzGetPoint{G}
\tkzInterLC[/tikz/overlay](A,B)(C,A)\tkzGetPoints{hch1}{hch2}
\tkzDefMidPoint(hch1,hch2) \tkzGetPoint{H}
\tkzInterLC[/tikz/overlay](A,C)(B,A)\tkzGetPoints{hbh1}{hbh2}
\tkzDefMidPoint(hbh1,hbh2) \tkzGetPoint{I}
% 'Hoehenschnittpunkt'
\tkzInterLL(A,G)(C,H)\tkzGetPoint{S}
% More points
\tkzInterLC[/tikz/overlay,R](A,G)(Icircle,\rIN pt)\tkzGetPoints{G}{J}
\tkzInterLC[/tikz/overlay,R](B,I)(Icircle,\rIN pt)\tkzGetPoints{L}{I}
\tkzInterLC[/tikz/overlay,R](C,H)(Icircle,\rIN pt)\tkzGetPoints{H}{K}
% Draw polygon
\tkzDrawPolygon[thick](A,B,C)
\tkzDefCircle[in,/tikz/overlay](A,B,C) \tkzGetPoint{Ocircle}\tkzGetLength{dOcircle}
\tkzDrawCircle[R](Ocircle,\dOcircle pt)
\tkzDefCircle[circum,/tikz/overlay](D,E,F)\tkzGetPoint{Icircle}\tkzGetLength{rIN}
\tkzClipCircle[R](Icircle,5cm)
% Get escribed circles
% first one
\tkzDefLine[bisector](B,A,C)\tkzGetPoint{alphaBisector}
\tkzDefBarycentricPoint(A=1,B=-2)\tkzGetPoint{ABproj}
\tkzDefLine[bisector](ABproj,B,C)\tkzGetPoint{betaOuterBisector}
% \tkzDrawSegments[blue](A,alphaBisector B,betaOuterBisector)
\tkzInterLL(A,alphaBisector)(B,betaOuterBisector) \tkzGetPoint{EscribedCircleCenter1}
\tkzInterLC(A,alphaBisector)(Icircle,H)\tkzGetPoints{EscribedCircleRadius1a}{EscribedCircleRadius2b}
\tkzDrawCircle[color=blue](EscribedCircleCenter1,EscribedCircleRadius1a)
% second one
\tkzDefLine[bisector](C,B,A)\tkzGetPoint{betaBisector}
\tkzDefBarycentricPoint(B=1,A=-2)\tkzGetPoint{BAproj}
\tkzDefLine[bisector](C,A,BAproj)\tkzGetPoint{alphaOuterBisector}
% \tkzDrawSegments[blue](B,betaBisector A,alphaOuterBisector)
\tkzInterLL(B,betaBisector)(A,alphaOuterBisector) \tkzGetPoint{EscribedCircleCenter2}
\tkzInterLC(B,betaBisector)(Icircle,H)\tkzGetPoints{EscribedCircleRadius2a}{EscribedCircleRadius2b}
\tkzDrawCircle[color=blue](EscribedCircleCenter2,EscribedCircleRadius2b)
% third one
\tkzDefLine[bisector](A,C,B)\tkzGetPoint{gammaBisector}
\tkzDefBarycentricPoint(A=-2,C=1)\tkzGetPoint{ACproj}
\tkzDefLine[bisector](ACproj,A,B)\tkzGetPoint{gammaOuterBisector}
% \tkzDrawSegments[blue](C,gammaBisector A,gammaOuterBisector)
\tkzInterLL(C,gammaBisector)(A,gammaOuterBisector) \tkzGetPoint{EscribedCircleCenter3}
\tkzInterLC(C,gammaBisector)(Icircle,H)\tkzGetPoints{EscribedCircleRadius3a}{EscribedCircleRadius3b}
\tkzDrawCircle[color=blue](EscribedCircleCenter3,EscribedCircleRadius3b)
\tkzDrawPoints[size=2,fill=black](D,E,F,Ocircle)
\tkzDrawPoints[size=2,fill=red,color=red](Icircle)
\tkzDrawCircle[R,color=red,very thick](Icircle,\rIN pt)
\end{tikzpicture}
\end{preview}
\end{document}

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tikz/triangle-9-point-circle/triangle-9-point-circle.png
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16
tikz/triangle-9-point-circle/triangle-9-point-circle.tex
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@ -40,29 +40,29 @@
\tkzLabelPoints[right,font=\sansmath\sffamily](G)
\tkzInterLC[/tikz/overlay](A,B)(C,A)\tkzGetPoints{hch1}{hch2}
\tkzDefMidPoint(hch1,hch2) \tkzGetPoint{H}
\tkzLabelPoints[below,font=\sansmath\sffamily](H)
\tkzDefMidPoint(hch1,hch2) \tkzGetPoint{I}
\tkzLabelPoints[below,font=\sansmath\sffamily](I)
\tkzInterLC[/tikz/overlay](A,C)(B,A)\tkzGetPoints{hbh1}{hbh2}
\tkzDefMidPoint(hbh1,hbh2) \tkzGetPoint{I}
\tkzLabelPoints[left,font=\sansmath\sffamily](I)
\tkzDefMidPoint(hbh1,hbh2) \tkzGetPoint{H}
\tkzLabelPoints[left,font=\sansmath\sffamily](H)
% 'Hoehenschnittpunkt'
\tkzInterLL(A,G)(C,H)\tkzGetPoint{S}
\tkzInterLL(A,G)(C,I)\tkzGetPoint{S}
\tkzLabelPoints[above right,font=\sansmath\sffamily](S)
% More points
\tkzInterLC[/tikz/overlay,R](A,G)(Icircle,\rIN pt)\tkzGetPoints{G}{J}
\tkzLabelPoints[above,font=\sansmath\sffamily](J)
\tkzInterLC[/tikz/overlay,R](B,I)(Icircle,\rIN pt)\tkzGetPoints{L}{I}
\tkzInterLC[/tikz/overlay,R](B,H)(Icircle,\rIN pt)\tkzGetPoints{L}{H}
\tkzLabelPoints[above,font=\sansmath\sffamily](L)
\tkzInterLC[/tikz/overlay,R](C,H)(Icircle,\rIN pt)\tkzGetPoints{H}{K}
\tkzInterLC[/tikz/overlay,R](C,I)(Icircle,\rIN pt)\tkzGetPoints{I}{K}
\tkzLabelPoints[above left,font=\sansmath\sffamily](K)
% Draw rest
\tkzDrawSegments[dashed](A,G C,H B,I)
\tkzDrawSegments[dashed](A,G C,I B,H)
\tkzDrawSegments[thick](A,J J,S) % red,very thick
\tkzDrawSegments[thick](C,K K,S) % green,very
\tkzDrawSegments[thick](B,L L,S) % blue,very

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tikz/triangle-inscribed-circle/triangle-inscribed-circle.png
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4
tikz/triangle-inscribed-circle/triangle-inscribed-circle.tex
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@ -14,7 +14,7 @@
\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
\tkzDefPoint(0,0){A}
\tkzDefPoint(5.0,0){B}
\tkzDefPoint(4.0,3){C}
\tkzDefPoint(3.5,3){C}
\tkzLabelPoints[below left,font=\sansmath\sffamily](A)
\tkzLabelPoints[below right,font=\sansmath\sffamily](B)
@ -67,7 +67,7 @@
\tkzDrawSegments(I,ABq I,BCq I,CAq)
\tkzLabelSegment[right](I,ABq){r}
\tkzLabelSegment[above](I,BCq){r}
\tkzLabelSegment[left](I,CAq){r}
\tkzLabelSegment[above](I,CAq){r}
% Draw polygon
\tkzDrawPolygon[thick](A,B,C)