From 6ffe05846e11798ca1e414782af5106bce1f4cdb Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 21 Dec 2014 17:12:58 +0100 Subject: [PATCH] tikz: updated some triangle images --- ...le-9-point-circle-circumscribed-circle.png | Bin 30985 -> 31207 bytes ...le-9-point-circle-circumscribed-circle.tex | 8 +- .../Makefile | 31 ++++++ .../README.md | 3 + ...iangle-9-point-circle-escribed-circles.png | Bin 0 -> 24641 bytes ...iangle-9-point-circle-escribed-circles.tex | 93 ++++++++++++++++++ .../triangle-9-point-circle.png | Bin 41619 -> 41590 bytes .../triangle-9-point-circle.tex | 16 +-- .../triangle-inscribed-circle.png | Bin 25278 -> 28770 bytes .../triangle-inscribed-circle.tex | 4 +- 10 files changed, 142 insertions(+), 13 deletions(-) create mode 100644 tikz/triangle-9-point-circle-escribed-circles/Makefile create mode 100644 tikz/triangle-9-point-circle-escribed-circles/README.md create mode 100644 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+\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} diff --git a/tikz/triangle-9-point-circle/triangle-9-point-circle.png b/tikz/triangle-9-point-circle/triangle-9-point-circle.png index 181649cae3e85b3bdd92d12b3dc0199b09bfd097..1c675e076b9f8adf98d8536421224962d3295c94 100644 GIT binary patch literal 41590 zcmd4(cQ}^s|384=$cREBdsL(-QiQCevdJj2bB9F8x{YjwtfC_8rbNoj-ZGPM+j}e9 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diff --git a/tikz/triangle-9-point-circle/triangle-9-point-circle.tex b/tikz/triangle-9-point-circle/triangle-9-point-circle.tex index af6a6fd..b05a167 100644 --- a/tikz/triangle-9-point-circle/triangle-9-point-circle.tex +++ b/tikz/triangle-9-point-circle/triangle-9-point-circle.tex @@ -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 diff --git a/tikz/triangle-inscribed-circle/triangle-inscribed-circle.png b/tikz/triangle-inscribed-circle/triangle-inscribed-circle.png index 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