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tikz/triangle-9-point-circle: improved images

Martin Thoma 10 anni fa
parent
commit
27f3331744

+ 31 - 0
tikz/triangle-9-point-circle-circumscribed-circle/Makefile

@@ -0,0 +1,31 @@
+SOURCE = triangle-9-point-circle-circumscribed-circle
+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

+ 7 - 0
tikz/triangle-9-point-circle-circumscribed-circle/README.md

@@ -0,0 +1,7 @@
+Compiled example
+----------------
+![Example](triangle-9-point-circle-circumscribed-circle.png)
+
+
+Thanks to [AboAmmar](http://tex.stackexchange.com/users/59109/aboammar) (see [tex.SE answer](http://tex.stackexchange.com/a/217818/5645))
+for his help!

BIN
tikz/triangle-9-point-circle-circumscribed-circle/triangle-9-point-circle-circumscribed-circle.png


+ 73 - 0
tikz/triangle-9-point-circle-circumscribed-circle/triangle-9-point-circle-circumscribed-circle.tex

@@ -0,0 +1,73 @@
+\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}
+    \tkzDrawCircle[R](Icircle,\rIN pt)
+
+    % 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[circum,/tikz/overlay](A,B,C) \tkzGetPoint{Ocircle}
+    \tkzDrawCircle(Ocircle,A)
+    \tkzCalcLength(Ocircle,A) \tkzGetLength{dOcircle}
+
+    % TODO: define shiftedOcircOrigin which is
+    % Ocircle, but shifted by dOcircle (x-axis)
+    \tkzDefShiftPoint[Ocircle](\dOcircle pt,0){C'}
+    \tkzDrawSegments[dashed](Ocircle,C')
+    \tkzLabelSegment[below](Ocircle,C'){$r_1$} 
+
+    % TODO: define shiftedIcircOrigin which is
+    % Icircle, but shifted by rIN (x-axis)
+    \tkzDefShiftPoint[Icircle](\rIN pt,0){C''} 
+    \tkzDrawSegments[dashed](Icircle,C'')
+    \tkzLabelSegment[below](Icircle,C''){$r_2$} 
+
+    \tkzDrawPoints[size=2,fill=black](D,E,F,Icircle,Ocircle)
+\end{tikzpicture}
+\end{preview}
+\end{document}

BIN
tikz/triangle-9-point-circle/triangle-9-point-circle.png


+ 6 - 20
tikz/triangle-9-point-circle/triangle-9-point-circle.tex

@@ -23,21 +23,6 @@
     % 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){$a$}
-
     % Get mid points
     \tkzDefMidPoint(A,B) \tkzGetPoint{F}
     \tkzDefMidPoint(A,C) \tkzGetPoint{E}
@@ -47,7 +32,7 @@
     \tkzLabelPoints[below,font=\sansmath\sffamily](F)
 
     \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}
@@ -78,11 +63,12 @@
 
     % Draw rest
     \tkzDrawSegments[dashed](A,G C,H B,I)
-    \tkzDrawSegments[red,very thick](A,J J,S)
-    \tkzDrawSegments[green,very thick](C,K K,S)
-    \tkzDrawSegments[blue,very thick](B,L L,S)
+    \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 
 
-    \tkzDrawPoints[size=2,fill=black](D,E,F,I,G,H,S,J,L,K,Icircle)
+    \tkzDrawPoints[size=2,fill=black](D,E,F,I,G,H,S,J,L,K)
+    \tkzDrawPoints[size=2,fill=red,color=red](Icircle)
 
     % Draw polygon
     \tkzDrawPolygon[thick](A,B,C)