2
0
Fork 0
mirror of https://github.com/MartinThoma/LaTeX-examples.git synced 2025-04-19 11:38:05 +02:00

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

This commit is contained in:
Martin Thoma 2014-12-14 12:48:02 +01:00
parent 15f98223b2
commit 27f3331744
6 changed files with 117 additions and 20 deletions

View file

@ -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

View file

@ -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!

Binary file not shown.

After

Width:  |  Height:  |  Size: 30 KiB

View file

@ -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}

Binary file not shown.

Before

Width:  |  Height:  |  Size: 39 KiB

After

Width:  |  Height:  |  Size: 41 KiB

Before After
Before After

View file

@ -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)