diff --git a/tikz/hyperbolic-triangle-interior-angles/Makefile b/tikz/hyperbolic-triangle-interior-angles/Makefile new file mode 100644 index 0000000..1bb0fb5 --- /dev/null +++ b/tikz/hyperbolic-triangle-interior-angles/Makefile @@ -0,0 +1,33 @@ +SOURCE = hyperbolic-triangle-interior-angles +DELAY = 80 +DENSITY = 300 +WIDTH = 512 + +make: + pdflatex $(SOURCE).tex -output-format=pdf + make clean + +clean: + rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot + +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 $(SOURCE).svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg + rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg + rm $(SOURCE)1.svg \ No newline at end of file diff --git a/tikz/hyperbolic-triangle-interior-angles/README.md b/tikz/hyperbolic-triangle-interior-angles/README.md new file mode 100644 index 0000000..a426475 --- /dev/null +++ b/tikz/hyperbolic-triangle-interior-angles/README.md @@ -0,0 +1,3 @@ +Compiled example +---------------- +![Example](hyperbolic-triangle-interior-angles.png) diff --git a/tikz/hyperbolic-triangle-interior-angles/hyperbolic-triangle-interior-angles.png b/tikz/hyperbolic-triangle-interior-angles/hyperbolic-triangle-interior-angles.png new file mode 100644 index 0000000..ba52bf1 Binary files /dev/null and b/tikz/hyperbolic-triangle-interior-angles/hyperbolic-triangle-interior-angles.png differ diff --git a/tikz/hyperbolic-triangle-interior-angles/hyperbolic-triangle-interior-angles.tex b/tikz/hyperbolic-triangle-interior-angles/hyperbolic-triangle-interior-angles.tex new file mode 100644 index 0000000..276f3a7 --- /dev/null +++ b/tikz/hyperbolic-triangle-interior-angles/hyperbolic-triangle-interior-angles.tex @@ -0,0 +1,62 @@ +\documentclass[varwidth=true, border=2pt]{standalone} + +\usepackage{tkz-euclide} +\usetkzobj{all} +% Thanks to Jan Hlavacek for giving an example for hyperbolic triangles +% (http://tex.stackexchange.com/a/16749/5645) + +% Thanks to Jonas Granholm for help with the angles +% (http://tex.stackexchange.com/a/204435/5645) + +\usepackage{helvet} +\usepackage[eulergreek]{sansmath} + +\begin{document} +\begin{tikzpicture}[scale=3,font=\sffamily\sansmath] + \tkzDefPoint(0,0){O} + \tkzDefPoint(1,0){Z} + + % Define points + \tkzDefPoint(-0.7,-0.1){A} + \tkzDefPoint(0.4,-0.3){B} + \tkzDefPoint(0.1,0.4){C} + + % Draw big circle + \tkzDrawCircle[fill=white](O,Z) + + % I have no idea what this does, + % but when I remove it the rest of the image (the big circles) + % get visible. So it seems to crop the image to the size of the circle + \tkzClipCircle(O,Z) + + % Draw angles + \tkzMarkAngles[fill= orange,size=0.3cm,opacity=.3](B,A,C) + \tkzLabelAngle[pos=0.2](B,A,C){$\alpha$} + + \tkzMarkAngles[fill= orange,size=0.3cm,opacity=.3](C,B,A) + \tkzLabelAngle[pos=0.2](C,B,A){$\beta$} + + \tkzMarkAngles[fill= orange,size=0.3cm,opacity=.3](A,C,B) + \tkzLabelAngle[pos=0.2](A,C,B){$\gamma$} + + + % "Clip" angles + \tkzDrawCircle[fill,orthogonal through=A and B,color=white](O,Z) + \tkzDrawCircle[fill,orthogonal through=A and C,color=white](O,Z) + \tkzDrawCircle[fill,orthogonal through=B and C,color=white](O,Z) + + % Draw big circle + \tkzDrawCircle(O,Z) + + % Draw lines + \tkzDrawCircle[orthogonal through=A and B,color=green](O,Z) + \tkzDrawCircle[orthogonal through=A and C,color=blue](O,Z) + \tkzDrawCircle[orthogonal through=B and C,color=red](O,Z) + + % Draw points and label them + \tkzDrawPoints[color=black,fill=red,size=5](A,B,C) + \tkzLabelPoints[below](A) + \tkzLabelPoints[below left](B) + \tkzLabelPoints[above left](C) +\end{tikzpicture} +\end{document} \ No newline at end of file