I want to see how we can exactly construct the following diagram as simple as possible. It means that the manual calculation should be avoided.
Note that the angle marks attached to angles represent the measure of the angles are exactly equal.
Can you do it with either PSTricks, TikZ, Asymptote, Metapost, etc? I am more interested in compass-straight-edge method that we probably learnt at school.
MWE
The following is my MWE (just to show my effort).
\documentclass[pstricks,border=15pt]{standalone}
\usepackage{pst-eucl}
\begin{document}
\begin{pspicture}[showgrid=false](10,8)
\pstGeonode[PosAngle=-90](0,0){A}(6,0){B}
\pstInterCC[RadiusA=\pstDistVal{8},RadiusB=\pstDistVal{7}]{A}{}{B}{}{C}{D}
\pspolygon(A)(B)(C)
\pstMarkAngle{A}{C}{B}{}
\end{pspicture}
\end{document}
The remaining is left unknown.
Edit 1:
Thanks for answering. As I have other thing to do right now, I have not checked every single line of each new answer whether or not I understand it. Please be patient and probably I will switch the accepted answer to the best one.
Edit 2:
It will be much easier if you provide us with the code using beamer
to show the procedure step by step (one step per slide). What do you think? I think TikZ users have no problem with it as beamer
and tikz
are tightly coupled.
Best Answer
Edit: More accurate
Arc
instead ofarc
:Compass-straight-edge (no
atan
-s) imitated withAsymptote
:Edit2:
A more detailed version, now just the two ancient instruments and a sheet of paper.
Edit-3
Great thanks to @Andrew Stacey for pointing out in a comment that it is not allowed to transfer lengths from one place to another. This update fixes this by constructing additional points.