From 8d11c6c8213f46f0fa19826917c255edd5d43cb1 Mon Sep 17 00:00:00 2001 From: mzuenni Date: Sun, 28 Jul 2024 22:54:40 +0200 Subject: Test (#4) * update * moved content in subdir * rename file * add test setup * add test setup * add github action * automaticly test all cpp files * timeout after 10s * setulimit and dont zero memory * test build pdf * install latexmk * update * update * ngerman * fonts * removed old code * add first test * added tests * test in sorted order * more tests * simplified test * more tests * fix suffix tree * fixes and improvements * done ust lst directly * fix swap * add links to pdf * fix constants * add primorial * add comment * various improvements * more tests * added missing stuf * more tests * fix tests * more tests * more tests * more tests * fix recursion? * test trie * more tests * only use python temporarily for listings * only use python temporarily for listings * more tests * fix longestCommonSubstring * more tests * more tests * made code more similiar * fix? * more tests * more tests * more tests * add ahoCorasick test + limit 4GB stack size * more tests * fix test * add additional test * more tests * more tests * fix? * better fix * fix virtual tree * more tests * more tests * recursive closest pair * more tests * decrease limit * new tests * more tests * fix name * more tests * add test * new test * more tests * more tests * more tests * more tests * new test and content * new code * new code * larger tests * fix and test * new test * new test * update pdf * remove comments * new test * more tests * more testcases * more tests * increased limit * more tests * more tests * more tests * new tests * more tests * shortened code * new test * add basic tests for bigint * more tests * removed old files * new test * ignore some files * more auto more ccw * fix test * more tests * fix * new tests * more tests * more tests * stronger test * actually verify delaunay... * more tests * fix header * more tests * run tests parallel? * test parralel? * add --missing * separate workflows * test * is the pdf checked? * separate workflows * fix workflow * more workflows --------- Co-authored-by: Yidi --- content/geometry/triangle.tex | 41 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 content/geometry/triangle.tex (limited to 'content/geometry/triangle.tex') diff --git a/content/geometry/triangle.tex b/content/geometry/triangle.tex new file mode 100644 index 0000000..3decd54 --- /dev/null +++ b/content/geometry/triangle.tex @@ -0,0 +1,41 @@ + +\begin{minipage}[T]{0.27\linewidth} + Generell: + \begin{itemize} + \item $\cos(\gamma)=\frac{a^2+b^2-c^2}{2ab}$ + \item $b=\frac{a}{\sin(\alpha)}\sin(\beta)$ + %\item $b=\frac{a}{\sin(\pi-\beta-\gamma)}\sin(\beta)$ + %\item $\sin(\beta)=\frac{b\sin(\alpha)}{a}$ %asin is not uniquely invertible + \item $\Delta=\frac{bc}{2}\sin(\alpha)$ + \end{itemize} +\end{minipage} +\hfill +\begin{minipage}[B]{0.5\linewidth} + \centering + \begin{tikzpicture}[line cap=round,minimum size=0,x=.7cm,y=0.7cm] + \node[circle,inner sep=0] (AA) at (0,0) {$A$}; + \node[circle,inner sep=0] (BB) at (3,-1) {$B$}; + \node[circle,inner sep=0] (CC) at (3.666667,1) {$C$}; + + \coordinate (A) at (AA.0); + \coordinate (B) at (BB.100); + \coordinate (C) at (CC.210); + + \pic[draw,angle radius=15,pic text=$\gamma$]{angle = A--C--B}; + \pic[draw,angle radius=15,pic text=$\beta$]{angle = C--B--A}; + \pic[draw,angle radius=20,pic text=$\alpha$]{angle = B--A--C}; + + \draw (A) to[edge label={$b$},inner sep=1] (C); + \draw (A) to[edge label'={$c$},inner sep=1.3] (B); + \draw (B) to[edge label'={$a$},inner sep=0.6] (C); + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}[T]{0.16\linewidth} + $\beta=90^\circ$: + \begin{itemize} + \item $\sin(\alpha)=\frac{a}{b}$ + \item $\cos(\alpha)=\frac{c}{b}$ + \item $\tan(\alpha)=\frac{a}{c}$ + \end{itemize} +\end{minipage} -- cgit v1.2.3