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| author | mzuenni <mzuenni@users.noreply.github.com> | 2024-07-28 22:54:40 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2024-07-28 22:54:40 +0200 |
| commit | 8d11c6c8213f46f0fa19826917c255edd5d43cb1 (patch) | |
| tree | 96d75baff33d5a04b5a60f1a41f514a26c716874 /content/geometry/triangle.tex | |
| parent | 8c33b4e0d3030cfed17fc64b4fe41133339f6d87 (diff) | |
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 <noob999noob999@gmail.com>
Diffstat (limited to 'content/geometry/triangle.tex')
| -rw-r--r-- | content/geometry/triangle.tex | 41 |
1 files changed, 41 insertions, 0 deletions
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} |