1 files changed, 84 insertions, 0 deletions

diff --git a/src/Lecture3/live/tikz.tex b/src/Lecture3/live/tikz.tex
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+\documentclass[10pt,a4paper]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
+
+\usepackage{tikz}
+\usepackage{tikz-cd}
+
+\begin{document}
+
+\begin{tikzcd}
+T \arrow[dr,dotted,"{(x,y)}" description]
+  \arrow[drr,"x",out=60, in=120]
+  \arrow[ddr,"y"',bend right]\\
+& X\times_Z Y \arrow[r,"p"]\arrow[d,"q"'] & X \arrow[d,"f"]\\
+& Y \arrow[r,"g"',hook,two heads]           & Z
+\end{tikzcd}
+
+
+\newpage
+
+
+\begin{tikzpicture}[scale=2]
+
+        \foreach \x in {0,1,...,5} {
+                \foreach \y in {0,...,3} {
+                        \filldraw[fill=blue] (\x,\y) circle[radius=0.4];
+                };
+        };
+\end{tikzpicture}
+
+\begin{tikzpicture}[scale=3]
+        \draw[very thick] (0,0) \foreach \i in {0.3,0.6,...,1.5}
+          {-- (\i,\i^2) };
+\end{tikzpicture}
+
+
+\newpage
+
+\begin{tikzpicture}
+
+        \pgfmathsetmacro{\angle}{120}
+        
+        \colorlet{coscolor}{blue!60}
+        \colorlet{sincolor}{red!60}
+        \tikzset{structureline/.style={black,thin}}
+        
+        \draw[lightgray] (-5,-5) grid (5,5);
+        
+        
+        \filldraw[thick,fill=green!20,draw=green] 
+(0,0) -- (1/3*4,0) arc[radius=1/3*4, start angle=0, end angle=\angle] node[below=0.5cm] {\(\angle^\circ\)} -- cycle;
+
+        \draw[->,structureline] (0,-5) -- (0,5);
+        \draw[->,structureline] (-5,0) -- (5,0);
+        \draw[structureline] (0,0) circle[radius=4];
+        
+        \draw[structureline] (0,0) -- (\angle:4);
+        \draw[coscolor] (0,0) -- node[below] {\(\cos(\angle^\circ)\)} (4*cos{\angle},0);
+        \draw[thick,sincolor] (4*cos{\angle},0) -- node[right] {\(\sin(\angle^\circ)\)} (\angle:4);
+        
+\end{tikzpicture}
+
+\newpage
+\begin{tikzpicture}[scale=3]
+        \coordinate (A) at (1,1);
+        \coordinate (B) at (3,1.5);
+        
+        \draw[blue!20!red,line width=4pt] (0,0) -- (A) -- (2,0) -- cycle;
+
+        
+        \draw[very thick,green!60,dotted] (B) circle[x radius = 0.7cm, y radius = 1.2cm];
+        
+        \filldraw[fill=purple,draw=blue,line width=2pt] (B) arc[radius = 1cm, start angle=0, end angle=90] -- (A) --cycle;
+        
+        \filldraw[fill=pink, line width=3pt] (0,0) rectangle (2,-1);
+        
+        \draw[line width=2pt,>->] (1,0.5) -- (3,0);
+
+\end{tikzpicture}
+
+\end{document}
\ No newline at end of file