From d6c61d988bfa4255baf9cdae42db59ebee38363f Mon Sep 17 00:00:00 2001
From: Sebastiano Tronto <sebastiano.tronto@gmail.com>
Date: Tue, 25 May 2021 17:10:49 +0200
Subject: Added files

---
 src/Lecture3/live/tikz.tex | 84 ++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 84 insertions(+)
 create mode 100644 src/Lecture3/live/tikz.tex

(limited to 'src/Lecture3/live/tikz.tex')

diff --git a/src/Lecture3/live/tikz.tex b/src/Lecture3/live/tikz.tex
new file mode 100644
index 0000000..65dbd5d
--- /dev/null
+++ b/src/Lecture3/live/tikz.tex
@@ -0,0 +1,84 @@
+\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
-- 
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