my labels of angles on these circles are not very visible. Could someone tell me how to label them properly so that angles
\alpha
, \beta
are nicely put in picture.Thx
Code: Select all
\documentclass[a4paper,12pt,times]{amsart}
\usepackage[T1]{fontenc}
\usepackage[cp1250]{inputenc}
\usepackage[croatian]{babel}
\usepackage{graphicx}
\usepackage{amssymb,mathtools,amsmath,amsfonts,amsthm}
\usepackage[sc]{mathpazo}
\linespread{1.6}
\usepackage{microtype}
\usepackage{tikz}
\fontseries{b}
\fontsize{19}{18}
\usepackage{fancyhdr}
\pagestyle{fancyplain}
\fancyhead{}
\fancyfoot[L]{}
\fancyfoot[C]{}
\fancyfoot[R]{\thepage}
\renewcommand{\headrulewidth}{0pt}
\renewcommand{\footrulewidth}{0pt}
\setlength{\headheight}{13.6pt}
\usepackage{tikz,tkz-euclide}
\usetikzlibrary{calc}
\usetkzobj{all}
\pgfmathsetseed{\pdfuniformdeviate 10000000}
%%%<
\usepackage{verbatim}
\setlength\parindent{0pt}
\newcommand{\ds}{\displaystyle}
\newcommand{\mA}{{\mathbb A}}
\newcommand{\mB}{{\mathbb B}}
\newcommand{\mD}{{\mathbb D}}
\newcommand{\mN}{{\mathbb N}}
\newcommand{\mQ}{{\mathbb Q}}
\newcommand{\mP}{{\mathbb P}}
\newcommand{\mR}{{\mathbb R}}
\newcommand{\mS}{{\mathbb S}}
\newcommand{\mZ}{{\mathbb Z}}
\newcommand{\cA}{{\mathcal A}}
\newcommand{\cB}{{\mathcal B}}
\newcommand{\cC}{{\mathcal C}}
\newcommand{\cE}{{\mathcal E}}
\newcommand{\cG}{{\mathcal G}}
\newcommand{\cI}{{\mathcal I}}
\newcommand{\cO}{{\mathcal O}}
\newcommand{\cP}{{\mathcal P}}
\newcommand{\cT}{{\mathcal T}}
\newcommand{\cU}{{\mathcal U}}
\title{MAT\\ CIRCLE\\
2013.}
\begin{document}
\parskip=1pt
\medskip
\maketitle
{\bf 1.}
\begin{tikzpicture}
\coordinate (S) at (3,3);
\coordinate (C) at ($(S) +(90:2)$);
\coordinate (A) at ($(S) +(230:2)$);
\coordinate (B) at ($(S) +(310:2)$);
\draw[black]
let \p1 = ($(A)-(S)$),
\n0 = {veclen(\x1,\y1)}
in (S) circle(\n0);
\draw (S) -- (A) node[below] {};
\draw (S) -- (B) node[below] {};
\draw (A) -- (C) node[below] {};
\draw (B) -- (C) node[below] {};
\begin{scope}
\path[clip] (A) -- (C) -- (B);
\fill[purple, opacity=0.1, draw=black] (C) circle (5mm);
\node[below] at ($(C)+(50:0mm)$) {$\alpha$};
\end{scope}
\begin{scope}
\path[clip] (A) -- (S) -- (B);
\fill[purple, opacity=0.1, draw=black] (S) circle (5mm);
\node[below] at ($(S)+(350:0mm)$) {$60^{o}$};
\end{scope}
\foreach \dot in {A,B,C,S} {
\fill (\dot) circle(2pt);
\node[above] at (\dot) {\dot};
}
\end{tikzpicture}
\begin{tikzpicture}
\coordinate (S) at (3,3);
\coordinate (A) at ($(S) +(80:2)$);
\coordinate (B) at ($(S) +(190:2)$);
\coordinate (C) at ($(S) +(3:2)$);
\draw[black]
let \p1 = ($(B)-(S)$),
\n0 = {veclen(\x1,\y1)}
in (S) circle(\n0);
\draw (S) -- (A) node[below] {};
\draw (S) -- (B) node[below] {};
\draw (A) -- (C) node[below] {};
\draw (B) -- (C) node[below] {};
\begin{scope}
\path[clip] (A) -- (C) -- (B);
\fill[purple, opacity=0.1, draw=black] (C) circle (5mm);
\node[left] at ($(C)+(140:5mm)$) {$30^{o}$};
\end{scope}
\begin{scope}
\path[clip] (A) -- (S) -- (B);
\fill[purple, opacity=0.1, draw=black] (S) circle (5mm);
\node[above,left] at ($(S)+(110:5mm)$) {$\beta$};
\end{scope}
\foreach \dot in {A,B,C,S} {
\fill (\dot) circle(2pt);
\node[above] at (\dot) {\dot};
}
\end{tikzpicture}
\begin{tikzpicture}
\coordinate (S) at (3,3);
\coordinate (A) at ($(S) +(80:2)$);
\coordinate (B) at ($(S) +(190:2)$);
\coordinate (C) at ($(S) +(3:2)$);
\coordinate (D) at ($(S) +(290:2)$);
\draw[black]
let \p1 = ($(B)-(S)$),
\n0 = {veclen(\x1,\y1)}
in (S) circle(\n0);
\draw (A) -- (C) node[below] {};
\draw (B) -- (C) node[below] {};
\draw (B) -- (D) node[below] {};
\draw (A) -- (D) node[below] {};
\begin{scope}
\path[clip] (A) -- (C) -- (B);
\fill[purple, opacity=0.1, draw=black] (C) circle (5mm);
\node[left] at ($(C)+(140:5mm)$) {$32^{o}$};
\end{scope}
\begin{scope}
\path[clip] (B) -- (D) -- (A);
\fill[purple, opacity=0.1, draw=black] (D) circle (5mm);
\node[above,left] at ($(D)+(110:5mm)$) {$\beta$};
\end{scope}
\foreach \dot in {A,B,C,D} {
\fill (\dot) circle(2pt);
\node[above] at (\dot) {\dot};
}
\end{tikzpicture}
\end{document}