\documentclass[12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[francais]{babel}
\usepackage{lmodern}
\usepackage[colorlinks=true,urlcolor=blue!50!black, linkcolor=blue!50!black]{hyperref}
\usepackage{pas-cours}
\usepackage[tikz]{bclogo}
\usepackage{mathrsfs}
\usepackage{tkz-euclide}
\usepackage{pas-math}
\usepackage[vmargin=1.5cm,rmargin=2cm,lmargin=1.5cm]{geometry}
\begin{document}
\chap[num=A,color=blue]{Construction d'un ovale}{Stéphane PASQUET, \today, \url{http://www.mathweb.fr}}

\itemclass{blue}
\begin{bclogo}[%
	couleur=blue!20,%
	couleurBord=blue!50!black,%
	arrondi=0.1,%
	logo=\bcquestion,%
	ombre=true,%
	couleurOmbre=blue!50!black!50,%
	blur,%
	barre=snake]{Intér\^ets de l'activité }
\begin{enumerate}
\item Manipulation du compas
\item Vocabulaire du cercle
\item Un peu de fraction
\item Programme de construction
\end{enumerate}
\end{bclogo}

\bigskip

\begin{pasbox}[style=act]
\begin{enumerate}
\item Trace un segment [O$_1$O$_2$] de 4 cm de longueur.\\
Trace le cercle $\mathscr{C}_1$ de centre O$_1$
et tel que son rayon soit les trois quarts de O$_1$O$_2$. Trace ensuite le cercle $\mathscr{C}_2$ de centre O$_2$ et tel que son rayon soit les trois quarts de O$_1$O$_2$.\\
$\mathscr{C}_1$ et $\mathscr{C}_2$ se coupent en deux points A et B ; place-les sur ta figure.
\item Place sur $\mathscr{C}_1$ le point A$_1$ tel que [AA$_1$] est un diamètre de $\mathscr{C}_1$.
\item Place sur $\mathscr{C}_2$ le point A$_2$ tel que [AA$_2$] est un diamètre de $\mathscr{C}_2$.
\item Place sur $\mathscr{C}_1$ le point B$_1$ tel que [BB$_1$] est un diamètre de $\mathscr{C}_1$.
\item Place sur $\mathscr{C}_2$ le point B$_2$ tel que [BB$_2$] est un diamètre de $\mathscr{C}_2$.
\item Trace l' arc de cercle \arc{A$_1$A$_2$} de centre A et de rayon AA$_1$.
\item Trace l' arc de cercle \arc{B$_1$B$_2$} de centre B et de rayon BB$_1$.
\end{enumerate}
\end{pasbox}

\begin{enumerate}
\item\par~
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (6,3) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\end{tikzpicture}
\end{center}

\newpage

\item\par~
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (6,3) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\tkzDefPointBy[symmetry=center O1](A)
\tkzGetPoint{A1}
\tkzDrawPoint(A1)
\tkzLabelPoint[below left](A1){A$_1$}
\tkzDrawSegment[dashed,color=gray!20](A,A1)
\end{tikzpicture}
\end{center}

\item\par~
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (6,3) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\tkzDefPointBy[symmetry=center O1](A)
\tkzGetPoint{A1}
\tkzDrawPoint(A1)
\tkzLabelPoint[below left](A1){A$_1$}
\tkzDefPointBy[symmetry=center O2](A)
\tkzGetPoint{A2}
\tkzDrawPoint(A1)
\tkzLabelPoint[below right](A2){A$_2$}
\tkzDrawSegments[dashed,color=gray!20](A,A1 A,A2)
\end{tikzpicture}
\end{center}

\item\par~
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (6,3) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\tkzDefPointBy[symmetry=center O1](A)
\tkzGetPoint{A1}
\tkzDrawPoint(A1)
\tkzLabelPoint[below left](A1){A$_1$}
\tkzDefPointBy[symmetry=center O2](A)
\tkzGetPoint{A2}
\tkzDrawPoint(A1)
\tkzLabelPoint[below right](A2){A$_2$}
\tkzDefPointBy[symmetry=center O1](B)
\tkzGetPoint{B1}
\tkzDrawPoint(B1)
\tkzLabelPoint[above left](B1){B$_1$}
\tkzDrawSegments[dashed,color=gray!20](A,A1 A,A2 B,B1)
\end{tikzpicture}
\end{center}

\newpage

\item\par~
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (8,0) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\tkzDefPointBy[symmetry=center O1](A)
\tkzGetPoint{A1}
\tkzDrawPoint(A1)
\tkzLabelPoint[below left](A1){A$_1$}
\tkzDefPointBy[symmetry=center O2](A)
\tkzGetPoint{A2}
\tkzDrawPoint(A2)
\tkzLabelPoint[below right](A2){A$_2$}
\tkzDefPointBy[symmetry=center O1](B)
\tkzGetPoint{B1}
\tkzDrawPoint(B1)
\tkzLabelPoint[above left](B1){B$_1$}
\tkzDefPointBy[symmetry=center O2](B)
\tkzGetPoint{B2}
\tkzDrawPoint(B2)
\tkzLabelPoint[above right](B2){B$_2$}
\tkzDrawSegments[dashed,color=gray!20](A,A1 A,A2 B,B1 B,B2)
\end{tikzpicture}
\end{center}

\item\par~
\begin{center}
\begin{tikzpicture}
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (8,0) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\tkzDefPointBy[symmetry=center O1](A)
\tkzGetPoint{A1}
\tkzDrawPoint(A1)
\tkzLabelPoint[below left](A1){A$_1$}
\tkzDefPointBy[symmetry=center O2](A)
\tkzGetPoint{A2}
\tkzDrawPoint(A2)
\tkzLabelPoint[below right](A2){A$_2$}
\tkzDefPointBy[symmetry=center O1](B)
\tkzGetPoint{B1}
\tkzDrawPoint(B1)
\tkzLabelPoint[above left](B1){B$_1$}
\tkzDefPointBy[symmetry=center O2](B)
\tkzGetPoint{B2}
\tkzDrawPoint(B2)
\tkzLabelPoint[above right](B2){B$_2$}
\tkzDrawSegments[dashed,color=gray!20](A,A1 A,A2 B,B1 B,B2)
\tkzDrawArc[color=red,line width=2pt](A,A1)(A2)
\end{tikzpicture}
\end{center}

\item\par~
\begin{center}
\begin{tikzpicture}
\clip (-3.1,-4) rectangle (7.5,4);
\tkzDefPoint(0,0){O1}
\tkzDefPoint(4,0){O2}
\tkzDrawSegment(O1,O2)
\tkzLabelPoint[below](O1){O$_1$}
\tkzLabelPoint[below](O2){O$_2$}
\tkzDrawCircle[R](O1,3 cm)
\tkzDrawCircle[R](O2,3 cm)
\node at (-3,3) {$\mathscr{C}_1$};
\node at (8,0) {$\mathscr{C}_2$};
\tkzInterCC[R](O1,3 cm)(O2,3 cm)
\tkzGetPoints{A}{B}
\tkzLabelPoint[above](A){A}
\tkzLabelPoint[below](B){B}
\tkzDefPointBy[symmetry=center O1](A)
\tkzGetPoint{A1}
\tkzDrawPoint(A1)
\tkzLabelPoint[below left](A1){A$_1$}
\tkzDefPointBy[symmetry=center O2](A)
\tkzGetPoint{A2}
\tkzDrawPoint(A2)
\tkzLabelPoint[below right](A2){A$_2$}
\tkzDefPointBy[symmetry=center O1](B)
\tkzGetPoint{B1}
\tkzDrawPoint(B1)
\tkzLabelPoint[above left](B1){B$_1$}
\tkzDefPointBy[symmetry=center O2](B)
\tkzGetPoint{B2}
\tkzDrawPoint(B2)
\tkzLabelPoint[above right](B2){B$_2$}
\tkzDrawSegments[dashed,color=gray!20](A,A1 A,A2 B,B1 B,B2)
\tkzDrawArc[color=red,line width=2pt](A,A1)(A2)
\tkzDrawArc[color=red,line width=2pt](B,B2)(B1)
\tkzDrawArc[color=red,line width=2pt,dotted](O1,B1)(A1)
\tkzDrawArc[color=red,line width=2pt,dotted](O2,A2)(B2)
\end{tikzpicture}
\end{center}
\end{enumerate}

\end{document}