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a/Annexe-Incertitudes/Annexe-Incertitudes.tex +++ b/Annexe-Incertitudes/Annexe-Incertitudes.tex @@ -13,7 +13,7 @@ Par ailleurs, faut-il écrire \unit{21,0}{\centi\metre}, \unit{21}{\centi\metre} Ce qu'il faut garder à l'esprit, c'est que la représentation choisie peut être porteuse d'une information intéressante quant à la précision de la mesure qui est à son origine. Par exemple, entre \unit{21,0}{\centi\metre} et \unit{21}{\centi\metre}, si il n'y a aucune différence numérique, on peut considérer que la présence du zéro de la première expression signifie que sa précision est de l'ordre du millimètre, alors qu'elle est de l'ordre du centimètre dans la seconde. \subsection{Chiffres significatifs} -Si on réalise une mesure au centimètre près et qu'on l'écrit comme unit{21,0}{\centi\metre}, on ne peut dire que le chiffre zéro signifie quelque chose. On dira donc que la mesure a été faite avec deux chiffres significatifs et on s'abstiendra d'écrire le zéro. Le nombre de chiffres significatifs dépend donc de l'estimation de la qualité de la mesure, de ce qu'on nomme incertitude et qu'on présentera plus loin. Ainsi, quand cette estimation s'exprime correctement dans l'expression d'un nombre, le nombre de chiffres significatifs est simplement le nombre de chiffres présents, à l'exception des zéros qui pourraient se trouver à gauche du nombre. +Si on réalise une mesure au centimètre près et qu'on l'écrit comme unit{21,0}{\centi\metre}, on ne peut dire que le chiffre zéro signifie quelque chose. On dira donc que la mesure a été faite avec deux chiffres significatifs et on s'abstiendra d'écrire le zéro. Le nombre de chiffres significatifs dépend donc de l'estimation de la qualité de la mesure, de ce qu'on nomme incertitude et qu'on présentera plus loin. Ainsi, quand cette estimation s'exprime correctement dans l'expression d'un nombre, le nombre de chiffres significatifs \index{chiffres significatifs} est simplement le nombre de chiffres présents, à l'exception des zéros qui pourraient se trouver à gauche du nombre. \smallskip Ainsi, écrire \unit{21}{\centi\metre} ou \unit{2,1}{\deci\metre} ne change pas le nombre de chiffres significatifs qui est ici de deux. @@ -25,13 +25,13 @@ Qu'en est-il exactement de la notion d'ordre de grandeur ? L'ordre de grandeur du chiffre \unit{2'045'000}{\metre} est le million de mètres, qu'on le représente comme précédemment ou par \unit{2'045\cdot 10^3}{\metre} ou encore par \unit{2,045\cdot 10^6}{\metre}. Il s'agit toujours du million de mètres ou du millier de kilomètres. On voit que l'expression de l'ordre de grandeur dépend de l'unité choisie (million de mètres ou millier de kilomètres) et se situe dans le premier chiffre du nombre. C'est pourquoi son expression sous une forme particulière de notation scientifique est intéressante pour déterminer l'ordre de grandeur d'un nombre. \medskip -Généralement, la notation scientifique se définit par la présence d'une mantisse, d'une base et d'un exposant. Ainsi, \unit{2'045\cdot 10^3}{\metre} ou encore \unit{2,045\cdot 10^6}{\metre} sont des nombre exprimés en notation scientifique. Mais la seconde expression est plus intéressante du point de vue de l'ordre de grandeur, car on y lit celui-ci directement dans l'exposant. Cette notation scientifique particulière ne comporte qu'un seul et unique chiffre avant la virgule et celui-ci est différent de zéro. +Généralement, la notation scientifique se définit par la présence d'une mantisse, d'une base et d'un exposant. Ainsi, \unit{2'045\cdot 10^3}{\metre} ou encore \unit{2,045\cdot 10^6}{\metre} sont des nombre exprimés en notation scientifique. Mais la seconde expression est plus intéressante du point de vue de l'ordre de grandeur, car on y lit celui-ci directement dans l'exposant. Cette notation scientifique \index{notationsci@notation!scientifique} particulière ne comporte qu'un seul et unique chiffre avant la virgule et celui-ci est différent de zéro. \medskip -Si on utilise la notation scientifique particulière présentée ci-dessus, l'ordre de grandeur d'un chiffre exprimé dans une unité donnée est son exposant. +Si on utilise la notation scientifique particulière présentée ci-dessus, l'ordre de grandeur \index{ordre de grandeur} d'un chiffre exprimé dans une unité donnée est son exposant. \medskip -Relevez enfin qu'il ne faut pas confondre notation scientifique et notation d'ingénieur. Cette dernière est une notation scientifique dont les exposants sont des multiples de trois. La raison en est que les préfixes des unités changent généralement leurs ordres de grandeur par trois : \unit{10^{-3}}{\milli\metre}, \unit{10^{-6}}{\micro\metre} ou \unit{10^{-9}}{\nano\metre}, etc. +Relevez enfin qu'il ne faut pas confondre notation scientifique et notation d'ingénieur \index{notationing@notation!d'ingénieur}. Cette dernière est une notation scientifique dont les exposants sont des multiples de trois. La raison en est que les préfixes des unités changent généralement leurs ordres de grandeur par trois : \unit{10^{-3}}{\milli\metre}, \unit{10^{-6}}{\micro\metre} ou \unit{10^{-9}}{\nano\metre}, etc. \section{Écart et erreur} On peut facilement déterminer l'écart entre deux valeurs $a$ et $b$ par leur différence $a-b$. On peut, par exemple, mesurer la longueur $L$ des baguettes de pain vendues par un boulanger et déterminer les différents écarts entre elles. Par exemple, on pourrait avoir une série de mesures telles que celle données dans le tableau \ref{baguettepain}. diff --git a/Annexe-Incertitudes/Annexe-Incertitudes.tex.bak b/Annexe-Incertitudes/Annexe-Incertitudes.tex.bak index 9c921f2..7ba27b9 100644 --- a/Annexe-Incertitudes/Annexe-Incertitudes.tex.bak +++ b/Annexe-Incertitudes/Annexe-Incertitudes.tex.bak @@ -13,7 +13,7 @@ Par ailleurs, faut-il écrire \unit{21,0}{\centi\metre}, \unit{21}{\centi\metre} Ce qu'il faut garder à l'esprit, c'est que la représentation choisie peut être porteuse d'une information intéressante quant à la précision de la mesure qui est à son origine. Par exemple, entre \unit{21,0}{\centi\metre} et \unit{21}{\centi\metre}, si il n'y a aucune différence numérique, on peut considérer que la présence du zéro de la première expression signifie que sa précision est de l'ordre du millimètre, alors qu'elle est de l'ordre du centimètre dans la seconde. \subsection{Chiffres significatifs} -Si on réalise une mesure au centimètre près et qu'on l'écrit comme unit{21,0}{\centi\metre}, on ne peut dire que le chiffre zéro signifie quelque chose. On dira donc que la mesure a été faite avec deux chiffres significatifs et on s'abstiendra d'écrire le zéro. Le nombre de chiffres significatifs dépend donc de l'estimation de la qualité de la mesure, de ce qu'on nomme incertitude et qu'on présentera plus loin. Ainsi, quand cette estimation s'exprime correctement dans l'expression d'un nombre, le nombre de chiffres significatifs est simplement le nombre de chiffres présents, à l'exception des zéros qui pourraient se trouver à gauche du nombre. +Si on réalise une mesure au centimètre près et qu'on l'écrit comme unit{21,0}{\centi\metre}, on ne peut dire que le chiffre zéro signifie quelque chose. On dira donc que la mesure a été faite avec deux chiffres significatifs et on s'abstiendra d'écrire le zéro. Le nombre de chiffres significatifs dépend donc de l'estimation de la qualité de la mesure, de ce qu'on nomme incertitude et qu'on présentera plus loin. Ainsi, quand cette estimation s'exprime correctement dans l'expression d'un nombre, le nombre de chiffres significatifs \index{chiffres significatifs} est simplement le nombre de chiffres présents, à l'exception des zéros qui pourraient se trouver à gauche du nombre. \smallskip Ainsi, écrire \unit{21}{\centi\metre} ou \unit{2,1}{\deci\metre} ne change pas le nombre de chiffres significatifs qui est ici de deux. @@ -25,13 +25,13 @@ Qu'en est-il exactement de la notion d'ordre de grandeur ? L'ordre de grandeur du chiffre \unit{2'045'000}{\metre} est le million de mètres, qu'on le représente comme précédemment ou par \unit{2'045\cdot 10^3}{\metre} ou encore par \unit{2,045\cdot 10^6}{\metre}. Il s'agit toujours du million de mètres ou du millier de kilomètres. On voit que l'expression de l'ordre de grandeur dépend de l'unité choisie (million de mètres ou millier de kilomètres) et se situe dans le premier chiffre du nombre. C'est pourquoi son expression sous une forme particulière de notation scientifique est intéressante pour déterminer l'ordre de grandeur d'un nombre. \medskip -Généralement, la notation scientifique se définit par la présence d'une mantisse, d'une base et d'un exposant. Ainsi, \unit{2'045\cdot 10^3}{\metre} ou encore \unit{2,045\cdot 10^6}{\metre} sont des nombre exprimés en notation scientifique. Mais la seconde expression est plus intéressante du point de vue de l'ordre de grandeur, car on y lit celui-ci directement dans l'exposant. Cette notation scientifique particulière ne comporte qu'un seul et unique chiffre avant la virgule et celui-ci est différent de zéro. +Généralement, la notation scientifique se définit par la présence d'une mantisse, d'une base et d'un exposant. Ainsi, \unit{2'045\cdot 10^3}{\metre} ou encore \unit{2,045\cdot 10^6}{\metre} sont des nombre exprimés en notation scientifique. Mais la seconde expression est plus intéressante du point de vue de l'ordre de grandeur, car on y lit celui-ci directement dans l'exposant. Cette notation scientifique \index{notationsci@notation!scientifique} particulière ne comporte qu'un seul et unique chiffre avant la virgule et celui-ci est différent de zéro. \medskip -Si on utilise la notation scientifique particulière présentée ci-dessus, l'ordre de grandeur d'un chiffre exprimé dans une unité donnée est son exposant. +Si on utilise la notation scientifique particulière présentée ci-dessus, l'ordre de grandeur \index{ordre de grandeur} d'un chiffre exprimé dans une unité donnée est son exposant. \medskip -Relevez enfin qu'il ne faut pas confondre notation scientifique et notation d'ingénieur. Cette dernière est une notation scientifique dont les exposants sont des multiples de trois. La raison en est que les préfixes des unités changent généralement leurs ordres de grandeur par trois : \unit{10^{-3}}{\milli\metre}, \unit{10^{-6}}{\micro\metre} ou \unit{10^{-9}}{\nano\metre}, etc. +Relevez enfin qu'il ne faut pas confondre notation scientifique et notation d'ingénieur \index{notationing@notation!d'ingénieur}. Cette dernière est une notation scientifique dont les exposants sont des multiples de trois. La raison en est que les préfixes des unités changent généralement leurs ordres de grandeur par trois : \unit{10^{-3}}{\milli\metre}, \unit{10^{-6}}{\micro\metre} ou \unit{10^{-9}}{\nano\metre}, etc. \section{Écart et erreur} On peut facilement déterminer l'écart entre deux valeurs $a$ et $b$ par leur différence $a-b$. On peut, par exemple, mesurer la longueur $L$ des baguettes de pain vendues par un boulanger et déterminer les différents écarts entre elles. Par exemple, on pourrait avoir une série de mesures telles que celle données dans le tableau \ref{baguettepain}. @@ -363,6 +363,7 @@ I(E_{pot})&=E_{pot}\cdot i(E_{pot})\\ &=m\cdot g\cdot h\cdot (i(m)+i(g)+i(h))\\ &=m\cdot g\cdot h\cdot (\frac{i(m)}{m}+\frac{i(g)}{g}+\frac{i(h)}{h})\\ \end{align*} +C'est l'exemple le plus simple mettant en jeu des incertitudes relatives. \item Pour obtenir l'incertitude sur l'énergie cinétique~: \begin{align*} E_{cin}&=\frac{1}{2}\cdot m\cdot v^2\\ diff --git a/Annexe-Maree/Annexe-Maree.aux b/Annexe-Maree/Annexe-Maree.aux index 455ef38..4fc303a 100644 --- a/Annexe-Maree/Annexe-Maree.aux +++ b/Annexe-Maree/Annexe-Maree.aux @@ -1,51 +1,51 @@ \relax -\@writefile{lof}{\contentsline {figure}{\numberline {J.1}{\ignorespaces Mar\IeC {\'e}e}}{195}} -\newlabel{maree}{{J.1}{195}} -\@writefile{toc}{\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{195}} +\@writefile{lof}{\contentsline {figure}{\numberline {J.1}{\ignorespaces Mar\IeC {\'e}e}}{193}} 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\@setckpt{Annexe-Maree/Annexe-Maree}{ -\setcounter{page}{202} +\setcounter{page}{200} \setcounter{equation}{10} \setcounter{enumi}{2} \setcounter{enumii}{0} diff --git a/Annexe-Relativite/Annexe-Relativite.aux b/Annexe-Relativite/Annexe-Relativite.aux index 0c4a736..2e19781 100644 --- a/Annexe-Relativite/Annexe-Relativite.aux +++ b/Annexe-Relativite/Annexe-Relativite.aux @@ -25,7 +25,7 @@ \@writefile{toc}{\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{192}} \newlabel{forcecentrifuge}{{I.4.2}{192}} \@setckpt{Annexe-Relativite/Annexe-Relativite}{ -\setcounter{page}{194} +\setcounter{page}{193} \setcounter{equation}{11} \setcounter{enumi}{2} \setcounter{enumii}{0} diff --git a/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex b/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex index 6d2b1a4..c6f10e6 100644 --- a/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex +++ b/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex @@ -247,7 +247,7 @@ Cheval-vapeur : \unit{1}{\horsepower} & = & \unit{736}{\watt}\\ \section{Sous-multiples} -On trouvera dans la table \ref{prefixes} les principales notations pour les multiples\index{multiple} et les sous-multiples\index{sous-multiple}. Ces notations sont bien évidemment liées à la notation scientifique\index{notation!scientifique}. Elle est aussi liée à un autre type de notation, dite notation d'ingénieur\index{notation!d'ingénieur}, qu'il faut mentionner au moins une fois. En effet, si cette notation est relativement peu utilisée hors des cercles d'ingénieurs, elle est assez souvent présente sur les machines à calculer. Pour qu'elle ne pose pas de problèmes, il est donc plus nécessaire de savoir ne pas l'activer que de savoir l'utiliser. En fait, c'est une notation scientifique, dont les exposants du facteur 10 sont des multiples de 3. Ainsi, par exemple, les mètres (\(10^{0}\)) et les millimètres (\(10^{-3}\)) sont utilisés dans cette notation, mais pas les centimètres (\(10^{-2}\)). +On trouvera dans la table \ref{prefixes} les principales notations pour les multiples\index{multiple} et les sous-multiples\index{sous-multiple}. Ces notations sont bien évidemment liées à la notation scientifique\index{notationsci@notation!scientifique}. Elle est aussi liée à un autre type de notation, dite notation d'ingénieur\index{notationing@notation!d'ingénieur}, qu'il faut mentionner au moins une fois. En effet, si cette notation est relativement peu utilisée hors des cercles d'ingénieurs, elle est assez souvent présente sur les machines à calculer. Pour qu'elle ne pose pas de problèmes, il est donc plus nécessaire de savoir ne pas l'activer que de savoir l'utiliser. En fait, c'est une notation scientifique, dont les exposants du facteur 10 sont des multiples de 3. Ainsi, par exemple, les mètres (\(10^{0}\)) et les millimètres (\(10^{-3}\)) sont utilisés dans cette notation, mais pas les centimètres (\(10^{-2}\)). \begin{table}[ht] \centering @@ -294,9 +294,9 @@ femto & f & \(10^{-15}\)\\ \end{table} -\section{Notation scientifique\index{notation!scientifique}} +\section{Notation scientifique\index{notationsci@notation!scientifique}} -A ne pas confondre avec la notation d'ingénieur\index{notation!d'ingénieur} (par multiples de \(10^3\)), la notation scientifique : \(\cdot10^{x}\), ou x est un nombre entier positif ou négatif, peut être utilisée sur une machine à calculer à l'aide de la touche \fbox{EXP}\index{EXP} ou \fbox{EE}\index{EE}~. Notez que l'affichage peut alors donner, par exemple : +A ne pas confondre avec la notation d'ingénieur\index{notationing@notation!d'ingénieur} (par multiples de \(10^3\)), la notation scientifique : \(\cdot10^{x}\), ou x est un nombre entier positif ou négatif, peut être utilisée sur une machine à calculer à l'aide de la touche \fbox{EXP}\index{EXP} ou \fbox{EE}\index{EE}~. Notez que l'affichage peut alors donner, par exemple : \begin{center} \fbox{\hspace*{2cm}5~E~2} ou même \fbox{\hspace*{2cm}\(5\,^{2}\)} \end{center} diff --git a/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex.bak b/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex.bak new file mode 100644 index 0000000..c6f10e6 --- /dev/null +++ b/Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex.bak @@ -0,0 +1,326 @@ +\myclearpage + +\twocolumn + +\chapter[Systèmes d'unités]{Systèmes d'unités}\label{SI} +\addunit{\foot}{ft} +\addunit{\inch}{in} +\addunit{\lightyear}{AL} +\addunit{\parsec}{pc} +\addunit{\astronomyunit}{UA} +\addunit{\calorie}{cal} +\addunit{\horsepower}{hp} + +\section{Introduction} + +\lettrine{L}{es unités} sont des ``objets'' d'une importance capitale pour exprimer la valeur d'une grandeur. À chacune d'elle peut correspondre beaucoup d'unités. C'est parfaitement compréhensible étant donné la variété des domaines auxquels elles s'appliquent et à priori il est naturel que chacun définisse les unités qui lui sont les plus pratiques. Mais, deux problèmes se posent alors. Le premier tient dans le fait que plus le nombre d'unités est grand, plus il est difficile de les faire correspondre entre elles. Le second tient dans le fait qu'effectuer des calculs complexes génère des unités complexes. On se heurte donc à des problèmes de \emph{conversion} et à des problèmes de \emph{construction} des unités. C'est pour régler ces deux types de problèmes qu'a été inventé le \emph{Système International d'unités}. + +\section{Opérateur d'unités} + +\medskip +Auparavant, voyons comment se construisent les unités. On n'envisage pas ici de décrire comment les unités de base ont été définies historiquement. Leur histoire est intéressante, mais complexe. Pour le mètre, par exemple, on pourra consulter \cite{AK05} ou \cite{AS06}. + +La construction des unités dérivées des unités de base se fait à l'aide de l'opérateur d'unités [\dots] (il s'agit des ``crochets'') dont la signification est \emph{``l'unité de~\dots''}. Ainsi, écrire : +\[[L]=\metre\] +signifie que l'unité de la grandeur \(L\) est le mètre. Il en va de même avec des unités dérivées comme : +\[[a]=\metrepersquaresecond\] +qui signifie que l'unité de la grandeur \(a\) est le mètre par seconde au carré. + +\smallskip +On peut relever à cette occasion que cette notation permet de savoir comment reporter les unités sur les axes d'un graphique. En effet, de manière générale, on note une grandeur \(X\) ainsi : +\begin{equation}\label{express_unite} +X=x\,[X] +\end{equation} + +où \(X\) est la grandeur, \(x\) sa valeur et \([X]\) son unité. Or, comme ce sont les valeurs d'une grandeur qu'on reporte en regard de l'axe d'un graphique, on peut isoler la valeur de l'équation \ref{express_unite} : +\[x=X/[X]\] +pour trouver l'expression à mettre à côté de l'axe. Ainsi, pour un axe correspondant à une longueur, il faudrait mettre : +\[\uparrow\,L/\metre\] +Logiquement, on voit qu'il ne vient pas de crochets autour de l'unité, comme cela est parfois pratiqué. De plus, il faut mettre un symbole de division entre la grandeur et l'unité. + +\smallskip +Venons en maintenant à la construction des unités. Commençons par des expressions connues comme la vitesse. Pour déterminer les unités à associer à une vitesse, il faut connaître son expression en termes de grandeurs de base, c'est-à-dire dont les unités sont simples : +\[v=\frac{d}{t}\] +et en prendre les unités à l'aide de l'opérateur d'unités : +\[[v]=[\frac{v}{t}]=\frac{[v]}{[t]}=\metrepersecond\] +On voit que lorsque l'opérateur [\dots] s'applique sur une fraction, il s'applique à chacun de ses termes. On voit aussi la correspondance entre la division des grandeurs et l'expression ``par'' qui lie les deux unités de base de la vitesse. + +Pour des expression plus complexes, cette ``algèbre'' des unité s'applique aussi. Ainsi, les unités de la force sont obtenues à partir de la seconde loi de Newton : +\[[F]=[m\cdot a]=[m]\cdot [a]=\kilogram\usk\metrepersquaresecond=\newton\] +Mais, des situations plus complexes peuvent se présenter. Pour la période d'un pendule, on a par exemple : +\begin{align*} +[T]&=[2\cdot \pi\cdot \sqrt{\frac{L}{g}}]=[2]\cdot [\pi]\cdot \sqrt{\frac{[L]}{[g]}}\\ +&=\sqrt{\frac{\metre}{\metre\per\second\squared}}=\sqrt{\metre\cdot \frac{\second\squared}{\metre}}\\ +&=\sqrt{\second\squared}=\second +\end{align*} +On voit qu'appliquer l'opérateur d'unité à une racine revient à l'appliquer aux termes de la racine et que diviser une unité par une fraction de deux autres revient à la multiplier par l'inverse de cette fraction, comme en algèbre ordinaire. Ainsi aussi, la racine du carré d'une unité correspond-elle à l'unité elle-même. + +Ainsi, par la suite nous rencontrerons des combinaisons d'unités s'appuyant sur des opérations arithmétiques et il sera possible de les manipuler en tant que telles. C'est pourquoi nous dirons que l'opérateur d'unité est un opérateur algébrique. Nous allons voir qu'il est possible de se livrer aussi à une étude des lois du point de vue de leurs unités à travers ce qu'on nomme une \emph{analyse dimentionnelle}. + +\section{Analyse dimentionnelle} + +Pour comprendre les relations entretenues par différentes grandeurs, plusieurs méthodes sont à notre disposition. Les deux principales sont la déduction mathématique utilisée à partir des axiomes d'une théorie et l'induction expérimentale. L'analyse dimentionnelle est un outil supplémentaire permettant la vérification des lois. On entend par analyse dimentionnelle l'étude des dimensions des grandeurs impliquées, c'est-à-dire l'analyse de leurs unités. Par exemple, si on envisage la force centripète \(F\) exercée par la corde qui retient un objet en rotation, on peut écrire : +\[F=m\cdot \frac{v}{R}\] +où \(m\) est la masse de l'objet, \(v\) sa vitesse et \(R\) le rayon du cercle parcouru. En effet, intuitivement, la force doit être forte pour une grande masse et une vitesse importante. Par contre, en imaginant une voiture qui prend un virage, on s'imagine bien que c'est pour un rayon petit que cette force doit être grande. D'où la forme de la relation proposée. + +Mais, cette relation est-elle correcte ? Pour en savoir plus procédons à une analyse dimentionnelle. La seconde loi de Newton nous permet d'écrire : +\[[F]=[m]\cdot [a]=\kilogram\usk\metre\per\second\squared\] +D'autre part, le terme de droite s'écrit : +\[[m]\cdot \frac{[v]}{[R]}=\kilogram\cdot \frac{\metre\per\second}{\metre}=\kilogram\usk\reciprocal\second\] +On a donc : +\[\kilogram\usk\metre\per\second\squared\neq\kilogram\usk\reciprocal\second\] +et on peut en déduire que la relation est fausse, uniquement sur la base d'une analyse dimentionnelle. + +La correction est assez facile à trouver. Comme il faut l'inverse d'un temps au carré et que le temps n'apparaît que dans la vitesse, on peut essayer : +\[F=m\cdot \frac{v^2}{R}\] +Et l'analyse dimentionnelle : +\[\kilogram\usk\metre\per\second\squared=\kilogram\cdot \frac{\metre\squared\per\second\squared}{\metre}\] +confirme alors l'exactitude de cette relation. + +\smallskip +Un tel outil est très puissant et si simple à utiliser qu'il est important de le faire systèmatiquement. + +\section{Les unités du Système International} +Nous avons dit précédemment que le Système International d'unités\index{Système!International d'unités} (SI\index{SI}) a sa raison d'être, non pas dans l'uniformisation (qui n'a pas de sens véritable puisqu'à chaque type de problème un système d'unité adéquat doit être choisi pour simplifier la représentation numérique) mais dans la simplification des calculs. En effet, tous les calculs effectués dans ce système sont prévus (au niveau des constantes utilisées) pour donner des résultats dont les unités restent dans ce système. + +\subsection{Exemple} + +Par exemple, on peut calculer la période \(T\) d'un pendule simple de longueur \(L\) grâce à l'équation suivante : +\begin{equation*} +T=2\cdot \pi \sqrt{\frac{L}{g}} +\end{equation*} +Pour un pendule de longueur \(L=\unit{2}{\foot}\), on peut alors calculer la période : +\begin{equation*} +T=2\cdot \pi \sqrt{\frac{2}{9,81}}=\unit{2,837}{?} +\end{equation*} + +\begin{table*}[ht] +\centering +\caption{Les unités du Système International} +\label{AL} +\begin{tabular}{|l|c||c|c||c|} +\hline +Grandeur & Symbole & Nom unité & Symbole & Unités de base\\ +\hline +\hline +Longueur & L & mètre & \metre & \metre\\ +\hline +Masse & m & kilogramme & \kilogram & \kilogram\\ +\hline +Temps & t & seconde & \second & \second\\ +\hline +Température & T & kelvin & \kelvin & \kelvin\\ +\hline +Quantité de matière & n & mole & \mole & \mole\\ +\hline +Angle & \(\alpha\) & radian & \rad & -\\ +\hline +Fréquence & f & hertz & \hertz & \hertzbase\\ +\hline +Force & F & newton & \newton & \newtonbase\\ +\hline +Énergie, travail & E, A & joule & \joule & \joulebase\\ +\hline +Puissance & P & watt & \watt & \wattbase\\ +\hline +\end{tabular} +\end{table*} + +La question est de savoir quelle unité attribuer au résultat. Formellement, on peut écrire en utilisant l'opérateur d'unités : +\begin{equation*} +[T]=[2]\cdot [\pi]\cdot \sqrt{\frac{[L]}{[g]}}=\sqrt{\frac{\foot}{\metrepersquaresecond}} +\end{equation*} +Il est évident que ces unités sont complexes et que le résultat ne peut être exprimé ainsi dans une unité connue. En n'utilisant pas un système cohérent d'unités, il est nécessaire de faire suivre l'ensemble des calculs réalisés par leur équivalent en terme d'unités afin de savoir quelles sont les unités à attribuer aux résultats. Quand les grandeurs utilisées sont complexes, cela devient vite très pénible. + +Le ``Système International d'unités'' est là pour y remédier. En effet, en travaillant exclusivement avec des grandeurs exprimées en unités internationales, on peut garantir que le résultat s'exprimera dans l'unité internationale correspondant à sa grandeur. Ainsi, pour une longueur \(L=\unit{2}{\metre}\), l'exemple précédent donne le résultat suivant : +\begin{equation*} +T=2\cdot \pi\cdot \sqrt{\frac{2}{9,81}}=\unit{2,837}{\second} +\end{equation*} +puisque l'unité de temps du Système International est la seconde. Et en effet, comme vu précédemment, on peut écrire : +\begin{equation*} +[T]=[2]\cdot [\pi]\cdot \sqrt{\frac{[L]}{[g]}}=\sqrt{\frac{\metre}{\metrepersquaresecond}}=\sqrt{\second\squared}=\second +\end{equation*} + +\smallskip +Ainsi, on peut imaginer une grandeur issue d'un calcul faisant intervenir les deux grandeurs suivantes : une force et une masse. Si ce calcul se fait à partir de ces deux grandeurs exprimées dans les unités du système international, dans le cas présent des newtons (\newton) pour la force et des kilogrammes (\kilogram) pour la masse, alors le résultat est forcément exprimé dans les unités du Système International. Comme il s'agit ici d'une accélération, ces unités sont des \metrepersquaresecond. + +\section{Conversions\index{conversion}} + +Les unités\index{unité} de la table \ref{grandeurs} ne font pas partie du Système International mais restent utiles : + +\begin{table}[ht] +\centering +\caption{Conversions d'unités} +\label{grandeurs} +\begin{tabular}{|lcc|} +\hline +\textbf{Longueur} & & \textbf{\'Equivalent SI}\\ +\hline +\hline +\unit{1}{\angstrom} (angstr\oe m) & = & \unit{1\cdot10^{-10}}{\metre}\\ +\hline +\unit{1}{\micro} (micron) & = & \unit{1\cdot10^{-6}}{\micro\metre}\\ +\hline +\unit{1}{\inch} (pouce) & = & \unit{2,54\cdot10^{-2}}{\metre}\\ +\hline +\unit{1}{\foot} (pied) = \unit{12}{\inch} & = & \unit{0,3048}{\metre}\\ +\hline +\unit{1}{\astronomyunit} (unité astro.) & = & \unit{1,496\cdot10^{11}}{\metre}\\ +\hline +\unit{1}{\lightyear} (année lumière) & = & \unit{9,4607\cdot10^{15}}{\metre}\\ +\hline +\unit{1}{\parsec} (parsec) & = & \unit{3,0857\cdot10^{16}}{\metre}\\ +\hline +\end{tabular} +\end{table} + +\medskip{} +L'unité astronomique correspond à la longueur du demi-grand axe de l'orbite terrestre. + +Le parsec\index{parsec} est la distance à laquelle \unit{1}{\astronomyunit}\index{UA} est vue sous un angle de \unit{1}{\arcsecond} (une seconde\index{seconde!d'arc}) d'arc. Comme \unit{1}{\degree} est divisé en \unit{60}{\arcminute} (minutes\index{minute d'arc}) d'arc et \unit{1}{\arcminute} d'arc en \unit{60}{\arcsecond}, une seconde d'arc (\unit{1}{\arcsecond}) représente \unit{1/3600}{\degree}. Pour calculer ce que vaut \unit{1}{\parsec}\index{pc}, il faut une relation entre la distance réelle L de \unit{1}{\astronomyunit} et l'angle \(\alpha\) (\unit{1}{\arcsecond}) sous lequel cette distance est vue. Cette relation est (voir figure \ref{arc}): + +\begin{equation}\label{relationdarc} +L=\alpha\cdot R +\end{equation} + +\begin{figure}[ht] +\centering +\caption{Relation de l'arc de cercle\label{arc}} +\includegraphics{Arc.eps} +\end{figure} + +où \(R\) est le rayon de l'arc de cercle de longueur \(L\) et d'angle au centre \(\alpha\). Mais, attention, \(\alpha\) doit être en radians. Or, comme \unit{180}{\degree}=\unit{\pi}{\rad}, \unit{1}{\degree}=\unit{\pi}{\rad}/\unit{180}{\rad} et \unit{1}{\arcsecond}=\unit{\pi}{\rad}/\unit{(180\cdot 3600)}{\rad}. Ainsi on obtient la valeur du parsec : +\begin{align*} +R&=\frac{L}{\alpha}=\frac{L\cdot 180\cdot 3600}{\pi}\\ +&=\frac{1,496\cdot10^{11}\cdot 180\cdot 3600}{\pi}=\unit{3,0857\cdot10^{16}}{\metre} +\end{align*} + +\begin{table}[ht] +\centering +\begin{tabular}{|ccc|} +\hline +\textbf{Volume} & & \textbf{\'Equivalent SI}\\ +\hline +\hline +Litre : \unit{1}{\litre}=\unit{1}{\deci\cubic\metre} & = & \unit{1\usk\millid}{\cubic\metre}\\ +\hline +\end{tabular} + +\bigskip{} + +\begin{tabular}{|ccc|} +\hline +\textbf{Énergie} & & \textbf{\'Equivalent SI}\\ +\hline +\hline +Calorie : \unit{1}{\calorie} & = & \unit{4,186}{\joule}\\ +\hline +\unit{1}{\kilowatthour} & = & \unit{3,6\usk\megad}{\joule}\\ +\hline +\end{tabular} + +\bigskip{} + +\begin{tabular}{|ccc|} +\hline +\textbf{Puissance} & & \textbf{\'Equivalent SI}\tabularnewline +\hline +\hline +Cheval-vapeur : \unit{1}{\horsepower} & = & \unit{736}{\watt}\\ +\hline +\end{tabular} + +\bigskip{} + +\begin{tabular}{|ccc|} +\hline +\textbf{Température} & & \textbf{\'Equivalent SI}\\ +\hline +\hline +\unit{0}{\celsius} & = & \unit{273,15}{\kelvin}\\ +\hline +\end{tabular} + +\caption{Quelques équivalents} + +\end{table} + +\section{Sous-multiples} + +On trouvera dans la table \ref{prefixes} les principales notations pour les multiples\index{multiple} et les sous-multiples\index{sous-multiple}. Ces notations sont bien évidemment liées à la notation scientifique\index{notationsci@notation!scientifique}. Elle est aussi liée à un autre type de notation, dite notation d'ingénieur\index{notationing@notation!d'ingénieur}, qu'il faut mentionner au moins une fois. En effet, si cette notation est relativement peu utilisée hors des cercles d'ingénieurs, elle est assez souvent présente sur les machines à calculer. Pour qu'elle ne pose pas de problèmes, il est donc plus nécessaire de savoir ne pas l'activer que de savoir l'utiliser. En fait, c'est une notation scientifique, dont les exposants du facteur 10 sont des multiples de 3. Ainsi, par exemple, les mètres (\(10^{0}\)) et les millimètres (\(10^{-3}\)) sont utilisés dans cette notation, mais pas les centimètres (\(10^{-2}\)). + +\begin{table}[ht] +\centering +\begin{tabular}{|c|c|c|} +\hline +\textbf{Préfixe} & \textbf{Symbole} & \textbf{Facteur}\\ +\hline +\hline +peta & P & \(10^{15}\)\\ +\hline +téra & T & \(10^{12}\)\\ +\hline +giga & G & \(10^{9}\)\\ +\hline +méga & M & \(10^{6}\)\\ +\hline +kilo & k & \(10^{3}\)\\ +\hline +hecto & h & \(10^{2}\)\\ +\hline +déca & da & \(10^{1}\)\\ +\hline +- & - & -\\ +\hline +déci & d & \(10^{-1}\)\\ +\hline +centi & c & \(10^{-2}\)\\ +\hline +milli & m & \(10^{-3}\)\\ +\hline +micro & \(\mu\) & \(10^{-6}\)\\ +\hline +nano & n & \(10^{-9}\)\\ +\hline +pico & p & \(10^{-12}\)\\ +\hline +femto & f & \(10^{-15}\)\\ +\hline +\end{tabular} + +\caption{Multiples et sous-multiples} + +\label{prefixes} + +\end{table} + +\section{Notation scientifique\index{notationsci@notation!scientifique}} + +A ne pas confondre avec la notation d'ingénieur\index{notationing@notation!d'ingénieur} (par multiples de \(10^3\)), la notation scientifique : \(\cdot10^{x}\), ou x est un nombre entier positif ou négatif, peut être utilisée sur une machine à calculer à l'aide de la touche \fbox{EXP}\index{EXP} ou \fbox{EE}\index{EE}~. Notez que l'affichage peut alors donner, par exemple : +\begin{center} +\fbox{\hspace*{2cm}5~E~2} ou même \fbox{\hspace*{2cm}\(5\,^{2}\)} +\end{center} +pour \(5\cdot10^{2}\), sans marquer le \(10\) et avec un \(2\) sur la même ligne d'affichage que le \(5\). Ce type d'affichage pose des problème de compréhension et génère des fautes de calcul. Par exemple, pour calculer : +\[(10^{-10})^2\] +l'erreur courante est de taper : 10~\fbox{EE}~-10. L'affichage donne alors malheureusement : +\begin{center} +\fbox{\hspace*{2cm}10~E~-10} +\end{center} +ce qui est trompeur puisque cela signifie \(10\cdot 10^{-10}\) et non \(10^{-10}\), c'est-à-dire \(1\cdot 10^{-10}\). Pour cela, il aurait fallu taper : 1~\fbox{EE}~-10 et l'affichage aurait donné : +\begin{center} +\fbox{\hspace*{2cm}1~E~-10} +\end{center} + +\section{Règles de calcul} +Remarquons encore les règles mathématiques très utiles suivantes (voir annexe \ref{exos}): + +\[10^{a}\cdot10^{b}=10^{a+b}\;\;\text{et}\;\;\frac{1}{10^{a}}=10^{-a}\] + +Elles permettent de réaliser de tête et rapidement des calculs complexes comme : + +\begin{align*} +F&=9\cdot 10^9\cdot \frac{2\cdot 10^{-3}\cdot 2\cdot 10^{-2}}{(2\cdot 10^4)^2}\\ +&=9\cdot \frac{2\cdot 2}{4}\cdot 10^9\cdot 10^{-3}\cdot 10^{-2}\cdot ((10^4)^2)^{-1}\\ +&=9\cdot 10^{9-3-2}\cdot 10^{2\cdot (-4)}=9\cdot 10^4\cdot 10^{-8}\\ +&=9\cdot 10^{-4}\;N +\end{align*} \ No newline at end of file diff --git a/Cinematique/Cinematique.aux b/Cinematique/Cinematique.aux index bac15b4..186bd80 100644 --- a/Cinematique/Cinematique.aux +++ b/Cinematique/Cinematique.aux @@ -84,10 +84,10 @@ \@writefile{toc}{\contentsline {subsubsection}{Relation importante}{48}} \@writefile{lof}{\contentsline {figure}{\numberline {2.10}{\ignorespaces Mouvement circulaire uniforme\relax }}{48}} \newlabel{MCU}{{2.10}{48}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{48}} +\newlabel{loiskepler}{{2.5.7}{48}} \@writefile{lof}{\contentsline {figure}{\numberline {2.11}{\ignorespaces Astronomica pars Optica}}{49}} \newlabel{oeil}{{2.11}{49}} -\@writefile{toc}{\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{49}} -\newlabel{loiskepler}{{2.5.7}{49}} \newlabel{keplertroisieme}{{2.16}{50}} \newlabel{RF1}{51} \@writefile{lof}{\contentsline {figure}{\numberline {2.12}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de cin\IeC {\'e}matique\relax }}{51}} diff --git a/CoursMecaniqueOSDF.aux b/CoursMecaniqueOSDF.aux index 7469dd3..717e499 100644 --- a/CoursMecaniqueOSDF.aux +++ b/CoursMecaniqueOSDF.aux @@ -33,26 +33,3 @@ \@input{Annexe-Incertitudes/Annexe-Incertitudes.aux} \bibstyle{apalike-fr} \bibdata{../Bibliographies/BiblioCours} -\bibcite{AK05}{{1}{2005}{{Alder}}{{}}} -\bibcite{FB05}{{2}{2005}{{Balibar \emph {et~al.}}}{{}}} -\bibcite{BM85}{{3}{1985}{{Biarnais}}{{}}} -\bibcite{FC05}{{4}{2005}{{Casoli et Encrenaz}}{{}}} -\bibcite{JJD21}{{5}{1821}{{Delambre}}{{}}} -\bibcite{GG92}{{6}{1992}{{Galilei}}{{}}} -\bibcite{GSJ05}{{7}{2005}{{Gould}}{{}}} -\bibcite{GC88}{{8}{1988}{{Gruber}}{{}}} -\bibcite{OG04}{{9}{2004}{{Gu{\'e}rin}}{{}}} -\bibcite{SH03}{{10}{2003}{{Hawking}}{{}}} -\bibcite{JL96}{{11}{1996}{{L{\'e}vy-Leblond}}{{}}} -\bibcite{JL06}{{12}{2006}{{L{\'e}vy-Leblond}}{{}}} -\bibcite{LJ04}{{13}{2004}{{Lhomme}}{{}}} -\bibcite{EL99}{{14}{1999}{{Lindemann}}{{}}} -\bibcite{HNHR08}{{15}{2008}{{Nollert et Ruder}}{{}}} -\bibcite{OP06}{{16}{2006}{{Ollivier}}{{}}} -\bibcite{HRaFL03}{{17}{2003}{{Reeves et Lenoir}}{{}}} -\bibcite{JR07}{{18}{2007}{{Robredo}}{{}}} -\bibcite{JR00}{{19}{2000}{{Rocchi}}{{}}} -\bibcite{AS02}{{20}{2002}{{Simaan}}{{}}} -\bibcite{AS06}{{21}{2006}{{Simaan}}{{}}} -\bibcite{BS07}{{22}{2007}{{Simon}}{{}}} -\bibcite{SV06}{{23}{2006}{{Vauclair}}{{}}} diff --git a/CoursMecaniqueOSDF.bbl b/CoursMecaniqueOSDF.bbl index 5ea5bad..28f685d 100644 --- a/CoursMecaniqueOSDF.bbl +++ b/CoursMecaniqueOSDF.bbl @@ -5,154 +5,4 @@ \def\url#1{{\tt #1}}% \message{You should include the url package}\fi -\bibitem[Alder, 2005]{AK05} -\bgroup\fonteauteurs\bgroup Alder\egroup\egroup{}, K. (2005). -\newblock {\em Mesurer le monde. L'incroyable histoire de l'invention du - m{\`e}tre.} -\newblock Flammarion, original 2002, 2005 pour la traduction, flammarion - \'edition. -\newblock Ouvrage remarquable qui interroge sur l'unification des syst{\`e}mes - d'unit{\'e}s. - -\bibitem[Balibar \emph{et~al.}, 2005]{FB05} -\bgroup\fonteauteurs\bgroup Balibar\egroup\egroup{}, F., - \bgroup\fonteauteurs\bgroup L{\'e}vi-Leblond\egroup\egroup{}, J.-M. et - \bgroup\fonteauteurs\bgroup Lehoucq\egroup\egroup{}, R. (2005). -\newblock {\em Qu'est-ce que la mati{\`e}re}. -\newblock Le pommier/Cit{\'e} des sciences et de l'industrie, Paris. -\newblock Petit ouvrage d'une clart{\'e} extraordinaire. - -\bibitem[Biarnais, 1985]{BM85} -\bgroup\fonteauteurs\bgroup Biarnais\egroup\egroup{}, M.-F. (1985). -\newblock {\em isaac newton, principia mathematica}. -\newblock Christian Bourgois. - -\bibitem[Casoli et Encrenaz, 2005]{FC05} -\bgroup\fonteauteurs\bgroup Casoli\egroup\egroup{}, F. et - \bgroup\fonteauteurs\bgroup Encrenaz\egroup\egroup{}, T. (2005). -\newblock {\em Plan{\`e}tes extrasolaires}. -\newblock Belin Pour la science. - -\bibitem[Delambre, 1821]{JJD21} -\bgroup\fonteauteurs\bgroup Delambre\egroup\egroup{}, J.-B.~J. (1821). -\newblock {\em Histoire de l'astronomie moderne}. -\newblock Courcier, Paris. -\newblock Ce livre est publi{\'e} par google book {\`a} l'adresse - http://books.google.ch sous ``Histoire de l'astronomie moderne''. Il existe - aussi son pendant ``Histoire de l'astronomie ancienne''. - -\bibitem[Galilei, 1992]{GG92} -\bgroup\fonteauteurs\bgroup Galilei\egroup\egroup{}, G. (1992). -\newblock {\em Dialogue sur les deux grands syst{\`e}mes du monde}. -\newblock Seuil Points Sciences. - -\bibitem[Gould, 2005]{GSJ05} -\bgroup\fonteauteurs\bgroup Gould\egroup\egroup{}, S.~J. (2005). -\newblock {\em Le renard et le h{\'e}risson}. -\newblock Seuil, science ouverte, harmony books, new york, 2003 \'edition. - -\bibitem[Gruber, 1988]{GC88} -\bgroup\fonteauteurs\bgroup Gruber\egroup\egroup{}, C. (1988). -\newblock {\em M{\'e}canique g{\'e}n{\'e}rale}. -\newblock Presses polytechniques romandes, CH-1015 Lausanne, premi{\`e}re - \'edition. -\newblock Ouvrage tr{\`e}s complet mais tr{\`e}s math{\'e}matique. - -\bibitem[Gu{\'e}rin, 2004]{OG04} -\bgroup\fonteauteurs\bgroup Gu{\'e}rin\egroup\egroup{}, O. (2004). -\newblock {\em Tout savoir sur les mar{\'e}es}. -\newblock {\'E}ditions Ouest-France. -\newblock Excellent ouvrage qui d{\'e}compose l'analyse du ph{\'e}nom{\`e}ne - des mar{\'e}es en diff{\'e}rents rythmes. Cela permet une tr{\`e}s grande - clart{\'e} dans l'explication astronomique et essentiellement newtonienne - (m{\^e}me si les mar{\'e}es c{\^o}ti{\`e}res sont abord{\'e}es). - -\bibitem[Hawking, 2003]{SH03} -\bgroup\fonteauteurs\bgroup Hawking\egroup\egroup{}, S. (2003). -\newblock {\em Sur les {\'e}paules des g{\'e}ants}. -\newblock Dunod, Paris. - -\bibitem[L{\'e}vy-Leblond, 1996]{JL96} -\bgroup\fonteauteurs\bgroup L{\'e}vy-Leblond\egroup\egroup{}, J.-M. (1996). -\newblock {\em Aux contraires L'exercice de la pens{\'e}e et la pratique de la - science}. -\newblock Gallimard nrf essais. - -\bibitem[L{\'e}vy-Leblond, 2006]{JL06} -\bgroup\fonteauteurs\bgroup L{\'e}vy-Leblond\egroup\egroup{}, J.-M. (2006). -\newblock {\em De la mati{\`e}re relativiste quantique interactive}. -\newblock Traces {\'e}crites, {\'E}dition du Seuil. - -\bibitem[Lhomme, 2004]{LJ04} -\bgroup\fonteauteurs\bgroup Lhomme\egroup\egroup{}, J.-C. (2004). -\newblock {\em Les {\'e}nergies renouvelables}. -\newblock Delachaux et Niestl{\'e}, r{\'e}impression 2005, second tirage - \'edition. - -\bibitem[Lindemann, 1999]{EL99} -\bgroup\fonteauteurs\bgroup Lindemann\egroup\egroup{}, E. (1999). -\newblock {\em M{\'e}canique}. -\newblock DeBoeck Universit{\'e}. - -\bibitem[Nollert et Ruder, 2008]{HNHR08} -\bgroup\fonteauteurs\bgroup Nollert\egroup\egroup{}, H.-P. et - \bgroup\fonteauteurs\bgroup Ruder\egroup\egroup{}, H. (2008). -\newblock {\em Carnets de voyages relativistes. De la terre vers un trou noir.} -\newblock Belin, Pour la science. - -\bibitem[Ollivier, 2006]{OP06} -\bgroup\fonteauteurs\bgroup Ollivier\egroup\egroup{}, P. (2006). -\newblock {\em {\'E}oliennes, quand le vent nous {\'e}claire}. -\newblock Privat. - -\bibitem[Reeves et Lenoir, 2003]{HRaFL03} -\bgroup\fonteauteurs\bgroup Reeves\egroup\egroup{}, H. et - \bgroup\fonteauteurs\bgroup Lenoir\egroup\egroup{}, F. (2003). -\newblock {\em Mal de Terre}. -\newblock {\'E}dition du Seuil, Paris. - -\bibitem[Robredo, 2007]{JR07} -\bgroup\fonteauteurs\bgroup Robredo\egroup\egroup{}, J.-F. (2007). -\newblock Comment l'univers {\`a} perdu tout point fixe. -\newblock {\em Ciel et Espace}, Juin 2007. - -\bibitem[Rocchi, 2000]{JR00} -\bgroup\fonteauteurs\bgroup Rocchi\egroup\egroup{}, J. (2000). -\newblock {\em Giordano Bruno apr{\`e}s le b{\^u}cher}. -\newblock Complexe. -\newblock Un ouvrage fantastique qui remet Galil{\'e}e {\`a} sa juste place. - -\bibitem[Simaan, 2002]{AS02} -\bgroup\fonteauteurs\bgroup Simaan\egroup\egroup{}, A. (2002). -\newblock Sur l'exp{\'e}rience d'{\'e}rathost{\`e}ne. -\newblock {\em Bulletin de l'Union des physiciens}, 96\string:\penalty500\relax - 1193--1196. -\newblock Suite {\`a} l'article ``Histoire des sciences : une exp{\'e}rience - p{\'e}dagogique en seconde'', BUP No 843, avril 2002. - -\bibitem[Simaan, 2006]{AS06} -\bgroup\fonteauteurs\bgroup Simaan\egroup\egroup{}, A. (2006). -\newblock {\em La science au p{\'e}ril de sa vie ; les aventuriers de la mesure - du monde}. -\newblock Vuibert / Adapt. - -\bibitem[Simon, 2007]{BS07} -\bgroup\fonteauteurs\bgroup Simon\egroup\egroup{}, B. (2007). -\newblock {\em La mar{\'e}e La mar{\'e}e oc{\'e}anique c{\^o}ti{\`e}re}. -\newblock Institut oc{\'e}anographique, Paris-Monaco. -\newblock Ouvrage tr{\`e}s complet et tr{\`e}s math{\'e}matique d'analyse du - ph{\'e}nom{\`e}ne de mar{\'e}e. La description statique de Newton est - donn{\'e}e en terme de changement de r{\'e}f{\'e}rentiel non intertiel et en - language vectoriel. Mais la construction de Procor y est tr{\`e}s - pr{\'e}cis{\'e}ment justifi{\'e}e, ce qui est un grand m{\'e}rite. La - description dynamique constitue le principal de l'ouvrage et se fonde sur - l'analyse de Laplace. C'est un ouvrage qui nous place au coeur m{\^e}me des - mod{\`e}les math{\'e}matiques n{\'e}cessaires pour pr{\'e}voir les - mar{\'e}es. - -\bibitem[Vauclair, 2006]{SV06} -\bgroup\fonteauteurs\bgroup Vauclair\egroup\egroup{}, S. (2006). -\newblock {\em La naissance des {\'e}l{\'e}ments. Du big bang {\`a} la Terre.} -\newblock Odile Jacob, Paris. - \end{thebibliography} diff --git a/CoursMecaniqueOSDF.blg b/CoursMecaniqueOSDF.blg index f26f88d..7b4db8d 100644 --- a/CoursMecaniqueOSDF.blg +++ b/CoursMecaniqueOSDF.blg @@ -1,12 +1,17 @@ -This is BibTeX, Version 0.99d (TeX Live 2012/Debian) -Capacity: max_strings=35307, hash_size=35307, hash_prime=30011 +This is BibTeX, Version 0.99d (TeX Live 2016/Debian) +Capacity: max_strings=100000, hash_size=100000, hash_prime=85009 The top-level auxiliary file: CoursMecaniqueOSDF.aux A level-1 auxiliary file: Prefaces/Prefaces.aux A level-1 auxiliary file: Introduction/Introduction.aux A level-1 auxiliary file: Cinematique/Cinematique.aux A level-1 auxiliary file: Dynamique/Dynamique.aux +A level-1 auxiliary file: MecaniqueDim/MecaniqueDim.aux +A level-1 auxiliary file: MecaniqueDifferentielle/MecaniqueDifferentielle.aux +A level-1 auxiliary file: QtiteMvt/QtiteMvt.aux A level-1 auxiliary file: Energie/Energie.aux +A level-1 auxiliary file: EnergieOS/EnergieOS.aux A level-1 auxiliary file: Thermodynamique/Thermodynamique.aux +A level-1 auxiliary file: ThermodynamiqueOS/ThermodynamiqueOS.aux A level-1 auxiliary file: Annexe-UnitesInternationales/Annexe-UnitesInternationales.aux A level-1 auxiliary file: Annexe-SystemeCoordonnees/Annexe-SystemeCoordonnees.aux A level-1 auxiliary file: Annexe-MesuresDistances/Annexe-MesuresDistances.aux @@ -19,50 +24,76 @@ A level-1 auxiliary file: Annexe-Relativite/Annexe-Relativite.aux A level-1 auxiliary file: Annexe-Maree/Annexe-Maree.aux A level-1 auxiliary file: Annexe-Energies/Annexe-Energies.aux A level-1 auxiliary file: Annexe-Exercices/Annexe-Exercices.aux +A level-1 auxiliary file: Annexe-Incertitudes/Annexe-Incertitudes.aux The style file: apalike-fr.bst -Database file #1: ../Bibliographies/BiblioCours.bib -Warning--can't use both author and editor fields in GC88 -Warning--can't use both author and editor fields in OP06 -Warning--can't use both author and editor fields in JR00 -You've used 23 entries, +I couldn't open database file ../Bibliographies/BiblioCours.bib +---line 35 of file CoursMecaniqueOSDF.aux + : \bibdata{../Bibliographies/BiblioCours + : } +I'm skipping whatever remains of this command +I found no database files---while reading file CoursMecaniqueOSDF.aux +Warning--I didn't find a database entry for "HNHR08" +Warning--I didn't find a database entry for "JR00" +Warning--I didn't find a database entry for "FC05" +Warning--I didn't find a database entry for "SV06" +Warning--I didn't find a database entry for "FB05" +Warning--I didn't find a database entry for "JL06" +Warning--I didn't find a database entry for "SH03" +Warning--I didn't find a database entry for "EL99" +Warning--I didn't find a database entry for "GSJ05" +Warning--I didn't find a database entry for "BM85" +Warning--I didn't find a database entry for "OG04" +Warning--I didn't find a database entry for "BS07" +Warning--I didn't find a database entry for "GC88" +Warning--I didn't find a database entry for "LJ04" +Warning--I didn't find a database entry for "HRaFL03" +Warning--I didn't find a database entry for "OP06" +Warning--I didn't find a database entry for "AK05" +Warning--I didn't find a database entry for "AS06" +Warning--I didn't find a database entry for "AS02" +Warning--I didn't find a database entry for "JJD21" +Warning--I didn't find a database entry for "JL96" +Warning--I didn't find a database entry for "GG92" +Warning--I didn't find a database entry for "JR07" +You've used 0 entries, 2038 wiz_defined-function locations, - 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z5RKOm9c~k>47-sY8P87|R)s-A$#~O|rYg-t+!jCE`IG|fH{yx_+)`0ly6`c`Fu3f! zcHr+yf90pPPrjbr@-m)PsdOy0fA`hDZP(}KDqGt+SMGC}@ydN3Vp%yFFMV09ZCV-H p{m-R=%6b&Y|J4(xPL1zfIT#PVQmuXe_Da~-xuL&ny8W8{`wy3WqwW9z diff --git a/CoursMecaniqueOSDF.idx b/CoursMecaniqueOSDF.idx index 8eb7ef5..529d2de 100644 --- a/CoursMecaniqueOSDF.idx +++ b/CoursMecaniqueOSDF.idx @@ -146,8 +146,8 @@ \indexentry{bore}{33} \indexentry{atome}{33} \indexentry{trajectoire}{33} +\indexentry{particule}{33} \indexentry{particule!\IeC {\'e}l\IeC {\'e}mentaire}{34} -\indexentry{particule}{34} \indexentry{onde}{34} \indexentry{particule!\IeC {\'e}l\IeC {\'e}mentaire}{34} \indexentry{electron@\IeC {\'e}lectron}{34} @@ -270,8 +270,8 @@ \indexentry{graphe horaire}{43} \indexentry{temps}{43} \indexentry{vitesse}{43} -\indexentry{mouvement!rectiligne!uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}}{44} -\indexentry{acc\IeC {\'e}l\IeC {\'e}ration!terrestre}{44} +\indexentry{mouvement!rectiligne!uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}}{43} +\indexentry{acc\IeC {\'e}l\IeC {\'e}ration!terrestre}{43} \indexentry{parabole}{44} \indexentry{MRUA}{44} \indexentry{chute libre}{44} @@ -282,7 +282,7 @@ \indexentry{frottement}{44} \indexentry{MRU}{44} \indexentry{MRUA}{44} -\indexentry{pont du Gard}{45} +\indexentry{pont du Gard}{44} \indexentry{acc\IeC {\'e}l\IeC {\'e}ration!terrestre}{45} \indexentry{pont du Gard}{45} \indexentry{MRU}{45} @@ -306,7 +306,7 @@ \indexentry{acc\IeC {\'e}l\IeC {\'e}ration}{46} \indexentry{balistique}{46} \indexentry{MRUA}{46} -\indexentry{periode@p\IeC {\'e}riode!de rotation}{47} +\indexentry{periode@p\IeC {\'e}riode!de rotation}{46} \indexentry{acc\IeC {\'e}l\IeC {\'e}ration}{47} \indexentry{balistique}{47} \indexentry{courbure}{47} @@ -341,6 +341,9 @@ \indexentry{mouvement!uniforme}{48} \indexentry{mouvement!acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}}{48} \indexentry{mouvement!balistique}{48} +\indexentry{Kepler}{48} +\indexentry{Brahe@Brah\IeC {\'e} Tycho}{48} +\indexentry{orbite!de mars}{48} \indexentry{Kepler}{49} \indexentry{Brahe@Brah\IeC {\'e} Tycho}{49} \indexentry{Kepler!Johanes}{49} @@ -354,9 +357,6 @@ \indexentry{satellite!de jupiter}{49} \indexentry{comete@com\IeC {\`e}te}{49} \indexentry{sphere@sph\IeC {\`e}re!cristalline}{49} -\indexentry{Kepler}{49} -\indexentry{Brahe@Brah\IeC {\'e} Tycho}{49} -\indexentry{orbite!de mars}{49} \indexentry{orbite!elliptique}{49} \indexentry{Kepler!premi\IeC {\`e}re loi}{49} \indexentry{orbite!elliptique}{49} @@ -877,10 +877,10 @@ \indexentry{pc}{159} \indexentry{multiple}{160} \indexentry{sous-multiple}{160} -\indexentry{notation!scientifique}{160} -\indexentry{notation!d'ing\IeC {\'e}nieur}{160} -\indexentry{notation!scientifique}{160} -\indexentry{notation!d'ing\IeC {\'e}nieur}{160} +\indexentry{notationsci@notation!scientifique}{160} +\indexentry{notationing@notation!d'ing\IeC {\'e}nieur}{160} +\indexentry{notationsci@notation!scientifique}{160} +\indexentry{notationing@notation!d'ing\IeC {\'e}nieur}{160} \indexentry{EXP}{160} \indexentry{EE}{160} \indexentry{syst\IeC {\`e}me!de coordonn\IeC {\'e}es circulaires}{163} @@ -1087,88 +1087,92 @@ \indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{192} \indexentry{pseudo-force}{192} \indexentry{force!de gravitation}{192} -\indexentry{courbure de l'espace}{193} -\indexentry{maree@mar\IeC {\'e}e}{195} -\indexentry{zenith@z\IeC {\'e}nith}{195} -\indexentry{centre de gravit\IeC {\'e}}{195} -\indexentry{force!d'inertie}{195} -\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{195} -\indexentry{pseudo-force!centrifuge}{195} +\indexentry{courbure de l'espace}{192} +\indexentry{maree@mar\IeC {\'e}e}{193} +\indexentry{zenith@z\IeC {\'e}nith}{193} +\indexentry{centre de gravit\IeC {\'e}}{193} +\indexentry{force!d'inertie}{193} +\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{193} +\indexentry{pseudo-force!centrifuge}{193} +\indexentry{poids!relatif}{193} +\indexentry{centre de gravit\IeC {\'e}}{193} +\indexentry{mouvement!circulaire uniforme}{194} +\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{194} +\indexentry{vitesse!lin\IeC {\'e}aire}{194} +\indexentry{vitesse!angulaire}{194} +\indexentry{vitesse!angulaire}{194} +\indexentry{force!d'inertie}{194} \indexentry{poids!relatif}{195} -\indexentry{centre de gravit\IeC {\'e}}{195} -\indexentry{mouvement!circulaire uniforme}{196} -\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{196} -\indexentry{vitesse!lin\IeC {\'e}aire}{196} -\indexentry{vitesse!angulaire}{196} -\indexentry{vitesse!angulaire}{196} -\indexentry{force!d'inertie}{196} -\indexentry{poids!relatif}{197} -\indexentry{force!d'inertie}{197} -\indexentry{balance}{197} -\indexentry{force!de mar\IeC {\'e}e}{197} -\indexentry{pleine mer}{197} -\indexentry{basse mer}{197} -\indexentry{pleine mer}{198} -\indexentry{basse mer}{198} -\indexentry{zenith@z\IeC {\'e}nith}{198} -\indexentry{maree@mar\IeC {\'e}e!de vives et mortes eaux}{198} -\indexentry{marnage}{198} -\indexentry{vive eau}{198} -\indexentry{morte eau}{198} -\indexentry{nouvelle lune}{198} -\indexentry{pleine lune}{198} -\indexentry{maree@mar\IeC {\'e}e!d'\IeC {\'e}quinoxe}{198} -\indexentry{solstice}{198} -\indexentry{equinoxe@\IeC {\'e}quinoxe}{198} -\indexentry{ecliptique@\IeC {\'e}cliptique}{198} -\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rig\IeC {\'e}e}{199} -\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rih\IeC {\'e}lie}{199} -\indexentry{ellipse}{199} -\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{199} -\indexentry{apogee@apog\IeC {\'e}e}{199} -\indexentry{ellipse}{199} -\indexentry{perihelie@p\IeC {\'e}rih\IeC {\'e}lie}{199} -\indexentry{aphelie@aph\IeC {\'e}lie}{199} -\indexentry{maree@mar\IeC {\'e}e!de d\IeC {\'e}clinaison}{199} -\indexentry{ecliptique@\IeC {\'e}cliptique}{199} -\indexentry{maree@mar\IeC {\'e}e!c\IeC {\^o}ti\IeC {\`e}re}{199} -\indexentry{limite de Roche}{199} -\indexentry{croute terrestre}{199} -\indexentry{Io}{199} -\indexentry{volcanisme}{199} -\indexentry{anneau d'ast\IeC {\'e}ro\IeC {\"\i }des}{200} -\indexentry{Saturne}{200} -\indexentry{energie@\IeC {\'e}nergie!hydraulique}{203} +\indexentry{force!d'inertie}{195} +\indexentry{balance}{195} +\indexentry{force!de mar\IeC {\'e}e}{195} +\indexentry{pleine mer}{195} +\indexentry{basse mer}{195} +\indexentry{pleine mer}{196} +\indexentry{basse mer}{196} +\indexentry{zenith@z\IeC {\'e}nith}{196} +\indexentry{maree@mar\IeC {\'e}e!de vives et mortes eaux}{196} +\indexentry{marnage}{196} +\indexentry{vive eau}{196} +\indexentry{morte eau}{196} +\indexentry{nouvelle lune}{196} +\indexentry{pleine lune}{196} +\indexentry{maree@mar\IeC {\'e}e!d'\IeC {\'e}quinoxe}{196} +\indexentry{solstice}{196} +\indexentry{equinoxe@\IeC {\'e}quinoxe}{196} +\indexentry{ecliptique@\IeC {\'e}cliptique}{196} +\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rig\IeC {\'e}e}{197} +\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rih\IeC {\'e}lie}{197} +\indexentry{ellipse}{197} +\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{197} +\indexentry{apogee@apog\IeC {\'e}e}{197} +\indexentry{ellipse}{197} +\indexentry{perihelie@p\IeC {\'e}rih\IeC {\'e}lie}{197} +\indexentry{aphelie@aph\IeC {\'e}lie}{197} +\indexentry{maree@mar\IeC {\'e}e!de d\IeC {\'e}clinaison}{197} +\indexentry{ecliptique@\IeC {\'e}cliptique}{197} +\indexentry{maree@mar\IeC {\'e}e!c\IeC {\^o}ti\IeC {\`e}re}{197} +\indexentry{limite de Roche}{197} +\indexentry{croute terrestre}{197} +\indexentry{Io}{197} +\indexentry{volcanisme}{197} +\indexentry{anneau d'ast\IeC {\'e}ro\IeC {\"\i }des}{198} +\indexentry{Saturne}{198} +\indexentry{energie@\IeC {\'e}nergie!hydraulique}{201} +\indexentry{barrage}{201} +\indexentry{turbine}{201} +\indexentry{conduite forcee@conduite forc\IeC {\'e}e}{201} +\indexentry{debit@d\IeC {\'e}bit!am\IeC {\'e}nag\IeC {\'e}}{201} +\indexentry{debit@d\IeC {\'e}bit!de restitution}{201} +\indexentry{puissance!install\IeC {\'e}e}{201} +\indexentry{regle de Betz@r\IeC {\`e}gle de Betz}{202} +\indexentry{eolienne@\IeC {\'e}olienne}{202} +\indexentry{pale}{202} +\indexentry{limite de Betz}{203} +\indexentry{eolienne@\IeC {\'e}olienne}{203} +\indexentry{mat@m\IeC {\^a}t}{203} +\indexentry{pale}{203} +\indexentry{limite de Betz}{203} \indexentry{barrage}{203} -\indexentry{turbine}{203} -\indexentry{conduite forcee@conduite forc\IeC {\'e}e}{203} -\indexentry{debit@d\IeC {\'e}bit!am\IeC {\'e}nag\IeC {\'e}}{203} -\indexentry{debit@d\IeC {\'e}bit!de restitution}{203} -\indexentry{puissance!install\IeC {\'e}e}{203} -\indexentry{regle de Betz@r\IeC {\`e}gle de Betz}{204} -\indexentry{eolienne@\IeC {\'e}olienne}{204} -\indexentry{pale}{204} -\indexentry{limite de Betz}{205} -\indexentry{eolienne@\IeC {\'e}olienne}{205} -\indexentry{mat@m\IeC {\^a}t}{205} -\indexentry{pale}{205} -\indexentry{limite de Betz}{205} -\indexentry{barrage}{205} -\indexentry{eolienne@\IeC {\'e}olienne}{205} -\indexentry{mat@m\IeC {\^a}t}{205} -\indexentry{pale}{205} -\indexentry{barrage}{205} -\indexentry{geothermie@g\IeC {\'e}othermie}{205} -\indexentry{forage}{206} -\indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{206} -\indexentry{barrage}{206} -\indexentry{Alpha du Centaure}{207} -\indexentry{parsec}{207} -\indexentry{Alexandrie}{207} -\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{207} -\indexentry{zenith@z\IeC {\'e}nith}{207} -\indexentry{rayon de la Terre}{207} -\indexentry{proc\IeC {\'e}dure}{210} -\indexentry{Atwood}{211} -\indexentry{Atwood}{212} -\indexentry{erreur syst\IeC {\'e}matique}{242} +\indexentry{eolienne@\IeC {\'e}olienne}{203} +\indexentry{mat@m\IeC {\^a}t}{203} +\indexentry{pale}{203} +\indexentry{barrage}{203} +\indexentry{geothermie@g\IeC {\'e}othermie}{203} +\indexentry{forage}{204} +\indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{204} +\indexentry{barrage}{204} +\indexentry{Alpha du Centaure}{205} +\indexentry{parsec}{205} +\indexentry{Alexandrie}{205} +\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{205} +\indexentry{zenith@z\IeC {\'e}nith}{205} +\indexentry{rayon de la Terre}{205} +\indexentry{proc\IeC {\'e}dure}{208} +\indexentry{Atwood}{209} +\indexentry{Atwood}{210} +\indexentry{chiffres significatifs}{239} +\indexentry{notationsci@notation!scientifique}{240} +\indexentry{ordre de grandeur}{240} +\indexentry{notationing@notation!d'ing\IeC {\'e}nieur}{240} +\indexentry{erreur syst\IeC {\'e}matique}{240} diff --git a/CoursMecaniqueOSDF.ilg b/CoursMecaniqueOSDF.ilg index 0b9c5cd..e205316 100644 --- a/CoursMecaniqueOSDF.ilg +++ b/CoursMecaniqueOSDF.ilg @@ -1,7 +1,7 @@ -This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). -Scanning style file ../Perso.ist...done (3 attributes redefined, 0 ignored). -Scanning input file CoursMecaniqueOSDF.idx.....done (1072 entries accepted, 0 rejected). -Sorting entries...........done (11638 comparisons). -Generating output file CoursMecaniqueOSDF.ind....done (775 lines written, 0 warnings). +This is makeindex, version 2.15 [TeX Live 2016] (kpathsea + Thai support). +Scanning style file ./Perso.ist...done (3 attributes redefined, 0 ignored). +Scanning input file CoursMecaniqueOSDF.idx.....done (1178 entries accepted, 0 rejected). +Sorting entries............done (13078 comparisons). +Generating output file CoursMecaniqueOSDF.ind.....done (833 lines written, 0 warnings). Output written in CoursMecaniqueOSDF.ind. Transcript written in CoursMecaniqueOSDF.ilg. diff --git a/CoursMecaniqueOSDF.ind b/CoursMecaniqueOSDF.ind index 2cecc7b..cea9921 100644 --- a/CoursMecaniqueOSDF.ind +++ b/CoursMecaniqueOSDF.ind @@ -1,775 +1,833 @@ \begin{theindex} +{\bfseries{Symbols}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak + + \item \IeC {\'e}nergie, 119, 121 + \item \IeC {\'e}nergie cin\IeC {\'e}tique, 121, 122 + \item \IeC {\'e}nergie m\IeC {\'e}canique, 122, 123 + \item \IeC {\'e}nergie potentielle, 121, 122, 124 + \item \IeC {\'e}quation d'\IeC {\'e}tat, 139 + \item \IeC {\'e}vaporation, 137 + + \indexspace {\bfseries{A}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item absolu, 17 - \item abstract, 108 - \item acc\IeC {\'e}l\IeC {\'e}ration, 35, 38, 42, 44, 51, 54, 55, 114 - \subitem instantan\IeC {\'e}e, 35 - \subitem moyenne, 35 - \subitem terrestre, 39, 41 + \item absolu, 21 + \item abstract, 172 + \item acc\IeC {\'e}l\IeC {\'e}ration, 39, 42, 46--48, 58, 61, 82, 83, + 178 + \subitem instantan\IeC {\'e}e, 39 + \subitem moyenne, 39 + \subitem terrestre, 43, 45 \item acc\IeC {\'e}l\IeC {\'e}ration - \subitem centrip\IeC {\`e}te, 128, 130 - \item accident nucl\IeC {\'e}aire, 80 - \item action, 75 - \subitem \IeC {\`a} distance, 54 - \item activit\IeC {\'e}, 82 - \item agitation mol\IeC {\'e}culaire, 88 - \item air, 47 - \item Alexandrie, 101, 141 - \item allongement, 66 - \item Alpha du Centaure, 141 - \item alternateur, 74, 75 - \item altitude, 55, 123 - \item amas de galaxies, 18 - \item Androm\IeC {\`e}de, 19, 37 - \item ann\IeC {\'e}e, 23 - \item anneau d'ast\IeC {\'e}ro\IeC {\"\i }des, 134 - \item annexe, 108, 109 - \item antimati\IeC {\`e}re, 31 - \item apesanteur, 42, 58, 59 - \item aph\IeC {\'e}lie, 133 - \item apog\IeC {\'e}e, 24, 133 - \item Apollo, 36, 37, 104 - \item Aristote, 38, 41, 47--51 - \item Assouan, 101 - \item astrog\IeC {\'e}n\IeC {\`e}se, 28 - \item atome, 28, 29 - \subitem naturel, 28 - \item attraction, 37, 41, 43, 51, 54 - \item Atwood, 145 - \item axe de rotation, 22 - \item axiomes, 51 - \item azote, 29 + \subitem centrip\IeC {\`e}te, 192, 194 + \item accident nucl\IeC {\'e}aire, 113 + \item action, 107 + \subitem \IeC {\`a} distance, 60 + \item activit\IeC {\'e}, 115 + \item agitation mol\IeC {\'e}culaire, 128 + \item air, 53 + \item Alexandrie, 165, 205 + \item allongement, 73 + \item Alpha du Centaure, 205 + \item alternateur, 106, 107 + \item altitude, 62, 86, 187 + \item amas de galaxies, 22 + \item Androm\IeC {\`e}de, 23, 41, 42 + \item ann\IeC {\'e}e, 26 + \item anneau d'ast\IeC {\'e}ro\IeC {\"\i }des, 198 + \item annexe, 172, 173 + \item antimati\IeC {\`e}re, 36 + \item apesanteur, 47, 64, 65 + \item aph\IeC {\'e}lie, 197 + \item apog\IeC {\'e}e, 28, 197 + \item Apollo, 40, 41, 168 + \item Arbeit, 120 + \item Aristote, 42, 45, 53--57 + \item Assouan, 165 + \item astrog\IeC {\'e}n\IeC {\`e}se, 32 + \item atome, 32, 33 + \subitem naturel, 32 + \item attraction, 41, 45, 47, 57, 60 + \item Atwood, 209, 210 + \item axe de rotation, 26 + \item axiomes, 57 + \item azote, 33 \indexspace {\bfseries{B}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item balance, 56, 131 - \item balistique, 40--42, 113 - \item balle, 40 - \item barrage, 74, 137, 139, 140 - \item barre de contr\IeC {\^o}le, 81, 83 - \item basse mer, 131, 132 - \item b\IeC {\'e}ryllium, 29 - \item Bessel, 106 - \item Betz, 77 - \item big bang, 19, 28 - \item boiler, 78 - \item bombes \IeC {\`a} hydrog\IeC {\`e}ne, 83 - \item bore, 29 - \item boson, 31 - \item Brah\IeC {\'e} Tycho, 44, 45 - \item Bruno Giordano, 19, 125--127 - \item but du travail pratique, 108 + \item balance, 62, 195 + \item balistique, 44, 46, 47, 177 + \item balle, 44 + \item barrage, 106, 201, 203, 204 + \item barre de contr\IeC {\^o}le, 114, 115 + \item basse mer, 195, 196 + \item Beau de Rochas, 151 + \item b\IeC {\'e}ryllium, 33 + \item Bessel, 170 + \item Betz, 109 + \item big bang, 23, 33 + \item boiler, 110 + \item bombes \IeC {\`a} hydrog\IeC {\`e}ne, 116 + \item bore, 33 + \item boson, 35 + \item Brah\IeC {\'e} Tycho, 48, 49 + \item Bruno Giordano, 23, 189--191 + \item but du travail pratique, 172 \indexspace {\bfseries{C}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item canon, 113 - \item capsule, 37 - \item carbone, 29 - \item Carnot Nicolas L\IeC {\'e}onard, 91 + \item canon, 177 + \item capacit\IeC {\'e} thermique, 136 + \item capsule, 41 + \item carbone, 33 + \item Carnot Nicolas L\IeC {\'e}onard, 131 \item carr\IeC {\'e} - \subitem de la distance, 54 - \subitem du temps, 39 - \item cart\IeC {\'e}sien, 33 - \item Cassini, 104, 105 + \subitem de la distance, 60 + \subitem du temps, 43 + \item cart\IeC {\'e}sien, 37 + \item Cassini, 168, 169 \item cause - \subitem du changement du mouvement, 53 - \subitem du mouvement, 51, 53 + \subitem du changement du mouvement, 60 + \subitem du mouvement, 58, 59 + \item cause du mouvement, 119 \item ceinture - \subitem d'ast\IeC {\'e}ro\IeC {\"\i }de, 21 - \subitem de Kuiper, 21 - \item Celsius, 87 + \subitem d'ast\IeC {\'e}ro\IeC {\"\i }de, 25 + \subitem de Kuiper, 25 + \item Celsius, 127 \item centre - \subitem de l'univers, 48 - \subitem de la terre, 48 - \item centre de gravit\IeC {\'e}, 62, 129 - \item centrifuge, 58 - \item centrip\IeC {\`e}te, 58 - \item chaleur, 73, 87, 89, 90 - \subitem latente, 89, 90 - \subitem sp\IeC {\'e}cifique, 89 + \subitem de l'univers, 54 + \subitem de la terre, 54 + \item centre de gravit\IeC {\'e}, 69, 193 + \item centrifuge, 64, 84 + \item centrip\IeC {\`e}te, 64, 84 + \item chaleur, 105, 121, 127, 129, 130 + \subitem latente, 129, 130 + \subitem sp\IeC {\'e}cifique, 129 + \item chaleur latente, 137 \item champ - \subitem de gravitation, 127 - \item chauffage, 78 - \subitem urbain, 80 - \item cheval vapeur, 70 - \item choc galactique, 19 - \item chute libre, 3, 38, 40, 41, 54, 113 - \item cin\IeC {\'e}ma, 33 - \item cin\IeC {\'e}matique, 32, 33, 48 - \subitem d'Aristote, 48 - \item cin\IeC {\'e}matique, 128 - \item cinq \IeC {\'e}l\IeC {\'e}ments, 48 + \subitem de gravitation, 192 + \item chauffage, 110 + \subitem urbain, 112 + \item chemin, 124 + \item cheval vapeur, 102 + \item chiffres significatifs, 239 + \item choc galactique, 23 + \item chute libre, 3, 42, 44--46, 61, 177 + \item cin\IeC {\'e}ma, 37 + \item cin\IeC {\'e}matique, 36, 37, 54, 82 + \subitem d'Aristote, 54 + \item cin\IeC {\'e}matique, 192 + \item cinq \IeC {\'e}l\IeC {\'e}ments, 54 \item circonf\IeC {\'e}rence - \subitem de la Terre, 60 - \subitem de la terre, 101, 103 - \item circulaire, 33 - \item clart\IeC {\'e}, 107, 112 - \item Cl\IeC {\'e}om\IeC {\`e}de, 101 + \subitem de la Terre, 66 + \subitem de la terre, 165, 167 + \item circulaire, 37 + \item clart\IeC {\'e}, 171, 176 + \item Cl\IeC {\'e}om\IeC {\`e}de, 165 \item c\oe fficient de frottement - \subitem cin\IeC {\'e}tique, 65 - \subitem statique, 65 - \item colatitude, 100 - \item com\IeC {\`e}te, 22 + \subitem cin\IeC {\'e}tique, 72 + \subitem statique, 72 + \item colatitude, 164 + \item com\IeC {\`e}te, 26 \item combustion - \subitem des ordures, 78 - \subitem du m\IeC {\'e}thane, 84 - \item com\IeC {\`e}te, 45 - \item concision, 107 - \item conclusion du travail pratique, 110 - \item conduction, 77 - \item conduite forc\IeC {\'e}e, 137 - \item conservation de l'\IeC {\'e}nergie, 72 - \item constante de la gravitation universelle, 54 + \subitem des ordures, 110 + \subitem du m\IeC {\'e}thane, 116 + \item com\IeC {\`e}te, 49 + \item concision, 171 + \item conclusion du travail pratique, 174 + \item conduction, 110 + \item conduite forc\IeC {\'e}e, 201 + \item conservation, 119, 123 + \item conservation de l'\IeC {\'e}nergie, 104, 123, 124 + \item conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique, 123 + \item conservative, 124, 125 + \item constante de la gravitation universelle, 60 \item construction - \subitem de Proctor, 62, 63 - \item convection, 77 - \item conversion, 95 - \item coordonn\IeC {\'e}e, 18, 33, 99, 100 - \subitem circulaire, 43 - \subitem sph\IeC {\'e}riques, 99 + \subitem de Proctor, 68, 70 + \item convection, 110 + \item conversion, 159 + \item coordonn\IeC {\'e}e, 22, 37, 163, 164 + \subitem circulaire, 47 + \subitem sph\IeC {\'e}riques, 163 + \item coordonn\IeC {\'e}e circulaire, 82 \item corps - \subitem ponctuel, 54 - \subitem sph\IeC {\'e}rique, 54 - \item corpuscule, 31 - \item cosmologie, 18, 47 - \subitem aristot\IeC {\'e}licienne, 45 - \subitem de Platon, 48 - \item courbure, 41, 42 - \item courbure de l'espace, 125, 128 + \subitem ponctuel, 60 + \subitem sph\IeC {\'e}rique, 60 + \item corpuscule, 35 + \item cosmologie, 22, 53 + \subitem aristot\IeC {\'e}licienne, 49 + \subitem de Platon, 54 + \item courbure, 46, 47 + \item courbure de l'espace, 189, 192 \item crat\IeC {\`e}re - \subitem lunaire, 45 - \item cristal, 66 - \item cristallin, 45 - \item cro\IeC {\^u}te terrestre, 80 - \item croute terrestre, 133 + \subitem lunaire, 49 + \item cristal, 72 + \item cristallin, 50 + \item cro\IeC {\^u}te terrestre, 112 + \item croute terrestre, 197 + \item cycle + \subitem d'Otto, 151 \indexspace {\bfseries{D}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item d\IeC {\'e}bit, 74 - \subitem am\IeC {\'e}nag\IeC {\'e}, 137 - \subitem de restitution, 137 - \item d\IeC {\'e}c\IeC {\'e}l\IeC {\'e}ration, 53 - \item d\IeC {\'e}chet radioactif, 82 - \item d\IeC {\'e}construction, 76 - \item d\IeC {\'e}faut de masse, 81 + \item d\IeC {\'e}bit, 106 + \subitem am\IeC {\'e}nag\IeC {\'e}, 201 + \subitem de restitution, 201 + \item d\IeC {\'e}c\IeC {\'e}l\IeC {\'e}ration, 60 + \item d\IeC {\'e}chet radioactif, 115 + \item d\IeC {\'e}construction, 108 + \item d\IeC {\'e}faut de masse, 113 \item degr\IeC {\'e} - \subitem Celsius, 87 - \subitem centigrade, 87 - \subitem Fahrenheit, 87 - \item Delambre, 102 - \item demi-grand axe, 44 - \item demi-vie, 82 - \item d\IeC {\'e}placement, 34 - \item d\IeC {\'e}riv\IeC {\'e}e, 35 - \item description de l'exp\IeC {\'e}rience, 108 - \item d\IeC {\'e}sint\IeC {\'e}gration, 29 - \item deut\IeC {\'e}rium, 28 - \item deuxi\IeC {\`e}me loi de Newton, 62 + \subitem Celsius, 127 + \subitem centigrade, 127 + \subitem Fahrenheit, 127 + \item degr\IeC {\'e} de libert\IeC {\'e}, 143 + \item Delambre, 166 + \item demi-grand axe, 49 + \item demi-vie, 115 + \item d\IeC {\'e}placement, 38 + \item d\IeC {\'e}riv\IeC {\'e}e, 39 + \item description de l'exp\IeC {\'e}rience, 172 + \item d\IeC {\'e}sint\IeC {\'e}gration, 33 + \item deut\IeC {\'e}rium, 33 + \item deuxi\IeC {\`e}me loi de Newton, 68 \item diam\IeC {\`e}tre - \subitem apparent, 102 - \item diam\IeC {\`e}tre apparent, 24 - \item dilatation du temps, 125 - \item dimension, 18, 33 - \item discussion, 110 - \item dissipation de l'\IeC {\'e}nergie, 73 + \subitem apparent, 166 + \item diam\IeC {\`e}tre apparent, 28 + \item dilatation du temps, 189 + \item dimension, 22, 37, 75 + \item discussion, 174 + \item dissipation de l'\IeC {\'e}nergie, 105 \item distance - \subitem de freinage, 65 - \subitem parcourue, 34 - \item dualit\IeC {\'e} onde corpuscule, 31 - \item dynamique, 33, 43, 48 - \subitem d'Aristote, 49 - \item dynamom\IeC {\`e}tre, 65 + \subitem de freinage, 72 + \subitem parcourue, 38 + \item dualit\IeC {\'e} onde corpuscule, 35 + \item dynamique, 37, 47, 54, 84 + \subitem d'Aristote, 55 + \item dynamom\IeC {\`e}tre, 71 \indexspace {\bfseries{E}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak \item eau - \subitem \IeC {\'e}l\IeC {\'e}ment, 47 - \subitem chaude sanitaire, 78, 79 - \item \IeC {\'e}cart, 109 - \item \IeC {\'e}clipse, 60 - \subitem annulaire, 25 - \subitem de Lune, 103 - \subitem de Soleil, 103 - \subitem lunaire, 25 - \subitem solaire, 25, 60 - \subitem totale, 25 - \item \IeC {\'e}cliptique, 22, 23, 25, 99, 101, 132, 133 - \item EE, 96 + \subitem \IeC {\'e}l\IeC {\'e}ment, 53 + \subitem chaude sanitaire, 110, 111 + \item \IeC {\'e}cart, 173 + \item \IeC {\'e}clipse, 66 + \subitem annulaire, 28 + \subitem de Lune, 167 + \subitem de Soleil, 167 + \subitem lunaire, 28 + \subitem solaire, 28, 66 + \subitem totale, 28 + \item \IeC {\'e}cliptique, 26--28, 163, 165, 196, 197 + \item EE, 160 \item effet - \subitem de serre, 84 - \subitem photo\IeC {\'e}lectrique, 77, 79 - \item Eiffel, 49 - \item Einstein, 43, 50, 125 - \item \IeC {\'e}lectron, 28, 29 - \item ellipse, 22, 42, 106, 133 - \item elliptique, 22 - \item \IeC {\'e}nergie, 69, 87, 114 - \subitem \IeC {\'e}olienne, 76 - \subitem cin\IeC {\'e}tique, 71, 74, 77, 90 - \subitem de combustion, 83 - \subsubitem des d\IeC {\'e}chets, 140 - \subitem grise, 77, 79 - \subitem hydraulique, 73, 137 - \subitem interne, 90 - \subitem m\IeC {\'e}canique, 72 - \subitem non renouvelable, 80 - \subitem potentielle, 70, 74, 90 - \subitem renouvelable, 73 - \subitem solaire, 77 - \subsubitem \IeC {\'e}lectrique, 79 - \subsubitem thermique, 77, 78 - \item \IeC {\'e}olienne, 138, 139 - \item \IeC {\'e}picycle, 116 - \item \IeC {\'e}quateur, 117 - \subitem terrestre, 115 - \item \IeC {\'e}quigravit\IeC {\'e}, 37 - \item \IeC {\'e}quinoxe, 132 - \item \IeC {\'E}ratosth\IeC {\`e}ne, 60, 101, 141 - \item erreur, 109 - \subitem syst\IeC {\'e}matique, 109 - \item espace courbe, 43 + \subitem de serre, 116 + \subitem photo\IeC {\'e}lectrique, 109, 111 + \item Eiffel, 55 + \item Einstein, 47, 57, 189 + \item \IeC {\'e}lectron, 33, 34 + \item ellipse, 26, 47, 170, 197 + \item elliptique, 26 + \item \IeC {\'e}nergie, 101, 127, 178 + \subitem \IeC {\'e}olienne, 108 + \subitem cin\IeC {\'e}tique, 103, 106, 109, 130 + \subitem de combustion, 116 + \subsubitem des d\IeC {\'e}chets, 204 + \subitem grise, 109, 112 + \subitem hydraulique, 106, 201 + \subitem interne, 130 + \subitem m\IeC {\'e}canique, 104 + \subitem non renouvelable, 113 + \subitem potentielle, 102, 106, 130 + \subitem renouvelable, 105 + \subitem solaire, 109 + \subsubitem \IeC {\'e}lectrique, 111 + \subsubitem thermique, 110, 111 + \item entropie, 154 + \item \IeC {\'e}olienne, 202, 203 + \item \IeC {\'e}picycle, 180 + \item \IeC {\'e}quateur, 181 + \subitem terrestre, 179 + \item \IeC {\'e}quigravit\IeC {\'e}, 41 + \item \IeC {\'e}quinoxe, 196 + \item \IeC {\'e}quipartition de l'\IeC {\'e}nergie, 143 + \item \IeC {\'E}ratosth\IeC {\`e}ne, 66, 165, 205 + \item erreur, 173 + \subitem syst\IeC {\'e}matique, 174 + \item erreur syst\IeC {\'e}matique, 240 + \item espace courbe, 47 \item \IeC {\'e}tat - \subitem de mouvement, 48 - \subitem de repos, 51 - \item \IeC {\'e}ther, 47 + \subitem de mouvement, 54 + \subitem de repos, 57 + \item \IeC {\'e}ther, 53 \item \IeC {\'E}toile - \subitem Polaire, 22 - \item \IeC {\'e}toile, 19, 20, 22 - \subitem \IeC {\`a} neutrons, 21, 111 - \subitem du matin, 22 - \subitem du soir, 22 - \subitem filante, 22 - \subitem nouvelle, 111 - \item Everest, 55 - \item excentricit\IeC {\'e}, 106 - \item exemple de calcul, 110 - \item exoplan\IeC {\`e}te, 21 - \item EXP, 96 - \item expansion, 18, 19, 37, 111 - \item extrados, 76 - \item extrasolaire, 21 + \subitem Polaire, 26 + \item \IeC {\'e}toile, 23, 24, 26 + \subitem \IeC {\`a} neutrons, 24, 175 + \subitem du matin, 26 + \subitem du soir, 26 + \subitem filante, 26 + \subitem nouvelle, 175 + \item Everest, 62 + \item excentricit\IeC {\'e}, 170 + \item exemple de calcul, 174 + \item exoplan\IeC {\`e}te, 24 + \item EXP, 160 + \item expansion, 22, 23, 41, 175 + \item extrados, 108 + \item extrasolaire, 24 \indexspace {\bfseries{F}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item Fahrenheit, 87 - \item fermion, 31 - \item feu, 47 - \item filaments, 111 - \item fioul, 83 - \item fission, 81, 82 - \item fluide caloriporteur, 78, 81 - \item forage, 80, 139 - \item force, 48, 50, 51, 58 - \subitem \IeC {\'e}lectrique, 28, 29, 54 - \subitem \IeC {\'e}lectromagn\IeC {\'e}tique, 53 - \subitem centrifuge, 57, 58, 62, 127, 128 - \subitem centrip\IeC {\`e}te, 57--59 - \subitem conservative, 71, 73 - \subitem d'inertie, 57, 62, 64, 127--131 - \subitem de frottement, 71 - \subitem de gravitation, 28, 42, 53, 55, 56, 128 - \subitem de mar\IeC {\'e}e, 131 - \subitem de r\IeC {\'e}action, 65 - \subitem dissipative, 71, 73 - \subitem ext\IeC {\'e}rieure, 51, 52 - \subitem faible, 53 - \subitem fictive, 57--59, 127, 128 - \subitem fondamentale, 31, 53 - \subitem forte, 28, 53, 81 - \subitem inertielle, 127 - \item foyer, 106 - \subitem d'une ellipse, 44 - \item freinage, 53 - \item frottement, 38, 40, 42, 50, 53, 65, 72 - \subitem sec, 65 - \item fusion, 29, 83, 87 + \item Fahrenheit, 127 + \item fermion, 35 + \item feu, 53 + \item filaments, 175 + \item fioul, 116 + \item fission, 113, 115 + \item fluide caloriporteur, 110, 114 + \item forage, 112, 204 + \item force, 54, 56--58, 64, 84 + \subitem \IeC {\'e}lectrique, 32, 33, 60 + \subitem \IeC {\'e}lectromagn\IeC {\'e}tique, 60 + \subitem centrifuge, 64, 65, 69, 191, 192 + \subitem centrip\IeC {\`e}te, 64, 65 + \subitem conservative, 103, 105 + \subitem d'inertie, 64, 69, 70, 191--195 + \subitem de frottement, 103 + \subitem de gravitation, 32, 47, 60, 61, 63, 192 + \subitem de mar\IeC {\'e}e, 195 + \subitem de r\IeC {\'e}action, 72 + \subitem dissipative, 103, 105 + \subitem ext\IeC {\'e}rieure, 58, 59 + \subitem faible, 60 + \subitem fictive, 64, 65, 192 + \subitem fondamentale, 35, 60 + \subitem forte, 32, 60, 113 + \subitem inertielle, 191 + \item force conservative, 124 + \item force de frottement, 121 + \item force non conservative, 124 + \item foyer, 170 + \subitem d'une ellipse, 49 + \item freinage, 60 + \item frottement, 42, 44, 47, 56, 59, 71, 105, 123, 124 + \subitem sec, 71 + \item fusion, 33, 115, 127, 137 \indexspace {\bfseries{G}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item galaxie, 19, 20, 37 - \item Galil\IeC {\'e}e, 39, 45, 49, 113, 125 - \item Galilei Galileo, 39 + \item g\IeC {\'e}ostationnaire, 86 + \item galaxie, 23, 24, 41 + \item Galil\IeC {\'e}e, 43, 49, 55, 177, 189 + \item Galilei Galileo, 43 \item gaz - \subitem \IeC {\`a} effet de serre, 76, 77, 80, 84 - \subitem carbonique, 84 - \subitem interstellaire, 29 - \subitem naturel, 78, 84 - \item g\IeC {\'e}ante rouge, 20, 21, 29 - \item g\IeC {\'e}ocentrique, 50 - \item g\IeC {\'e}ostationnaire, 58, 123 - \item g\IeC {\'e}othermie, 80, 139 - \item Giordano Bruno, 49, 50 - \item gnomon, 101 - \item grande ourse, 22 - \item grandeur, 111 - \item graphe horaire, 39, 112 - \item graphique, 109 - \item gravit\IeC {\'e}, 37 - \item gravitation, 3, 19, 37 - \subitem universelle, 43 - \item graviton, 31 + \subitem \IeC {\`a} effet de serre, 108, 110, 112, 116 + \subitem carbonique, 116 + \subitem interstellaire, 33 + \subitem naturel, 110, 116 + \item g\IeC {\'e}ante rouge, 24, 33 + \item g\IeC {\'e}ocentrique, 56 + \item g\IeC {\'e}ostationnaire, 64, 187 + \item g\IeC {\'e}othermie, 112, 203 + \item Giordano Bruno, 55, 56 + \item gnomon, 165 + \item grande ourse, 26 + \item grandeur, 175 + \item grandeur conserv\IeC {\'e}e, 119 + \item graphe horaire, 43, 176 + \item graphique, 173 + \item gravit\IeC {\'e}, 41 + \item gravitation, 3, 23, 41 + \subitem universelle, 47 + \item graviton, 36 \indexspace {\bfseries{H}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item Heisenberg, 30 - \item h\IeC {\'e}liocentrique, 50 - \item h\IeC {\'e}lium, 28 - \item h\IeC {\'e}misph\IeC {\`e}re, 23 - \item Hooke, 55 - \item Hooke Robert, 55 - \item hydrog\IeC {\`e}ne, 28 + \item Heisenberg, 35 + \item h\IeC {\'e}liocentrique, 56 + \item h\IeC {\'e}lium, 33 + \item h\IeC {\'e}misph\IeC {\`e}re, 27 + \item Hooke, 61 + \item Hooke Robert, 61 + \item hydrog\IeC {\`e}ne, 33 \indexspace {\bfseries{I}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item imminence de glissement, 65 - \item immobilit\IeC {\'e} de la terre, 116 - \item incertitude, 103, 109, 110, 112 - \item inertie, 49, 115--117 - \item infini, 19 - \item interaction fondamentale, 31 - \item interstellaire, 19 - \item intrados, 76 - \item invariance, 127, 128 - \subitem du temps, 126 - \subitem formelle, 127, 128 - \item Io, 133 - \item irrigation, 76 + \item imminence de glissement, 71 + \item immobilit\IeC {\'e} de la terre, 180 + \item impulsion, 97 + \item incertitude, 167, 173, 174, 176 + \item inertie, 55, 179--181 + \item infini, 23 + \item interaction fondamentale, 36 + \item interstellaire, 23 + \item intrados, 108 + \item invariance, 191, 192 + \subitem du temps, 190 + \subitem formelle, 191, 192 + \item Io, 197 + \item irrigation, 108 \indexspace {\bfseries{J}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item joule, 69 - \item jovienne, 22 - \item Jupiter, 22 + \item joule, 101 + \item jovienne, 26 + \item Jupiter, 26 \indexspace {\bfseries{K}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item Kelvin, 88 - \item Kepler, 44, 45 - \subitem Johanes, 45 - \subitem premi\IeC {\`e}re loi, 44 - \subitem seconde loi, 44 - \subitem troisi\IeC {\`e}me loi, 44, 105 - \item kilowattheure, 73 - \item kin\IeC {\^e}ma, 33 - \item kWh, 73 + \item Kelvin, 128 + \item Kepler, 48, 49 + \subitem Johanes, 49 + \subitem premi\IeC {\`e}re loi, 49 + \subitem seconde loi, 49 + \subitem troisi\IeC {\`e}me loi, 49, 169 + \item kilowattheure, 105 + \item kin\IeC {\^e}ma, 37 + \item kWh, 105 \indexspace {\bfseries{L}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item latitude, 18, 100 - \item Leibnitz, 55 - \item L\IeC {\'e}onides, 22 - \item lepton, 31 - \item liaison, 81 - \subitem interatomique, 66 - \item libre, 38 + \item l'acc\IeC {\'e}l\IeC {\'e}ration, 119 + \item latitude, 22, 164 + \item Leibnitz, 61 + \item L\IeC {\'e}onides, 26 + \item lepton, 35 + \item liaison, 113 + \subitem interatomique, 72 + \item libre, 42 \item licence GFDL, 2 - \item lieu naturel de repos, 48 - \item ligne des n\oe uds, 26 - \item limite de Betz, 77, 139 - \item limite de la deuxi\IeC {\`e}me loi, 57 - \item limite de Roche, 133 - \item lithium, 28, 29 - \item Local Standard of Rest, 118 + \item lieu naturel de repos, 54 + \item ligne des n\oe uds, 28 + \item limite de Betz, 109, 203 + \item limite de la deuxi\IeC {\`e}me loi, 63 + \item limite de Roche, 197 + \item liqu\IeC {\'e}faction, 137 + \item lithium, 33 + \item Local Standard of Rest, 182 \item loi - \subitem de l'action et de la r\IeC {\'e}action, 51 - \subitem de l'inertie, 51 - \subitem de la gravitation, 51 - \subitem de la gravitation universelle, 42, 54, 55, 123 - \subitem fondamentale, 51 - \subitem fondamentale de la dynamique, 51 - \item loi de la gravitation universelle, 61 - \item lois fondamentales de la dynamique, 52 - \item longitude, 18, 100 - \item Lune, 22, 36, 41, 59 - \subitem Noire, 25 + \subitem de l'action et de la r\IeC {\'e}action, 58 + \subitem de l'inertie, 57 + \subitem de la gravitation, 57 + \subitem de la gravitation universelle, 47, 60, 61, 187 + \subitem fondamentale, 57 + \subitem fondamentale de la dynamique, 57 + \item loi de la gravitation universelle, 68, 86 + \item loi des gaz parfaits, 139 + \item lois fondamentales de la dynamique, 58 + \item longitude, 22, 164 + \item Lune, 26, 40, 45, 65 + \subitem Noire, 28 \indexspace {\bfseries{M}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item mar\IeC {\'e}e, 3, 60, 129 - \subitem c\IeC {\^o}ti\IeC {\`e}re, 61, 133 - \subitem champ vectoriel, 63 - \subitem d'\IeC {\'e}quinoxe, 132 - \subitem de basse mer, 61 - \subitem de d\IeC {\'e}clinaison, 133 - \subitem de morte eau, 61 - \subitem de p\IeC {\'e}rig\IeC {\'e}e, 133 - \subitem de p\IeC {\'e}rih\IeC {\'e}lie, 133 - \subitem de pleine mer, 61 - \subitem de vive eau, 61 - \subitem de vives et mortes eaux, 132 - \subitem haute, 61 - \subitem oc\IeC {\'e}anique, 64 - \subitem th\IeC {\'e}orie ondulatoire, 61 - \subitem th\IeC {\'e}orie statique, 61 - \item mar\IeC {\'e}e noire, 80 - \item marnage, 132 - \item Mars, 104 - \item masse, 38, 51, 56 - \subitem critique, 81 - \subitem des astres, 59 - \subitem volumique, 74 - \item m\IeC {\^a}t, 139 - \item mazout, 83 - \item MCU, 43, 47, 48, 58 - \item m\IeC {\'e}canique, 32, 47 - \subitem d'Aristote, 50 - \subitem de Newton, 50 - \item Mendele\IeC {\"\i }ev, 21 + \item mar\IeC {\'e}e, 3, 67, 193 + \subitem c\IeC {\^o}ti\IeC {\`e}re, 67, 197 + \subitem champ vectoriel, 70 + \subitem d'\IeC {\'e}quinoxe, 196 + \subitem de basse mer, 67 + \subitem de d\IeC {\'e}clinaison, 197 + \subitem de morte eau, 67 + \subitem de p\IeC {\'e}rig\IeC {\'e}e, 197 + \subitem de p\IeC {\'e}rih\IeC {\'e}lie, 197 + \subitem de pleine mer, 67 + \subitem de vive eau, 67 + \subitem de vives et mortes eaux, 196 + \subitem haute, 68 + \subitem oc\IeC {\'e}anique, 71 + \subitem th\IeC {\'e}orie ondulatoire, 67 + \subitem th\IeC {\'e}orie statique, 67 + \item mar\IeC {\'e}e noire, 113 + \item marnage, 196 + \item Mars, 168 + \item masse, 42, 58, 62, 63 + \subitem critique, 114 + \subitem des astres, 66 + \subitem volumique, 106 + \item m\IeC {\^a}t, 203 + \item mazout, 116 + \item MCU, 47, 53, 54, 64, 82--84 + \item m\IeC {\'e}canique, 36, 53 + \subitem d'Aristote, 56 + \subitem de Newton, 57 + \item Mendele\IeC {\"\i }ev, 24 \item mesure - \subitem de distance, 101 - \item m\IeC {\'e}t\IeC {\'e}ore, 22 - \item Michelson et Morley, 118 - \item minute d'arc, 95 - \item mol\IeC {\'e}cule, 28 + \subitem de distance, 165 + \item m\IeC {\'e}t\IeC {\'e}ore, 26 + \item Michelson et Morley, 182 + \item minute d'arc, 159 + \item mol\IeC {\'e}cule, 32 \item monde - \subitem sublunaire, 47, 59 - \subitem supralunaire, 59 - \item Mont Soleil, 76 - \item morte eau, 132 - \item moteur id\IeC {\'e}al, 91 - \item mouvement, 32, 33 - \subitem acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, 44 - \subitem balistique, 44 - \subitem central, 42 - \subitem circulaire, 41, 57 - \subsubitem uniforme, 43, 44, 47, 48, 123 - \subitem circulaire uniforme, 59, 130 - \subitem compos\IeC {\'e}, 48 - \subitem divin, 48 - \subitem elliptique, 59 - \subitem naturel, 43, 48 + \subitem sublunaire, 53, 65 + \subitem supralunaire, 65 + \item Mont Soleil, 108 + \item morte eau, 196 + \item moteur + \subitem \IeC {\`a} essence, 151 + \subitem \IeC {\`a} explosion, 150 + \item moteur id\IeC {\'e}al, 131 + \item mouvement, 36, 37 + \subitem acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, 48 + \subitem balistique, 48 + \subitem central, 47 + \subitem circulaire, 45, 64 + \subsubitem uniforme, 47, 48, 53, 54, 187 + \subitem circulaire uniforme, 65, 194 + \subitem compos\IeC {\'e}, 54 + \subitem divin, 54 + \subitem elliptique, 65 + \subitem naturel, 47, 54 \subitem rectiligne \subsubitem uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, - 38, 39 - \subsubitem uniforme, 35, 51 - \subitem rectiligne uniforme, 127 - \subitem simple, 35, 112 - \subitem uniforme, 44 - \subitem violent, 48 - \item MRU, 35--38, 40, 41, 43, 112, 127 - \item MRUA, 38--42, 112--114 - \item multiple, 96 + 42, 43 + \subsubitem uniforme, 39, 57 + \subitem rectiligne uniforme, 191 + \subitem simple, 39, 176 + \subitem uniforme, 48 + \subitem violent, 54 + \item mouvement circulaire uniforme, 82, 86 + \item MRU, 39--42, 44, 45, 47, 82, 176, 191 + \item MRUA, 42, 44--46, 176--178 + \item multiple, 160 \indexspace {\bfseries{N}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak \item naine - \subitem blanche, 21 - \subitem noire, 21 - \item n\IeC {\'e}buleuse, 19 - \subitem du crabe, 111 - \subitem plan\IeC {\'e}taire, 21 - \item neutrino \IeC {\'e}lectronique, 31 - \item neutron, 28, 29 - \item Newton, 37, 43, 47, 50, 59 - \item newton, 53 - \item Newton Isaac, 52 + \subitem blanche, 24 + \subitem noire, 24 + \item n\IeC {\'e}buleuse, 23 + \subitem du crabe, 175 + \subitem plan\IeC {\'e}taire, 24 + \item neutrino \IeC {\'e}lectronique, 35 + \item neutron, 33, 34 + \item Newton, 41, 47, 53, 56, 65 + \item newton, 59 + \item Newton Isaac, 58 \item notation - \subitem d'ing\IeC {\'e}nieur, 96 - \subitem scientifique, 96 - \item Nouvelle Lune, 25 - \item nouvelle lune, 25, 132 - \item nuage de Oort, 22 - \item nucl\IeC {\'e}on, 31, 81 + \subitem d'ing\IeC {\'e}nieur, 160, 240 + \item notation + \subitem scientifique, 160, 240 + \item Nouvelle Lune, 28 + \item nouvelle lune, 28, 196 + \item nuage de Oort, 26 + \item nucl\IeC {\'e}on, 35, 113 \indexspace {\bfseries{O}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item obus, 40 - \item onde, 29, 31 - \item opposition, 105 - \item optique, 51 - \item orbite, 22, 23, 36, 58, 99, 123 - \subitem circulaire, 42, 116 - \subitem de mars, 44, 116 - \subitem elliptique, 44, 45, 55, 105, 106, 116 - \subitem g\IeC {\'e}ostationnaire, 45 - \item ordonn\IeC {\'e}e, 36 - \item origine, 33 - \item oxyg\IeC {\`e}ne, 29 + \item obus, 44 + \item onde, 34, 35 + \item opposition, 169 + \item optique, 57 + \item orbite, 26, 40, 64, 86, 163, 187 + \subitem circulaire, 47, 181 + \subitem de mars, 48, 180 + \subitem elliptique, 49, 61, 169, 170, 180 + \subitem g\IeC {\'e}ostationnaire, 50 + \item ordonn\IeC {\'e}e, 40 + \item ordre de grandeur, 240 + \item origine, 37 + \item oxyg\IeC {\`e}ne, 33 \indexspace {\bfseries{P}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item pale, 76, 138, 139 + \item p\IeC {\'e}riode, 86 + \item pale, 108, 202, 203 \item palier - \subitem de fusion, 90 - \subitem de liqu\IeC {\'e}faction, 90 - \subitem de solidification, 90 - \subitem de vaporisation, 90 - \item parabole, 38, 39, 42 - \item parallaxe, 104--106 - \subitem stellaire, 106 - \item param\IeC {\`e}tre, 111 - \item Paris-Cayenne, 105 - \item parsec, 95, 141 - \item particule, 29 - \subitem \IeC {\'e}l\IeC {\'e}mentaire, 29, 30 - \item Partie th\IeC {\'e}orique, 108 - \item pc, 95 - \item pendule, 111 - \item pendule de Foucault, 50 - \item p\IeC {\'e}rig\IeC {\'e}e, 24, 133 - \item p\IeC {\'e}rih\IeC {\'e}lie, 133 - \item p\IeC {\'e}riode, 59, 111, 123 - \subitem de r\IeC {\'e}volution, 44 - \subitem de rotation, 42 - \subitem sid\IeC {\'e}rale, 115, 117 - \subitem synodique, 60 - \item p\IeC {\'e}trole, 83 + \subitem de fusion, 130 + \subitem de liqu\IeC {\'e}faction, 130 + \subitem de solidification, 130 + \subitem de vaporisation, 130 + \item parabole, 42, 44, 47 + \item parallaxe, 168--170 + \subitem stellaire, 170 + \item param\IeC {\`e}tre, 175 + \item Paris-Cayenne, 169 + \item parsec, 159, 205 + \item particule, 33 + \subitem \IeC {\'e}l\IeC {\'e}mentaire, 34 + \item Partie th\IeC {\'e}orique, 172 + \item pc, 159 + \item pendule, 175 + \item pendule de Foucault, 56 + \item p\IeC {\'e}rig\IeC {\'e}e, 27, 197 + \item p\IeC {\'e}rih\IeC {\'e}lie, 197 + \item p\IeC {\'e}riode, 66, 175, 187 + \subitem de r\IeC {\'e}volution, 49 + \subitem de rotation, 46 + \subitem sid\IeC {\'e}rale, 179, 181 + \subitem synodique, 66 + \item p\IeC {\'e}trole, 116 \item phase - \subitem de v\IeC {\'e}nus, 45 - \item phase lunaire, 25 - \item phases de V\IeC {\'e}nus, 50 + \subitem de v\IeC {\'e}nus, 49 + \item phase lunaire, 28 + \item phases de V\IeC {\'e}nus, 56 \item physique \subitem quantique, 3 \item plan - \subitem de l'\IeC {\'e}cliptique, 63 - \item plan inclin\IeC {\'e}, 113 - \item plan\IeC {\`e}te, 21, 22 - \item plastique, 66 - \item Platon, 38, 47, 59 - \item pleine lune, 25, 132 - \item pleine mer, 131, 132 - \item Pline l'Ancien, 101 - \item pluralit\IeC {\'e} des mondes, 126 - \item Pluton, 22 - \item poids, 41, 54--56, 59 - \subitem apparent, 56, 57 - \subitem relatif, 129, 131 - \item Polaire, 104 + \subitem de l'\IeC {\'e}cliptique, 70 + \item plan inclin\IeC {\'e}, 177 + \item plan\IeC {\`e}te, 24, 26 + \item plastique, 73 + \item Platon, 42, 53, 65 + \item pleine lune, 28, 196 + \item pleine mer, 195, 196 + \item Pline l'Ancien, 165 + \item pluralit\IeC {\'e} des mondes, 190 + \item Pluton, 26 + \item poids, 45, 61--63, 65, 124, 125 + \subitem apparent, 63, 64 + \subitem relatif, 193, 195 + \item Polaire, 168 \item poly\IeC {\`e}dre - \subitem r\IeC {\'e}gulier, 45 - \item pompe \IeC {\`a} chaleur, 80 - \item pont du Gard, 40, 41 - \item portance, 76 - \item position, 33, 34, 36, 38, 51, 99, 119 - \item positron, 31 - \item premi\IeC {\`e}re loi, 51 - \subitem de la thermodynamique, 91 - \item premier principe, 91 + \subitem r\IeC {\'e}gulier, 49 + \item pompe \IeC {\`a} chaleur, 112 + \item pont du Gard, 44, 45 + \item portance, 108 + \item position, 37, 38, 40, 42, 58, 163, 183 + \item positron, 36 + \item premi\IeC {\`e}re loi, 57 + \subitem de la thermodynamique, 131 + \item premier principe, 131 \item principe - \subitem d'incertitude, 30 - \subitem d'ind\IeC {\'e}termination, 30 - \subitem de conservation de l'\IeC {\'e}nergie, 72 - \item Principia mathematica , 51 - \item proc\IeC {\'e}dure, 144 - \item proton, 28, 29 - \item Proxima du Centaure, 106 - \item pseudo-force, 58, 63, 128 - \subitem centrifuge, 63, 64, 129 - \subitem d'inertie, 63 - \item Ptol\IeC {\'e}m\IeC {\'e}e, 116 - \item puissance, 69, 70 - \subitem de chute, 74 - \subitem install\IeC {\'e}e, 73, 137 + \subitem d'incertitude, 35 + \subitem d'ind\IeC {\'e}termination, 35 + \subitem de conservation de l'\IeC {\'e}nergie, 104 + \item Principia mathematica , 57 + \item proc\IeC {\'e}dure, 208 + \item produit scalaire, 120 + \item proton, 33, 34 + \item Proxima du Centaure, 170 + \item pseudo-force, 65, 69, 192 + \subitem centrifuge, 69, 70, 193 + \subitem d'inertie, 69 + \item Ptol\IeC {\'e}m\IeC {\'e}e, 180 + \item puissance, 101, 102 + \subitem de chute, 106 + \subitem install\IeC {\'e}e, 106, 201 \subitem solaire - \subsubitem moyenne, 78 - \subsubitem utile, 78 - \item pulsar, 111 + \subsubitem moyenne, 110 + \subsubitem utile, 110 + \item pulsar, 175 \indexspace {\bfseries{Q}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item quantique, 31 - \item quanton, 31 - \item quark, 31 - \item quartier lunaire, 25 + \item quantique, 35 + \item quantit\IeC {\'e} de mouvement, 97 + \item quanton, 35 + \item quark, 35 + \item quartier lunaire, 28 \indexspace {\bfseries{R}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item radian, 22 - \item radioactivit\IeC {\'e}, 82 - \item rail inclin\IeC {\'e}, 112 + \item radian, 26 + \item radioactivit\IeC {\'e}, 115 + \item rail inclin\IeC {\'e}, 176 \item rapport - \subitem de laboratoire, 107 - \subitem de travail pratique, 108 - \item rayon de la Terre, 141 - \item r\IeC {\'e}action, 75 - \subitem en cha\IeC {\^\i }ne, 81 - \item r\IeC {\'e}f\IeC {\'e}rentiel, 117, 118 - \subitem absolu, 118 - \subitem acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, 57 - \subitem en rotation, 59, 63 - \subitem inertiel, 58, 59, 63, 127 - \subitem non acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, 59 - \subitem non inertiel, 59, 63, 127, 128 - \subitem non-inertiel, 58 - \subitem tournant, 127, 129 - \item r\IeC {\`e}gle de Betz, 77, 138 - \item relativit\IeC {\'e}, 17, 116 - \subitem g\IeC {\'e}n\IeC {\'e}rale, 43, 47 - \subitem restreinte, 19, 47, 118 - \item relativit\IeC {\'e}, 125 - \subitem de Galil\IeC {\'e}e, 127 - \subitem g\IeC {\'e}n\IeC {\'e}rale, 3, 128 - \subitem galil\IeC {\'e}enne, 125, 128 - \subitem restreinte, 125, 127 + \subitem de laboratoire, 171 + \subitem de travail pratique, 172 + \item rapport de compression, 152 + \item rayon de la Terre, 205 + \item r\IeC {\'e}action, 107 + \subitem en cha\IeC {\^\i }ne, 114 + \item r\IeC {\'e}f\IeC {\'e}rentiel, 181, 182 + \subitem absolu, 182 + \subitem acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, 63 + \subitem en rotation, 65, 69 + \subitem inertiel, 64, 65, 69, 191 + \subitem non acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}, 65 + \subitem non inertiel, 65, 69, 191, 192 + \subitem non-inertiel, 64 + \subitem tournant, 192, 193 + \item r\IeC {\`e}gle de Betz, 109, 202 + \item relativit\IeC {\'e}, 21, 180 + \subitem g\IeC {\'e}n\IeC {\'e}rale, 47, 53 + \subitem restreinte, 23, 53, 182 + \item relativit\IeC {\'e}, 189 + \subitem de Galil\IeC {\'e}e, 191 + \subitem g\IeC {\'e}n\IeC {\'e}rale, 3, 192 + \subitem galil\IeC {\'e}enne, 189, 192 + \subitem restreinte, 189, 191 \item rendement - \subitem hydraulique, 74 - \subitem maximum, 91 - \subitem optique, 78 - \subitem photo\IeC {\'e}lectrique, 79 - \item repos naturel, 48 - \item ressort, 56, 66 - \item r\IeC {\'e}sultats, 108 - \item r\IeC {\'e}sum\IeC {\'e}, 108 - \item r\IeC {\'e}tine, 45 - \item r\IeC {\'e}trogradation, 116 - \item Richer, 104 - \item Riehen, 80 + \subitem hydraulique, 106 + \subitem maximum, 131 + \subitem optique, 110 + \subitem photo\IeC {\'e}lectrique, 111, 112 + \item repos naturel, 54 + \item ressort, 62, 72 + \item r\IeC {\'e}sultats, 172 + \item r\IeC {\'e}sum\IeC {\'e}, 172 + \item r\IeC {\'e}tine, 50 + \item r\IeC {\'e}trogradation, 180 + \item Richer, 168 + \item Riehen, 113 \item rotation - \subitem de la Terre, 115 - \subitem de la terre, 115 - \subitem du Soleil, 117 - \item roue \IeC {\`a} aube, 75 + \subitem de la Terre, 179 + \subitem de la terre, 179 + \subitem du Soleil, 181 + \item roue \IeC {\`a} aube, 107 \indexspace {\bfseries{S}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item saison, 23 - \subitem d'\IeC {\'e}clipse, 26 - \item satellite, 3, 37, 43, 45, 50, 58, 123 - \subitem de jupiter, 45 - \item Saturne, 134 - \item scaph\IeC {\'e}, 102 - \item scolastique, 49 + \item saison, 26, 27 + \subitem d'\IeC {\'e}clipse, 29 + \item satellite, 3, 41, 47, 50, 56, 64, 86, 187 + \subitem de jupiter, 49 + \item Saturne, 198 + \item scaph\IeC {\'e}, 166 + \item scolastique, 55 + \item second principe, 155 \item seconde - \subitem d'arc, 95 - \subitem loi, 51 - \subsubitem de Newton, 114, 123 - \item seconde loi, 127 - \item s\IeC {\'e}isme, 80 - \item SI, 95 + \subitem d'arc, 159 + \subitem loi, 57 + \subsubitem de Newton, 178, 187 + \item seconde loi, 191 + \item seconde loi de Newton, 86 + \item s\IeC {\'e}isme, 112 + \item SI, 159 \item silicium - \subitem monocristallin, 79 - \subitem polycristallin, 79 - \item Soleil, 22, 115 - \item soleil, 20, 21, 76 - \item solstice, 132 - \subitem d'\IeC {\'e}t\IeC {\'e}, 101 - \item sous-multiple, 96 - \item sph\IeC {\'e}rique, 33, 99 + \subitem monocristallin, 111 + \subitem polycristallin, 111 + \item Soleil, 26, 179 + \item soleil, 24, 25, 108 + \item solidification, 137 + \item solstice, 196 + \subitem d'\IeC {\'e}t\IeC {\'e}, 165 + \item sous-multiple, 160 + \item sph\IeC {\'e}rique, 37, 163 \item sph\IeC {\`e}re - \subitem cristalline, 45 - \item stade, 102 - \item statique, 65 - \item Strabon, 101 - \item structure, 17 - \subitem de rapport, 107 - \item subatomique, 27 - \item sublunaire, 38, 41, 47 - \item super amas, 17 - \item superg\IeC {\'e}ante, 21 - \item supernovae, 21, 29 - \item supralunaire, 38, 41 - \item Sy\IeC {\`e}ne, 101 + \subitem cristalline, 49 + \item stade, 166 + \item statique, 71 + \item Strabon, 165 + \item structure, 21 + \subitem de rapport, 171 + \item subatomique, 32 + \item sublunaire, 42, 45, 53 + \item super amas, 21 + \item superg\IeC {\'e}ante, 24 + \item supernovae, 24, 33 + \item supralunaire, 42, 45 + \item Sy\IeC {\`e}ne, 165 \item Syst\IeC {\`e}me - \subitem International d'unit\IeC {\'e}s, 95 + \subitem International d'unit\IeC {\'e}s, 159 \item syst\IeC {\`e}me - \subitem d'axes, 33 - \subitem de coordonn\IeC {\'e}es circulaires, 99 - \subitem solaire, 21 + \subitem d'axes, 37 + \subitem de coordonn\IeC {\'e}es circulaires, 163 + \subitem solaire, 24 + \item syst\IeC {\`e}me d'axes, 75 \item syst\IeC {\`e}me - \subitem internationnal, 88 + \subitem internationnal, 128 \indexspace {\bfseries{T}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item tableau, 109 - \subitem p\IeC {\'e}riodique, 21 + \item tableau, 173 + \subitem p\IeC {\'e}riodique, 24 \item tache - \subitem solaire, 45 - \item tache solaire, 50 - \item Tchernobyl, 83 - \item tellurique, 22 - \item temp\IeC {\'e}rature, 87, 89, 90 - \item temps, 17, 18, 39 - \subitem de vol, 41 - \item Terre, 22 - \item terre, 47 - \item th\IeC {\'e}orie des humeurs, 47 + \subitem solaire, 49 + \item tache solaire, 56 + \item taux d'injection, 153 + \item Tchernobyl, 115 + \item tellurique, 26 + \item temp\IeC {\'e}rature d'\IeC {\'e}quilibre, 138 + \item temp\IeC {\'e}rature, 127, 129, 131 + \item temps, 21, 22, 43 + \subitem de vol, 45 + \item Terre, 26 + \item terre, 53 + \item th\IeC {\'e}orie des humeurs, 53 \item th\IeC {\'e}or\IeC {\`e}me - \subitem d'addition des vitesses, 126 - \subitem de conservation, 69 - \subsubitem de l'\IeC {\'e}nergie cin\IeC {\'e}tique, 71 - \subsubitem de l'\IeC {\'e}nergie m\IeC {\'e}canique, 71 - \subitem de l'\IeC {\'e}nergie cin\IeC {\'e}tique, 71 - \item thermodynamique, 91 - \item titre, 108 - \item toupie, 23 - \item trajectoire, 22, 29, 31 + \subitem d'addition des vitesses, 190 + \subitem de conservation, 101 + \subsubitem de l'\IeC {\'e}nergie cin\IeC {\'e}tique, 103 + \subsubitem de l'\IeC {\'e}nergie m\IeC {\'e}canique, 103 + \subitem de l'\IeC {\'e}nergie cin\IeC {\'e}tique, 103 + \item thermodynamique, 131 + \item titre, 172 + \item toupie, 27 + \item trajectoire, 26, 33, 35 \item transformation - \subitem de Galil\IeC {\'e}e, 128 - \subitem galil\IeC {\'e}enne, 126 - \item transmutation, 83 - \item travail, 69, 90 - \item troisi\IeC {\`e}me loi, 51 + \subitem de Galil\IeC {\'e}e, 192 + \subitem galil\IeC {\'e}enne, 190 + \item transition d'\IeC {\'e}tat, 137 + \item transmutation, 115 + \item travail, 101, 119--122, 124, 125, 130 + \item travail simple, 120 + \item troisi\IeC {\`e}me loi, 58 \item tropique - \subitem du Cancer, 101 - \item trou noir, 21 + \subitem du Cancer, 165 + \item trou noir, 24 \item trous noir, 3 - \item turbine, 74, 80, 82, 137 - \subitem Francis, 75 - \subitem Kaplan, 75 - \subitem Pelton, 75 - \item Tycho Brah\IeC {\'e}, 116 - \item type de force, 53 + \item turbine, 106, 112, 114, 201 + \subitem Francis, 107 + \subitem Kaplan, 107 + \subitem Pelton, 107 + \item Tycho Brah\IeC {\'e}, 180 + \item type de force, 60 \indexspace {\bfseries{U}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item UA, 95 - \item unit\IeC {\'e}, 95 - \subitem de longueur, 33 - \item Univers, 38 - \item univers, 17, 19, 41 - \subitem bulle, 18 + \item UA, 159 + \item unit\IeC {\'e}, 159 + \subitem de longueur, 37 + \item Univers, 42 + \item univers, 21, 23, 45 + \subitem bulle, 22 \indexspace {\bfseries{V}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item vapeur, 82 - \item vaporisation, 87 - \item variable, 111 - \item variation de l'\IeC {\'e}nergie m\IeC {\'e}canique, 73 - \item vent, 76 - \item v\IeC {\'e}nus, 22 - \item vitesse, 30, 34, 38, 39, 42, 48 - \subitem angulaire, 130 - \subitem constante, 51, 125 - \subitem instantann\IeC {\'e}e, 34 - \subitem lin\IeC {\'e}aire, 130 - \subitem moyenne, 34 - \subitem scalaire, 44 - \item vive eau, 132 - \item Voie Lact\IeC {\'e}e, 117 - \item voie lact\IeC {\'e}e, 20, 37 - \item volcanisme, 133 + \item valeur en eau, 136 + \item vapeur, 114 + \item vaporisation, 127, 137 + \item variable, 175 + \item variation de l'\IeC {\'e}nergie m\IeC {\'e}canique, 105 + \item vent, 108 + \item v\IeC {\'e}nus, 26 + \item vitesse, 35, 38, 42, 43, 47, 55, 119 + \subitem angulaire, 194 + \subitem constante, 57, 189 + \subitem instantann\IeC {\'e}e, 38 + \subitem lin\IeC {\'e}aire, 194 + \subitem moyenne, 38 + \subitem scalaire, 48 + \item vitesse scalaire, 83 + \item vive eau, 196 + \item Voie Lact\IeC {\'e}e, 181 + \item voie lact\IeC {\'e}e, 24, 41, 42 + \item volcanisme, 197 \indexspace {\bfseries{W}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item watt, 70, 73 + \item watt, 102, 105 \indexspace {\bfseries{Z}\;\rule[3pt]{5cm}{0.2pt}}\smallskip\nopagebreak - \item z\IeC {\'e}nith, 101, 129, 132, 141 - \item zone contamin\IeC {\'e}e, 83 + \item z\IeC {\'e}ro, 123 + \item z\IeC {\'e}nith, 165, 193, 196, 205 + \item zone contamin\IeC {\'e}e, 115 \end{theindex} diff --git a/CoursMecaniqueOSDF.lof b/CoursMecaniqueOSDF.lof index a03b090..e7b8372 100644 --- a/CoursMecaniqueOSDF.lof +++ b/CoursMecaniqueOSDF.lof @@ -157,34 +157,34 @@ \contentsline {figure}{\numberline {H.1}{\ignorespaces Satellite}}{187} \addvspace {10\p@ } \contentsline {figure}{\numberline {I.1}{\ignorespaces Transformation de galil\IeC {\'e}e}}{190} -\contentsline {figure}{\numberline {J.1}{\ignorespaces Mar\IeC {\'e}e}}{195} +\contentsline {figure}{\numberline {J.1}{\ignorespaces Mar\IeC {\'e}e}}{193} \addvspace 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+\contentsline {figure}{\numberline {J.7}{\ignorespaces Limite de Roche}}{199} \addvspace {10\p@ } -\contentsline {figure}{\numberline {K.1}{\ignorespaces Le barrage du Ch\IeC {\^a}telot}}{203} +\contentsline {figure}{\numberline {K.1}{\ignorespaces Le barrage du Ch\IeC {\^a}telot}}{201} \addvspace {10\p@ } -\contentsline {figure}{\numberline {L.1}{\ignorespaces Le rayon de la Terre par Eratosth\IeC {\`e}ne\relax }}{208} -\contentsline {figure}{\numberline {L.2}{\ignorespaces La poulie}}{212} -\contentsline {figure}{\numberline {L.3}{\ignorespaces Masse pendante}}{212} -\contentsline {figure}{\numberline {L.4}{\ignorespaces Deux poulies}}{213} -\contentsline {figure}{\numberline {L.5}{\ignorespaces Bloc suspendu}}{214} -\contentsline {figure}{\numberline {L.6}{\ignorespaces Graphes horaires du MRU.\relax }}{219} -\contentsline {figure}{\numberline {L.7}{\ignorespaces Chute aristot\IeC {\'e}licienne de la tour Eiffel.\relax }}{222} -\contentsline {figure}{\numberline {L.8}{\ignorespaces 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is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Debian) (preloaded format=latex 2018.12.20) 28 FEB 2019 23:10 entering extended mode \write18 enabled. %&-line parsing enabled. @@ -877,9 +877,9 @@ Package etexcmds Info: Could not find \expanded. (etexcmds) In the latter case, load this package earlier. )) \verbatim@out=\write7 -runsystem(touch w18-test-20192281203.tex)...executed. +runsystem(touch w18-test-20192281390.tex)...executed. -runsystem(rm -f w18-test-20192281203.tex)...executed. +runsystem(rm -f w18-test-20192281390.tex)...executed. runsystem(rm -f "CoursMecaniqueOSDF.gnuploterrors")...executed. @@ -1770,12 +1770,16 @@ LaTeX Font Info: Try loading font information for T1+cmtt on input line 83. 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1638 - [] +Package natbib Warning: Citation `SH03' on page 42 undefined on input line 425. -Underfull \hbox (badness 1014) in paragraph at lines 425--425 -\T1/cmr/m/n/8 - Dans "Dis-cours et dé-mon-stra-tions - [] - File: ./Cinematique/Images/Galilee.eps Graphic file (type eps) <./Cinematique/Images/Galilee.eps> Overfull \hbox (16.7091pt too wide) in paragraph at lines 425--426 @@ -2062,21 +2087,29 @@ File: ./Cinematique/Images/PositionVStemps.eps Graphic file (type eps) <./Cinematique/Images/PositionVStemps.eps> File: ./Cinematique/Images/VitesseVStemps.eps Graphic file (type eps) -<./Cinematique/Images/VitesseVStemps.eps> [43] [44] +<./Cinematique/Images/VitesseVStemps.eps> +Underfull \vbox (badness 7116) has occurred while \output is active [] + + [43] Underfull \hbox (badness 1253) in paragraph at lines 546--547 \T1/cmr/m/n/10 hor-i-zon-tale-ment (sans au-cune vitesse ver-ti-cale) [] +[44] + +Package natbib Warning: Citation `EL99' on page 45 undefined on input line 612. + + [45] (./Cinematique/Images/Chutelune.pst) File: ./Cinematique/Images/newton_isaac_h5.eps Graphic file (type eps) <./Cinematique/Images/newton_isaac_h5.eps> -(./Cinematique/Images/Quartchutelune.pst) [46] +(./Cinematique/Images/Quartchutelune.pst) Overfull \hbox (4.72514pt too wide) detected at line 640 \OML/cmm/m/it/10 a \OT1/cmr/m/n/10 = [] = [] = [] [] - +[46] Underfull \hbox (badness 1087) in paragraph at lines 642--643 []\T1/cmr/m/n/10 Cette valeur est du bon or-dre de grandeur [] @@ -2100,7 +2133,10 @@ Overfull \hbox (16.7091pt too wide) in paragraph at lines 761--762 [] File: ./Cinematique/Images/Kepler_Optica.eps Graphic file (type eps) -<./Cinematique/Images/Kepler_Optica.eps> [48] [49] +<./Cinematique/Images/Kepler_Optica.eps> [48] +Underfull \vbox (badness 10000) has occurred while \output is active [] + + [49] Underfull \hbox (badness 4291) in paragraph at lines 801--802 []\T1/cmr/m/n/10 Un ex-em-ple in-téres-sant d'utilisation de la [] @@ -2149,6 +2185,9 @@ Underfull \hbox (badness 10000) in paragraph at lines 872--875 ] Chapter 3. +Package natbib Warning: Citation `EL99' on page 53 undefined on input line 19. + + Underfull \hbox (badness 6526) in paragraph at lines 22--23 []\T1/cmr/m/n/10 C'est dans le cadre de cette cos-molo-gie [] @@ -2187,8 +2226,12 @@ Underfull \hbox (badness 1983) in paragraph at lines 25--26 ] + +Package natbib Warning: Citation `GSJ05' on page 54 undefined on input line 27. + + File: ./Dynamique/Images/Aristotle_by_Raphael.eps Graphic file (type eps) - <./Dynamique/Images/Aristotle_by_Raphael.eps> +<./Dynamique/Images/Aristotle_by_Raphael.eps> Overfull \hbox (16.7091pt too wide) in paragraph at lines 53--54 [][] [] @@ -2214,10 +2257,19 @@ Underfull \hbox (badness 1014) in paragraph at lines 119--120 [] [56] + +Package natbib Warning: Citation `SH03' on page 57 undefined on input line 129. + + + Underfull \hbox (badness 2932) in paragraph at lines 162--162 \T1/cmr/m/it/10 tion-nel à la force motrice im-primée et [] + +Package natbib Warning: Citation `BM85' on page 57 undefined on input line 162. + + File: ./Dynamique/Images/GodfreyKneller-IsaacNewton-1689.eps Graphic file (type eps) <./Dynamique/Images/GodfreyKneller-IsaacNewton-1689.eps> @@ -2230,7 +2282,16 @@ Underfull \hbox (badness 1968) in paragraph at lines 200--201 []\T1/cmr/m/n/10 si on sait que la somme des forces qui [] -[57] [58] + +Package natbib Warning: Citation `BM85' on page 57 undefined on input line 205. + + +[57] + +Package natbib Warning: Citation `BM85' on page 58 undefined on input line 223. + + +[58] Underfull \hbox (badness 1097) in paragraph at lines 265--266 \T1/cmr/m/n/10 ni le temps d'arrêt. On peut donc soit [] @@ -2238,6 +2299,11 @@ Underfull \hbox (badness 1097) in paragraph at lines 265--266 [59] File: ./Dynamique/Images/Balance_de_Cavendish.eps Graphic file (type eps) <./Dynamique/Images/Balance_de_Cavendish.eps> + +Package natbib Warning: Citation `SH03' on page 60 undefined on input line 316. + + + Overfull \hbox (16.7091pt too wide) in paragraph at lines 316--317 [][] [] @@ -2305,6 +2371,14 @@ Underfull \hbox (badness 1122) in paragraph at lines 603--604 \T1/cmr/m/n/10 L'application des lois de la physique hu-maine [] + +Package natbib Warning: Citation `OG04' on page 67 undefined on input line 605. + + + +Package natbib Warning: Citation `BS07' on page 67 undefined on input line 607. + + File: ./Dynamique/Images/PleineBasseMer1.eps Graphic file (type eps) <./Dynamique/Images/PleineBasseMer1.eps> File: ./Dynamique/Images/PleineBasseMer2.eps Graphic file (type eps) @@ -2329,6 +2403,10 @@ File: ./Dynamique/Images/Proctor.eps Graphic file (type eps) <./Dynamique/Images/Proctor.eps> +Package natbib Warning: Citation `GC88' on page 70 undefined on input line 704. + + + Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 706. @@ -2477,7 +2555,12 @@ Underfull \hbox (badness 1097) in paragraph at lines 588--589 [] File: ./MecaniqueDim/Images/Viragesvmaxfinie.eps Graphic file (type eps) -<./MecaniqueDim/Images/Viragesvmaxfinie.eps> [85] [86] +<./MecaniqueDim/Images/Viragesvmaxfinie.eps> [85] + +Package natbib Warning: Citation `GC88' on page 86 undefined on input line 698. + + +[86] Underfull \hbox (badness 3375) in paragraph at lines 700--701 \T1/cmr/m/n/10 On va donc con-sid-érer un mou-ve-ment dont [] @@ -2575,9 +2658,13 @@ Underfull \hbox (badness 10000) in paragraph at lines 92--92 [103] File: ./Energie/Images/En_cin_pot_circ.eps Graphic file (type eps) <./Energie/Images/En_cin_pot_circ.eps> [104] -Underfull \hbox (badness 2245) in paragraph at lines 193--194 -\T1/cmr/m/n/10 tent en-v-i-ron 20% de la pro-duc-tion mon-di-ale - [] + +Package natbib Warning: Citation `LJ04' on page 105 undefined on input line 182 +. + + +Package natbib Warning: Citation `HRaFL03' on page 105 undefined on input line +193. [105] File: ./Energie/Images/Emosson.eps Graphic file (type eps) @@ -2592,8 +2679,16 @@ File: ./Energie/Images/Pelton.eps Graphic file (type eps) File: ./Energie/Images/TurbinePelton.eps Graphic file (type eps) <./Energie/Images/TurbinePelton.eps> [107] + +Package natbib Warning: Citation `OP06' on page 108 undefined on input line 279 +. + + +Package natbib Warning: Citation `HRaFL03' on page 108 undefined on input line +281. + File: ./Energie/Images/Eolienne.eps Graphic file (type eps) - <./Energie/Images/Eolienne.eps> +<./Energie/Images/Eolienne.eps> File: ./Energie/Images/Aile.eps Graphic file (type eps) <./Energie/Images/Aile.eps> Underfull \vbox (badness 10000) has occurred while \output is active [] @@ -2686,9 +2781,8 @@ Underfull \hbox (badness 1132) in paragraph at lines 495--496 [] -Underfull \hbox (badness 1048) in paragraph at lines 501--502 -\T1/cmr/m/n/10 Elle représente 6% de la pro-duc-tion mon-di-ale - [] +Package natbib Warning: Citation `HRaFL03' on page 113 undefined on input line +501. [113] File: ./Energie/Images/ReacteurNucleaire.eps Graphic file (type eps) @@ -2703,8 +2797,16 @@ Underfull \hbox (badness 1436) in paragraph at lines 582--583 [] [115] + +Package natbib Warning: Citation `SV06' on page 116 undefined on input line 588 +. + + +Package natbib Warning: Citation `HRaFL03' on page 116 undefined on input line +593. + File: ./Energie/Images/Combustion_methane.eps Graphic file (type eps) - <./Energie/Images/Combustion_methane.eps> +<./Energie/Images/Combustion_methane.eps> Underfull \hbox (badness 4193) in paragraph at lines 603--604 []\T1/cmr/m/n/10 On re-mar-que qu'en présence d'oxygène la [] @@ -3042,6 +3144,14 @@ Underfull \hbox (badness 2970) in paragraph at lines 16--17 [][] \T1/cmr/m/n/10 sont des ``ob-jets'' d'une im-por- [] + +Package natbib Warning: Citation `AK05' on page 157 undefined on input line 21. + + + +Package natbib Warning: Citation `AS06' on page 157 undefined on input line 21. + + [157 @@ -3100,6 +3210,15 @@ que-ment car ] + +Package natbib Warning: Citation `AS02' on page 166 undefined on input line 38. + + + +Package natbib Warning: Citation `JJD21' on page 166 undefined on input line 38 +. + + Underfull \hbox (badness 1043) in paragraph at lines 38--39 \T1/cmr/m/n/10 prob-lème posé par la mesure d'Érathosthène[]. [] @@ -3135,6 +3254,10 @@ Underfull \hbox (badness 1354) in paragraph at lines 11--12 [] +Package natbib Warning: Citation `JL96' on page 171 undefined on input line 13. + + + Underfull \hbox (badness 3354) in paragraph at lines 22--23 \T1/cmr/m/n/10 vent varier beau-coup en fonc-tion des spé-ci- [] @@ -3213,8 +3336,16 @@ Appendix E. ] + +Package natbib Warning: Citation `GG92' on page 180 undefined on input line 52. + + + +Package natbib Warning: Citation `JR07' on page 180 undefined on input line 54. + + File: ./Annexe-Rotations/Images/TychoSystem.eps Graphic file (type eps) - <./Annexe-Rotations/Images/TychoSystem.eps> [180] +<./Annexe-Rotations/Images/TychoSystem.eps> [180] File: ./Annexe-Rotations/Images/Milky_Way_2005_soleil.eps Graphic file (type ep s) @@ -3291,14 +3422,22 @@ Underfull \hbox (badness 1082) in paragraph at lines 9--10 \T1/cmr/m/it/10 Lorsque vous au-rez ob-servé toutes ces [] + +Package natbib Warning: Citation `GC88' on page 189 undefined on input line 11. + + [189 ] + +Package natbib Warning: Citation `JR00' on page 190 undefined on input line 26. + + File: ./Annexe-Relativite/Images/TransGalilee.eps Graphic file (type eps) - <./Annexe-Relativite/Images/TransGalilee.eps> +<./Annexe-Relativite/Images/TransGalilee.eps> Underfull \hbox (badness 2495) in paragraph at lines 42--44 \T1/cmr/m/n/10 L'équation I.1[] con-stitue la trans-for-ma-tion de [] @@ -3308,6 +3447,11 @@ Underfull \vbox (badness 10000) has occurred while \output is active [] [190] [191] + +Package natbib Warning: Citation `GC88' on page 192 undefined on input line 87. + + + Underfull \hbox (badness 3240) in paragraph at lines 125--126 []\T1/cmr/m/n/10 On peut cepen-dant mod-i-fier l'équation I.9[] [] @@ -3322,17 +3466,14 @@ Underfull \hbox (badness 1331) in paragraph at lines 129--131 \T1/cmr/m/n/10 ment ex-er-cées sur l'objet, on peut s'imaginer [] -) [192] [193 -] +Package natbib Warning: Citation `GC88' on page 192 undefined on input line 133 +. + +) [192] \openout2 = `Annexe-Maree/Annexe-Maree.aux'. - (./Annexe-Maree/Annexe-Maree.tex [194 - - - - -] + (./Annexe-Maree/Annexe-Maree.tex Appendix J. Underfull \hbox (badness 5260) in paragraph at lines 7--8 @@ -3340,27 +3481,33 @@ Underfull \hbox (badness 5260) in paragraph at lines 7--8 [] File: ./Annexe-Maree/Images/Maree.eps Graphic file (type eps) -<./Annexe-Maree/Images/Maree.eps> [195 +<./Annexe-Maree/Images/Maree.eps> [193 + + ] (./Annexe-Maree/Images/Systterrelune.pst) -(./Annexe-Maree/Images/Systterreluneeau.pst) [196] +(./Annexe-Maree/Images/Systterreluneeau.pst) [194] Underfull \hbox (badness 3803) in paragraph at lines 85--87 \T1/cmr/m/n/10 Pour établir l'équation J.6[], on a util-isé le [] -[197] +[195] File: ./Annexe-Maree/Images/Decalages.eps Graphic file (type eps) <./Annexe-Maree/Images/Decalages.eps> File: ./Annexe-Maree/Images/ViveMorteEau.eps Graphic file (type eps) -<./Annexe-Maree/Images/ViveMorteEau.eps> [198] +<./Annexe-Maree/Images/ViveMorteEau.eps> [196] Underfull \hbox (badness 2573) in paragraph at lines 142--143 []\T1/cmr/m/n/10 Au périgée, la dis-tance Terre-Lune vaut : [] -[199] + +Package natbib Warning: Citation `BS07' on page 197 undefined on input line 172 +. + +[197] File: ./Annexe-Maree/Images/Roche.eps Graphic file (type eps) <./Annexe-Maree/Images/Roche.eps> File: ./Annexe-Maree/Images/LimiteRoche1.eps Graphic file (type eps) @@ -3377,14 +3524,14 @@ File: ./Annexe-Maree/Images/LimiteRoche4.eps Graphic file (type eps) <./Annexe-Maree/Images/LimiteRoche4.eps> File: ./Annexe-Maree/Images/LimiteRoche5.eps Graphic file (type eps) -<./Annexe-Maree/Images/LimiteRoche5.eps> [200] +<./Annexe-Maree/Images/LimiteRoche5.eps> [198] Underfull \vbox (badness 4582) has occurred while \output is active [] -) [201] +) [199] \openout2 = `Annexe-Energies/Annexe-Energies.aux'. -(./Annexe-Energies/Annexe-Energies.tex [202 +(./Annexe-Energies/Annexe-Energies.tex [200 @@ -3397,10 +3544,10 @@ Underfull \hbox (badness 1077) in paragraph at lines 34--35 []\T1/cmr/m/n/10 On peut alors éval-uer ap-prox-i-ma-tive-ment le [] -[203 +[201 -] [204] [205]) [206 +] [202] [203]) [204 ] \openout2 = `Annexe-Exercices/Annexe-Exercices.aux'. @@ -3457,7 +3604,7 @@ Underfull \hbox (badness 2717) in paragraph at lines 109--109 Underfull \vbox (badness 10000) has occurred while \output is active [] - [207 + [205 @@ -3472,7 +3619,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 273--273 []\T1/cmr/bx/n/12 Relatif à la no-tion [] -[208] +[206] Underfull \hbox (badness 2285) in paragraph at lines 299--300 []\T1/cmr/m/n/10 Un avion s'approche d'un porte-avions à [] @@ -3487,7 +3634,7 @@ Underfull \hbox (badness 1292) in paragraph at lines 405--419 []\T1/cmr/m/n/10 Calculez la valeur de l'accélération (ici une [] -[209] +[207] Underfull \hbox (badness 3460) in paragraph at lines 517--528 []\T1/cmr/m/n/10 Une moto passe de $[]$ à [] @@ -3547,7 +3694,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 648--649 [] [] -[210] (./Annexe-Exercices/Images/Poulie.tex) [211] +[208] (./Annexe-Exercices/Images/Poulie.tex) [209] (./Annexe-Exercices/Images/pendante.eps_tex File: ./Annexe-Exercices/Images/pendante.eps Graphic file (type eps) @@ -3568,7 +3715,7 @@ Underfull \hbox (badness 3657) in paragraph at lines 1189--1278 []\T1/cmr/m/n/10 Déterminez l'accélération de chaque masse. [] -[212] +[210] Underfull \hbox (badness 1584) in paragraph at lines 1323--1344 []\T1/cmr/m/n/10 Calculez son ac-céléra-tion en fonc-tion de la [] @@ -3593,7 +3740,7 @@ Underfull \hbox (badness 1412) in paragraph at lines 1526--1550 []\T1/cmr/m/n/10 Calculez la masse M de Jupiter en faisant [] -[213] +[211] Underfull \hbox (badness 3460) in paragraph at lines 1660--1661 []\T1/cmr/m/n/10 À l'aide d'un char-iot d'une [] @@ -3604,7 +3751,7 @@ File: ./Annexe-Exercices/Images/blocsuspendu.eps Graphic file (type eps) <./Annexe-Exercices/Images/blocsuspendu.eps>) Output from handle ans going to Solutions.tex File ans already open -[214] +[212] Underfull \hbox (badness 2343) in paragraph at lines 1887--1895 \T1/cmr/m/n/10 hor-i-zon-tale-ment aug-mente sa vitesse de $[]$ à [] @@ -3645,13 +3792,13 @@ Underfull \hbox (badness 3271) in paragraph at lines 2049--2056 []$ \T1/cmr/m/n/10 d'énergie élec-trique. Il désire [] -[215] (./Solutions.tex [216] [217] +[213] (./Solutions.tex [214] [215] Overfull \hbox (1.67987pt too wide) detected at line 142 \OML/cmm/m/it/10 C \OT1/cmr/m/n/10 = 2 [] \OML/cmm/m/it/10 ^^Y [] r \OMS/cmsy/m /n/10 ^^Y \OT1/cmr/m/n/10 2 [] 3 [] 6[]000 = [] \OMS/cmsy/m/n/10 ^^Y [] [] -[218] +[216] File: ./Annexe-Exercices/Images/GraphesMRU.eps Graphic file (type eps) <./Annexe-Exercices/Images/GraphesMRU.eps> Underfull \hbox (badness 1137) in paragraph at lines 272--273 @@ -3663,17 +3810,17 @@ Underfull \hbox (badness 1852) in paragraph at lines 276--278 \T1/cmr/m/n/10 Les deux po-si-tions sont bien évidem-ment les [] -[219] +[217] Underfull \hbox (badness 2409) in paragraph at lines 304--306 \T1/cmr/m/n/10 d'un MRUA. Comme le mou-ve-ment est une [] -[220] [221] +[218] [219] File: ./Annexe-Exercices/Images/EiffelMecanique.eps Graphic file (type eps) <./Annexe-Exercices/Images/EiffelMecanique.eps> File: ./Annexe-Exercices/Images/Fusee.eps Graphic file (type eps) -<./Annexe-Exercices/Images/Fusee.eps> [222] +<./Annexe-Exercices/Images/Fusee.eps> [220] File: ./Annexe-Exercices/Images/Remorque.eps Graphic file (type eps) <./Annexe-Exercices/Images/Remorque.eps> @@ -3681,14 +3828,14 @@ Underfull \hbox (badness 2277) in paragraph at lines 525--526 []\T1/cmr/m/n/10 Comme on cherche la force néces-saire à [] -[223] +[221] Overfull \hbox (7.06488pt too wide) detected at line 585 \OML/cmm/m/it/10 F[] \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 m [] a \OT1/cmr/m/n/10 = 9\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1 [] 10[] [] 1\OML/cmm/m/it/10 ; \OT1/cmr /m/n/10 5 [] 10[] = [] [] -[224] +[222] File: ./Annexe-Exercices/Images/Ascenseur.eps Graphic file (type eps) <./Annexe-Exercices/Images/Ascenseur.eps> Underfull \hbox (badness 6675) in paragraph at lines 633--634 @@ -3710,45 +3857,45 @@ Underfull \hbox (badness 1342) in paragraph at lines 643--644 \T1/cmr/m/n/10 l'accélération vaut $[]$. La réac-tion [] -[225] +[223] Underfull \hbox (badness 1371) in paragraph at lines 694--695 []\T1/cmr/m/n/10 L'accélération de la voiture est (hy-pothèse [] -[226] +[224] Underfull \hbox (badness 1281) in paragraph at lines 813--814 \T1/cmr/m/n/10 du théorème de con-ser-va-tion de l'énergie mé- [] -[227] +[225] Underfull \hbox (badness 5022) in paragraph at lines 841--843 \T1/cmr/m/n/10 Cette vitesse est un vecteur qui fait avec [] -[228] +[226] Underfull \hbox (badness 1769) in paragraph at lines 897--899 \T1/cmr/m/n/10 Compte tenu des frot-te-ments, l'énergie to-tale [] -[229]) (./SolutionsOS.tex (./Annexe-Exercices/Images/forceinclinee.eps_tex +[227]) (./SolutionsOS.tex (./Annexe-Exercices/Images/forceinclinee.eps_tex File: ./Annexe-Exercices/Images/forceinclinee.eps Graphic file (type eps) -<./Annexe-Exercices/Images/forceinclinee.eps>) [230] +<./Annexe-Exercices/Images/forceinclinee.eps>) [228] (./Annexe-Exercices/Images/lampe.eps_tex File: ./Annexe-Exercices/Images/lampe.eps Graphic file (type eps) <./Annexe-Exercices/Images/lampe.eps>) LaTeX Warning: `h' float specifier changed to `ht'. -[231] (./Annexe-Exercices/Images/incline.eps_tex +[229] (./Annexe-Exercices/Images/incline.eps_tex File: ./Annexe-Exercices/Images/incline.eps Graphic file (type eps) -<./Annexe-Exercices/Images/incline.eps>) [232] +<./Annexe-Exercices/Images/incline.eps>) [230] Underfull \hbox (badness 1024) in paragraph at lines 164--165 []\T1/cmr/m/n/10 Ensuite, le prob-lème se ré-sout de la même [] -[233] [234] (./Annexe-Exercices/Images/cordepoulie.eps_tex +[231] [232] (./Annexe-Exercices/Images/cordepoulie.eps_tex File: ./Annexe-Exercices/Images/cordepoulie.eps Graphic file (type eps) <./Annexe-Exercices/Images/cordepoulie.eps>) @@ -3764,18 +3911,18 @@ s) LaTeX Warning: `h' float specifier changed to `ht'. -[235] [236] [237] (./Annexe-Exercices/Images/inclinefrottement.eps_tex +[233] [234] [235] (./Annexe-Exercices/Images/inclinefrottement.eps_tex File: ./Annexe-Exercices/Images/inclinefrottement.eps Graphic file (type eps) -<./Annexe-Exercices/Images/inclinefrottement.eps>) [238] +<./Annexe-Exercices/Images/inclinefrottement.eps>) [236] (./Annexe-Exercices/Images/blocsuspenduforces.eps_tex File: ./Annexe-Exercices/Images/blocsuspenduforces.eps Graphic file (type eps) -<./Annexe-Exercices/Images/blocsuspenduforces.eps>)) [239]) +<./Annexe-Exercices/Images/blocsuspenduforces.eps>)) [237]) \openout2 = `Annexe-Incertitudes/Annexe-Incertitudes.aux'. -(./Annexe-Incertitudes/Annexe-Incertitudes.tex [240 +(./Annexe-Incertitudes/Annexe-Incertitudes.tex [238 @@ -3792,10 +3939,10 @@ Underfull \hbox (badness 1264) in paragraph at lines 6--7 \T1/cmr/m/n/10 cromètre, soit $[]$, en nanomètre, [] -[241 +[239 -] [242] +] [240] \openout7 = `CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot'. Opening gnuplot stream CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot @@ -3807,7 +3954,7 @@ n input line 175. (./CoursMecaniqueOSDF-gnuplottex-fig1.tex \plotpoint=\box92 -) [243] +) [241] Underfull \hbox (badness 3068) in paragraph at lines 190--191 []\T1/cmr/m/n/10 Avec les in-cer-ti-tudes, on va s'intéresser à [] @@ -3817,7 +3964,7 @@ Underfull \hbox (badness 2753) in paragraph at lines 190--191 \T1/cmr/m/n/10 l'évaluation des ca-pac-ités des in-stru-ments de [] -[244] +[242] Overfull \hbox (10.62454pt too wide) in paragraph at lines 284--284 [] [] @@ -3827,7 +3974,7 @@ Underfull \hbox (badness 2600) in paragraph at lines 299--300 []\T1/cmr/m/n/10 L'incertitude rel-a-tive, comme ex-pres-sion de [] -[245] +[243] Underfull \hbox (badness 1460) in paragraph at lines 324--325 []\T1/cmr/m/n/10 Par ailleurs, un prob-lème se pose quant à [] @@ -3837,10 +3984,10 @@ Underfull \hbox (badness 10000) in paragraph at lines 341--342 \T1/cmr/m/n/10 L'incertitude rel-a-tive est le rap-port en-tre [] -[246] +[244] Underfull \vbox (badness 3557) has occurred while \output is active [] -) [247] +) [245] (./CoursMecaniqueOSDF.ent Underfull \hbox (badness 7415) in paragraph at lines 2--22 \T1/cmtt/m/n/8 hubble . nasa . gov / multimedia / astronomy . php$ \T1/cmr/m/n/ @@ -4049,7 +4196,7 @@ Underfull \hbox (badness 2057) in paragraph at lines 616--624 ommons . [] -[248 +[246 ] Underfull \hbox (badness 10000) in paragraph at lines 626--650 @@ -4184,46 +4331,31 @@ Underfull \hbox (badness 5077) in paragraph at lines 868--883 cmr/m/n/8 ou [] -) [249 +) [247 -] [250 +] [248 ] (./CoursMecaniqueOSDF.bbl -Underfull \hbox (badness 5954) in paragraph at lines 37--43 -[]\T1/cmr/m/sc/10 Delambre\T1/cmr/m/n/10 , J.-B. J. (1821). \T1/cmr/m/it/10 Hi -s-toire de - [] + +Package natbib Warning: Empty `thebibliography' environment on input line 8. + +) (./CoursMecaniqueOSDF.ind [249 -Underfull \hbox (badness 10000) in paragraph at lines 37--43 -\T1/cmr/m/n/10 http://books.google.ch sous ``His-toire de - [] +] [250 -Underfull \hbox (badness 4859) in paragraph at lines 37--43 -\T1/cmr/m/n/10 l'astronomie mod-erne''. Il ex-iste aussi son - [] +] [251] [252] [253] [254] [255] [256] +[257] [258 +]) (./CoursMecaniqueOSDF.gnuploterrors) -Underfull \hbox (badness 1325) in paragraph at lines 140--152 -\T1/cmr/m/n/10 Ou-vrage très com-plet et très math-é-ma-tique - [] +Package natbib Warning: There were undefined citations. -[251 - - -]) (./CoursMecaniqueOSDF.ind [252 - -] [253 - -] [254] [255] [256] [257] [258] -[259] [260 - -]) (./CoursMecaniqueOSDF.gnuploterrors) (./CoursMecaniqueOSDF.aux -(./Prefaces/Prefaces.aux) (./Introduction/Introduction.aux) -(./Cinematique/Cinematique.aux) (./Dynamique/Dynamique.aux) -(./MecaniqueDim/MecaniqueDim.aux) +(./CoursMecaniqueOSDF.aux (./Prefaces/Prefaces.aux) +(./Introduction/Introduction.aux) (./Cinematique/Cinematique.aux) +(./Dynamique/Dynamique.aux) (./MecaniqueDim/MecaniqueDim.aux) (./MecaniqueDifferentielle/MecaniqueDifferentielle.aux) (./QtiteMvt/QtiteMvt.aux) (./Energie/Energie.aux) (./EnergieOS/EnergieOS.aux) (./Thermodynamique/Thermodynamique.aux) @@ 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