lafrite/2013-2014
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Import work from year 2013-2014

Browse Source
This commit is contained in:
Benjamin Bertrand
2017-06-16 09:46:40 +03:00
commit 32262a4ecf
1788 changed files with 113187 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fiche_vol_aire.pdf Normal file
View File

Binary file not shown.

89
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fiche_vol_aire.tex Normal file
View File

@@ -0,0 +1,89 @@
\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
\usepackage{multicol}
% Title Page
\title{Volumes et aires- Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{fancy}
\section{Aires}
\begin{multicols}{2}
\begin{itemize}
\item \textbf{Carré:}\\
\includegraphics[scale=0.2]{./fig/carre} \\[0.5cm] Aire: \parbox{2cm}{\dotfill}
\item \textbf{Rectangle:}\\
\includegraphics[scale=0.2]{./fig/rectangle} \\[0.5cm] Aire: \parbox{2cm}{\dotfill}
\item \textbf{Triangle:}\\
\includegraphics[scale=0.2]{./fig/triangle} \\[0.5cm] Aire: \parbox{2cm}{\dotfill}
\item \textbf{Disque:}\\
\includegraphics[scale=0.2]{./fig/cercle} \\[0.5cm] Aire: \parbox{2cm}{\dotfill}
\end{itemize}
\end{multicols}
\section{Volumes}
\begin{itemize}
\begin{multicols}{2}
\item \textbf{Pavé droit:}\\
\includegraphics[scale=0.2]{./fig/pave} \\[0.5cm] Volume: \parbox{2cm}{\dotfill}
\item \textbf{Sphère:}\\
\includegraphics[scale=0.3]{./fig/shpere} \\[0.5cm] Volume: \parbox{2cm}{\dotfill}
\end{multicols}
\eject
\item \textbf{Prisme:}\\
\begin{eqnarray*}
V = \mbox{Aire de la Base } \times \mbox{ hauteur}
\end{eqnarray*}
\begin{multicols}{2}
\textbf{Cylindre:}\\
\includegraphics[scale=0.25]{./fig/cylindre} \\[0.5cm] Volume: \parbox{2cm}{\dotfill}
\textbf{Primse à base triangulaire:}\\
\includegraphics[scale=0.25]{./fig/prisme_b_triange} \\[0.5cm] Volume: \parbox{2cm}{\dotfill}
\end{multicols}
\item \textbf{Cône:}\\
\begin{eqnarray*}
V = \frac{\mbox{Aire de la Base } \times \mbox{ hauteur}}{3}
\end{eqnarray*}
\begin{multicols}{2}
\textbf{Cône:}\\[-1cm]
\includegraphics[scale=0.3]{./fig/cone} \hfill Volume: \parbox{2cm}{\dotfill}\hspace{2cm}
\textbf{Pyramide:}\\[-1cm]
\includegraphics[scale=0.3]{./fig/pyramide} \hfill Volume: \parbox{2cm}{\dotfill}\hspace{2cm}
\end{multicols}
\eject
\end{itemize}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fiche_vol_aire_sol.pdf Normal file
View File

Binary file not shown.

97
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fiche_vol_aire_sol.tex Normal file
View File

@@ -0,0 +1,97 @@
\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
\usepackage{multicol}
% Title Page
\title{Volumes et aires- Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{fancy}
\section{Aires}
\begin{multicols}{2}
\begin{itemize}
\item \textbf{Carré:}\\
\includegraphics[scale=0.2]{./fig/carre} \\[0.5cm] Aire: $L \times L$
\item \textbf{Rectangle:}\\
\includegraphics[scale=0.2]{./fig/rectangle} \\[0.5cm] Aire: $L \times h$
\columnbreak
\item \textbf{Triangle:}\\
\includegraphics[scale=0.2]{./fig/triangle} \\[0.5cm] Aire: $\displaystyle\frac{h \times b}{2}$
\item \textbf{Disque:}\\
\includegraphics[scale=0.2]{./fig/cercle} \\[0.5cm] Aire: $\pi \times r^2$ \\[0.5cm] Périmètre = $2\times \pi\times r$
\end{itemize}
\end{multicols}
\section{Volumes}
\begin{itemize}
\begin{multicols}{2}
\item \textbf{Pavé droit:}\\
\includegraphics[scale=0.2]{./fig/pave} \\[0.5cm] Volume: $a \times b \times h$
\item \textbf{Sphère:}\\
\includegraphics[scale=0.3]{./fig/shpere} \\[0.5cm] Volume: $\displaystyle\frac{4}{3} \times \pi \times r^3$
\end{multicols}
\eject
\item \textbf{Prisme:}\\
\begin{eqnarray*}
V = \mbox{Aire de la Base } \times \mbox{ hauteur}
\end{eqnarray*}
\begin{multicols}{2}
\textbf{Cylindre:}\\
\includegraphics[scale=0.25]{./fig/cylindre} \\[0.5cm] Volume: \parbox{2cm}{\dotfill}
\textbf{Primse à base triangulaire:}\\
\includegraphics[scale=0.25]{./fig/prisme_b_triange} \\[0.5cm] Volume: \parbox{2cm}{\dotfill}
\end{multicols}
\item \textbf{Cône:}\\
\begin{eqnarray*}
V = \frac{\mbox{Aire de la Base } \times \mbox{ hauteur}}{3}
\end{eqnarray*}
\begin{multicols}{2}
\textbf{Cône:}\\[-1cm]
\includegraphics[scale=0.3]{./fig/cone} \hfill Volume: \parbox{2cm}{\dotfill}\hspace{2cm}
\textbf{Pyramide:}\\[-1cm]
\includegraphics[scale=0.3]{./fig/pyramide} \hfill Volume: \parbox{2cm}{\dotfill}\hspace{2cm}
\end{multicols}
\eject
\end{itemize}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/carre.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/cercle.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/cone.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/cube.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/cylindre.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/pave.pdf Normal file
View File

Binary file not shown.

151
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/pave.svg Normal file
View File

@@ -0,0 +1,151 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="1052.3622"
height="744.09448"
id="svg2"
version="1.1"
inkscape:version="0.48.4 r9939"
sodipodi:docname="pave.pdf">
<defs
id="defs4">
<inkscape:perspective
sodipodi:type="inkscape:persp3d"
inkscape:vp_x="-610.72082 : 143.94094 : 0"
inkscape:vp_y="0 : 1160.6666 : 0"
inkscape:vp_z="610.72084 : 143.94094 : 0"
inkscape:persp3d-origin="540.54836 : 194.05409 : 1"
id="perspective3753" />
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.66707072"
inkscape:cx="348.4884"
inkscape:cy="372.02236"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
fit-margin-top="10"
fit-margin-left="10"
fit-margin-right="10"
fit-margin-bottom="10"
inkscape:window-width="1280"
inkscape:window-height="974"
inkscape:window-x="-8"
inkscape:window-y="-8"
inkscape:window-maximized="1" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Calque 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(0,-308.2677)">
<g
id="g3781"
transform="matrix(1.1606666,0,0,1.1606666,-96.271643,-148.32939)">
<g
inkscape:corner7="0.027110274 : -0.14621243 : 0.47213253 : 1"
inkscape:corner0="0.57399102 : 0.33484946 : 0 : 1"
inkscape:perspectiveID="#perspective3753"
id="g3755"
style="fill:#afafde;fill-opacity:0.42671012;stroke:#000000;stroke-width:4;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:4, 16;stroke-dashoffset:0"
sodipodi:type="inkscape:box3d">
<path
d="m 495.07146,402.70728 287.75831,67.82183 0,481.06189 -287.75831,-67.82183 z"
inkscape:box3dsidetype="11"
style="stroke:none"
id="path3767"
sodipodi:type="inkscape:box3dside" />
<path
d="m 246.64424,461.25915 0,481.06189 248.42722,-58.55187 0,-481.06189 z"
inkscape:box3dsidetype="6"
style="fill:#8f8fc4;fill-opacity:0.6286645"
id="path3757"
sodipodi:type="inkscape:box3dside" />
<path
d="M 246.64424,942.32104 534.40255,1010.1429 782.82977,951.591 495.07146,883.76917 z"
inkscape:box3dsidetype="13"
style="fill:#afafde;fill-opacity:0.42671012;stroke:#000000;stroke-width:4;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:4, 16;stroke-dashoffset:0"
id="path3765"
sodipodi:type="inkscape:box3dside" />
<path
d="M 246.64424,461.25915 534.40255,529.08098 782.82977,470.52911 495.07146,402.70728 z"
inkscape:box3dsidetype="5"
style="fill:none;stroke:#000000;stroke-width:4;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3759"
sodipodi:type="inkscape:box3dside" />
<path
d="m 534.40255,529.08098 0,481.06192 248.42722,-58.5519 0,-481.06189 z"
inkscape:box3dsidetype="14"
style="fill:none;stroke:#000000;stroke-width:4;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
id="path3763"
sodipodi:type="inkscape:box3dside" />
<path
d="m 246.64424,461.25915 287.75831,67.82183 0,481.06192 -287.75831,-67.82186 z"
inkscape:box3dsidetype="3"
style="fill:none;stroke:#000000;stroke-width:4;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
id="path3761"
sodipodi:type="inkscape:box3dside" />
</g>
<text
transform="translate(0,308.2677)"
sodipodi:linespacing="125%"
id="text3769"
y="706.61719"
x="340.29376"
style="font-size:40px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Arial;-inkscape-font-specification:Arial"
xml:space="preserve"><tspan
y="706.61719"
x="340.29376"
id="tspan3771"
sodipodi:role="line">a</tspan></text>
<text
sodipodi:linespacing="125%"
id="text3773"
y="1025.3785"
x="676.09021"
style="font-size:40px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Arial;-inkscape-font-specification:Arial"
xml:space="preserve"><tspan
y="1025.3785"
x="676.09021"
id="tspan3775"
sodipodi:role="line">b</tspan></text>
<text
transform="translate(0,308.2677)"
sodipodi:linespacing="125%"
id="text3777"
y="405.29984"
x="815.50574"
style="font-size:40px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Arial;-inkscape-font-specification:Arial"
xml:space="preserve"><tspan
y="405.29984"
x="815.50574"
id="tspan3779"
sodipodi:role="line">h</tspan></text>
</g>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 6.0 KiB

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/prisme_b_triange.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/pyramide.pdf Normal file
View File

Binary file not shown.

190
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/pyramide.svg Normal file
View File

@@ -0,0 +1,190 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="1052.3622"
height="744.09448"
id="svg2"
version="1.1"
inkscape:version="0.48.4 r9939"
sodipodi:docname="cone.pdf">
<defs
id="defs4">
<marker
inkscape:stockid="Arrow1Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mend"
style="overflow:visible;">
<path
id="path3848"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;"
transform="scale(0.4) rotate(180) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mstart"
style="overflow:visible">
<path
id="path3845"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.4) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Lend"
style="overflow:visible;">
<path
id="path3860"
style="fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round;"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(1.1) rotate(180) translate(1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Lstart"
style="overflow:visible">
<path
id="path3857"
style="fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(1.1) translate(1,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lstart"
style="overflow:visible">
<path
id="path3839"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.8) translate(12.5,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Sstart"
style="overflow:visible">
<path
id="path3851"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.2) translate(6,0)" />
</marker>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.94338046"
inkscape:cx="337.4595"
inkscape:cy="396.9919"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1280"
inkscape:window-height="974"
inkscape:window-x="-8"
inkscape:window-y="-8"
inkscape:window-maximized="1" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Calque 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(0,-308.2677)">
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="M 395.38661,566.97998 222.60372,892.65829"
id="path3773"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:2.84769917;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Mstart);marker-end:url(#Arrow1Mend)"
d="m 392.20656,593.75027 0,255.22243"
id="path3833"
inkscape:connector-curvature="0" />
<text
xml:space="preserve"
style="font-size:40px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Arial;-inkscape-font-specification:Arial"
x="403.86673"
y="758.73724"
id="text5277"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5279"
x="403.86673"
y="758.73724">h</tspan></text>
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="m 394.8566,568.33766 77.3813,326.73833"
id="path3773-8"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<g
id="g5366"
transform="matrix(1.549757,0,0,1.549757,-78.73581,155.19056)">
<path
transform="translate(0,308.2677)"
inkscape:connector-curvature="0"
id="path5346"
d="m 192.92322,169.56488 c 5.30009,-1.06002 162.18271,0 162.18271,0 l 81.62137,-59.36099"
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
inkscape:connector-curvature="0"
id="path5346-4"
d="m 436.7273,418.47159 c -5.30009,1.06002 -162.18271,0 -162.18271,0 l -81.62137,59.36099"
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:3, 9;stroke-dashoffset:0" />
</g>
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="M 393.79657,570.98771 596.25996,803.38445"
id="path3773-8-5"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:3.48850346,10.46551037;stroke-dashoffset:0"
d="M 393.79658,570.4577 347.1558,803.91446"
id="path3773-8-5-5"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 7.1 KiB

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/pyramide_triangle.pdf Normal file
View File

Binary file not shown.

187
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/pyramide_triangle.svg Normal file
View File

@@ -0,0 +1,187 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="1052.3622"
height="744.09448"
id="svg2"
version="1.1"
inkscape:version="0.48.4 r9939"
sodipodi:docname="pyramide.svg">
<defs
id="defs4">
<marker
inkscape:stockid="Arrow1Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mend"
style="overflow:visible;">
<path
id="path3848"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;"
transform="scale(0.4) rotate(180) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mstart"
style="overflow:visible">
<path
id="path3845"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.4) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Lend"
style="overflow:visible;">
<path
id="path3860"
style="fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round;"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(1.1) rotate(180) translate(1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Lstart"
style="overflow:visible">
<path
id="path3857"
style="fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(1.1) translate(1,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lstart"
style="overflow:visible">
<path
id="path3839"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.8) translate(12.5,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Sstart"
style="overflow:visible">
<path
id="path3851"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.2) translate(6,0)" />
</marker>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.94338046"
inkscape:cx="337.4595"
inkscape:cy="396.9919"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1280"
inkscape:window-height="974"
inkscape:window-x="-8"
inkscape:window-y="-8"
inkscape:window-maximized="1" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Calque 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(0,-308.2677)">
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="M 395.38661,566.97998 222.60372,892.65829"
id="path3773"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:2.84769917;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Mstart);marker-end:url(#Arrow1Mend)"
d="m 392.20656,593.75027 0,255.22243"
id="path3833"
inkscape:connector-curvature="0" />
<text
xml:space="preserve"
style="font-size:40px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Arial;-inkscape-font-specification:Arial"
x="403.86673"
y="758.73724"
id="text5277"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5279"
x="403.86673"
y="758.73724">h</tspan></text>
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="M 394.8566,568.33766 543.25909,885.53583"
id="path3773-8"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:3.48850346;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:3.48850346,10.46551037;stroke-dashoffset:0"
d="M 393.79658,570.4577 347.1558,803.91446"
id="path3773-8-5-5"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<g
id="g5805"
transform="translate(22.260371,434.60727)">
<path
transform="translate(0,308.2677)"
inkscape:connector-curvature="0"
id="path5417"
d="m 199.28333,149.42454 322.24539,-5.30009"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0;marker-end:none"
sodipodi:nodetypes="cc" />
<path
sodipodi:nodetypes="ccc"
transform="translate(0,308.2677)"
inkscape:connector-curvature="0"
id="path5419"
d="M 199.28333,149.42455 325.42544,62.50309 534.24893,147.30451"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:4, 16;stroke-dashoffset:0" />
</g>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 6.8 KiB

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/rectangle.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/shpere.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Geometrie_3D/fiche_vol_aire/fig/triangle.pdf Normal file
View File

Binary file not shown.

43
3e/Geometrie/Geometrie_3D/fiche_vol_aire/index.rst Normal file
View File

@@ -0,0 +1,43 @@
Notes sur un fiche de résumé des volumes et des aires
#####################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Mémo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers fiche_vol_aire.tex <fiche_vol_aire.tex>`_
`Lien vers fiche_vol_aire_sol.tex <fiche_vol_aire_sol.tex>`_
`Lien vers fiche_vol_aire.pdf <fiche_vol_aire.pdf>`_
`Lien vers fiche_vol_aire_sol.pdf <fiche_vol_aire_sol.pdf>`_
`Lien vers fig/cone.pdf <fig/cone.pdf>`_
`Lien vers fig/prisme_b_triange.pdf <fig/prisme_b_triange.pdf>`_
`Lien vers fig/shpere.pdf <fig/shpere.pdf>`_
`Lien vers fig/pyramide.pdf <fig/pyramide.pdf>`_
`Lien vers fig/cube.pdf <fig/cube.pdf>`_
`Lien vers fig/cylindre.pdf <fig/cylindre.pdf>`_
`Lien vers fig/pyramide_triangle.pdf <fig/pyramide_triangle.pdf>`_
`Lien vers fig/cercle.pdf <fig/cercle.pdf>`_
`Lien vers fig/rectangle.pdf <fig/rectangle.pdf>`_
`Lien vers fig/triangle.pdf <fig/triangle.pdf>`_
`Lien vers fig/pave.pdf <fig/pave.pdf>`_
`Lien vers fig/carre.pdf <fig/carre.pdf>`_

BIN
3e/Geometrie/Thales/Conn0202/Conn0202.pdf Normal file
View File

Binary file not shown.

51
3e/Geometrie/Thales/Conn0202/Conn0202.tex Normal file
View File

@@ -0,0 +1,51 @@
\documentclass{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classConn}
% Title Page
\title{}
\author{}
\date{}
\usepackage{pstricks-add}
\begin{document}
\begin{multicols}{2}
Nom - Prénom:
\section{Connaissance}
\begin{enumerate}
\item Énoncer la réciproque du théorème de Thales avec les lettres du dessin ci dessous
\includegraphics[scale=0.5]{./fig/Thales_base1}
~\\[4cm]
\item Écrire les deux identités remarquables
\end{enumerate}
\columnbreak
Nom - Prénom
\section{Connaissance}
\begin{enumerate}
\item Énoncer la réciproque du théorème de Thales avec les lettres du dessin ci dessous
\includegraphics[scale=0.5]{./fig/Thales_base2}
~\\[4cm]
\item Écrire les deux identités remarquables
\end{enumerate}
\end{multicols}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Thales/Conn0202/fig/Thales_base.ggb Normal file
View File

Binary file not shown.

159
3e/Geometrie/Thales/Conn0202/fig/Thales_base.pdf Normal file
View File

@@ -0,0 +1,159 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201165052+01'00')
/ModDate (D:20140201165052+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!Sl]<3,4%.3d>jp.XE6+tE?!R`8C;?mTJ7^*Bn./`s&LSSNp`]&UVeVsT>I7AT(;C!PKN0/JB@Yjfc
I_H-^25`-Sh[4i&p&=4LfBk-akuN*::]+>)LoNS'r/O"uI_#CX45YM]q"*OLC&@DG`MEP3rSd/45CJ#S
Dgd-,,8gFd?XKXK%Ib:O28Eu//AP)YA[tomo:pC).YTCn2WVfmEQdaV#s1&*LFl&pS>:Q@hY`BcGa6'I
T7hZ?V'9rYr7C+9g4$iphf#VTI+hcO:&8tTZ%Uo@DsDB<o.?4>id?WJdDA#(XFFlN@5JF7lJBi(E^#>E
$Baln!M>INMYq*l@D!VIIn*`i9,Ot2Q@^O*Ki)k"D-7]dC;Nt/WNI\]6WP)+eMN;T$RM-^N$,]J9='YR
>sku7?Iu3I2!&9B`GP9oqtr\"_eWg+2:SlWae9u7O4f.p9/Qt=*'pOLEl(=lG#o:JA):+OTh`#B6^!.s
;'eo;\*-0gVID\t:PFI>*b(MsJ70iHoh/eM4RpP.ot+0K:iqdoEnYL>X_n1ER:B:-.e'WWMXED8Ct.*=
&^<U_TsS>N7j_qaUAGIE%7/RYY17RB4Rmj1\DMf20@dH!fIZ5O'I$'5_W\Ni:a+8.8F4r"7ab4+8c,n>
`#`"SU?FkS@HJoEKhI?2*l_/)"/tab,K`V,rOJBM.C;Jrkgq$DZ^KXJ*-hG@Q;"<_mm1MT22n?1F$)Ds
Q=`F3gMRftbqopm[?Mf<jG\sMR`3kiAM'@YC6:i(VEGHsUNSdn7>KX?@*.]Qo*Z&Li-ip1lq6u!X0'PB
do$lK[B%nnCGRFf0-W5ud<p#t!L9Y^iP6%:6*<CQ'B]?IM.JN%nhj1MF+BB_"+Qp$bii"q$gmb5N)[)B
9bTTIT6@K?;=1sHe6$LE;5tU5Mm";I2m9l0FYM32AQU"NU)lJTZ)_0+;DU9HeRuUu^27%ajpaBb,rFHn
G)SPD/]0Ai`Qm#hWi[_]6WQ1OpXOZ>bQkbEFe$A9gTHr>G12UsYJ*%mRc@rQeQ^b>&-&J_QZ6-Y]]G15
X:3u@m[_%a"#Fg-;[sX#7*<@a2-^TI,p6.;]7Ce>8rPcr;;jM01G7Xro^4-^o\"4n(%7SGo_,X2X_O2(
E(6$B7M`i"CZp5(O(\Ci-//$;a.;U2&`Yok^tQM_l&Eo51M2J2RE3%'.JCJW%NhF"R(Cqi3@Z:fZALH-
H.U9AMqr9VRD4+!;7\R3#^3q>m[*]"@O/?rjlejc)C$kNH`@e(&C1ATQlHjrQdunrj<[$R>44fd[hro*
NMEd]3u/<<U1h(Tec7[mR(8N1s/56NWTl?!7<F9#kai94n>gAsMYY/RW[aH7]qhV(4Vih3Q,K?fE+"s1
XJ<Y^;qA4AJ0t#'ki>\r?p?]7ESs:q4^#l<Ve*;L(AETH)S5D52uL2PLYY$JNbH?a(`l\td)(E:gmgIP
'o>is+30AD.=utQluRZZk*'C@fVPZZd9TkCj^bhO=nh3^j.n\1G$gfWmlp[$VD&KjoPA7@UgFt(BN#]`
:d!PD=M*!9M;tLYh1@P'8Z6Ci!)Q+6P[SF"m6;!*%iU\+Y1F'(3j(<E1jNesh(E<$bF2L+!b%g_O[ZML
)S0;8e!ZGR4]$+Gfh@!PjFn\eWTZ:]oUUgCDiJ:qbd60%Em]*'1.1uPd,K5uF`2K2,'8bM^tI\8bZ-U6
QM$][!,tmPoR*rR.7?4N(>lB/P/h)-EJ`"f]S^S<0?CX@IsU+uE%50d^$-7@X&ZI-q(92;]u/$mYOZ9%
e6FE5XCL*$o!UAZ5MBt&feosK[@T5@amP'Mrr0fbWQ46A'd7hVBZ8S,og*$]n\gCjqU"l-%)9S31TS^j
U%8GjCmBYN"lhJr]$']Up'%U"_2Ias0>=NBIf[F6PHt~>
endstream
endobj
8 0 obj
1908
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000002718 00000 n
0000003149 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000002694 00000 n
0000003074 00000 n
0000002889 00000 n
0000002930 00000 n
0000003239 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3383
%%EOF

BIN
3e/Geometrie/Thales/Conn0202/fig/Thales_base1.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 47 KiB

BIN
3e/Geometrie/Thales/Conn0202/fig/Thales_base2.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 58 KiB

BIN
3e/Geometrie/Thales/demo_recip/demo_recip.pdf Normal file
View File

Binary file not shown.

128
3e/Geometrie/Thales/demo_recip/demo_recip.tex Normal file
View File

@@ -0,0 +1,128 @@
\documentclass[a4paper,12pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
% Title Page
\titre{Démonstration de la réciproque de Pythagore}
% \quatreC \quatreD \troisB \troisPro
\classe{\troisB}
\date{03 février 2014}
%\fancyhead[L]{<++classes++> : \Thetitle}
\begin{document}
\maketitle
Le but de cette fiche d'exercices est de démontrer la réciproque du théorème de Thalès. Rappelons cette réciproque.
\begin{center}
\begin{minipage}[c]{0.4\textwidth}
\begin{center}
\includegraphics[scale=0.5]{./fig/Thales_base.pdf}
\end{center}
\end{minipage}
\begin{minipage}[c]{0.5\textwidth}
Si
\begin{itemize}
\item .\dotfill
\item .\dotfill
\item .\dotfill
\end{itemize}
Alors \\[0.2cm]
.\dotfill
\end{minipage}
\end{center}
Dans toutes les questions suivantes, nous pourrons utiliser les hypothèses. Et le but à atteindre sera la conclusion de ce théorème.
\paragraph{Rappel:} Cette démonstration est basée sur des calculs d'aires.
\begin{center}
\begin{minipage}[c]{0.4\textwidth}
\begin{center}
\includegraphics[scale=0.08]{./fig/aireTriangle.pdf}
\end{center}
\end{minipage}
\begin{minipage}[c]{0.5\textwidth}
\begin{eqnarray*}
\mathcal{A}\mbox{ire} = \frac{ .. .. .. \times .. .. .. }{ .. .. ..}
\end{eqnarray*}
\end{minipage}
\end{center}
\section*{Démonstration}
\begin{center}
\begin{minipage}[c]{0.3\textwidth}
\begin{center}
\includegraphics[scale=0.5]{./fig/Thales_ADC.pdf}
\end{center}
\end{minipage}
\begin{minipage}[c]{0.65\textwidth}
\begin{enumerate}
\item
\begin{enumerate}
\item Exprimer l'aire du triangle $ACD$ (notée $\mathcal{A}_{ACD}$) en fonction de $CM$ et $DA$.
\item Exprimer l'aire du triangle $ABC$ (notée $\mathcal{A}_{ABC}$) en fonction de $CM$ et $BA$.
\item Exprimer $\displaystyle \frac{\mathcal{A}_{ACD}}{\mathcal{A}_{ABC}}$ (simplifier la fraction le plus possible).
\end{enumerate}
\end{enumerate}
\end{minipage}
\end{center}
\begin{center}
\begin{minipage}[c]{0.4\textwidth}
\begin{center}
\includegraphics[scale=0.5]{./fig/Thales_ABE.pdf}
\end{center}
\end{minipage}
\begin{minipage}[c]{0.5\textwidth}
\begin{enumerate}[start=2]
\item En reproduisant ce qui a été faire à la première question, exprimer $\displaystyle \frac{\mathcal{A}_{ABE}}{\mathcal{A}_{ABC}}$.
\end{enumerate}
\end{minipage}
\end{center}
\begin{enumerate}[start=3]
\item Démontrer que $\mathcal{A}_{ACD} = \mathcal{A}_{ABE}$.
\begin{minipage}[h]{0.4\textwidth}
\includegraphics[scale=0.5]{./fig/Thales_DEB.pdf}
\end{minipage}
\begin{minipage}[h]{0.4\textwidth}
\includegraphics[scale=0.5]{./fig/Thales_DEC.pdf}
\end{minipage}
\item
\begin{enumerate}
\item En faisant un bon découpage, démontrer que $\mathcal{A}_{BED} = \mathcal{A}_{DEC}$.
\item Exprimer $\mathcal{A}_{DEB}$ en fonction de $DE$ et $BI$.
\item Exprimer $\mathcal{A}_{DEC}$ en fonction de $DE$ et $CJ$.
\item Démontrer que $BI = CJ$.
\end{enumerate}
\end{enumerate}
\begin{center}
\begin{minipage}[c]{0.3\textwidth}
\begin{center}
\includegraphics[scale=0.5]{./fig/Thales_BCJI.pdf}
\end{center}
\end{minipage}
\begin{minipage}[c]{0.65\textwidth}
\begin{enumerate}[start=5]
\item
\begin{enumerate}
\item Démontrer que $BCIJ$ est un rectangle.
\item Conclure la démonstration, démontrer que $(BC)$ est parallèle à $(DE)$.
\end{enumerate}
\end{enumerate}
\end{minipage}
\end{center}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

177
3e/Geometrie/Thales/demo_recip/fig/Thales_ABE.pdf Normal file
View File

@@ -0,0 +1,177 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201165256+01'00')
/ModDate (D:20140201165256+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!SlbDmi:%(u=9oFGb9l$OR5+`W,pE(2Fa/(B2r*;9,`YatHU7^-VQ1p"(LM+ZM?G1o\mL#/XXf-N!C
2h+!oHR^cBeuf=oG^=_Mr,t(-^0X]1@Dhhr;c]1\P[EsYb7BqH@-=Son%X>J0j[*DEAHcC^OLY/r;1Cb
n^6r`&&J$&m.EdSB*Z`mS/j]s^`3b/=32iU%j*jQ02acNX?@Xb33H-iLTk7J\3#:eLe1j4i8J_s_6X9)
qBY^^1Dq@0n?:0)Gl8EXJ%jE1n`X/?*n'@CQ5$-$5Er_;b9a#,QEc:B?Gea[beGHbd&X`<o^'U26k1E?
5U:1ji"P*HOh^N=oZ)FVF82"GLRt]S`fQJG`(7FrZ:o?qf$%,0WNI\]5unlIe_'Vb'1J71$n#5m:<h5]
Fq)j%m5e>?5r0VL5'a6$DkI%7EHj)FEXARLA!W3#h+-p"ZGe"22msjiB0+ta4KBuDe>$8Y)PISIcpGqi
6_i]rY[/,aC,!&[4n__5ctnI`N5!1`'_hI'Z9gHsf\bsW(BcF-,9>jPiY6.<AhXe)g!&!*rH1i^m?078
WirJmAu@XdS?e.k#&.hHqKI)l6.U7NX(eb_i;7V:^OQ!Mb3@,c1SFl4Lhs1,UZRl&%*;41AA&I.at8>b
[9a5GCs/nd,TUQ"o\?CR0XTop66D)*#HE18LpB%:[]KleKpK4Vl8<//Z^T]=3H4oTOUS7omQkDQ-1n.0
F55F`VIi/BlY75;bqKX9CJ#bfOu#^uhFtY<-u7\`<V$on,Hc$Z*OY319%r'4"I&%%*a`kO"E/(g@5j+b
>AY+pT9beEW&3=Qf\0GlP:$s"4DDI]o757crn,!uAO3J8X-%g\QEiqYZLTkJV6PT6@g.A=iJcts7MDoo
G)T6Q3DC/72`A9-eOAm%Y-Bb6-DO\qU*a57(2o5GF1!gN7&aB1L8),$]U,L=&PA$j=&cVQ>CKec&B5/,
ZK+hB/$'S-lrV$KjL$hI8hIKKkQ]_aNkMU<5uVrM.I1*QB\-6?*pglqlb!".5A9bCh.NXmGOPN0*D^WW
(:d%)EYc7T(is=_W'J0E1%GgLLZC:s+GYlKC]P*iH8Q8/6Aa+1"<!5X?SI.CkZs<QpK;KH(9a0"BQ^Yn
=Otc'_&5Zs)4:_nYG'^m5MkqrPJtQ)'fVGRH&Q`NLUDLMF#PjieX/c`AKolg9QBd.Yk\i1pscSiS>/K(
-EC6Nbc@Tp035^4HN(LV[aLG'HEcs?F?B;2*[@UP1IpUZC@l(H4&_t`L3O5j_I0G&\^[Ki6r3V"eU$PM
\B.igC`K:ng2U_7-<_rYh$O-`&gLJQTDu,o84@`.WZl>8B]tk-IGn71)2e7-S#RkTMs_2o4mtQpFO)3n
V3_:j9P#4jL7Y]2blfkK5$^7JmK3*q&K(fp<7dV)$uoL/]k6e^kc(91)Lo[!ds9U$.Cc,2In'#Xg4gsB
*-"Ccn!1No9mg2)\u#c,1"].R<oou'41g`"SFmSnAieR=;q?0ceUGm3#J8<*iHObiF'TV!128^IJ#/bS
R:okB""7L3G$(fn0o=p<H/=-2V^,f\<</tl5#Skq(Ah3aH;LLJ2'"=ulaY<[eE"u<=1dZ^/o/(n'4_=$
(mtVmYG'^m5OD#sZN_%[3pTAaa>39k%i+d"R!T3<kL<%gd<=)48s6p_.5UbFJJQ^3e$E?-o[#<R!.0K:
102Zd>1AIT!oU(NW;1,KP)-IQ9tl&L,ko@KrT'U$Gfb7s*0;lm^M[0;:;NDtX#ct`[:HO"T:u_MG;u,h
.c5&$c&!4&Fj*ECY#D[8^"qD>?/'M)Q@id0fR:'FhnT%aeMt$-7V'0dBZ?B:oS(0OID_<VHIqX/%GtQ\
)9(_5U@SR*QHDu%K^gs+S'1DGm0t\6_3==*:VL$kaR3OiH9kp//fPiqpMfK*@@_slY.\2n04t'gC;4'.
73A^OJsl+&nf=@oCDHQB<D.`'a1@H+4pMI(F;&TiTiZHhDbo2dmB!^F5O%&I<l0>Uk2jE\o7)-!1;@K$
h2/e7T"MctUR0Gnf9=J"9]%[gLX.&qm4H.e5%enNh4KO6I[WOR8#o2u:Qoa?&i"L?n6Y.Gi2^N<4&&4W
Qa2X`ILU6jWI)73+R?Ybe[3pjnGO0<C;9X*4IHCJB6+Q2qFql\6>dI3oZ!VD=/$*^]WEQ0ff`ierlr">
(V(R;3C5Dj%b]f`h>*T2[*N7^'5=;E9`~>
endstream
endobj
8 0 obj
2221
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
/Alpha2
<<
/ca .25000
/CA .25000
/BM /Normal
/AIS false
>>
/Alpha3
<<
/ca .10000
/CA .10000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000003031 00000 n
0000003690 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000003007 00000 n
0000003615 00000 n
0000003202 00000 n
0000003243 00000 n
0000003780 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3924
%%EOF

177
3e/Geometrie/Thales/demo_recip/fig/Thales_ADC.pdf Normal file
View File

@@ -0,0 +1,177 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201165330+01'00')
/ModDate (D:20140201165330+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!Smaf\l+&Dd(^g`M@B:nEuSOP%BRYXU4,#^%AH7=LkMWpDfiK8:EP4X*=cA(U(IEr!__(9:fToCt+k
4ucc+_6mI5KO:fen!Doa8&G-Le`8W9RlH81ga;uW5@&`JquSlcI=;"cduRr5pr>teq"amKoC_Re\V+V]
:D[I0GL6"O$tfgk%\+P%#J_=$=\=pBoV[Vb`\1d\gK9maC`'\#E]A^eRuP$)#`"e#oa%.lis8sKi5e]H
IX3:bU<EJdk=\pk`S[:@,o8*a-0ZT/0@;-`bOQfPKl<<>Re(qP8ZfLO,an[mdTnBgB%OBXhSj^^8Jrdf
,Cr!1F=$`U^Kc-Rf3!f8.>hoHKG'fRN>!Pu$Hb-Oa\[Z&/5k;&F9SdM0R#n=F&!DRmD*\8atbtugWMHB
\YaN;b(3J$EaLr[O`-ll#B=u?%4&R@Q6=SO5kiZQODH(1-^?7hq3__;:XA;uJpNAK8DWC1&ul<p0fZJK
Nr@s-;hHKjpNV?X>VuuIosVaL'__I(YX16qcu8S0)$(FgUn'EG34Y1gJH_0Q<k'[,YBu/0(D.Wd>Bf&N
NcUpKBa=>?dc<ghn)PAgmEdn<e"6/=n&riOrnW&QVhN`763SPFfifamc2!)&OW%M5]lmR)27O4)?8Gif
ITA+b%V?OLgn:r,Zq.1!F[a`/$5WpkXgh?>h8i3^,\fWY-;g>QjEe4bit%3HPD+,i;c],g$Q?U-)nWuJ
9SdUijl3<)AqOelaU'4%MiuGVBs/].RQ#<>49]@.CE+`mjc1`8D/M.].B8[G?eBl7?IsEhY/CojQ'E5:
9(J])=4Q#AYC!Zk,S>nrBtW-jJ5TJGTjT"k_RR8G#5/'i&rUE;[F]6;Pmr[1(>-qpS.Y.'d6qc_#=^,0
SApDLl^M.LW`Q_uCFIE7Bi2rf;:Ai=(2o5GF13mN7&a</\t\I[]R<ej#c1"p.EYl-/\eDl7)fZ`il)YX
$7eRcgCg3JG59;:=L.<C\q3u8Z.IfVi/Bb.U`DG+?C-p5*9;iG41(%(G2R0A\Z\bBn)"#03aTa9RH"o1
Ou(ScJMDB"KF3[*,eE=rHAJAR,B>a_&dprMmAL4u<%'Kt=@@o(if=qn1%_Us>5)0>?l#r9hUSpRop3!a
.r7\;9T.,IBs45raZnYPl\`1AH,Z'1BHCY'fO6AhJZ4WpeRFgJ2J")]7S@ap27*)i(&1bI%W7q-"-$?$
A219XOa44S%G(,PXkHBKMq!C0?:EJ0J*&J;RPf/.c6>dM'AJqT#ptK&!);Zn'g.g\(%j7Y^'0d.RjN#.
X#2d;V.oV<_T#:1/N1i\!*9dX=2HrsDPrT%C@t"-Pp%&lVG/018fPBOrpZf-MRlk@_<ZBUBgWi-7&TZt
@$W8/5`)0^mD(%MS33F@SPur3qGrHs"s-amS!=cK[Z'q(iq^r"6e=3pL2X!]YdlRLMMD._k)m%\:#%_f
``RMiM!pf-\8HCa&`dH+O*03:#L9iC9A4qc:LS:@KA8:tLXr`b%\2o/pXLnombNAp$faQCc)*7foFiG_
Xm9Er`RA[Z[42EYiV5thDdbQ%,\4;_!),h0Uh40Ym:-1^6(Kc1FhAja^mQAn-\hn/je;th>18@(+:PV[
A0+Ek%:)d/Bho)Q)G%C&X=&Qdil!c=<7K[<e/aAaVaai-9X@Jl1$Q;G/VF'CBJCN-4kg]G%gPQ/@.+r&
N)_aG(A/Y;!oU(NW;0iCP)-IQ9mbX]8])Xf\!);Bj&u#)3$;]d^2H!ZSW&n5/NTV72bUNk0h#`fG;u+Q
?+t,6cADIl*LN$W>UF*_Hb#tJ\YaN;jo]6[aF1>5hnT%AeMpPR,6Vp(c1mg84t$is2I)WB2[p;Gn,YmM
c\%f"SHkZf.QdJ?`bW086-n`J"4!4Ke(umPp28OpG9:VJ$_!Df2EY9sYDD0,oka$0g/7D4RpR!(A\V<5
G1"A%/Rg&S8A=+F4"M:8aZ>@<dE=8Zlb(W!hcis]\=D6e0QK+CqKeuDS52;CF6()!Xb?_uR("GMc2[<"
`9hp6hk/!EC$#>57W52iqaopk9-5(ne+G(sHW:$f'oX+%E$c7aIh$FhjR\&bW@Y(nMU;9@?hV5$b(3K7
E_/>Hb0HkmjU;C)@F>Xf[Q?&rc@`h1hH0+=+,:Zi_aS5035.uUD578.T5UR#Zb>Qk`)7"Yg:@eb0Gck0
4MEi)C6!+CS>(F?e>GNc%4Mr89RV]l75+)m#@?L$qp.7i^2a/Z)2u!e~>
endstream
endobj
8 0 obj
2244
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
/Alpha2
<<
/ca .25000
/CA .25000
/BM /Normal
/AIS false
>>
/Alpha3
<<
/ca .10000
/CA .10000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000003054 00000 n
0000003713 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000003030 00000 n
0000003638 00000 n
0000003225 00000 n
0000003266 00000 n
0000003803 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3947
%%EOF

171
3e/Geometrie/Thales/demo_recip/fig/Thales_BCJI.pdf Normal file
View File

@@ -0,0 +1,171 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201170228+01'00')
/ModDate (D:20140201170228+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!SmbDp*j%,KN:g`IZo,gL2I$AfeqJi,$7)51f`@kkaE3HfdWh$B!TeKCQWF5qI\a%;!A;d5SGXSC-A
HkYj^MP7MfAGjEuqs3XqgR7R(Q<Oh\IQ5WI/.\Z9nE8QP\)/@lg[?25I/YEETDlQ\S:CP7o`"TW^;%Y]
^;'OW(B4YG?c?u,nERg>_.s%p_,-pS\O_5Ej0\?W(p5dJ/ghSbY,S!N@Dc^;@12'D-?7dlGJ@VqSi,HM
:P4+E-6lD:r7@9>>^jKg^YNY(ppAPPS+M#"CC[<rh\9/eEf7J`FmLBaf.bJqrpM*WoVud=h>=I3PYNL7
J0aS/YU@A_,ld.2kjSC+^Vd7F,]m0uNBu&`a%3auZHRDG<oGNd<7_i?6)tdrC@"Gc7rcsP$n%Jpc<:!@
Xs(qFXhH84:-$FEEa*1jIJFu'iOLe,&kZN*UlZhW8+/aL`KGg0[NOXD52d_LX"+SC0eG,@:khSU+c9cK
'F=m-Fe)59U=OA'1DCIjBir::#7NogaIat5AB-(r<prot5g`%^B[_]WW+?QCOP"0!Wri72VW`IB_++*7
(#Boi*CZlsG\)u,'@hSoCC%:GX0:Y1kK2SYPPaCPs&;`$O3NUj6mAqE3_%Ar*>p%QKueQ\Zq+@/0l"B;
\Caic?6gQ8Y3<DnART87g-Qm=U]XVGS;=NbEnaY/.ts.b"ne<QF]O^<WXTqt\0ZbYXF$>?Tb;\$cqW<K
'q@')^3,WtULol&VD[NZO>JQ36>tXc6_lSXI+:=_kD3=^-qECE-tR75*l4@GbD\)j5QpO[]HLA)N46qZ
N'AVjU8Tp!3c&Z7C=>j#'RA8SZf_ANU%Uji7&5NVARCG`"-b&Hd3NJ1fi/k/(i?@YT4^,.3n,?D>J)=Q
.%-UFM4GTt>jUaUEi7JjR;6\;/8S1$Y9Af_7p]Qi$oCiL(5JT^XY\gL;n3117^+BmHb:rFX]m'j%6Ljf
W14S\N&^MW5r7n3)cori[\i6u>%,J.<mum]*TWB,iY4jd2U6Q1)kD.eSZD_-fhZX\S^K^7qbM@IKYt*k
,rHr\U&,L5mVEaUQnV)?3FMIjac7$T\/5hd5U,Ts#%CO[1&>!=L?%2f(rA$"DCAZ^fl1I;Dk(TVFdK^D
f"+o7N$<8"bQG?+d/DrGchQnNC?+o?)p?Vk`].qQ>.tYK)_GjU/;n>e7&Gs0@ddN0o-(.'WJPKI7%"5t
Xl@9.hDc2?@Zqb5kAOP3Q#7A:#FiDamMGoI@g'2Qk3/=(NkRQ_4]N.h&C1BG0\@kb0=<5IEMe,E._Tt!
gh^#,CaR;Bou+_e9XIu>\eP4*,Y"rV\c9Qj+W&\?<^fuBB]u%2^$mOh)N+?G-WO##<n.gah='bioU/9m
8e2/=RF4ip)1'_+Ca-[:rTW#r<=>nsNQ>qo7WgjsBd$6pACiC#%m;dlhr8SLES1kl3tmWfpb-;%7GEpa
c4N"3`cFT"To"ij7b8>?4pLo6p=49E9F&,(SQKtMS26euAuD2'kA!5$p649E]C:T"s1'b@!uWtclb(Y-
7OD<j`;kdrgAu(i:/&Rq-dTGZfpn4eeQ)])(%m^$Q$'CQ!n;i`AZ4j<6/%/'75uZM#2/(3#>JCNMG>9&
Zrpo\\@mXb(]Uii7:?X9S93>G^`ghi6T5bQ2DK>%U<]a#<^tQ>P>o\Nmo.Ef56k@c7nr`$6gipOkQ'ri
PEW7d-J+tudS'W\<>dY9/QjikFs4?(HV^+0(k,`fZPkKk)oMapPO[t!'AY+I.CH0#)HMbA>FSQ5_0q*V
l!3>pG3<tS:>1Ob.AXpCCHK\@c/kBp?S*YNEg$<1NIQ?MT;ln27Rd[O2Oa04'YR<[IdFR"5p%!dUu<7$
0r%Eg??G&^_GWD@?SHBH[7tsRfA>Fp)=7''Z.l=W(9[1p]d0b^[FZFoaO"4gnhF'Pek-X]2+=G\b%plh
4E8An>gaN[;s.7>3AG\!j;K5EC%^#"ibU!Qc^n;^hYjA@%a53c_Dt\4Q_4&X@K03Al*&b(p&-Hi2I!m+
<T+=Ej2$0rkgqu`$P?EnrOP#+br;%S?`cgn8'P`q/j'-('<s[@2$DX4Ffr;E`d+laq=h?/n,@CsDn0#s
R8\[0H)jU0'Qr4'RH8r(7h[(1M.*jWCn*kb`-SffQK53GiiFL>g1iKu+eMJgIghH?++GVdlo80%-,%5A
/fG\HPg/ALfJ+5I`cNS#<Fn*pjmBH/mW$]QCI@CEr=Y1O02h'(!u^7)^<.V2hYjVU8l#>"gM,J,\D]*P
qO78jD=8,6f'qf,Z*.3s^RY4g*A<a4YAYt=\U8[NA*_>"bNhTtrn?K=r<#Ojk6(~>
endstream
endobj
8 0 obj
2333
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
/Alpha2
<<
/ca .25000
/CA .25000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000003143 00000 n
0000003688 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000003119 00000 n
0000003613 00000 n
0000003314 00000 n
0000003355 00000 n
0000003778 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3922
%%EOF

176
3e/Geometrie/Thales/demo_recip/fig/Thales_DEB.pdf Normal file
View File

@@ -0,0 +1,176 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201165438+01'00')
/ModDate (D:20140201165438+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!SmbH;gB&DbZ6bR\+Z.)2(LOP%BTYXTk"#gGe#(AWC(WNs.jI4'V[OO,:O1c]`m>u`M$>\gV@X*5V7
k0I,S<b$*Nen`,U<c>1.h_-M=lQt*BG'ooAM6bnarJ!OCI_>Rc3F@8Ws6\iBiVMNZPK<:ca+q_$5C@ea
O4GC*_W($Xl\cV*%\=\#4*V6c3U!c5-n"6i(PduW`,N/i1g+W3\AYZm_M6=T_\%PJ-=JufL[-pOB+7u=
C!b2PA41O-s8$gDfC/5'QV5F(9@o@!OBsTf-Psu!X#q-2>XE2NpRNS;iqc8&ruIrJ<n,BsBA^C\E?Rmk
,\\WW4YCh&q5dr+4n`Zm_ljcn27\GSS>_D\,NT9T1==3?KY&d5h,ACtX]dE&6T]<`'F*s?E2(KtEoqP0
CP["*leIbZ;\lo>*p^nV:]H&,4I688?#J7:dA9,&d<gsk+\*oF/I;0?(4;ojFX9=:`bS-$jfT5r$SjFr
ZFGqni^Zq".%cQFKL/p$%Gpc$^^q3?r2HneG.d%JHC'QjMDimXRl6dAa]F#sO_n.//'tJHMJa4B*)t[9
iQZppU+g9dp'fC17.hY_)?T<Q3d9&8F0YK(jF7-s5F'^7CGVXcObdhU';O];6\\-k0!JYD/Wq#W#[4DL
/lk3;(J+k<$[Q\e=Vt><<7e]*Bg@B1"-HVhWr$[EV,.f4TO*h\c=1h-g;*668(,Mr\q_^Rb,tmWh8#"U
@<*^5[qp))eTA.6[&2meP(lCskfpKd&8BCY\SIdgZ\L+BPbW7hP`dr6)8R"ebD7ff5Ql"0]HLA9LptOL
N'AV6;3\+rmC(W[g,+ru7@l?mm!1jqX8PjK&8>QXhKK)!!%!Ij1lC"&2W`'c7N2a%k8hj(G-u"X/`$RS
PY=j4`6%[X/l'rtgn?S>k1[0jA@AFNY9Af_8)Cf2(hfYn/.Pr_ocr>-Wa(3T,M3^l4l2L^eh&*+L(j+:
$>5&%,ED.0Tp^*"b2$1*m4#Vt<nO[dh7.FDK3Zh7**oc"NAE,+_k\;Va)5*@gEQCF.IGs's&@$s\1D^6
`erj$FFR]BSMd)B,:87"#E0]JC#XpgcA'7=&4ns`JJ]+oN'8#>iOJY-L2[R7)iE3p2B8+')lInfluKdN
mF2K4;'aU7o3g9fk]ZNXGPno/D1(2ZAN?4"(^COQbBI?/ULgj#AV!RDaL'>mS:/Xu5"#Q<<O%/q.+(;T
<?,/c)eW\fCiY1$r(X6#d`j!/@'`q^mGsmbN1ae-*1aFWdJUq+VJ:\hi]TO?3a2d6V,TlHN0J6HV:VT$
S'5W,bs5uH4g;.F'7#L1ZN@q-`5n2tcG/*_Uo[aJ;++uOL7W,.#J\^,Y*_GdWNr8d<D2h-hJLun7OHM3
]c<DN8iojYkXdk?M#\pLVeP<n/[2rh,-uh*eb!IMKt&_04gTAso[M6)Mne6Jkr`eMN4>V@^S#j_D*nsq
NjpfEhCITt-9eROh,=IP)!kbgGN6OX%rt6'YimN0cEtYePBLU[]5?MCMqhsWn@NoE\LrgK))[o+Gg]BH
9XLs\!>J>="4jIlR"jWKNP'tuS<Aua<WOlhooY].FgR25W!@If:t>)fZiaruR%,-7A<Vom1h]T63e9!3
As%?mm58uIq56A)#\tRAVR)is%Z(kVoh\M("&jChC7H2VAMD@i8]@Lo5.(guF.gKo<:t&d1d)fq*Ith5
E&(JEjBC&S*!q.r.\Z!W,tfH1/i;s4ZR633%,Xk[=cI(A"6+iianU#!OmZbmP\SSX%D,c;m>WPUj1W@h
FR8R0]5pa.#OT<s']O7UQ?nd"lBH'fkAFTco-3qN)LqeT5?6`CNJnF]D)C9ocMF1fI,ApPK&/@I8AdA'
@X9*fI-A5ZRAFqs5@M4%9-*YPY._[)13hN"`m`d-)rfgd/UB_SEl`ujle:n#g@=>7XE1MCgS96tQO_E`
o.=DuI$8sD3n9(+8sJ8e'hfX?;CGHYcN+:JWM>Ges,lFN]4`;`$ig06-2_Dq]KGt(rm)*aIa@r('6uU?
]Y6D$Qda+C8`jMUh_^FMl^nL<C>^mLYgc\J`4.I>;+fekGmR%qQ"c$u1k1f\h06cR)%L[YCDcXL-iCf;
(Z[lb+juh1\Q]lq]#aiZ^1tF_3'@-\As^F.52Jmm\I<lCnGJ?U8UnaDT#^C<&@.]I~>
endstream
endobj
8 0 obj
2173
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
/Alpha2
<<
/ca .25000
/CA .25000
/BM /Normal
/AIS false
>>
/Alpha3
<<
/ca .10000
/CA .10000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000002983 00000 n
0000003642 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000002959 00000 n
0000003567 00000 n
0000003154 00000 n
0000003195 00000 n
0000003732 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3876
%%EOF

178
3e/Geometrie/Thales/demo_recip/fig/Thales_DEC.pdf Normal file
View File

@@ -0,0 +1,178 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201165517+01'00')
/ModDate (D:20140201165517+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!Smaf\l+&Dd(^oFJlFgZ<.k$Afe9"`)U#M,6FTYfQ9S:0%*bY7X0^KH?8McEV/.<OmJjH;ACg/n)Sg
q=>c^C5S^oG0Tg$lL"98gZ;!$HH@ao%GrPYU+H%1^Z&%U+"k;nc<"B1J,T"L]RKe=,gq0ks7gj;qen+W
dJCaL=Ss1]I1aBM_6X5V#L<E)#=FWBj<X]_U>,H3$tgMpQ\,a-CT<.W=L$Ph4+_^58R.>7iB!"W=Ta]^
2!CiM1*VFhIso&LlaQZdo;.b1V/+>%8?\AejH/["6^\9g/i!+)N/]+W)TInMr]A4-]rIPhc[IDgV#s:A
+NYQ/lj7Y[a^=lZqI@9f*Id)qU!#=E(dr52(b&N`QC1Lf.bnTtlCO^hB[q^F)uH4JU?JtEiC&mqj=G^4
f+@&4f"!:9:-$CDnlS'455u/Qn6?l&$)M"(UlZhW8+/aL`KGg0[NOXD52\ReX"+SC0jS91Ta[456Bm>C
;'ZS:f>X3t6nMu24VSNtBir793t+Dpc^u^<AA\ZN<prot5g`%^B[_i[W9#M5+L0/uG6Rhc:XSPRJqN@S
0"fkW:)#(Xj+TdfS>cFX>XP0,X`HGi3=kgIS_W\krMO[>G\q%l+;0g=F^ikUdZG^$;M_F+6&VPX&>Rfl
JW"B5eVg5UfbHY/W[nQ1;Hr?PO`[8=77X/=OP@45==KJ&/Z@8PWjA/L7;^uX_]p%0@GShc'p[.@L<adO
=.#KqnZAis>W'E80Wd>?JL%]Q$b_u%)Bu;/1O%)BE/qHJJT=_m7k&4pRh<k9[<R(-"!VtoisiP^4PhQg
0`I<DLn`<sl`e(-W(ijO..XJ0B$US%6g]X18#1iYA_W42"-b&Hd3NJ1fi/k/(i?@YT6E7>3n0m\ep'8G
.%-UFM3AmJ>b()REa<I^bdD.^/8S24?:,KHNkBGB1XJP#>9&Bl[WoHOVK*8@NF5ge[Wl#*>IR.^)bsq+
:cU&-(ieoo"O4;hC"uFjfUefVBS@IRh+\."[$+-da!lsj>rgq2DOe):eT^nAZQJ6l4/KW;pRg_q$(#3p
f@5nPL$h%Bgt=G40O^+]ZGYlLOsa#GiF5>/!/\'h%E,2A@e?pY%*->Z0SEs">u@oqZf9%W?9+A!l6^_[
XIWO'1Q#^HA0+Ek%GaeYnW$sX()rlIgfTU!0uebbf(*rWD7$BEZRiC2':Ca^MR.5Tc%i77V^?S+N\V&#
>/c?;]Q,@]`@<fMcX4(p.pX`)%p"#lh+ms;`s?G-bgAG/*.=7-c;[Ll6+dG9_I0G&\^[Ki6r3V"<I3u"
\Cmt7fJq%&C<+329XIo<\eP4J,Y"q+5Q>/iOGdjZWZio[2"XJR55:C$%E88(9iVme7CC'&causl\n;YH
d`[2EVR2@=6Vgn+-3B]"T<=_`[D;XqLs-&E<7dV)(?2brp<;Olcr3<@2?&@!Vt7.'1Z=4Gs+9B1Zjfab
3T?pcGd#1D2">SAkaj!>a'bOn[[RbsBd]7SN^Z`PEor#04DA*%n+Hir5KJ8]$bq&_TBjA(OAW?pqNHA;
A>43P%%qjVmBBWf@iCB"m!/uF3@,iLXTDl[l6CL'lXV(F:_2iUTr-iRBcS"IR%,-7A<i&ojKtd!SNn$*
ZcG7rp):N5r6q5OKf+s3dofHJLSTdqHDmc$a4-Z93i>GN),7G4;CUqD:G%5!*,%&I2*K\/9b/8>"0cu/
-Y(\#Y!p#L:B4X"))WKf=Yc+_TkSG;4j!XWHp@F>2-rZ]L]]CZj4=_f\l8)rC/mb\lkW1$k>QK=H\]M<
n+(&%EDEl#X^b*5krLh?gWQ^9au-;B[i@BN610porr1`'WlD"V)'O7ZBZ?B:oKcp\^>[3;]k_kSL2Sca
N8jJWke+`cV6Zj\@D&IQF*^%%hV_i\4RG;lC%%>sC%nkJ]q@$abD(f<g@<@[j0)f'oHeG@[cm21j^%NK
HqTh5h^%*!SM,?@G15mk<N&XsLGC=Tr<t>R9MO<gqPjb>o8es5<.4e^It(Q,s-YSp&&+M4o7NFf1]Ql2
?;<#SDpIS.[.8O+q:O+S%HQLEUThEdn<m':3?<fL4Es^//rH7ndhHu'+boLI:<cDSGO(iAU,H^+(Z%9<
;e.Q5&85@MmnSe"o3h%%pJq+ha5OQc^`:6Ea%)5?!/6gtbj^&"QlerXA)VAp`/eqd!Fl_`c]<,E59+at
b.?mT+A(:3M=A_#bS0n/"PTf8>K?II=6o"EQak(5@q1n3q8!Sb$sKM-)+^!lg6$5RFM;mY0a$OC+nb;I
MMJUu569TV_BT~>
endstream
endobj
8 0 obj
2283
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
/Alpha2
<<
/ca .25000
/CA .25000
/BM /Normal
/AIS false
>>
/Alpha3
<<
/ca .10000
/CA .10000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000003093 00000 n
0000003752 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000003069 00000 n
0000003677 00000 n
0000003264 00000 n
0000003305 00000 n
0000003842 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3986
%%EOF

BIN
3e/Geometrie/Thales/demo_recip/fig/Thales_base.ggb Normal file
View File

Binary file not shown.

159
3e/Geometrie/Thales/demo_recip/fig/Thales_base.pdf Normal file
View File

@@ -0,0 +1,159 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140201165052+01'00')
/ModDate (D:20140201165052+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!Sl]<3,4%.3d>jp.XE6+tE?!R`8C;?mTJ7^*Bn./`s&LSSNp`]&UVeVsT>I7AT(;C!PKN0/JB@Yjfc
I_H-^25`-Sh[4i&p&=4LfBk-akuN*::]+>)LoNS'r/O"uI_#CX45YM]q"*OLC&@DG`MEP3rSd/45CJ#S
Dgd-,,8gFd?XKXK%Ib:O28Eu//AP)YA[tomo:pC).YTCn2WVfmEQdaV#s1&*LFl&pS>:Q@hY`BcGa6'I
T7hZ?V'9rYr7C+9g4$iphf#VTI+hcO:&8tTZ%Uo@DsDB<o.?4>id?WJdDA#(XFFlN@5JF7lJBi(E^#>E
$Baln!M>INMYq*l@D!VIIn*`i9,Ot2Q@^O*Ki)k"D-7]dC;Nt/WNI\]6WP)+eMN;T$RM-^N$,]J9='YR
>sku7?Iu3I2!&9B`GP9oqtr\"_eWg+2:SlWae9u7O4f.p9/Qt=*'pOLEl(=lG#o:JA):+OTh`#B6^!.s
;'eo;\*-0gVID\t:PFI>*b(MsJ70iHoh/eM4RpP.ot+0K:iqdoEnYL>X_n1ER:B:-.e'WWMXED8Ct.*=
&^<U_TsS>N7j_qaUAGIE%7/RYY17RB4Rmj1\DMf20@dH!fIZ5O'I$'5_W\Ni:a+8.8F4r"7ab4+8c,n>
`#`"SU?FkS@HJoEKhI?2*l_/)"/tab,K`V,rOJBM.C;Jrkgq$DZ^KXJ*-hG@Q;"<_mm1MT22n?1F$)Ds
Q=`F3gMRftbqopm[?Mf<jG\sMR`3kiAM'@YC6:i(VEGHsUNSdn7>KX?@*.]Qo*Z&Li-ip1lq6u!X0'PB
do$lK[B%nnCGRFf0-W5ud<p#t!L9Y^iP6%:6*<CQ'B]?IM.JN%nhj1MF+BB_"+Qp$bii"q$gmb5N)[)B
9bTTIT6@K?;=1sHe6$LE;5tU5Mm";I2m9l0FYM32AQU"NU)lJTZ)_0+;DU9HeRuUu^27%ajpaBb,rFHn
G)SPD/]0Ai`Qm#hWi[_]6WQ1OpXOZ>bQkbEFe$A9gTHr>G12UsYJ*%mRc@rQeQ^b>&-&J_QZ6-Y]]G15
X:3u@m[_%a"#Fg-;[sX#7*<@a2-^TI,p6.;]7Ce>8rPcr;;jM01G7Xro^4-^o\"4n(%7SGo_,X2X_O2(
E(6$B7M`i"CZp5(O(\Ci-//$;a.;U2&`Yok^tQM_l&Eo51M2J2RE3%'.JCJW%NhF"R(Cqi3@Z:fZALH-
H.U9AMqr9VRD4+!;7\R3#^3q>m[*]"@O/?rjlejc)C$kNH`@e(&C1ATQlHjrQdunrj<[$R>44fd[hro*
NMEd]3u/<<U1h(Tec7[mR(8N1s/56NWTl?!7<F9#kai94n>gAsMYY/RW[aH7]qhV(4Vih3Q,K?fE+"s1
XJ<Y^;qA4AJ0t#'ki>\r?p?]7ESs:q4^#l<Ve*;L(AETH)S5D52uL2PLYY$JNbH?a(`l\td)(E:gmgIP
'o>is+30AD.=utQluRZZk*'C@fVPZZd9TkCj^bhO=nh3^j.n\1G$gfWmlp[$VD&KjoPA7@UgFt(BN#]`
:d!PD=M*!9M;tLYh1@P'8Z6Ci!)Q+6P[SF"m6;!*%iU\+Y1F'(3j(<E1jNesh(E<$bF2L+!b%g_O[ZML
)S0;8e!ZGR4]$+Gfh@!PjFn\eWTZ:]oUUgCDiJ:qbd60%Em]*'1.1uPd,K5uF`2K2,'8bM^tI\8bZ-U6
QM$][!,tmPoR*rR.7?4N(>lB/P/h)-EJ`"f]S^S<0?CX@IsU+uE%50d^$-7@X&ZI-q(92;]u/$mYOZ9%
e6FE5XCL*$o!UAZ5MBt&feosK[@T5@amP'Mrr0fbWQ46A'd7hVBZ8S,og*$]n\gCjqU"l-%)9S31TS^j
U%8GjCmBYN"lhJr]$']Up'%U"_2Ias0>=NBIf[F6PHt~>
endstream
endobj
8 0 obj
1908
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 373.00 341.00]
/Resources 9 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
10 0 obj
[/PDF /Text /ImageC]
endobj
11 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
>>
endobj
9 0 obj
<<
/ProcSet 10 0 R
/ExtGState 11 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 12 0 R
/Last 12 0 R
>>
endobj
12 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 13
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000002718 00000 n
0000003149 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000002694 00000 n
0000003074 00000 n
0000002889 00000 n
0000002930 00000 n
0000003239 00000 n
trailer
<<
/Size 12
/Root 2 0 R
/Info 1 0 R
>>
startxref
3383
%%EOF

BIN
3e/Geometrie/Thales/demo_recip/fig/Thales_calques.ggb Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Thales/demo_recip/fig/Thales_joined.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Thales/demo_recip/fig/Thales_triADC.ggb Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Thales/demo_recip/fig/aireTriangle.ggb Normal file
View File

Binary file not shown.

227
3e/Geometrie/Thales/demo_recip/fig/aireTriangle.pdf Normal file
View File

@@ -0,0 +1,227 @@
%PDF-1.4
%<25><><EFBFBD><EFBFBD>
1 0 obj
<<
/Title ()
/Author ()
/Subject ()
/Keywords ()
/Creator (FreeHEP Graphics2D Driver)
/Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
/CreationDate (D:20140203091829+01'00')
/ModDate (D:20140203091829+01'00')
/Trapped /False
>>
endobj
2 0 obj
<<
/Type /Catalog
/Pages 3 0 R
/Outlines 4 0 R
/PageMode /UseOutlines
/ViewerPreferences 5 0 R
/OpenAction [6 0 R /Fit]
>>
endobj
5 0 obj
<<
/FitWindow true
/CenterWindow false
>>
endobj
6 0 obj
<<
/Parent 3 0 R
/Type /Page
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 8 0 R
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb!Snac:1-(#8Obe.6Mho<:VL6El*O@#\@,(@#L:q"Hc\EADIggFXBAYq_QGISi+r+jQ0PFj/E0G_@<o
J*YFa%XjfC1&H@:'`&C_YO=.EI(<""In;ZT^DD?'32V?TDeo?lhnAsPj_qTR2nsh=a*3#nO)P&HgX?-"
leB`Ms5S$)ib+m5qOpLY#<V6!/\!<U=5^7>h#L>,*Abo]g\oS3?,iMDi%F$qd,pS/ECoC#:JTPe3T7Pe
3T$`?(YPeFr9jO<nG(8c9jW)u_0\]4Zm4D>pZ^l']i:%pjs.?S`+cOO<fbfQZ-=L>P:_B%VYYi2Pk?]U
a8&1pSgh+/A@[.!Z4)V_j#hVg?UHkh0jK`:E89eM.ZZEmSHms)dI$^CiXfJJ^MRE=cP#C1Hi*iHs)XmJ
HqcTRdJ2>f5O+Xi0=dJjalGu_KA7El,?1.pHT:9oa('dVF&*?+c#NAa-m,u4V=o.^!M7PT5C0ccEhmTO
*V0Tf@hd42>`N,4H_pZikJ$a?M0&Vp"OgjR6k-T;7'AQJ^qKE_W(3i5)@-2&`[O.4BO5$_B;\@$"4;om
TtA<if\TQ4A6:o&,CY,3@JF*e%L29bmAP0rCFD[((oNhHXZr+>dU:0IoQnt^)OD]/U^W[KWF:Vk^M3G%
.9@W1K79h^WuOjBY=EHb4_(jM#*?0U'D5jGc?281Vb01AD<PE_+OG.S\Gte^94*gZL.5,d,moj7[`+M(
4<f!,Poe4rT42&^a^lkAGDQrUZ#%Dn2/KJ,`#Xj=+qM[JRSN,.I8;JJ\L%RA6)VKAAm*4lp4`Bt?C1U2
^YSfR%h6hh"o=[CbhTNWS8BJG??h:"TZGOKQ9!#^o/B.&/CuRi,>5i*k;jZQRj0fO.E8p*oYk'FU`r$5
[(nC]2%tt`cn"2gr>ap=5VS=orgX^^%V8H@SiVr5+E&/G.c?o\3juS;2`oE-P=C7U/aV@25&IDBm[3fc
@HNk)Mf`&>?8[pEO$M4,CM>d9HPtct69lq8=p/FMP,2eQ7uaO44!>7SMV:!D\joRJbbK]&'B)9]PS82d
&%lsg@0iqcZ:CJ@QV>Jl;rQV"*%#qe'IUt3-9X.dE]u.g,gUcaXr"]Q%*E?cGn9%(^c.u57X!mWaZ+n&
-4t)u5mg,cA3+5:7kOIGU,'g2RFXRMa7gUBg/d>"-qfYaAruF="U<X@jc:qh7`@g<bZ(MoFt-r?cC`D[
)2XhFgGHAtH+bci\s@DZ*).:]e^4N%dQGku-lS7.Qj4CJ,FEi>nZ+CVKWKP]5e?]L-ctpK*4>Y`O+MhU
XmB5MG#O^,cj6$3@tIWJ8W,JcR6ge[&>U9r:NLWVGFOc$K;.u<CCQ03C1fAQ)/A.3Wmj?IH!,2/_g@-.
NCj"&f-\iOF3X@&c:JlhO#uI"'smUf2G'[`R5aD'AnRnqfOZO!'!.>FQ0nKI6@n(=Sc&Rg"*9T-Gb_DK
[IJcAJV(2&R2u1Ai=Mi,DIU[1hC%^HcV/o>1S-@U[+h>r$j'&,iQt\32RKdPqdpL'Ws6sD"\Q!C0qs@F
0DU4Q8Jmit"emFV7\-<5S^OgYB;@*U\"2?;f$g&aTj=`-"&80I)gTM0cVrUOW\LX'2d$oUrBqYHOQL/#
@oeUZTc1FZ(Q+..XCN(.JdeaV's1,0)$7rhft.hdeeAh=,Yj/^_(0GsKhG]VP"g`.dSsn"`14*>4JCtE
lGDo$ZcY-LLFXf%@_6gXCKK\P:<=cMF6=7$^Vr"h:qNrN;))O_8jl%FB=D=BNi\D?8Jri8a#1Ucj4NH<
9"TZ/_T$C]&6Vq[f+Vc`Cg[RrE;u>20o/+_/2&`X;NX'f-IiW=PnMd442P77"LN6W10]<fd84'?R^KK?
NmMa"!I=&hHB^CREJ?UER+4>eI[f_))/R5dWle9'UoD(Z%#\-5("'uc6B>$n%e>[&7Po5Sko:.g1e&pq
[/1Bu)X'/IZ1q$2WNr+o/C-CQ?l0G9F4B-hICj-:7F+p:(gnGfh`#1AhXXX`TNaGpAXYRJ_@-gQ1t>uF
[\sNl8]&`6#R=]3,=_?+ePsG&D_QMn4n>DoeOEu?TNWNK,5WlkZpK]&[/'o?Ye(+`9lS8sNQ`AER;)]d
SO%A@%,DuA+DZlb:FJWtGr)J>lV7BAQ](W[*_NTen+R>',@>>\]\b@2?hl6lJ"uf"p_Ju2@njN``g4GO
a)<>sE#`1=Gj5'\f6k1V[J:F/T^I0O^LIpEqtYM]]]Zo>GJ)5uc?-4.,o6&`'liK\$c=/K&K0[THGjQs
k[kR3LRa",@$J.3BKidUA>?#keIs!mCEX6nf."pl5eL5#:Z-eu"W?SNJm]p4W=*-PO\@rB;%%mu<]23?
m$kA#8#ChG4LHD.5[G:8TrcQ&$1fKd[?E.#O^DQj\lgVtD='F?E>o;WTa-r#BsKQ?'W4gkWLFX0[$\d<
Q3grO.0T<_0:`KmHM(u/TYnQ?G-d'L4).*`%^?PC$Q0:b1,QHbrGC&+ZeDp^FoY7i"+k]5DmgKo0r#>9
8I:;W$Zb5r1DbACFO\S#$.k*k!_OYu<?Xb00=2YM:oA23YT$p;.gm5s2Mc%qXB6FaM3,lCnfHoK#ma-5
*q&nr+5_9Qg(a1b;^"c*984WP3UXI]@<O-=Z#f)Y[>fq\lBS;$RE?dEYaE@#F)-ukdmDK*UiVbZ"Ip+?
&@ROZ2om(^8K?XhB.c:)/!!Pmiah3S:ClRja-Fn-hJ+RSHcKM`I`@YK^sb^pO0%7@2/u=[X,B%aes=O_
]YI`ce5M:#f,#qR'OM[_-H&MLdah)GniPQt=2$>ca]$S,)JYZQiPN,:T-Q60Gj1FYmaC8g]HVXG^LK?P
%`_FLW"2K)/g7MHon\LljuUJg,?p4#.s@hh\K`'&OEljeElW>)ajG4QN`1!,.\^RFmEpZ#jm$2uS/'Yd
oR=^!Ft%b!YY-k2mh]:gML7)QL^0*jgH#:g>?0e=\FD"$]$3:*Nu01HGO6jMY!_#!2_hHS41Q'sWYW8C
/3/AZ\[LsSreVkp9K5Jt9OZs>M..V8io=QA!["OQ$<'(UCloL-I[ZbCPQ$+lplBZ@cKF(>mJhA$#<e<K
U*]&IZ>nH4,["?(Wj-ON9GJltCi$$u?>q>dlk$-(fTagm33K\]GmQ>EW2R!4jc<q8=_[%IhZRX<Mo2@_
A;Km`Gc1i+n^KV%k'f5CV^Y)Wh+fl"\t*6;f19.U;AVjQf%[1QCGAtR=N#a;#+L9k=%LD>dhu`D[A7k#
+A`rZ@,f-%aJl4_qlJM90guFET@X`fjm.nOs2@V&'<#E'qm'fBp%CA1D!9q:XP[)96=-m8eH'>>_`?G=
pStBE8b,lr_pX9GX(5WoKSf?DT3!ej,u2%B!&mnqI,/0YCGd`sWNFIt2;jBO:.@@8N%(l49+BTXM4rgC
k:!r]Y0:E#pf").-a4#j)`uSf-U:P"7?F]T+-LLh=8<^Y3@cV+AQsCL=m#&3#J;P@`iNuAFfrlQZ8>mQ
%Cjthfi%8'+'#rD^e;LHfeV)^UEt^rWbdABT4_^kgr?L5,tV`L[Y7anF1h/pAMNG$GP:Y(GJ#GqSR(B\
CrO#2<ONO)nQ'3WSWL`hfq<<q40$LCI6>JRk1:Q![&uNL8"a,*1TtWa=WOQKD3)!.?2[D+gUV1q;"$>:
:=Q/dBmAL9Q+=f#CT&aZ2kctVPmj_kDN3:DY6F<spQ.XO/qgc<9_QjZVQg.t<Beqr&Ta`6*dE[J@:]p2
4=l`i4mBh]cN\I?*H.SIr""%&`G[lnFi(JXTs!euO3/e,)Dboji];A_i'GLB%V',qf]K/?"]"H1[&E0)
j$Ts'/(<[-#=a\'?:BYm6X*j$gZmIA+5S,(r<^]'7t>j`2IKd>'!SWI%WQo6L@j<=H@<lkCtRh\hkKs\
\u\TOq]\$,='f.`8l,5rYE7$%;giam<fZL[5H+R2rC`pSrt"Jc")gIi:4qECjXFs'cEGL(RQN^Qf][Xi
&pgsrHm%+;l*<'-m>JN8q6me6=uL`]<sWkil5C\0Q/f1==46#nYPqUK5K7YfAosQFpV85/DnJ)Ne6`M&
g!)%O8(aTuZEcU[Mn-^U)rUB]/(r89I2ub!?C$#h-1mH=H+uNLr8Q8AGi-Y=ZVkfAK4jDo53G"H]tOS1
:3rcWr*<2q8M<nd1D\D3&_-R&5+bn;d_:#V,3CPMf#lX:pD&"&=f8FMH<FB(qgP[AJ+;fRH2.tV;fua
~>
endstream
endobj
8 0 obj
4213
endobj
9 0 obj
<<
/Length 10 0 R
/Subtype /Image
/Width 801
/Height 422
/ColorSpace /DeviceRGB
/BitsPerComponent 8
/Filter [/ASCII85Decode /FlateDecode]
>>
stream
Gb"0;0`_7S!5bE.WFlV]TE"rlzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
zzzzzzzzzzzzzzzzzzzzzzzzzzzzz!!!#WC$MFc"T~>
endstream
endobj
10 0 obj
286
endobj
3 0 obj
<<
/Parent null
/Type /Pages
/MediaBox [0.0000 0.0000 2330.0 1227.0]
/Resources 11 0 R
/Kids [6 0 R]
/Count 1
>>
endobj
12 0 obj
[/PDF /Text /ImageC]
endobj
13 0 obj
<<
/Img0 9 0 R
>>
endobj
14 0 obj
<<
/Alpha1
<<
/ca 1.0000
/CA 1.0000
/BM /Normal
/AIS false
>>
/Alpha2
<<
/ca .10000
/CA .10000
/BM /Normal
/AIS false
>>
>>
endobj
11 0 obj
<<
/ProcSet 12 0 R
/XObject 13 0 R
/ExtGState 14 0 R
>>
endobj
4 0 obj
<<
/Type /Outlines
/First 15 0 R
/Last 15 0 R
>>
endobj
15 0 obj
<<
/Parent 4 0 R
/Title (Page 1 \(untitled\))
/Prev null
/Next null
/Dest [6 0 R /Fit]
>>
endobj
xref
0 16
0000000000 65535 f
0000000016 00000 n
0000000327 00000 n
0000005557 00000 n
0000006174 00000 n
0000000509 00000 n
0000000586 00000 n
0000000675 00000 n
0000004999 00000 n
0000005023 00000 n
0000005533 00000 n
0000006076 00000 n
0000005729 00000 n
0000005770 00000 n
0000005818 00000 n
0000006264 00000 n
trailer
<<
/Size 15
/Root 2 0 R
/Info 1 0 R
>>
startxref
6408
%%EOF

39
3e/Geometrie/Thales/demo_recip/index.rst Normal file
View File

@@ -0,0 +1,39 @@
Notes sur la démonstration de la réciproque de Thales
#####################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers demo_recip.pdf <demo_recip.pdf>`_
`Lien vers demo_recip.tex <demo_recip.tex>`_
`Lien vers fig/Thales_ADC.pdf <fig/Thales_ADC.pdf>`_
`Lien vers fig/Thales_base.pdf <fig/Thales_base.pdf>`_
`Lien vers fig/Thales_joined.pdf <fig/Thales_joined.pdf>`_
`Lien vers fig/Thales_calques.ggb <fig/Thales_calques.ggb>`_
`Lien vers fig/aireTriangle.pdf <fig/aireTriangle.pdf>`_
`Lien vers fig/Thales_BCJI.pdf <fig/Thales_BCJI.pdf>`_
`Lien vers fig/Thales_DEB.pdf <fig/Thales_DEB.pdf>`_
`Lien vers fig/Thales_ABE.pdf <fig/Thales_ABE.pdf>`_
`Lien vers fig/Thales_base.ggb <fig/Thales_base.ggb>`_
`Lien vers fig/Thales_DEC.pdf <fig/Thales_DEC.pdf>`_
`Lien vers fig/aireTriangle.ggb <fig/aireTriangle.ggb>`_
`Lien vers fig/Thales_triADC.ggb <fig/Thales_triADC.ggb>`_

BIN
3e/Geometrie/Trigo/Bilan/bilan.pdf Normal file
View File

Binary file not shown.

108
3e/Geometrie/Trigo/Bilan/bilan.tex Normal file
View File

@@ -0,0 +1,108 @@
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
% Title Page
\title{Trigonométrie - Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{empty}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vfill \eject
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Trigo/Bilan/fig/triangleABC.pdf Normal file
View File

Binary file not shown.

84
3e/Geometrie/Trigo/Bilan/fig/triangleABC.svg Normal file
View File

@@ -0,0 +1,84 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
version="1.1"
width="1052.3622"
height="744.09448"
id="svg2">
<defs
id="defs4" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
transform="translate(0,-308.2677)"
id="layer1">
<path
d="M 953.69881,806.19519 279.79859,470.03977 76.127976,878.34398 z"
id="path2985"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
width="32.967884"
height="32.967884"
x="295.7211"
y="-493.15671"
transform="matrix(-0.4463692,0.89484889,-0.89484889,-0.4463692,0,0)"
id="rect3811"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<path
d="m 646.02575,614.29559 a 15.25239,15.25239 0 0 1 13.12801,-15.10372"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2816.3834,-578.47512)"
id="path3813"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<text
x="991.2077"
y="800.80634"
transform="matrix(0.99992837,0.01196908,-0.01196908,0.99992837,0,0)"
id="text4180"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="991.2077"
y="800.80634"
id="tspan4182">A</tspan></text>
<text
x="276.50998"
y="458.11118"
transform="matrix(0.99994352,-0.01062789,0.01062789,0.99994352,0,0)"
id="text4184"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="276.50998"
y="458.11118"
id="tspan4186">B</tspan></text>
<text
x="-39.794636"
y="944.56842"
transform="matrix(0.99600213,-0.08932949,0.08932949,0.99600213,0,0)"
id="text4188"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="-39.794636"
y="944.56842"
id="tspan4190">C</tspan></text>
<path
d="m 646.02796,614.03579 a 15.25239,15.25239 0 0 1 11.77154,-14.5906"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2800.9024,-572.6003)"
id="path3813-0"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 3.7 KiB

BIN
3e/Geometrie/Trigo/Bilan/fig/triangleDEF.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/Bilan/fig/triangleGHI.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/Bilan/fig/triangleJKL.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/Bilan/fig/triangleRectABC.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/Conn/Conn0331.pdf Normal file
View File

Binary file not shown.

71
3e/Geometrie/Trigo/Conn/Conn0331.tex Normal file
View File

@@ -0,0 +1,71 @@
\documentclass{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classConn}
% Title Page
\title{}
\author{}
\date{}
\begin{document}
\begin{multicols}{2}
Nom - Prénom:
\section{Connaissance}
\begin{enumerate}
\item Compléter avec le nom des éléments
\begin{minipage}[h]{0.2\textwidth}
\includegraphics[scale=0.2]{./fig/triangleDEF}
\end{minipage}
\begin{minipage}[h]{0.2\textwidth}
Nom de l'angle \parbox{2cm}{\dotfill} \\[0.5cm]
Coté opposé \parbox{2cm}{\dotfill} \\[0.5cm]
Hypothénuse \parbox{2cm}{\dotfill} \\[0.5cm]
\end{minipage}
\item Compléter les formules suivantes \\[0.5cm]
\begin{eqnarray*}
\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \\[2cm]
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{enumerate}
\columnbreak
Nom - Prénom
\section{Connaissance}
\begin{enumerate}
\item Compléter avec le nom des éléments
\begin{minipage}[h]{0.2\textwidth}
\includegraphics[scale=0.2]{./fig/triangleGHI}
\end{minipage}
\begin{minipage}[h]{0.2\textwidth}
Nom de l'angle \parbox{2cm}{\dotfill} \\[0.5cm]
Coté adjacent \parbox{2cm}{\dotfill} \\[0.5cm]
Hypothénuse \parbox{2cm}{\dotfill} \\[0.5cm]
\end{minipage}
\item Compléter les formules suivantes
\begin{eqnarray*}
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \\[2cm]
\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{enumerate}
\end{multicols}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Trigo/Conn/fig/triangleABC.pdf Normal file
View File

Binary file not shown.

84
3e/Geometrie/Trigo/Conn/fig/triangleABC.svg Normal file
View File

@@ -0,0 +1,84 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
version="1.1"
width="1052.3622"
height="744.09448"
id="svg2">
<defs
id="defs4" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
transform="translate(0,-308.2677)"
id="layer1">
<path
d="M 953.69881,806.19519 279.79859,470.03977 76.127976,878.34398 z"
id="path2985"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
width="32.967884"
height="32.967884"
x="295.7211"
y="-493.15671"
transform="matrix(-0.4463692,0.89484889,-0.89484889,-0.4463692,0,0)"
id="rect3811"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<path
d="m 646.02575,614.29559 a 15.25239,15.25239 0 0 1 13.12801,-15.10372"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2816.3834,-578.47512)"
id="path3813"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<text
x="991.2077"
y="800.80634"
transform="matrix(0.99992837,0.01196908,-0.01196908,0.99992837,0,0)"
id="text4180"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="991.2077"
y="800.80634"
id="tspan4182">A</tspan></text>
<text
x="276.50998"
y="458.11118"
transform="matrix(0.99994352,-0.01062789,0.01062789,0.99994352,0,0)"
id="text4184"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="276.50998"
y="458.11118"
id="tspan4186">B</tspan></text>
<text
x="-39.794636"
y="944.56842"
transform="matrix(0.99600213,-0.08932949,0.08932949,0.99600213,0,0)"
id="text4188"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="-39.794636"
y="944.56842"
id="tspan4190">C</tspan></text>
<path
d="m 646.02796,614.03579 a 15.25239,15.25239 0 0 1 11.77154,-14.5906"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2800.9024,-572.6003)"
id="path3813-0"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 3.7 KiB

BIN
3e/Geometrie/Trigo/Conn/fig/triangleDEF.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/Conn/fig/triangleGHI.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/Conn/fig/triangleRectABC.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/cal_angle/cal_angle.pdf Normal file
View File

Binary file not shown.

103
3e/Geometrie/Trigo/cal_angle/cal_angle.tex Normal file
View File

@@ -0,0 +1,103 @@
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
% Title Page
\title{Trigonométrie - Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{fancy}
\begin{center}
\large{Calculer un angle}
\end{center}
\normalsize
\begin{Exo}
\textbf{Avec la figure suivante, calculer la mesure de l'angle $\widehat{BAC}$}.
\\[0.3cm]
\begin{minipage}[h]{0.15\textwidth}
\includegraphics[scale=0.15]{./fig/triangleABC}
\end{minipage}
\begin{minipage}[h]{0.3\textwidth}
\textit{Questions à se poser}
\begin{itemize}
\item On connait
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\item On cherche
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\end{itemize}
\end{minipage}
\begin{itemize}
\item On utilise la formule
\begin{eqnarray*}
\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm}
\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm}
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{itemize}
\textit{Rédaction}
.\\[0.3cm]
\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep}{
.\\[0.3cm]
\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
\begin{eqnarray*}
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \parbox{1cm}{\dotfill} \\[0.3cm]
\widehat{BAC} &=& \mbox{Arc}\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) = \parbox{1cm}{\dotfill}
\end{eqnarray*}
Donc l'angle $\widehat{BAC} = $\parbox{1cm}{\dotfill}°.
}}
\end{Exo}
\vfill\eject
\begin{Exo}
En reprenant la rédaction présenté au dessus, faire les exercices suivants.
\begin{enumerate}
\item Calculer la mesure de l'angle $\widehat{DEF}$
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleDEF}
\end{center}
\item Calculer la mesure de l'angle $\widehat{HGI}$
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleGHI}
\end{center}
\item $JKL$ est un triangle rectangle en $L$ tel que $JK=3cm $ et $JL = 2cm$.
\begin{enumerate}
\item Faire une figure à main levée.
\item Calculer la mesure de l'angle $\widehat{JKL}$.
\end{enumerate}
\item $MNO$ est un triangle rectangle en $O$ tel que $OM=3cm $ et $ON = 2cm$.
\begin{enumerate}
\item Faire une figure à main levée.
\item Calculer la mesure de l'angle $\widehat{NMO}$.
\end{enumerate}
\item $PQR$ est un triangle rectangle en $P$ tel que $RQ=3cm $ et $QP = 2cm$. Calculer la mesure de l'angle $\widehat{QRP}$.
\end{enumerate}
\end{Exo}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Trigo/cal_angle/fig/triangleABC.pdf Normal file
View File

Binary file not shown.

84
3e/Geometrie/Trigo/cal_angle/fig/triangleABC.svg Normal file
View File

@@ -0,0 +1,84 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
version="1.1"
width="1052.3622"
height="744.09448"
id="svg2">
<defs
id="defs4" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
transform="translate(0,-308.2677)"
id="layer1">
<path
d="M 953.69881,806.19519 279.79859,470.03977 76.127976,878.34398 z"
id="path2985"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
width="32.967884"
height="32.967884"
x="295.7211"
y="-493.15671"
transform="matrix(-0.4463692,0.89484889,-0.89484889,-0.4463692,0,0)"
id="rect3811"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<path
d="m 646.02575,614.29559 a 15.25239,15.25239 0 0 1 13.12801,-15.10372"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2816.3834,-578.47512)"
id="path3813"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<text
x="991.2077"
y="800.80634"
transform="matrix(0.99992837,0.01196908,-0.01196908,0.99992837,0,0)"
id="text4180"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="991.2077"
y="800.80634"
id="tspan4182">A</tspan></text>
<text
x="276.50998"
y="458.11118"
transform="matrix(0.99994352,-0.01062789,0.01062789,0.99994352,0,0)"
id="text4184"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="276.50998"
y="458.11118"
id="tspan4186">B</tspan></text>
<text
x="-39.794636"
y="944.56842"
transform="matrix(0.99600213,-0.08932949,0.08932949,0.99600213,0,0)"
id="text4188"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="-39.794636"
y="944.56842"
id="tspan4190">C</tspan></text>
<path
d="m 646.02796,614.03579 a 15.25239,15.25239 0 0 1 11.77154,-14.5906"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2800.9024,-572.6003)"
id="path3813-0"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 3.7 KiB

BIN
3e/Geometrie/Trigo/cal_angle/fig/triangleDEF.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/cal_angle/fig/triangleGHI.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/cal_angle/fig/triangleRectABC.pdf Normal file
View File

Binary file not shown.

23
3e/Geometrie/Trigo/cal_angle/index.rst Normal file
View File

@@ -0,0 +1,23 @@
Notes sur un fiche d'exercice pour le calcul d'un angle pour les 3e
###################################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Exo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers cal_angle.tex <cal_angle.tex>`_
`Lien vers cal_angle.pdf <cal_angle.pdf>`_
`Lien vers fig/triangleDEF.pdf <fig/triangleDEF.pdf>`_
`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_
`Lien vers fig/triangleGHI.pdf <fig/triangleGHI.pdf>`_
`Lien vers fig/triangleRectABC.pdf <fig/triangleRectABC.pdf>`_

BIN
3e/Geometrie/Trigo/cal_long/cal_long.pdf Normal file
View File

Binary file not shown.

120
3e/Geometrie/Trigo/cal_long/cal_long.tex Normal file
View File

@@ -0,0 +1,120 @@
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
% Title Page
\title{Trigonométrie - Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{empty}
\begin{center}
\large{Calculer une longueur}
\end{center}
\normalsize
\begin{Exo}
\begin{enumerate}
\item \textbf{Avec la figure suivante, calculer la longueur $BA$.}
\\[0.3cm]
\begin{minipage}[h]{0.15\textwidth}
\includegraphics[scale=0.15]{./fig/triangleABC}
\end{minipage}
\begin{minipage}[h]{0.3\textwidth}
\textit{Questions à se poser}
\begin{itemize}
\item On connait
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\item On cherche
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\end{itemize}
\end{minipage}
\begin{itemize}
\item On utilise la formule
\begin{eqnarray*}
\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.5cm}
\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.5cm}
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{itemize}
\textit{Rédaction:}
\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep}{
.\\[0.2cm]
\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
\begin{eqnarray*}
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
\parbox{1cm}{\dotfill} &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
BA & = & \parbox{1cm}{\dotfill} \times \parbox{1cm}{\dotfill} = \parbox{1cm}{\dotfill}
\end{eqnarray*}
Donc $BA = \parbox{1cm}{\dotfill}$
}}
\item \textbf{Calculer la longueur $EF$}
\begin{minipage}[h]{0.15\textwidth}
\includegraphics[scale=0.2]{./fig/triangleDEF}
\end{minipage}
\begin{minipage}[h]{0.35\textwidth}
\textit{Rédaction:}
\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep-0.1\textwidth}{
.\\[0.2cm]
\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
\begin{eqnarray*}
\parbox{1cm}{\dotfill}(\widehat{EFD}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
\parbox{1cm}{\dotfill} &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
EF & = & \frac{ \parbox{1cm}{\dotfill} }{ \parbox{1cm}{\dotfill}} = \parbox{1cm}{\dotfill}
\end{eqnarray*}
Donc $EF = \parbox{1cm}{\dotfill}$
}}
\end{minipage}
\end{enumerate}
\end{Exo}
\vfill\eject
\begin{Exo}
En reprenant la rédaction présenté au dessus, faire les exercices suivants.
\begin{enumerate}
\item Calculer la longueur $HI$.
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleGHI}
\end{center}
\item Calculer la longueur $LK$. On donne $\widehat{JKL} = 10$°.
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleJKL}
\end{center}
\item $MNO$ est un triangle rectangle en $M$ tel que $OM=3cm$ et $\widehat{OMN} = 60$°.
\begin{enumerate}
\item Faire une figure à main levée.
\item Calculer $NO$.
\end{enumerate}
\item $PQR$ est un triangle rectangle en $P$ tel que $RQ=10cm $ et $\widehat{PRQ} = 98$°. Calculer la longueur $QP$.
\end{enumerate}
\end{Exo}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
3e/Geometrie/Trigo/cal_long/fig/triangleABC.pdf Normal file
View File

Binary file not shown.

84
3e/Geometrie/Trigo/cal_long/fig/triangleABC.svg Normal file
View File

@@ -0,0 +1,84 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
version="1.1"
width="1052.3622"
height="744.09448"
id="svg2">
<defs
id="defs4" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
transform="translate(0,-308.2677)"
id="layer1">
<path
d="M 953.69881,806.19519 279.79859,470.03977 76.127976,878.34398 z"
id="path2985"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
width="32.967884"
height="32.967884"
x="295.7211"
y="-493.15671"
transform="matrix(-0.4463692,0.89484889,-0.89484889,-0.4463692,0,0)"
id="rect3811"
style="fill:none;stroke:#000000;stroke-width:6.20190287;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<path
d="m 646.02575,614.29559 a 15.25239,15.25239 0 0 1 13.12801,-15.10372"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2816.3834,-578.47512)"
id="path3813"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<text
x="991.2077"
y="800.80634"
transform="matrix(0.99992837,0.01196908,-0.01196908,0.99992837,0,0)"
id="text4180"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="991.2077"
y="800.80634"
id="tspan4182">A</tspan></text>
<text
x="276.50998"
y="458.11118"
transform="matrix(0.99994352,-0.01062789,0.01062789,0.99994352,0,0)"
id="text4184"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="276.50998"
y="458.11118"
id="tspan4186">B</tspan></text>
<text
x="-39.794636"
y="944.56842"
transform="matrix(0.99600213,-0.08932949,0.08932949,0.99600213,0,0)"
id="text4188"
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"><tspan
x="-39.794636"
y="944.56842"
id="tspan4190">C</tspan></text>
<path
d="m 646.02796,614.03579 a 15.25239,15.25239 0 0 1 11.77154,-14.5906"
transform="matrix(1.9349903,3.8791294,3.8791294,-1.9349903,-2800.9024,-572.6003)"
id="path3813-0"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 3.7 KiB

BIN
3e/Geometrie/Trigo/cal_long/fig/triangleDEF.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/cal_long/fig/triangleGHI.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/cal_long/fig/triangleJKL.pdf Normal file
View File

Binary file not shown.

BIN
3e/Geometrie/Trigo/cal_long/fig/triangleRectABC.pdf Normal file
View File

Binary file not shown.

25
3e/Geometrie/Trigo/cal_long/index.rst Normal file
View File

@@ -0,0 +1,25 @@
Notes sur le calcul d'un longeur avec les formules trigonométriques pour les 3e
###############################################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Exo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers cal_long.pdf <cal_long.pdf>`_
`Lien vers cal_long.tex <cal_long.tex>`_
`Lien vers fig/triangleDEF.pdf <fig/triangleDEF.pdf>`_
`Lien vers fig/triangleJKL.pdf <fig/triangleJKL.pdf>`_
`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_
`Lien vers fig/triangleGHI.pdf <fig/triangleGHI.pdf>`_
`Lien vers fig/triangleRectABC.pdf <fig/triangleRectABC.pdf>`_

BIN
3e/Geometrie/Trigo/intro_trigo/fig/triangleABC.pdf Normal file
View File

Binary file not shown.

157
3e/Geometrie/Trigo/intro_trigo/fig/triangleABC.svg Normal file
View File

@@ -0,0 +1,157 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="1052.3622"
height="744.09448"
id="svg2"
version="1.1"
inkscape:version="0.48.4 r9939"
sodipodi:docname="triangleABC.svg">
<defs
id="defs4" />
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.80366138"
inkscape:cx="526.18109"
inkscape:cy="372.04724"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1364"
inkscape:window-height="748"
inkscape:window-x="0"
inkscape:window-y="274"
inkscape:window-maximized="0" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Calque 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(0,-308.2677)">
<g
id="g4173"
transform="matrix(-0.69208462,1.3874415,-1.3874415,-0.69208462,1821.4648,791.85122)">
<path
inkscape:connector-curvature="0"
id="path2985"
d="m 258.10123,496.69705 0,485.71433 294.28571,0 z"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
y="961.14825"
x="258.10123"
height="21.263077"
width="21.263077"
id="rect3811"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<g
id="g3909">
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.02575,614.29559 c 0,-4.50879 1.99489,-8.78654 5.44899,-11.68455"
transform="matrix(2.7958868,0,0,2.7958868,-1289.0338,-735.4114)"
sodipodi:start="3.1415927"
sodipodi:end="4.0143128"
sodipodi:open="true" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-3"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.07823,615.55974 c -0.46744,-5.62034 2.20465,-11.03991 6.94763,-14.09128"
transform="matrix(2.7958868,0,0,2.7958868,-1298.4652,-739.71747)"
sodipodi:start="3.0586154"
sodipodi:end="4.1407061"
sodipodi:open="true" />
</g>
</g>
<text
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="991.2077"
y="800.80634"
id="text4180"
sodipodi:linespacing="125%"
transform="matrix(0.99992837,0.01196908,-0.01196908,0.99992837,0,0)"><tspan
sodipodi:role="line"
id="tspan4182"
x="991.2077"
y="800.80634">A</tspan></text>
<text
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="276.50998"
y="458.11118"
id="text4184"
sodipodi:linespacing="125%"
transform="matrix(0.99994352,-0.01062789,0.01062789,0.99994352,0,0)"><tspan
sodipodi:role="line"
id="tspan4186"
x="276.50998"
y="458.11118">B</tspan></text>
<text
xml:space="preserve"
style="font-size:55.81712723px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="-39.794636"
y="944.56842"
id="text4188"
sodipodi:linespacing="125%"
transform="matrix(0.99600213,-0.08932949,0.08932949,0.99600213,0,0)"><tspan
sodipodi:role="line"
id="tspan4190"
x="-39.794636"
y="944.56842">C</tspan></text>
<path
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:4, 4;stroke-dashoffset:0"
d="m 166.73689,820.92143 139.36218,0"
id="path4342"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#000000;stroke-width:5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:5,5;stroke-dashoffset:0"
d="m 612.53902,532.24263 336.52492,0"
id="path4342-9"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#000000;stroke-width:5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:5, 5;stroke-dashoffset:0"
d="m 346.87987,932.90892 336.52492,0"
id="path4342-9-7"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#000000;stroke-width:5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:5, 5;stroke-dashoffset:0"
d="m 17.139008,635.51995 336.524912,0"
id="path4342-9-75"
inkscape:connector-curvature="0" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 6.5 KiB

BIN
3e/Geometrie/Trigo/intro_trigo/fig/triangles.pdf Normal file
View File

Binary file not shown.

454
3e/Geometrie/Trigo/intro_trigo/fig/triangles.svg Normal file
View File

@@ -0,0 +1,454 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="1052.3622"
height="744.09448"
id="svg2"
version="1.1"
inkscape:version="0.48.4 r9939"
sodipodi:docname="Nouveau document 1">
<defs
id="defs4" />
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.80366138"
inkscape:cx="526.18109"
inkscape:cy="372.04724"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1364"
inkscape:window-height="748"
inkscape:window-x="0"
inkscape:window-y="274"
inkscape:window-maximized="0" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Calque 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(0,-308.2677)">
<g
id="g4173"
transform="translate(-196.60021,42.306375)">
<path
inkscape:connector-curvature="0"
id="path2985"
d="m 258.10123,496.69705 0,485.71433 294.28571,0 z"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
y="961.14825"
x="258.10123"
height="21.263077"
width="21.263077"
id="rect3811"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<g
id="g3909">
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.02575,614.29559 c 0,-4.50879 1.99489,-8.78654 5.44899,-11.68455"
transform="matrix(2.7958868,0,0,2.7958868,-1289.0338,-735.4114)"
sodipodi:start="3.1415927"
sodipodi:end="4.0143128"
sodipodi:open="true" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-3"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.07823,615.55974 c -0.46744,-5.62034 2.20465,-11.03991 6.94763,-14.09128"
transform="matrix(2.7958868,0,0,2.7958868,-1298.4652,-739.71747)"
sodipodi:start="3.0586154"
sodipodi:end="4.1407061"
sodipodi:open="true" />
</g>
</g>
<g
id="g4031"
transform="matrix(-0.90668926,0.30357224,0.30357224,0.90668926,925.18116,-300.13374)">
<path
inkscape:connector-curvature="0"
id="path2985-2"
d="m 643.83648,752.67992 0,308.17208 295.09519,0 z"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
y="1039.5889"
x="643.83649"
height="21.263077"
width="21.263077"
id="rect3811-3"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<g
id="g3909-4"
transform="translate(370.01142,77.60659)"
style="stroke-width:4;stroke-miterlimit:4;stroke-dasharray:none">
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-5"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.02575,614.29559 c 0,-4.50879 1.99489,-8.78654 5.44899,-11.68455"
transform="matrix(2.7958868,0,0,2.7958868,-1289.0338,-735.4114)"
sodipodi:start="3.1415927"
sodipodi:end="4.0143128"
sodipodi:open="true" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-3-1"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.07823,615.55974 c -0.46744,-5.62034 2.20465,-11.03991 6.94763,-14.09128"
transform="matrix(2.7958868,0,0,2.7958868,-1298.4652,-739.71747)"
sodipodi:start="3.0586154"
sodipodi:end="4.1407061"
sodipodi:open="true" />
</g>
</g>
<g
id="g4024"
transform="matrix(-0.58317067,0.81234966,-0.81234966,-0.58317067,1737.0307,164.5566)">
<path
inkscape:connector-curvature="0"
id="path2985-8"
d="m 801.9187,358.72328 0,486.40087 201.6494,0 z"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
y="823.51782"
x="802.26196"
height="21.263077"
width="21.263077"
id="rect3811-1"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<g
id="g3909-2"
transform="translate(456.53705,-139.83917)">
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-2"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.02575,614.29559 c 0,-4.50879 1.99489,-8.78654 5.44899,-11.68455"
transform="matrix(2.7958868,0,0,2.7958868,-1289.0338,-735.4114)"
sodipodi:start="3.1415927"
sodipodi:end="4.0143128"
sodipodi:open="true" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-3-4"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.07823,615.55974 c -0.46744,-5.62034 2.20465,-11.03991 6.94763,-14.09128"
transform="matrix(2.7958868,0,0,2.7958868,-1298.4652,-739.71747)"
sodipodi:start="3.0586154"
sodipodi:end="4.1407061"
sodipodi:open="true" />
</g>
</g>
<g
id="g4098"
transform="matrix(0.79927972,-0.25692873,-0.25692873,-0.79927972,534.72503,1488.9845)">
<path
inkscape:connector-curvature="0"
id="path2985-0"
d="m 474.94032,402.54782 0,380.08721 350.41827,0 z"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
y="761.30255"
x="475.00974"
height="21.263077"
width="21.263077"
id="rect3811-8"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<g
id="g3909-6"
transform="translate(257.60821,-200.81013)">
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-34"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.02575,614.29559 c 0,-4.50879 1.99489,-8.78654 5.44899,-11.68455"
transform="matrix(2.7958868,0,0,2.7958868,-1289.0338,-735.4114)"
sodipodi:start="3.1415927"
sodipodi:end="4.0143128"
sodipodi:open="true" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3813-3-2"
sodipodi:cx="661.27814"
sodipodi:cy="614.29559"
sodipodi:rx="15.25239"
sodipodi:ry="15.25239"
d="m 646.07823,615.55974 c -0.46744,-5.62034 2.20465,-11.03991 6.94763,-14.09128"
transform="matrix(2.7958868,0,0,2.7958868,-1298.4652,-739.71747)"
sodipodi:start="3.0586154"
sodipodi:end="4.1407061"
sodipodi:open="true" />
</g>
</g>
<g
id="g4167"
transform="matrix(0.92394406,0.38252761,-0.38252761,0.92394406,-285.67593,-228.52696)">
<path
inkscape:connector-curvature="0"
id="path2985-4"
d="m 625.20837,361.33916 0,130.51849 296.20545,0 z"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<rect
y="470.59457"
x="625.20837"
height="21.263077"
width="21.263077"
id="rect3811-7"
style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
<path
sodipodi:open="true"
sodipodi:end="3.9532095"
sodipodi:start="3.1415927"
transform="matrix(2.7958868,0,0,2.7958868,-971.69894,-1226.1446)"
d="m 646.02575,614.29559 c 0,-4.18394 1.71873,-8.18418 4.75376,-11.0641"
sodipodi:ry="15.25239"
sodipodi:rx="15.25239"
sodipodi:cy="614.29559"
sodipodi:cx="661.27814"
id="path3813-4"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
sodipodi:type="arc" />
<path
sodipodi:open="true"
sodipodi:end="3.9594421"
sodipodi:start="3.0586154"
transform="matrix(2.7958868,0,0,2.7958868,-981.13034,-1230.4507)"
d="m 646.07823,615.55974 c -0.38615,-4.64292 1.37092,-9.20771 4.77045,-12.39346"
sodipodi:ry="15.25239"
sodipodi:rx="15.25239"
sodipodi:cy="614.29559"
sodipodi:cx="661.27814"
id="path3813-3-3"
style="fill:none;stroke:#000000;stroke-width:1.43067312;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
sodipodi:type="arc" />
</g>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="29.863323"
y="529.75403"
id="text4180"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4182"
x="29.863323"
y="529.75403">A</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="23.641798"
y="1036.1863"
id="text4184"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4186"
x="23.641798"
y="1036.1863">B</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="374.53586"
y="725.42993"
id="text4188"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4190"
x="374.53586"
y="725.42993">C</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="64.703865"
y="163.00398"
id="text4192"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4194"
x="64.703865"
y="163.00398">D</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="171.71411"
y="343.10825"
id="text4196"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4198"
x="171.71411"
y="343.10825">E</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="380.75735"
y="591.96924"
id="text4200"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4202"
x="380.75735"
y="591.96924">F</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="521.36383"
y="341.86395"
id="text4204"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4206"
x="521.36383"
y="341.86395">G</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="433.01819"
y="197.84451"
id="text4208"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4210"
x="433.01819"
y="197.84451">H</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="997.93274"
y="298.63324"
id="text4212"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4214"
x="997.93274"
y="298.63324">I</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="1010.3758"
y="359.60419"
id="text4216"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4218"
x="1010.3758"
y="359.60419">J</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="836.17303"
y="1042.4077"
id="text4220"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4222"
x="836.17303"
y="1042.4077">K</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="701.78809"
y="413.10931"
id="text4224"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4226"
x="701.78809"
y="413.10931">L</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="586.06775"
y="268.7699"
id="text4228"
sodipodi:linespacing="125%"
transform="translate(0,308.2677)"><tspan
sodipodi:role="line"
id="tspan4230"
x="586.06775"
y="268.7699">M</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="673.16913"
y="878.15942"
id="text4232"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4234"
x="673.16913"
y="878.15942">N</tspan></text>
<text
xml:space="preserve"
style="font-size:36px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Droid Sans;-inkscape-font-specification:Droid Sans"
x="364.58142"
y="932.90887"
id="text4236"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4238"
x="364.58142"
y="932.90887">P</tspan></text>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 20 KiB

19
3e/Geometrie/Trigo/intro_trigo/index.rst Normal file
View File

@@ -0,0 +1,19 @@
Notes sur une activité d'introduction aux formules trigo
########################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Exo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers intro_trigo.pdf <intro_trigo.pdf>`_
`Lien vers intro_trigo.tex <intro_trigo.tex>`_
`Lien vers fig/triangles.pdf <fig/triangles.pdf>`_
`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_

BIN
3e/Geometrie/Trigo/intro_trigo/intro_trigo.pdf Normal file
View File

Binary file not shown.

63
3e/Geometrie/Trigo/intro_trigo/intro_trigo.tex Normal file
View File

@@ -0,0 +1,63 @@
\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
% Title Page
\titre{Introduction à la trigonométrie}
% \quatreC \quatreD \troisB \troisPro
\classe{\troisB}
\date{24 mars 2014}
%\fancyhead[L]{<++classes++> : \Thetitle}
\begin{document}
\maketitle
\section{Nom des cotés et des angles}
\begin{minipage}[b]{0.5\textwidth}
Completer la figure suivante avec
\begin{itemize}
\item Le nom de l'ange
\item Hypoténuse
\item Côté opposé
\item Côté adjacent
\end{itemize}
\end{minipage}
\begin{minipage}[c]{0.5\textwidth}
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleABC}
\end{center}
\end{minipage}
\section{Longeurs et angles}
Compléter le tableau suivant en fonction des triangles.
\begin{center}
\begin{tabular}{|c|*{6}{c|}}
\hline
Triangle & Hypoténuse & coté adjacent & coté opposé & angle & $\frac{\mbox{coté adjacent}}{\mbox{Hypoténuse}}$ & $\frac{\mbox{coté opposé}}{\mbox{Hypoténuse}}$ \\
\hline
ABC & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
DEF & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
GHI & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
JKL & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
MNP & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
\end{tabular}
\end{center}
\begin{center}
\includegraphics[scale=0.45]{./fig/triangles}
\end{center}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End: