File:ReflexionMiroirBougie03.svg

% Copyright

% Auteur : Hervé Darce

% Ce fichier source et l'image associée sont sous licence Creative Commons Attribution - Partage dans les Mêmes Conditions 4.0 International (https://creativecommons.org/licenses/by-sa/4.0)

% Transformer un fichier tex en svg :

% latex ${file}.tex && dvips ${file}.dvi && ps2eps ${file}.ps && eps2svg ${file}.eps

 \documentclass[a4paper]{slides}
 \usepackage[french]{babel}
 \usepackage[utf8]{inputenc}
 \usepackage[T1]{fontenc}
 \usepackage{pstricks}
 \usepackage{pst-eucl}
 \usepackage{amsmath}
 \usepackage{ccicons}
 \usepackage{pst-optic}
 
 \definecolor{BleuVerre}{cmyk}{0.2,0,0,0}
 \begin{document}
 \setlength{\unitlength}{1cm}
 \small
 \psset{unit=1cm}
 \begin{pspicture}(-9,-5)(9,5)

% initialisation

 \psset{arrowscale=3}

% points

 \pstGeonode[PointSymbol=none,PointName=none](0,4){M_1}
 \pstGeonode[PointSymbol=none,PointName=none](0,-4){M_2}
 \pstGeonode[PointSymbol=none,PointName=none](0.2,4){M_4}
 \pstGeonode[PointSymbol=none,PointName=none](0.2,-4){M_3}
 \pstGeonode[PointSymbol=+,PosAngle=180](-7,4){A}
 \pstGeonode[PointSymbol=none,PointName=none,,PosAngle=-40](0,0){I_1}
 \pstGeonode[PointSymbol=none,PointName=none,PosAngle=180](-8,0){N_1}
 \pstGeonode[PointSymbol=none,PointName=none,PosAngle=40](0,0.6){I_2}
 \pstGeonode[PointSymbol=none,PointName=none,,PosAngle=180](-8,0.6){N_2}
 \pstGeonode[PointSymbol=none,PointName=none](-7,3){B}

% Miroir

 \pspolygon[fillstyle=solid,fillcolor=BleuVerre](M_1)(M_2)(M_3)(M_4)
 \pstLineAB[]{M_1}{M_2}

% construction 1 % \pstLineAB[linecolor=red]{A}{I_1} % \pstLineAB[linecolor=red,nodesep=3,]{->}{A}{I_1} % \pstLineAB[linestyle=dashed]{I_1}{N_1}

 \psset{CodeFig=true}
 \pstOrtSym[PointSymbol=+,PosAngle=0,CodeFigColor=blue]{M_1}{M_2}{A}[A']
 \pstLineAB[linecolor=red,linestyle=dashed]{A'}{I_1}
 \psset{CodeFig=false}
 \pstSymO[PointName=none,PointSymbol=none]{I_1}{A'}[A_1]
 \pstLineAB[linecolor=red]{A_1}{I_1}
 \pstLineAB[linecolor=red,nodesep=3,]{-<}{A_1}{I_1}

% construction 2 % \pstLineAB[linecolor=red]{A}{I_2} % \pstLineAB[linecolor=red,nodesep=3,]{->}{A}{I_2} % \pstLineAB[linestyle=dashed]{I_2}{N_2}

 \pstLineAB[linecolor=red,linestyle=dashed]{A'}{I_2}

% \psset{CodeFig=false}

 \pstSymO[PointName=none,PointSymbol=none]{I_2}{A'}[A_2]
 \pstLineAB[linecolor=red]{A_2}{I_2}
 \pstLineAB[linecolor=red,nodesep=3,]{-<}{A_2}{I_2}

% oeil

 \rput{-142}(-7,-3.7){\eye}

% bougie 1

 \psset{HomCoef=0.5}
 \pstHomO[PointSymbol=none,PointName=none]{B}{A}[C]
 \pstLineAB[]{B}{C}
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=30]{B}{C}[C_1]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=-30]{B}{C}[C_2]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=90]{B}{C}[D]
 \pstSymO[PointName=none,PointSymbol=none]{B}{D}[F]
 \pstTranslation[PointSymbol=none,PointName=none]{A}{B}{D}[E]
 \pstTranslation[PointSymbol=none,PointName=none]{A}{B}{F}[G]
 \pspolygon[](D)(E)(G)(F)
 \pscurve(A)(C_1)(B)
 \pscurve(A)(C_2)(B)

% bougie 2

 \pstOrtSym[PointName=none,PointSymbol=none]{M_1}{M_2}{B}[B']
 \psset{HomCoef=0.5}
 \pstHomO[PointSymbol=none,PointName=none]{B'}{A'}[C']
 \pstLineAB[]{B'}{C'}
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=30]{B'}{C'}[C'_1]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=-30]{B'}{C'}[C'_2]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=90]{B'}{C'}[D']
 \pstSymO[PointName=none,PointSymbol=none]{B'}{D'}[F']
 \pstTranslation[PointSymbol=none,PointName=none]{A'}{B'}{D'}[E']
 \pstTranslation[PointSymbol=none,PointName=none]{A'}{B'}{F'}[G']
 \pspolygon[](D')(E')(G')(F')
 \pscurve[linestyle=dashed](A')(C'_1)(B')
 \pscurve[linestyle=dashed](A')(C'_2)(B')

% Légende

 \uput{0.2}[90](M_1){Miroir plan}
 \uput{0.2}[-90](E'){Bougie éteinte}
 \uput{1}[-90](E'){réelle qui}
 \uput{1.8}[-90](E'){semble surmontée}
 \uput{2.6}[-90](E'){d'une flamme}
 \end{pspicture}

 \ccbysa {\tiny Hervé Darce (commons.wikimedia.org)}

 \end{document}

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