File:ReflexionChampObservation.svg

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Summary

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Description
Français : Le champ d’observation d’un miroir est la région de l’espace contenant les points objets dont les points images sont visibles pour un observateur donné. Le point objet A doit être dans la zone hâchurée précédente pour que l’oeil puisse voir le point image A’ conjugué. La zone hâchurée est la zone d’observation.
Date
Source Own work
Author Hervé Darce

% 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}(-7,-3)(9,4)

% initialisation

 \psset{arrowscale=3}

% points

 \pstGeonode[PointSymbol=none,PointName=none](0,3){M'_1}
 \pstGeonode[PointSymbol=none,PointName=none](0,-1){M'_2}
 \pstGeonode[PointSymbol=none,PointName=none](0.2,3){M'_4}
 \pstGeonode[PointSymbol=none,PointName=none](0.2,-1){M'_3}
 \pstGeonode[PointSymbol=none,PointName=none](-5,-2.5){O}

% Miroir

 \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_1}[M_1]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_2}[M_2]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_3}[M_3]
 \pstRotation[PointSymbol=none,PointName=none,RotAngle=0]{I}{M'_4}[M_4]
 \psset{CodeFig=true}
 \pstOrtSym[SegmentSymbol=pstslash,PosAngle=0,CodeFigColor=blue,PosAngle=90]{M_1}{M_2}{O}[O']
 \psset{CodeFig=false}
\pspolygon[fillstyle=solid,fillcolor=BleuVerre](M_1)(M_2)(M_3)(M_4)
 \pstLineAB[nodesep=-2]{M_1}{M_2}
 \pstTranslation[PointName=none,PointSymbol=none,PosAngle=180,DistCoef=0.4]{O'}{O}{M_1}[N_1]
 \pstTranslation[PointName=none,PointSymbol=none,PosAngle=180,DistCoef=0.4]{O'}{O}{M_2}[N_2]

% construction M_1

 \pstLineAB[linecolor=red]{O}{M_1}
 \pstLineAB[linecolor=red,nodesep=3,]{>-}{M_1}{O}
 \pstLineAB[linestyle=dashed]{M_1}{N_1}
 \pstLineAB[linecolor=red,linestyle=dashed]{O}{M_1}
 \psset{HomCoef=2}
 \pstHomO[PointSymbol=none,PointName=none]{O'}{M_1}[L_1]
 \pstLineAB[linecolor=red]{L_1}{M_1}
 \pstLineAB[linecolor=red,nodesep=3,]{->}{L_1}{M_1}
 \pstLineAB[linecolor=red,linestyle=dashed]{O'}{M_1}

% construction M_2

\pstLineAB[linecolor=red]{O}{M_2}
 \pstLineAB[linecolor=red,nodesep=3,]{-<}{M_2}{O}
 \pstLineAB[linestyle=dashed]{M_2}{N_2}
 \pstLineAB[linecolor=red,linestyle=dashed]{O}{M_2}
 \psset{HomCoef=2}
 \pstHomO[PointSymbol=none,PointName=none]{O'}{M_2}[L_2]
 \pstLineAB[linecolor=red]{L_2}{M_2}
 \pstLineAB[linecolor=red,nodesep=3,]{<-}{L_2}{M_2}
 \pstLineAB[linecolor=red,linestyle=dashed]{O'}{M_2}

% coloriage

 \pspolygon[fillstyle=vlines,linestyle=none](L_2)(M_2)(M_1)(L_1)

% oeil

 \rput{-142}(-6.4,-3.6){\eye}
 \end{pspicture}
 \ccbysa {\tiny Hervé Darce (commons.wikimedia.org)}
 \end{document}

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current11:08, 28 January 2021Thumbnail for version as of 11:08, 28 January 2021435 × 455 (76 KB)Herve-Darce (talk | contribs)Uploaded own work with UploadWizard

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