File:ReflexionNatureImage.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file(SVG file, nominally 599 × 453 pixels, file size: 76 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
Description
Français : L’image conjuguée A ′ B ′ de l’objet AB par le miroir plan a même dimension que l’objet AB: AB = A ′ B ′

L’oeil voit A ′ B ′ sous l’angle θ

L’image de l’objet d est b. L’image d’un objet ne possédant pas de symétrie n’est pas superposable. Comme la main ne possède pas de symétrie, la main droite n’est pas superposable avec son image. Par contre, comme une chaise possède un plan de symétrie, la chaise est superposable avec son image.
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}(-9,-6)(9,5)

% initialisation

 \psset{arrowscale=3}

% points

 \pstGeonode[PointSymbol=none,PointName=none](0,5){M'_1}
 \pstGeonode[PointSymbol=none,PointName=none](0,-5){M'_2}
 \pstGeonode[PointSymbol=none,PointName=none](0.2,5){M'_4}
 \pstGeonode[PointSymbol=none,PointName=none](0.2,-5){M'_3}
 \pstGeonode[PosAngle=90](-5,4.5){A}
 \pstGeonode[PosAngle=-90](-5,1.5){B}
 \pstGeonode[PointName=none](-7,-3){O}

% objet

 \pstLineAB[linewidth=3\pslinewidth]{B}{A}
 \psset{HomCoef=0.5}
 \pstHomO[PointSymbol=none,PointName=none]{B}{A}[D]
 \pstRotation[PosAngle=180,RotAngle=60]{B}{D}[C]
 \pscurve[linewidth=3\pslinewidth](B)(C)(D)

% 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}{A}[A']
 \pstOrtSym[SegmentSymbol=pstslashh,PosAngle=0,CodeFigColor=blue,PosAngle=-90]{M_1}{M_2}{B}[B']
 \pstOrtSym[SegmentSymbol=pstslashhh,PosAngle=0,CodeFigColor=blue,PosAngle=0]{M_1}{M_2}{C}[C']
 \psset{CodeFig=false}
 \pstOrtSym[PointSymbol=none,PointName=none]{M_1}{M_2}{D}[D']
 \pstInterLL[PosAngle=0]{O}{A'}{M_1}{M_2}{I_A}
 \pstInterLL[PosAngle=0]{O}{B'}{M_1}{M_2}{I_B}
 \pspolygon[fillstyle=solid,fillcolor=BleuVerre](M_1)(M_2)(M_3)(M_4)
 \pstLineAB[]{M_1}{M_2}
 \pstTranslation[PointSymbol=none,PosAngle=180,DistCoef=0.75]{A'}{A}{I_A}[N_A]
 \pstTranslation[PointSymbol=none,PosAngle=180,DistCoef=0.75]{B'}{B}{I_B}[N_B]

% Image

 \pstLineAB[linestyle=dashed,linewidth=3\pslinewidth]{B'}{A'}
 \pscurve[linestyle=dashed,linewidth=3\pslinewidth](B')(C')(D')

% construction A

 \pstLineAB[linecolor=red]{A}{I_A}
 \pstLineAB[linecolor=red,nodesep=3,]{->}{I_A}{A}
 \pstLineAB[linestyle=dashed]{I_A}{N_A}
 \pstLineAB[linecolor=red,linestyle=dashed]{A}{I_A}
 \pstLineAB[linecolor=red]{O}{I_A}
 \pstLineAB[linecolor=red,nodesep=3,]{-<}{O}{I_A}
 \pstLineAB[linecolor=red,linestyle=dashed]{A'}{I_A}

% construction B

 \pstLineAB[linecolor=red]{B}{I_B}
 \pstLineAB[linecolor=red,nodesep=3,]{->}{I_B}{B}
 \pstLineAB[linestyle=dashed]{I_B}{N_B}
 \pstLineAB[linecolor=red,linestyle=dashed]{B}{I_B}
 \pstLineAB[linecolor=red]{O}{I_B}
 \pstLineAB[linecolor=red,nodesep=3,]{-<}{O}{I_B}
 \pstLineAB[linecolor=red,linestyle=dashed]{B'}{I_B}

% Légende

 \uput{0.2}[-90](M_2){Miroir plan}
 \uput{0.5}[-150](A){Lettre \textbf{d}}
 \uput{0.5}[-30](A'){Lettre \textbf{b}}

% oeil

 \rput{-142}(-8.3,-4){\eye}

%angle

 \pstMarkAngle[LabelSep=3,MarkAngleRadius=2]{I_B}{O}{I_A}{$\theta$}
 \end{pspicture}
 \ccbysa {\tiny Hervé Darce (commons.wikimedia.org)}
 \end{document}

Licensing

[edit]
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.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current11:08, 28 January 2021Thumbnail for version as of 11:08, 28 January 2021599 × 453 (76 KB)Herve-Darce (talk | contribs)Uploaded own work with UploadWizard

There are no pages that use this file.

Metadata