File:ReflexionNatureImage.svg
![File:ReflexionNatureImage.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/ReflexionNatureImage.svg/599px-ReflexionNatureImage.svg.png?20210128110816)
Original file (SVG file, nominally 599 × 453 pixels, file size: 76 KB)
Captions
Captions
Summary
[edit]DescriptionReflexionNatureImage.svg |
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
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- 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
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 11:08, 28 January 2021 | ![]() | 599 × 453 (76 KB) | Herve-Darce (talk | contribs) | Uploaded own work with UploadWizard |
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Height | 362pt |