File:LentilleConvergenteConstructionImageObjetInfini03FR.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 ce fichier tex en svg :

% Debian (contrat social https://fr.wikipedia.org/wiki/Contrat_social_Debian)

% apt-get install texlive-full ps2eps geg

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

% Préambule

 \documentclass[a4paper]{slides}
 \usepackage[french]{babel}
 \usepackage[utf8]{inputenc}
 \usepackage[T1]{fontenc}
 \usepackage{pstricks}
 \usepackage{pst-text}
 \usepackage{pst-eucl}
 \usepackage{amsmath}
 \usepackage{lmodern}
 \usepackage{epsf}
 \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,-3)(9,6)
 \psset{arrowscale=3}
 \pstGeonode[PointName=none,PointSymbol=none](0,3){M}
 \pstGeonode[PointName=none](0,0){O}
 \pstGeonode[PointName=none](-5.5,0){F}
 \pstGeonode[PointName=none,PointSymbol=none](-8,3.5){B}
 \pstGeonode[PointName=none,PointSymbol=none](5.5,-1.5){B'}

 \pstSymO[PointName=none,PointSymbol=none]{O}{M}[N]
 \pstRotation[PointName=none,PointSymbol=none,RotAngle=90]{O}{M}[X1]
 \pstHomO[PointSymbol=none,PointName=none,HomCoef=3]{O}{X1}[X']
 \pstSymO[PointName=none,PointSymbol=none]{O}{X'}[X]
 \pstSymO[PointName=none]{O}{F}[F']
 \pstProjection[PointSymbol=none,PointName=none]{O}{X}{B'}[A']
 \pstProjection[PointSymbol=none,PointName=none]{O}{X}{B}[A]
 \pstRotation[PointName=none,PointSymbol=none,RotAngle=-90]{F'}{O}[P1']
 \pstProjection[PointSymbol=none,PointName=none]{F'}{P1'}{M}[P2']
 \pstSymO[PointName=none,PointSymbol=none]{F'}{P2'}[P3']

 \pstLineAB[linestyle=dashed]{P2'}{P3'}

 \pstLineAB{<->}{N}{M}
 \pstLineAB[]{->}{X'}{X}
 \pstLineAB[]{->}{A'}{B'}

 \pstTranslation[PointName=none,PointSymbol=none]{O}{B'}{B}[B1]
 \pstInterLL[PointSymbol=none,PointName=none]{B}{B1}{M}{N}{BL1}
 \pstInterLL[PointSymbol=none,PointName=none]{B}{A}{O}{B'}{OB3}
 \pstProjection[PointSymbol=none,PointName=none]{M}{N}{B'}[BL2]
 \pstInterLL[PointSymbol=none,PointName=none]{F}{BL2}{A}{B}{OB2}

 \pstLineAB[linecolor=red,nodesepA=0]{B}{BL1}
 \pstLineAB[linecolor=red,nodesep=1]{>-}{B}{BL1}

% \pstLineAB[linecolor=red,nodesepB=-1]{BL1}{B'} % \pstLineAB[linecolor=red,nodesep=1]{>-}{BL1}{B'}

 \pstLineAB[linecolor=red,nodesepA=0]{OB2}{BL2}
 \pstLineAB[linecolor=red,nodesep=1]{>-}{OB2}{BL2}
 \pstLineAB[linecolor=red,nodesepB=-1]{BL2}{B'}
 \pstLineAB[linecolor=red,nodesep=1]{>-}{BL2}{B'}

 \pstLineAB[linecolor=red,nodesepA=0]{OB3}{O}
 \pstLineAB[linecolor=red,nodesep=1]{>-}{OB3}{O}
 \pstLineAB[linecolor=red,nodesepB=-1]{O}{B'}
 \pstLineAB[linecolor=red,nodesep=1]{>-}{O}{B'}

 \uput{0.5}[90](M){$L$}
 \uput{0.5}[0](X){$x$}

%\uput{0.25}[90](F){$F$}

 \uput{0.35}[140](F'){$F'=A'$}
 \uput{0.5}[30](O){$O$}
 \uput{0.5}[90](F){$F$}
 \uput{0.5}[-120](B'){$B'$}
 \uput{0.5}[180](B){$B~\infty$}
 \uput{0.5}[180](OB2){$B~\infty$}
 \uput{0.5}[180](OB3){$B~\infty$}
 \uput{0.5}[180](A){$A~\infty$}
 \uput{0.5}[90](P2'){Plan focal image}

 \end{pspicture}

 % Copyright

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

 \end{document}

I, the copyright holder of this work, hereby publish it under the following license:

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You are free:

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Under the following conditions:

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• 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.

https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue