File:LentilleConvergenteConstructionImageObjetInfini01FR.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=-1]{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=-1]{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'){$F'$}
 \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](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:

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.

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