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      01.cursos/topics.en.md
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      04.curriculum/01.physics-chemistry-biology/02.hills/01.nature light/topic.es.md
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01.cursos/topics.en.md

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--- ---
title: Courses title: Courses
published: false
published: true
publish_date: '01-09-2019 14:10' publish_date: '01-09-2019 14:10'
slug: courses
routable: false
visible: false visible: false
--- ---

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04.curriculum/01.physics-chemistry-biology/02.hills/01.nature light/topic.es.md

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---
title: 'La nature de la lumière'
slug: nature-light
---

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title: 'The nature of light'
---

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04.curriculum/01.physics-chemistry-biology/02.hills/01.nature-light/topic.es.md

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---
title: 'La naturaleza de la luz'
---

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--- ---
title: 'La nature de la lumière' title: 'La nature de la lumière'
slug: nature-light
--- ---

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---
title: 'The concept of light ray T'
---
###Fondement de l'optique géométrique</h2>
####Concepts et principe de base</h3>
#####Le rayon de lumière</h4>
un peu plus concepttualisation que le niveau 2, ou l'on en parle comme si cela était évident.

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---
title: 'El concepto de rayo de luz T'
---
###Fondement de l'optique géométrique</h2>
####Concepts et principe de base</h3>
#####Le rayon de lumière</h4>
un peu plus concepttualisation que le niveau 2, ou l'on en parle comme si cela était évident.

11
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/02.geometrical-optics-foundings/06.concept-ray-of-light-2/01.concept-ray-of-light-T/textbook.fr.md

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---
title: 'Le concept de rayon lumineux T'
---
###Fondement de l'optique géométrique</h2>
####Concepts et principe de base</h3>
#####Le rayon de lumière</h4>
un opeu plus concepttualisation que le niveau 2, ou l'on en parle comme si cela était évident.

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04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/02.geometrical-optics-foundings/06.concept-ray-of-light-2/01.concept-ray-of-light-T/topic.en.md

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title: 'Le concept de rayon lumineux'
---

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---
title: 'Le concept de rayon lumineux'
---

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---
title: 'The concept of light ray F'
media_order: 'viajar1.jpg,OG_rayons_foret.mp3,OG_rayons_foret.ogg,rays_forest.jpg'
---
###Foundings of geometrical optics
####Geometrical Optics : <br>a simple physical model.
Its foundings are :
* The concept of <em>light ray</em> : oriented trajectory of the light energy.
* The concept of <em>refractive index</em> : characterizes the apparent speed of the light in a homogeneous medium.
* The <em>Fermat's principle</em>.
#####Ray of light <a id="light-ray"></a>
![](rays_forest.jpg)
[OG_rayons_foret.mp3](OG_rayons_foret.mp3)[OG_rayons_foret.ogg](OG_rayons_foret.ogg)
<!--Pour l'audio :
Se promener en forêt par une journée chaude de plein été est un plaisir immense. Le contraste entre la fraicheur des parties ombragées par le feuillage et les troncs d'arbres, et la chaleur dans la lumière directe du soleil est frappant. Les faisceaux de lumière directe augmentent la température de l'air, te faisant transpirer, et frappent ta peau en te donnant cette légère sensation, non désagréable car maitrisée, de brûlure. La lumière transporte de l'énergie.... En marchant, tu peux anticiper, presser le pas à l'arrivée d'une zone ombragée, car le jeu de la lumière avec les arbres zèbre l'espace autour de toi. Dans l'air aux senteurs uniques et merveilleuses de la forêt, les rayons de lumières se propagent en lignes droites, ils suivent la trajectoire de propagation de l'énergie lumineuse.-->
<!--audio id="son2" class="M3P2_audio" controls preload="auto">
<source src="../audio/OG_rayons_foret.ogg" type="audio/ogg">
<source src="../audio/OG_rayons_foret.mp3" type="audio/mpeg">
Your browser does not support the audio element.
</audio-->
The <strong>light rays</strong> are <ins>oriented continuous lines</ins> that, in each of their points, indicate the <ins>direction of propagation of the light energy</ins>.
Les rayons lumineux suivent des <ins> lignes droites dans un milieu homogène</ins>
Les rayons lumineux <ins>n'interagissent pas entre eux</ins>
##### L'indice de réfraction {#refractive-index}
<strong>Indice de réfraction $n$ </strong>:
<strong>$n\;=\;\frac{c}{v}$</strong>
* <strong>c </strong>:<ins> vitesse de la lumière dans le vide </ins>(limite absolue)
* <strong>v </strong>: <ins> vitesse de la lumière dans le milieu </ins>homogène.
* grandeur physique <strong>sans dimension</strong> et <strong>toujours >1</strong>.
Dépendance : <strong>$n\;=\;n(\nu)\;\;\;$ , ou $\;\;\;n\;=\;n(\lambda)\;\;\;$</strong><ins>(avec $\lambda$ longueur d'onde dans le vide)</ins>
!! POUR ALLER PLUS LOIN :
!!
!!sur l'ensemble du spectre électromagnétique et pour tout milieu :
!! valeur complexe dépendante de la fréquence de l'onde électromagnétique, fortes variations représentatives de tous les mécanismes d'interaction lumière/matières : $n(\nu)=\Re[n(\nu)]+\Im[n(\nu)]$<br>
!!
!! sur le domaine visible et pour milieu transparent :<br>
!! valeur réelle, faibles variations de $n$ avec $\nu$ ( $\frac{\Delta n}{n} < 1\%$)
![](viajar1.jpg)
##### Chemin optique {#optical-path}
<strong>chemin optique</strong><ins> $\delta$</ins>&nbsp;&nbsp;&nbsp; $=$
<strong>longueur euclidienne</strong><ins> $s$ </ins>&nbsp;&nbsp; $\times$ &nbsp;&nbsp; <strong>indice de réfraction</strong><ins> $n$</ins>
* <strong>$\Gamma$</strong> : <ins>chemin (ligne continue) entre 2 points fixes A et B</ins>
* <strong>$\mathrm{d}s_P$</strong> : <ins>élément de longueur infinitésimal au point P sur le chemin $\Gamma$</ins>
* <strong>$n_P$</strong> : <ins>indice de réfraction au point P</ins>
* <strong>$\mathrm{d}\delta_P$</strong> : <ins>chemin optique infinitésimal au point P sur le chemin $\Gamma$</ins>
Chemin optique le long d'un chemin entre 2 points fixes A et B :
<strong>$\delta\;=\;\int_{P \in \Gamma}\mathrm{d}\delta_P\;=\;\int_{P \in \Gamma}n_P\cdot\mathrm{d}s_P$</strong>
* <strong>$\delta$</strong> $=\int_{\Gamma}n\cdot\mathrm{d}s\;=\;\int_{\Gamma}\frac{c}{v}\cdot\mathrm{d}s$ = $c\;\int_{\Gamma}\frac{\mathrm{d}s}{v}$ = <ins>$\;c\;\tau$</ins>
* <strong>$\delta$</strong> est <ins>proportionnel au temps de parcours</ins>.

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---
title: 'El concepto de rayo de luz F'
media_order: 'OG_rayons_foret.mp3,OG_rayons_foret.ogg,rays_forest.jpg'
---
###Fundamentos de la óptica geométrica
####Optique géométrique : <br>un modèle physique simple.
Ses fondements sont :
* Le concept de <em>rayon lumineux</em> : trajectoire orientée de l'énergie lumineuse
* Le concept d' <em>indice de réfraction</em> : caractérise la vitesse apparente de la lumière dans un milieu homogène
* Le <em>principe de Fermat</em>
#####Rayo de luz <a id="light-ray"></a>
![](rays_forest.jpg)
[OG_rayons_foret.mp3](OG_rayons_foret.mp3)[OG_rayons_foret.ogg](OG_rayons_foret.ogg)
<!--Pour l'audio :
Se promener en forêt par une journée chaude de plein été est un plaisir immense. Le contraste entre la fraicheur des parties ombragées par le feuillage et les troncs d'arbres, et la chaleur dans la lumière directe du soleil est frappant. Les faisceaux de lumière directe augmentent la température de l'air, te faisant transpirer, et frappent ta peau en te donnant cette légère sensation, non désagréable car maitrisée, de brûlure. La lumière transporte de l'énergie.... En marchant, tu peux anticiper, presser le pas à l'arrivée d'une zone ombragée, car le jeu de la lumière avec les arbres zèbre l'espace autour de toi. Dans l'air aux senteurs uniques et merveilleuses de la forêt, les rayons de lumières se propagent en lignes droites, ils suivent la trajectoire de propagation de l'énergie lumineuse.-->
<!--audio id="son2" class="M3P2_audio" controls preload="auto">
<source src="../audio/OG_rayons_foret.ogg" type="audio/ogg">
<source src="../audio/OG_rayons_foret.mp3" type="audio/mpeg">
Your browser does not support the audio element.
</audio-->
Les <strong>rayons lumineux</strong> sont des <ins>lignes orientées</ins> qui en chacun de leur point, indiquent la <ins>direction et le sens de propagation de l'énergie lumineuse</ins>.
Les rayons lumineux suivent des <ins> lignes droites dans un milieu homogène</ins>
Les rayons lumineux <ins>n'interagissent pas entre eux</ins>
##### L'indice de réfraction <a id="refractive-index"></a>
<strong>Indice de réfraction $n$ </strong>:
<strong>$n\;=\;\frac{c}{v}$</strong>
* <strong>c </strong>:<ins> vitesse de la lumière dans le vide </ins>(limite absolue)
* <strong>v </strong>: <ins> vitesse de la lumière dans le milieu </ins>homogène.
* grandeur physique <strong>sans dimension</strong> et <strong>toujours >1</strong>.
Dépendance : <strong>$n\;=\;n(\nu)\;\;\;$ , ou $\;\;\;n\;=\;n(\lambda)\;\;\;$</strong><ins>(avec $\lambda$ longueur d'onde dans le vide)</ins>
!! POUR ALLER PLUS LOIN :
!!
!!sur l'ensemble du spectre électromagnétique et pour tout milieu :
!! valeur complexe dépendante de la fréquence de l'onde électromagnétique, fortes variations représentatives de tous les mécanismes d'interaction lumière/matières : $n(\nu)=\Re[n(\nu)]+\Im[n(\nu)]$<br>
!!
!! sur le domaine visible et pour milieu transparent :<br>
!! valeur réelle, faibles variations de $n$ avec $\nu$ ( $\frac{\Delta n}{n} < 1\%$)
##### Chemin optique <a id="optical-path"></a>
<strong>chemin optique</strong><ins> $\delta$</ins>&nbsp;&nbsp;&nbsp; $=$
<strong>longueur euclidienne</strong><ins> $s$ </ins>&nbsp;&nbsp; $\times$ &nbsp;&nbsp; <strong>indice de réfraction</strong><ins> $n$</ins>
* <strong>$\Gamma$</strong> : <ins>chemin (ligne continue) entre 2 points fixes A et B</ins>
* <strong>$\mathrm{d}s_P$</strong> : <ins>élément de longueur infinitésimal au point P sur le chemin $\Gamma$</ins>
* <strong>$n_P$</strong> : <ins>indice de réfraction au point P</ins>
* <strong>$\mathrm{d}\delta_P$</strong> : <ins>chemin optique infinitésimal au point P sur le chemin $\Gamma$</ins>
Chemin optique le long d'un chemin entre 2 points fixes A et B :
<strong>$\delta\;=\;\int_{P \in \Gamma}\mathrm{d}\delta_P\;=\;\int_{P \in \Gamma}n_P\cdot\mathrm{d}s_P$</strong>
* <strong>$\delta$</strong> $=\int_{\Gamma}n\cdot\mathrm{d}s\;=\;\int_{\Gamma}\frac{c}{v}\cdot\mathrm{d}s$ = $c\;\int_{\Gamma}\frac{\mathrm{d}s}{v}$ = <ins>$\;c\;\tau$</ins>
* <strong>$\delta$</strong> est <ins>proportionnel au temps de parcours</ins>.

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---
title: 'Le concept de rayon lumineux F'
media_order: 'Fermat_mir_3ray_650.gif,Fermat_mir_1ray_min_650.jpg,Fermat_mir_1ray_max_650.jpg,fermat_mir_elliptique_650.gif,rays_forest.jpg,OG_rayons_foret.ogg,stationnarite3_650.jpg,OG_rayons_foret.mp3'
---
###Fondement de l'optique géométrique
####Optique géométrique : <br>un modèle physique simple.
Ses fondements sont :
* Le concept de <em>rayon lumineux</em> : trajectoire orientée de l'énergie lumineuse
* Le concept d' <em>indice de réfraction</em> : caractérise la vitesse apparente de la lumière dans un milieu homogène
* Le <em>principe de Fermat</em>
##### Rayon lumineux <a id="light-ray"></a>
![](rays_forest.jpg)
[OG_rayons_foret.mp3](OG_rayons_foret.mp3)[OG_rayons_foret.ogg](OG_rayons_foret.ogg)
<!--Pour l'audio :
Se promener en forêt par une journée chaude de plein été est un plaisir immense. Le contraste entre la fraicheur des parties ombragées par le feuillage et les troncs d'arbres, et la chaleur dans la lumière directe du soleil est frappant. Les faisceaux de lumière directe augmentent la température de l'air, te faisant transpirer, et frappent ta peau en te donnant cette légère sensation, non désagréable car maitrisée, de brûlure. La lumière transporte de l'énergie.... En marchant, tu peux anticiper, presser le pas à l'arrivée d'une zone ombragée, car le jeu de la lumière avec les arbres zèbre l'espace autour de toi. Dans l'air aux senteurs uniques et merveilleuses de la forêt, les rayons de lumières se propagent en lignes droites, ils suivent la trajectoire de propagation de l'énergie lumineuse.-->
<!--audio id="son2" class="M3P2_audio" controls preload="auto">
<source src="../audio/OG_rayons_foret.ogg" type="audio/ogg">
<source src="../audio/OG_rayons_foret.mp3" type="audio/mpeg">
Your browser does not support the audio element.
</audio-->
Les <strong>rayons lumineux</strong> sont des <ins>lignes orientées</ins> qui en chacun de leur point, indiquent la <ins>direction et le sens de propagation de l'énergie lumineuse</ins>.
Les rayons lumineux suivent des <ins> lignes droites dans un milieu homogène</ins>
Les rayons lumineux <ins>n'interagissent pas entre eux</ins>
##### L'indice de réfraction <a id="refractive-index"></a>
<strong>Indice de réfraction $n$ </strong>:
<strong>$n\;=\;\frac{c}{v}$</strong>
* <strong>c </strong>:<ins> vitesse de la lumière dans le vide </ins>(limite absolue)
* <strong>v </strong>: <ins> vitesse de la lumière dans le milieu </ins>homogène.
* grandeur physique <strong>sans dimension</strong> et <strong>toujours >1</strong>.
Dépendance : <strong>$n\;=\;n(\nu)\;\;\;$ , ou $\;\;\;n\;=\;n(\lambda)\;\;\;$</strong><ins>(avec $\lambda$ longueur d'onde dans le vide)</ins>
!! POUR ALLER PLUS LOIN :
!!
!!sur l'ensemble du spectre électromagnétique et pour tout milieu :
!! valeur complexe dépendante de la fréquence de l'onde électromagnétique, fortes variations représentatives de tous les mécanismes d'interaction lumière/matières : $n(\nu)=\Re[n(\nu)]+\Im[n(\nu)]$<br>
!!
!! sur le domaine visible et pour milieu transparent :<br>
!! valeur réelle, faibles variations de $n$ avec $\nu$ ( $\frac{\Delta n}{n} < 1\%$)
##### Chemin optique <a id="optical-path"></a>
<strong>chemin optique</strong><ins> $\delta$</ins>&nbsp;&nbsp;&nbsp; $=$
<strong>longueur euclidienne</strong><ins> $s$ </ins>&nbsp;&nbsp; $\times$ &nbsp;&nbsp; <strong>indice de réfraction</strong><ins> $n$</ins>
* <strong>$\Gamma$</strong> : <ins>chemin (ligne continue) entre 2 points fixes A et B</ins>
* <strong>$\mathrm{d}s_P$</strong> : <ins>élément de longueur infinitésimal au point P sur le chemin $\Gamma$</ins>
* <strong>$n_P$</strong> : <ins>indice de réfraction au point P</ins>
* <strong>$\mathrm{d}\delta_P$</strong> : <ins>chemin optique infinitésimal au point P sur le chemin $\Gamma$</ins>
Chemin optique le long d'un chemin entre 2 points fixes A et B :
<strong>$\delta\;=\;\int_{P \in \Gamma}\mathrm{d}\delta_P\;=\;\int_{P \in \Gamma}n_P\cdot\mathrm{d}s_P$</strong>
* <strong>$\delta$</strong> $=\int_{\Gamma}n\cdot\mathrm{d}s\;=\;\int_{\Gamma}\frac{c}{v}\cdot\mathrm{d}s$ = $c\;\int_{\Gamma}\frac{\mathrm{d}s}{v}$ = <ins>$\;c\;\tau$</ins>
* <strong>$\delta$</strong> est <ins>proportionnel au temps de parcours</ins>.

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---
title: 'Le concept de rayon lumineux M'
media_order: 'rays_forest.jpg,OG_rayons_foret.ogg,OG_rayons_foret.mp3'
---
###Média sur Fondement de l'optique géométrique

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title: 'The concept of light ray M'
---

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title: 'El concepto de rayo de luz M'
---

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title: 'Le concept de rayon lumineux'
---

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title: 'The concept of light ray 2'
---

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---
title: 'El concepto de rayo de luz'
---

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---
title: Ray-tracing
slug: light-sources
---
#### cours à construire
<!-- des idées:
1) "lumière diffuse", correct? , je veux dire une lumière qui a subi une "réflexion spéculaire" ou une "réflexion diffuse". Je ne suis pas sûr que le mot "diffusion" ou "lumière dispersée" s'applique exactement dans ce cas particulier de réflexion spéculaire ... (?) À vérifier (la diffusion de Rayleight par des sphères homogènes me semble différente)
2) il est important de parler des sources réelles étendues qui diffusent la lumière, puis de considérer chaque surface infinitésimale de l'objet étendu, la notion de source ponctuelle qui diffuse la lumière et les caractéristiques de chaque source ponctuelle: tous les rayons émis par ces points les sources proviennent des sources ponctuelles, divergent de la source ponctuelle. Ce sera aussi la caractéristique d'un objet ponctuel en optique géométrique.
En ce sens, toute source ponctuelle est un objet ponctuel, mais les objets ponctuels ne sont pas toutes des sources ponctuelles.
Doit être clair pour les étudiants.
-->

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---
title: 'Real sources of diffused light 2'
slug: ray-tracing-2
---
#### course to build
<!-- ideas :
1) "diffused light" , correct ? , i want to say light that has undergone "specular reflexion" or "diffuse reflection". I am not sure the word "scattering" or "scattered light" apply exactly in this particular case of specular reflexion... (?) To check (Rayleight scattering by homogeneous spheres seems to me different)
2) it is important to tell about extended real sources that diffuse the light, then to consider each infinitesimal surface of the extended object, notion of point source that diffuse the light, and the characteristics of each point sources : all rays emmitted by these point sources originate from the point sources, diverge from the point source. This will be too the characteristic of a point object in geometrical optics.
In this sense : all point source is a point object, but point objects are not all point sources.
Must be clear for student.
-->

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---
title: 'Fuentes reales que dispersan la luz.'
slug: light-sources
---
#### Curso que hay que construir
<!--ideas:
1) "luz difusa", ¿correcto? , quiero decir luz que ha sufrido "reflexión especular" o "reflexión difusa". No estoy seguro de que la palabra "dispersión" o "luz dispersada" se aplique exactamente en este caso particular de reflexión especular ... (?) Para verificar (la dispersión de Rayleight por esferas homogéneas me parece diferente)
2) es importante hablar acerca de las fuentes reales extendidas que difunden la luz, luego considerar cada superficie infinitesimal del objeto extendido, la noción de fuente puntual que difunde la luz y las características de cada fuente puntual: todos los rayos emitidos por este punto las fuentes se originan de las fuentes puntuales, divergen de la fuente puntual. Esta será también la característica de un objeto puntual en la óptica geométrica.
En este sentido: todas las fuentes puntuales son un objeto puntual, pero los objetos puntuales no son todas fuentes puntuales.
Debe quedar claro para los alumnos.
-->

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---
title: 'Stigmatic optical systems'
slug: stigmatism
---

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---
title: 'Stigmatic optical systems'
slug: stigmatism
---

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---
title: 'Sistemas ópticos estigmáticos'
slug: stigmatism
---

5
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/04.conjugate-points/03.stigmatism/default.fr.md

@ -1,5 +0,0 @@
---
title: 'Systèmes optiques stigmatiques'
slug: stigmatism
---

6
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/05.N3_theme_1_chap2-3/07.N4_theme1_chap1_1_1-2/01.N4_theme1_chap1_1_1-4/topic.en.md

@ -1,6 +0,0 @@
---
title: 'Le dioptre '
---
Dioptre sphérique,
Dioptre plan

6
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/05.N3_theme_1_chap2-3/07.N4_theme1_chap1_1_1-2/02.N4_theme1_chap1_1_1/topic.en.md

@ -1,6 +0,0 @@
---
title: 'Le miroir'
---
Miroir sphérique,
Miroir plan

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/05.N3_theme_1_chap2-3/07.N4_theme1_chap1_1_1-2/topic.en.md

@ -1,4 +0,0 @@
---
title: 'Modélisation paraxiale des éléments optiques simples'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/05.N3_theme_1_chap2-3/08.N4_theme1_chap1_1_1-3/topic.en.md

@ -1,4 +0,0 @@
---
title: 'Modélisation paraxiale des systèmes optiques centrés'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/05.N3_theme_1_chap2-3/topic.en.md

@ -1,4 +0,0 @@
---
title: 'L''optique géométrique paraxiale (ou optique gaussienne)'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/06.N3_theme_1_chap2-6/topic.en.md

@ -1,4 +0,0 @@
---
title: 'Calcul de la lentille correctrice de l''oeil myope ou hypermétrope.'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/06.N3_theme_1_chap2-6/topic.es.md

@ -1,4 +0,0 @@
---
title: 'Calcul de la lentille correctrice de l''oeil myope ou hypermétrope.'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/07.N3_theme_1_chap2-5/07.N4_theme1_chap1_1_1-2/topic.en.md

@ -1,4 +0,0 @@
---
title: 'La loupe'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/07.N3_theme_1_chap2-5/07.N4_theme1_chap1_1_1-2/topic.es.md

@ -1,4 +0,0 @@
---
title: 'La loupe'
---

4
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/07.N3_theme_1_chap2-5/08.N4_theme1_chap1_1_1-3/topic.es.md

@ -1,4 +0,0 @@
---
title: 'L''objectif (et téléobjectif et objectif macro)'
---

5
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/07.N3_theme_1_chap2-5/topic.en.md

@ -1,5 +0,0 @@
---
title: 'Comprendre, dimensionner et caractériser les instruments optiques'
---
Là, on reprends les démonstrations, qui font que en considérent les conditions de gauss

5
04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/07.N3_theme_1_chap2-5/topic.es.md

@ -1,5 +0,0 @@
---
title: 'Comprendre, dimensionner et caractériser les instruments optiques'
---
Là, on reprends les démonstrations, qui font que en considérent les conditions de gauss

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0
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04.curriculum/01.physics-chemistry-biology/03.foothills/01.nature light/topic.en.md

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---
title: 'The nature of light'
slug: nature-light
---

5
04.curriculum/01.physics-chemistry-biology/03.foothills/01.nature light/topic.es.md

@ -0,0 +1,5 @@
---
title: 'La naturaleza de la luz'
slug: nature-light
---

0
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04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/01.geometrical-optics-general/02.geometrical-optics-historic/03.geometrical-optics-historic-M/topic.es.md → 04.curriculum/01.physics-chemistry-biology/03.foothills/02.Geometrical-optics/01.geometrical-optics-general/02.geometrical-optics-historic/03.geometrical-optics-historic-M/topic.es.md

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04.curriculum/01.physics-chemistry-biology/03.foothills/01.Geometrical-optics/01.geometrical-optics-general/02.geometrical-optics-historic/lesson-columns.en.md → 04.curriculum/01.physics-chemistry-biology/03.foothills/02.Geometrical-optics/01.geometrical-optics-general/02.geometrical-optics-historic/lesson-columns.en.md

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