Skip to content

Courses
Courses
Commit 267f298b authored by Claude Meny's avatar Claude Meny
Browse files
Options

Deleted... 

Deleted 03.spherical-refracting-surface/01.spherical-refracting-surface-main/textbook.en.md, 03.spherical-refracting-surface/01.spherical-refracting-surface-main/textbook.es.md, 03.spherical-refracting-surface/01.spherical-refracting-surface-main/textbook.fr.md, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/cheatsheet.en.md, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/cheatsheet.es.md, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/cheatsheet.fr.md, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/dioptre1ok.png, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/dioptre2ok.png, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/dioptre3ok.png, 03.spherical-refracting-surface/02.spherical-refracting-surface-overview/dioptre4ok.png, 03.spherical-refracting-surface/03.spherical-refracting-surface-beyond/annex.en.md, 03.spherical-refracting-surface/03.spherical-refracting-surface-beyond/annex.es.md, 03.spherical-refracting-surface/03.spherical-refracting-surface-beyond/annex.fr.md, 03.spherical-refracting-surface/04.spherical-refracting-surface-parallel-1/default.en.md, 03.spherical-refracting-surface/04.spherical-refracting-surface-parallel-1/default.es.md, 03.spherical-refracting-surface/04.spherical-refracting-surface-parallel-1/default.fr.md, 03.spherical-refracting-surface/05.spherical-refracting-surface-parallel-2/form.en.md, 03.spherical-refracting-surface/05.spherical-refracting-surface-parallel-2/form.es.md, 03.spherical-refracting-surface/05.spherical-refracting-surface-parallel-2/form.fr.md, 03.spherical-refracting-surface/06.spherical-refracting-surface-level-down/page.en.md, 03.spherical-refracting-surface/06.spherical-refracting-surface-level-down/page.es.md, 03.spherical-refracting-surface/06.spherical-refracting-surface-level-down/page.fr.md, 03.spherical-refracting-surface/07.spherical-refracting-surface-level-up/portal.en.md, 03.spherical-refracting-surface/07.spherical-refracting-surface-level-up/portal.es.md, 03.spherical-refracting-surface/07.spherical-refracting-surface-level-up/portal.fr.md, 03.spherical-refracting-surface/topic.en.md, 03.spherical-refracting-surface/topic.es.md, 03.spherical-refracting-surface/topic.fr.md files
parent d408ae50
Pipeline #860 failed with stage
    in 21 seconds
    Expand all Show whitespace changes
    Inline Side-by-side
    Showing with 0 additions and 728 deletions
    03.spherical-refracting-surface/01.spherical-refracting-surface-main/textbook.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Spherical refracting surface in paraxial approximation'
    ---
    ### Spherical refracting surface in paraxial approximation.
    #### Refracting surface.
    A **refracting surface** is a *polished surface between two media with different refractive indexes*.
    !!!! *BE CAREFUL* :<br>
    !!!! In the same way as we use in English the single word "mirror" to qualify a "reflecting surface", in French is use the single word "dioptre" to qualify a "refracting surface".
    !!!! The term "dioptre" in English is a unit of mesure of the vergence of an optical system. In French, the same unit of mesaure is named "dioptrie".
    !!!! So keep in mind the following scheme :
    !!!!
    !!!! refracting surface : *EN : refracting surface* , *ES : superficie refractiva* , *FR : dioptre*.<br>
    !!!! _A crystal ball forms a spherical refracting surface : un "dioptre sphérique" in French._
    !!!!
    !!!! unit of measure : *EN : dioptre* , *ES : dioptría* , *FR : dioptrie*.<br>
    !!!! _My corrective lens for both eyes are 4 dioptres : "4 dioptries" in French._
    #### Spherical refracting surface.
    #### Analytical study of the position and shape of an image.
    A **spherical refracting surface** in analytical paraxial optics is defined by *three quantities* :
    * **$`n_{ini}`$** : *refractive index of the initial medium* (the medium on the side on the incident light).
    * **$`n_{fin}`$** : *refractive index of the final medium* (the medium on the side on the emerging light, after crossing the refracting surface).
    * **$`\overline{SC}`$** : the *algebraic distance between the __vertex S__* (sometimes called "pole", is the centre of the aperture) *and the __center of curvature C__* of the refracting surface.
    ! *USEFUL* : The whole analytic study below also applies to a plane refracting surface. We just need to remark that a plane surface is a spherical surface whose radius of curvature tends towards infinity.
    <!--à finir !!!! BE CAREFUL : For a same physical situations, a spherical surface between two transparent media, for optics, ... -->
    Consider a *point object* **$`B_{obj}`$** whose orthogonal projection on the optical axis gives the *point object* **$`A_{obj}`$**. If the point object is located on the optical axis, then $`B_{obj}=A_{obj}`$ and we will use to named it point object $`A_{obj}`$. The point object $`B_{obj}`$ can be **real** *as well as* **virtual**.
    The **calculation of the position** of the *point image* **$`B_{ima}`$**, *conjugated point of the point object $`B_{obj}`$* by the refracting surface, is carried out in **two steps** :
    1. I use the **spherical refracting surface equation** (known too as the **"conjuction equation" for a spherical refracting surface**) to calculate the *position of the point* **$`A_{ima}`$**, $`A_{ima}`$ being the *orthogonal projection on the optical axis of the point image* $`B_{ima}`$.
    **$`\dfrac{n_{fin}}{\overline{SA_{ima}}}-\dfrac{n_{ini}}{\overline{SA_{obj}}}=\dfrac{n_{fin}-n_{ini}}{\overline{SC}}`$**
    To perform this I *need to know the __algebraic distance__* **$`\overline{SA_{obj}}`$**, and the *calculation of the __algebraic distance__* **$`\overline{SA_{ima}}`$** along the optical axis *gives me the position of $`A_{ima}`$*.
    <!--conjugación-->
    2. I use the **"transverse magnification equation" for a spherical refracting surface**, to calculate the *__algebraic value__ of the transverse magnification* **$`\overline{M_T}`$**, then to derive the *__algebraic length__* **$`\overline{A_{ima}B_{ima}}`$** of the segment $`[A_{ima}B_{ima}]`$, that is the algebraic distance of the point image $`B_{ima}`$ from its orthogonal projection $`A_{ima}`$ on the optical axis.
    By *definition :* **$`\overline{M_T}=\dfrac{\overline{A_{ima}B_{ima}}}{\overline{A_{obj}B_{obj}}}`$**.
    Its *expression for spherical refracting surface :* **$`\overline{M_T}=\dfrac{n_{ini}\cdot\overline{SA_{ima}}}{n_{fin}\cdot\overline{SA_{obj}}}`$**.
    I know $`\overline{SA_{obj}}$, $n_{ini}$ and $n_{fin}$, I have previously calculated $`\overline{SA_{ima}}$, so I can calculate $`\overline{M_T}`$ and deduced $`\overline{A_{ima}B_{ima}}`$
    ! *USEFUL* : The conjuction equation and the transverse magnification equation for a plane refracting surface are obtained by rewriting these equations for a spherical refracting surface in the limit when $`|\overline{SC}|\longrightarrow\infty`$.<br> Then we get *for a plane refracting surface :*
    !
    ! * *conjuction equation :*&nbsp;&nbsp; $`\dfrac{n_{fin}}{\overline{SA_{ima}}}-\dfrac{n_{ini}}{\overline{SA_{obj}}}=0`$.
    !
    ! * *transverse magnification equation :*&nbsp;&nbsp; $`\dfrac{n_{ini}\cdot\overline{SA_{ima}}}{n_{fin}\cdot\overline{SA_{obj}}}`$ &nbsp;&nbsp; (unchanged).
    !
    ! This generalizes and completes the knowledge you get about plane refracting surfaces seen in your pedagogical paths in plain and hills.
    #### Graphical study of the position and shape of an image.
    03.spherical-refracting-surface/01.spherical-refracting-surface-main/textbook.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Superficie refractaria esférica en aproximación paraxial.'
    ---
    ### Superficie refractaria esférica en aproximación paraxial.
    #### Superficie refractiva
    Una **superficie refractiva** es una *superficie pulida entre dos medios con diferentes índices de refracción*.
    !!!! *ATENCIÓN* : <br>
    !!!! De la misma manera que usamos en español la palabra "espejo" para calificar una "superficie reflectante", en francés se usa la palabra "dioptre" para calificar una "superficie refractante".
    !!!! El término "dioptre" en inglés es la unidad de medida "dioptría" de la vergencia de un sistema óptico. En francés, la misma unidad de mesa se llama "dioptrie".
    !!!! Así que ten en cuenta el siguiente esquema:
    !!!!
    !!!! superficie refractiva: *ES : superficie refractiva* , *FR : dioptre* , *EN : refracting surface*.<br>
    !!!! _Una bola de cristal forma una superficie refractiva esférica: un "dioptre sphérique" en francés._
    !!!!
    !!!! unidad de medida: *ES: dioptría* , *FR: dioptrie* , *EN: dioptre*.<br>
    !!!! _Mis lentes correctoras para ambos ojos son 4 dioptrías: "4 dioptries" en francés, y "4 dioptres" en inglés._
    #### Superficie refractiva esférica.
    #### Estudio analítico de la posición y forma de una imagen.
    Una **superficie refractiva esférica** en óptica analítica paraxial se caracteriza por "tres cantidades físicas" :
    * **$`n_{ini}`$** : *índice de refracción del medio inicial* (centro ubicado en el lado de la luz incidente).
    * **$`n_{fin}`$** : *índice de refracción del medio final * (medio ubicado en el lado de la luz emergente, después de la refracción por la superficie refractiva).
    * **$`\overline{SC}`$** : *distancia algebraica entre el __vértice S__* (punto de intersección de la superficie refractiva con su eje óptico, su eje de revolución.)* y el *_centro de curvatura_ C* de la superficie refractiva esférica.
    ! *IMPORTANTE*: El estudio analítico a continuación también se aplica para una superficie refractiva plana. Basta con señalar que una superficie refractiva plana es una superficie refractiva esférica cuyo radio de curvatura tiende hacia el infinito.
    Considera un *punto objeto* **$`B_{obj}`$** cuya proyección ortogonal en el eje óptico da el *punto objeto* **$`A_{obj}`$**. Si el punto del objeto está ubicado en el eje óptico, entonces $`B_{obj}=A_{obj}`$ y lo llamaremos punto objeto $`A_{obj}`$. El punto objeto $`B_{obj}`$ puede ser ambos **real** *y* **virtual**.
    El **cálculo de la posición**del *punto imagen* **$`B_ {ima}`$**, *punto conjugado del punto objeto $`B_ {obj}`$* por superficie refractiva esférica, sucede en **dos pasos** :
    1. Uso la **relación de conjugación de la superficie refractiva esférica** para calcular la *posición del punto* **$`A_ {ima}`$** , $`A_ {ima}`$ siendo la *proyección ortogonal en el eje óptico del punto de imagen * $`B_{ima}`$.
    **$`\dfrac{n_{fin}}{\overline{SA_{ima}}}-\dfrac{n_{ini}}{\overline{SA_{obj}}}=\dfrac{n_{fin}-n_{ini}}{\overline{SC}}`$**
    Para lograr esto *necesito conocer la _distancia algebraica_* **$`\overline{SA_{obj}}`$**, y el *cálculo de la _distancia algebraica _* **$`\overline{SA_{ima}}`$** a lo largo del eje óptico *me da la posición del punto $`A_{ima}`$*.
    2. Utilizo la **expresión de la "magnificación transversal" para una dioptría esférica** para calcular el *__valor algebraico__ de la magnificación transversal* **$` \overline{M_T}`$** *del segmento $`[A_ {obj } B_ {obj}]`$*, luego deduzco la *__longitud algebraica__* **$`\overline {A_{ima}B_ {ima}}`$** del aumento $`[A_ {ima}B_ { ima}]`$, que es la distancia entre el punto imagen $`B_{ima}`$ y su proyección ortogonal en el eje óptico $`A_{ima}`$.
    Por *definición :* **$`\overline{M_T}=\dfrac{\overline{A_{ima}B_{ima}}}{\overline{A_{obj}B_{obj}}}`$**.
    Su *expresión para un superficie refractiva esférica* es : **$`\overline{M_T}=\dfrac{n_{ini}\cdot\overline{SA_{ima}}}{n_{fin}\cdot\overline{SA_{obj}}}`$**.
    Conozco $`\overline{SA_{obj}}$, $n_{ini}$ and $n_{fin}$, calculé previamente $`\overline{SA_{ima}}$, entonces puedo determinar $`\overline{M_T}`$ y deducir $`\overline{A_{ima}B_{ima}}`$
    ! *IMPORTANTE* : La relación de conjugación y la expresión de la magnificación transversal para una superficie refractiva plana se obtienen fácilmente reescribiendo la relación de conjugación y la expresión e la magnificación transversal para una superficie refractiva esférica en el límite de un radio de curvatura que tiende hacia el infinito : $`|\overline{SC}|\longrightarrow\infty`$.<br> Cela donne *pour un dioptre plan :*
    !
    ! * *relación de conjugación :*&nbsp;&nbsp; $`\dfrac{n_{fin}}{\overline{SA_{ima}}}-\dfrac{n_{ini}}{\overline{SA_{obj}}}=0`$.
    !
    ! * *expresión de la magnificación transversal :*&nbsp;&nbsp; $`\dfrac{n_{ini}\cdot\overline{SA_{ima}}}{n_{fin}\cdot\overline{SA_{obj}}}`$ &nbsp;&nbsp; (no esta cambiada).
    !
    ! Esto generaliza y completa tu dominio de superficie refractiva plana en comparación con lo que vio en caminos pedagogicos en llanura y colinas.
    #### Etude graphique de la position et de la forme d'une image.
    03.spherical-refracting-surface/02.spherical-refracting-surface-overview/cheatsheet.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Spherical refracting surface : overview'
    media_order: dioptre-1.gif
    ---
    ### Spherical refracting surface modeling.
    #### Description
    ![](dioptre-1.gif)
    with :
    * arrow : indicates direction of light propagation.
    * $`n_{ini}`$ : refractive index of the initial medium.
    * $`n_{fin}`$ : refractive index of the final medium.
    * $`\overline{SC}`$ : algebraic distance between vertex S and center C of curvature on optical axis.
    !!!! *BE CAREFUL* :<br>
    !!!! In the same way as we use in English the single word "mirror" to qualify a "reflecting surface", in French is use the single word "dioptre" to qualify a "refracting surface".
    !!!! The term "dioptre" in English is a unit of mesure of the vergence of an optical system. In French, the same unit of mesaure is named "dioptrie".
    !!!! So keep in mind the following scheme :
    !!!!
    !!!! refracting surface : *EN : refracting surface* , *ES : superficie refractiva* , *FR : dioptre*.<br>
    !!!! _A crystal ball forms a spherical refracting surface : un "dioptre sphérique" in French._
    !!!!
    !!!! unit of measure : *EN : dioptre* , *ES : dioptría* , *FR : dioptrie*.<br>
    !!!! _My corrective lens for both eyes are 4 dioptres : "4 dioptries" in French._
    #### Spherical refracting surface.
    #### Analytical study of the position and shape of an image.
    A **spherical refracting surface** in analytical paraxial optics is defined by *three quantities* :
    * **$`n_{ini}`$** : *refractive index of the initial medium* (the medium on the side on the incident light).
    * **$`n_{fin}`$** : *refractive index of the final medium* (the medium on the side on the emerging light, after crossing the refracting surface).
    * **$`\overline{SC}`$** : the *algebraic distance between the __vertex S__* (sometimes called "pole", is the centre of the aperture) *and the __center of curvature C__* of the refracting surface.
    ! *USEFUL* : The whole analytic study below also applies to a plane refracting surface. We just need to remark that a plane surface is a spherical surface whose radius of curvature tends towards infinity.
    Consider a *point object* **$`B_{obj}`$** whose orthogonal projection on the optical axis gives the *point object* **$`A_{obj}`$**. If the point object is located on the optical axis, then $`B_{obj}=A_{obj}`$ and we will use to named it point object $`A_{obj}`$. The point object $`B_{obj}`$ can be **real** *as well as* **virtual**.
    The **calculation of the position** of the *point image* **$`B_{ima}`$**, *conjugated point of the point object $`B_{obj}`$* by the refracting surface, is carried out in **two steps** :
    1. I use the **spherical refracting surface equation** (known too as the **"conjuction equation" for a spherical refracting surface**) to calculate the *position of the point* **$`A_{ima}`$**, $`A_{ima}`$ being the *orthogonal projection on the optical axis of the point image* $`B_{ima}`$.
    **$`\dfrac{n_{fin}}{\overline{SA_{ima}}}-\dfrac{n_{ini}}{\overline{SA_{obj}}}=\dfrac{n_{fin}-n_{ini}}{\overline{SC}}`$**
    To perform this I *need to know the __algebraic distance__* **$`\overline{SA_{obj}}`$**, and the *calculation of the __algebraic distance__* **$`\overline{SA_{ima}}`$** along the optical axis *gives me the position of $`A_{ima}`$*.
    <!--conjugación-->
    2. I use the **"transverse magnification equation" for a spherical refracting surface**, to calculate the *__algebraic value__ of the transverse magnification* **$`\overline{M_T}`$**, then to derive the *__algebraic length__* **$`\overline{A_{ima}B_{ima}}`$** of the segment $`[A_{ima}B_{ima}]`$, that is the algebraic distance of the point image $`B_{ima}`$ from its orthogonal projection $`A_{ima}`$ on the optical axis.
    By *definition :* **$`\overline{M_T}=\dfrac{\overline{A_{ima}B_{ima}}}{\overline{A_{obj}B_{obj}}}`$**.
    Its *expression for spherical refracting surface :* **$`\overline{M_T}=\dfrac{n_{ini}\cdot\overline{SA_{ima}}}{n_{fin}\cdot\overline{SA_{obj}}}`$**.
    I know $`\overline{SA_{obj}}$, $n_{ini}$ and $n_{fin}$, I have previously calculated $`\overline{SA_{ima}}$, so I can calculate $`\overline{M_T}`$ and deduced $`\overline{A_{ima}B_{ima}}`$
    ! *USEFUL* : The conjuction equation and the transverse magnification equation for a plane refracting surface are obtained by rewriting these equations for a spherical refracting surface in the limit when $`|\overline{SC}|\longrightarrow\infty`$.<br> Then we get *for a plane refracting surface :*
    !
    ! * *conjuction equation :*&nbsp;&nbsp; $`\dfrac{n_{fin}}{\overline{SA_{ima}}}-\dfrac{n_{ini}}{\overline{SA_{obj}}}=0`$.
    !
    ! * *transverse magnification equation :*&nbsp;&nbsp; $`\dfrac{n_{ini}\cdot\overline{SA_{ima}}}{n_{fin}\cdot\overline{SA_{obj}}}`$ &nbsp;&nbsp; (unchanged).
    !
    ! This generalizes and completes the knowledge you get about plane refracting surfaces seen in your pedagogical paths in plain and hills.
    #### Graphical study of the position and shape of an image.
    \ No newline at end of file
    03.spherical-refracting-surface/02.spherical-refracting-surface-overview/cheatsheet.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nuevo curso : síntesis'
    ---
    nuevo curso : síntesis
    \ No newline at end of file
    03.spherical-refracting-surface/02.spherical-refracting-surface-overview/cheatsheet.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Le dioptre sphérique, en approximation paraxiale : synthèse'
    media_order: 'dioptre1ok.png,dioptre2ok.png,dioptre3ok.png,dioptre4ok.png'
    ---
    Le dioptre sphérique, en approximation paraxiale
    ![](dioptre4ok.png)
    ![](dioptre3ok.png)
    ![](dioptre2ok.png)
    ![](dioptre1ok.png)
    \ No newline at end of file
    03.spherical-refracting-surface/03.spherical-refracting-surface-beyond/annex.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'new course : beyond'
    ---
    ! *YOUR CHALLENGE* : look at the picture, and think of the right answers to the following questions
    !
    ! _Do not look at the answer, take time to think, a few days if necessary. The time to build your mental representation of the phenomenon, to formulate it in words is important, a thousand times more important than the ephemeral instant where you read the fews words of the solution._
    !
    ! <details markdown=1>
    ! <summary>
    ! INDICE "key word"
    ! </summary>
    ! diffusion
    ! </details>
    ! <details markdown=1>
    ! <summary>
    ! ANSWER
    ! </summary>
    ! diffusion
    ! </details>
    !!!! *DIFFICULT POINT* (contribute, or indicate a difficult point of understanding)
    !!!!
    !! *BEYOND* (to contribute)
    !!
    !! *CULTURAL POINT* (contributor)
    !!
    !!! *DO YOU MASTER ?*
    !!! <details markdown=1>
    !!! <Summary>
    !!! Describe the test
    !!! </summary>
    !!! The text of the test (and its images, figures, audio, video, etc ...)
    !!!
    !!! Question text
    !!! <details markdown=1>
    !!! <summary>
    !!! Answer choice 1
    !!! </summary>
    !!! Text if this answer 1 is chosen
    !!! </details>
    !!! <details markdown=1>
    !!! <summary>
    !!! Answer choice 2
    !!! </summary>
    !!! Text if this answer 2 is chosen
    !!! </details>
    !!! <!--possibility to add answers, questions-->
    !!! -----
    !!! <details markdown=1>
    !!! <summary>
    !!! Complete solution.
    !!! </summary>
    !!! text of the solution
    !!! </details>
    03.spherical-refracting-surface/03.spherical-refracting-surface-beyond/annex.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nuevo curso: más allá'
    ---
    ! *TU DESAFÍO* : Mire la imagen y encuentre las respuestas correctas a las siguientes preguntas.
    !
    ! _No mire la respuesta, tómese el tiempo para pensar, unos días si es necesario. El momento de construir tu representación mental del fenómeno, de formular con palabras esta representación es importante, mil veces más importante que el momento efímero de leer las pocas palabras de la solución._
    !
    ! <details markdown=1>
    ! <summary>
    ! ÍNDICE "palabra clave"
    ! </summary>
    ! xxx
    ! </details>
    ! <details markdown=1>
    ! <summary>
    ! RESPUESTA
    ! </summary>
    ! xxx
    ! </details>
    !!!! *PUNTO DIFÍCIL* (contribuya o indique los puntos difíciles que deben tomarse nuevamente)
    !!!!
    !! *MÁS ALLÁ* (contribuir)
    !!
    !! *ESCAPE CULTURAL* (contribuir)
    !!
    !!! *MAÎTRISES-TU ?*
    !!! <details markdown = 1>
    !!! <summary>
    !!! Describe la prueba
    !!! </summary>
    !!! Texto de prueba (y sus imágenes, figuras, audio, video, etc ...)
    !!! ![una figura para la prueba] (nombre de archivo)
    !!!
    !!! Prueba la pregunta
    !!! <details markdown=1>
    !!! <summary>
    !!! Respuesta opción 1
    !!! </summary>
    !!! Texto si se elige la respuesta 1
    !!! </details>
    !!! <details markdown=1>
    !!! <summary>
    !!! Respuesta opción 2
    !!! </summary>
    !!! Texto si se elige la respuesta 2
    !!! </details>
    !!! <!--Posibilidad de añadir respuestas, preguntas-->
    !!! <details markdown=1>
    !!! <summary>
    !!! Solucion completa
    !!! </summary>
    !!! Texto de la solución.
    !!! </details>
    03.spherical-refracting-surface/03.spherical-refracting-surface-beyond/annex.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nouveau cours : au-delà'
    ---
    ! *TON DEFI* :
    !
    ! _Ne regarde pas la réponse, prends le temps de réfléchir, quelques jours si nécessaire. Le temps de construire ta représentation mentale du phénomène, de formuler en mots cette réflexion est important, un millier de fois plus important que l'instant éphémère de la lecture des quelques mots de la solution._
    !
    ! <details markdown=1>
    ! <summary>
    ! INDICE "mot clé"
    ! </summary>
    ! xxx
    ! </details>
    ! <details markdown=1>
    ! <summary>
    ! RÉPONSE
    ! </summary>
    ! xxx
    ! </details>
    !!!! *POINT DIFFICILE* (contribuer, ou indiquer les points difficiles qui méritent d'être repris)
    !!!!
    !! *AU-DELÀ* (contribuer)
    !!
    !! *ÉCHAPPÉE CULTURELLE* (contribuer)
    !!
    !!! *MAÎTRISES-TU ?*
    !!! <details markdown = 1>
    !!! <summary>
    !!! Descrire le test
    !!! </summary>
    !!! Texte du test (et ses images, figures, audio, video, etc ...)
    !!! ! [a figure for the test] (file-name)
    !!!
    !!! Texte de la question
    !!! <details markdown=1>
    !!! <summary>
    !!! Choix de réponse 1
    !!! </summary>
    !!! Texte si la réponse 1 est choisie
    !!! </details>
    !!! <details markdown=1>
    !!! <summary>
    !!! Choix de réponse 2
    !!! </summary>
    !!! Texte si la réponse 2 est choisie
    !!! </details>
    !!! <!--possibility to add answers, questions-->
    !!! -----
    !!! <details markdown=1>
    !!! <summary>
    !!! Solution complète
    !!! </summary>
    !!! Texte de la solution
    !!! </details>
    03.spherical-refracting-surface/04.spherical-refracting-surface-parallel-1/default.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Spherical mirror (parallel 1)'
    content:
    items: '- ''@self.children'''
    order:
    by: date
    dir: desc
    limit: '5'
    pagination: '1'
    url_taxonomy_filters: '1'
    hero_classes: ''
    hero_image: ''
    ---
    new course : parallel 1
    #####for parallel or other level course :
    It will be possible to redirect towards an other page in the m3p2 cursus.
    Or to write here some paragraphes separated by html from an other pages, I think.
    Or write here a completely new parallel course
    For the moment, please wait.
    Ya es possible hacer
    I can here :
    - write a full "parallel 1 course" if required
    - or add add a few word about a "course parallel 1" that is written somewhere in "pages/curriculum/..."
    - or do nothing.
    Go
    [there](http://localhost:8000/en/m3p2-curriculum/physics-chemistry-biology/niv3/Geometrical-optics/geometrical-optics-general/geometrical-optics-validity/geometrical-optics-domain-of-validity-overview)
    [Current chapter](.)
    [Parent chapter](..)
    [Sibling chapter](../another-chapter)
    [Child chapter](chapter)
    [Anchor in the page](#slug-of-header)
    <details markdown=1>
    <summary>
    TOWARDS parallel 1, if their are several
    </summary>
    This is a text
    ```math
    f\colon\left\{\begin{aligned}\mathbb{R}_4[X]&\longrightarrow\mathbb{R}_4[X] \\
    P&\longmapsto P’\end{aligned}\right.
    \qquad
    g\colon\left\{\begin{aligned}\mathbb{R}_2[X]&\longrightarrow\mathbb{R}_2[X] \\
    P&\longmapsto XP’+P\end{aligned}\right.
    ```
    </details>
    03.spherical-refracting-surface/04.spherical-refracting-surface-parallel-1/default.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nuevo curso : paralelo 1'
    hero_classes: ''
    hero_image: ''
    content:
    items: '- ''@self.children'''
    limit: '5'
    order:
    by: date
    dir: desc
    pagination: '1'
    url_taxonomy_filters: '1'
    ---
    nuevo curso : paralelo 1
    ##### para un curso paralelo o de otro nivel:
    Será (ya es) posible redirigir hacia otra página en el cursus m3p2.
    O escribir aquí algunos párrafos separados por html de otras páginas, creo.
    Tambien podemos aquí escribir un curso paralelo o de otro nivel completamente nuevo
    *Por el momento, por favor espere*
    \ No newline at end of file
    03.spherical-refracting-surface/04.spherical-refracting-surface-parallel-1/default.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nouveau cours : parallèle 1'
    hero_classes: ''
    hero_image: ''
    content:
    items: '- ''@self.children'''
    limit: '5'
    order:
    by: date
    dir: desc
    pagination: '1'
    url_taxonomy_filters: '1'
    ---
    nouveau cours : parallèle 1
    ##### pour un cours parallèle ou d'un autre niveau
    Il sera posible (cela l'est déjà) de rediriger automatiquement vers une autre page dans le cursus m3p2.
    Ou d'écrire quelques paragraphes avec entre du html emprunter à d'autres pages je pense.
    On peut toujours aussi écrire ici un cours parallèle ou d'un autre niveau complétement nouveau
    *Pour le moment,, attendre, SVP*
    \ No newline at end of file
    03.spherical-refracting-surface/05.spherical-refracting-surface-parallel-2/form.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Thin lens (parallel 2)'
    ---
    new course : parallel 2
    #####for parallel or other level course :
    It will be possible to redirect towards an other page in the m3p2 cursus.
    Or to write here some paragraphes separated by html from an other pages, I think.
    Or write here a completely new parallel course
    For the moment, please wait.
    \ No newline at end of file
    03.spherical-refracting-surface/05.spherical-refracting-surface-parallel-2/form.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nuevo curso : paralelo 2'
    ---
    nuevo curso : paralelo 2
    ##### para un curso paralelo o de otro nivel:
    Será (ya es) posible redirigir hacia otra página en el cursus m3p2.
    O escribir aquí algunos párrafos separados por html de otras páginas, creo.
    Tambien podemos aquí escribir un curso paralelo o de otro nivel completamente nuevo
    *Por el momento, por favor espere*
    \ No newline at end of file
    03.spherical-refracting-surface/05.spherical-refracting-surface-parallel-2/form.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'nouveau cours : parallèle 2'
    ---
    nouveau cours : parallèle 2
    ##### pour un cours parallèle ou d'un autre niveau
    Il sera posible (cela l'est déjà) de rediriger automatiquement vers une autre page dans le cursus m3p2.
    Ou d'écrire quelques paragraphes avec entre du html emprunter à d'autres pages je pense.
    On peut toujours aussi écrire ici un cours parallèle ou d'un autre niveau complétement nouveau
    *Pour le moment,, attendre, SVP*
    \ No newline at end of file
    03.spherical-refracting-surface/06.spherical-refracting-surface-level-down/page.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Plane refracting surface (previous level)'
    ---
    course : level-1
    - or level+1 if current level = 1
    - or level-2 if current level = 4
    #####for parallel or other level course :
    It will be possible to redirect towards an other page in the m3p2 cursus.
    Or to write here some paragraphes separated by html from an other pages, I think.
    Or write here a completely new parallel course
    For the moment, please wait.
    \ No newline at end of file
    03.spherical-refracting-surface/06.spherical-refracting-surface-level-down/page.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'curso : nivel-1'
    ---
    curso : nivel-1
    - or level+1 if current level = 1
    - or level-2 if current level = 4
    ##### para un curso paralelo o de otro nivel:
    Será (ya es) posible redirigir hacia otra página en el cursus m3p2.
    O escribir aquí algunos párrafos separados por html de otras páginas, creo.
    Tambien podemos aquí escribir un curso paralelo o de otro nivel completamente nuevo
    *Por el momento, por favor espere*
    \ No newline at end of file
    03.spherical-refracting-surface/06.spherical-refracting-surface-level-down/page.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'cours : niveau-1'
    ---
    cours : niveau-1
    - or level+1 if current level = 1
    - or level-2 if current level = 4
    ##### pour un cours parallèle ou d'un autre niveau
    Il sera posible (cela l'est déjà) de rediriger automatiquement vers une autre page dans le cursus m3p2.
    Ou d'écrire quelques paragraphes avec entre du html emprunter à d'autres pages je pense.
    On peut toujours aussi écrire ici un cours parallèle ou d'un autre niveau complétement nouveau
    *Pour le moment,, attendre, SVP*
    \ No newline at end of file
    03.spherical-refracting-surface/07.spherical-refracting-surface-level-up/portal.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Refraction matrix (next level)'
    hero_classes: ''
    hero_image: ''
    ---
    course : level+1
    or level+2 if current level=1
    or level-1 if current level=4
    #####for parallel or other level course :
    It will be possible to redirect towards an other page in the m3p2 cursus.
    Or to write here some paragraphes separated by html from an other pages, I think.
    Or write here a completely new parallel course
    For the moment, please wait.
    \ No newline at end of file
    03.spherical-refracting-surface/07.spherical-refracting-surface-level-up/portal.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'curso : nivel+1'
    ---
    curso : nivel+1
    or level+2 if current level=1
    or level-1 if current level=4
    ##### para un curso paralelo o de otro nivel:
    Será (ya es) posible redirigir hacia otra página en el cursus m3p2.
    O escribir aquí algunos párrafos separados por html de otras páginas, creo.
    Tambien podemos aquí escribir un curso paralelo o de otro nivel completamente nuevo
    *Por el momento, por favor espere*
    \ No newline at end of file
    03.spherical-refracting-surface/07.spherical-refracting-surface-level-up/portal.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'cours : niveau+1'
    ---
    cours : niveau+1
    or level+2 if current level=1
    or level-1 if current level=4
    ##### pour un cours parallèle ou d'un autre niveau
    Il sera posible (cela l'est déjà) de rediriger automatiquement vers une autre page dans le cursus m3p2.
    Ou d'écrire quelques paragraphes avec entre du html emprunter à d'autres pages je pense.
    On peut toujours aussi écrire ici un cours parallèle ou d'un autre niveau complétement nouveau
    *Pour le moment,, attendre, SVP*
    \ No newline at end of file
    03.spherical-refracting-surface/topic.en.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Spherical refracting surface '
    ---
    03.spherical-refracting-surface/topic.es.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Le dioptre '
    ---
    Dioptre sphérique,
    Dioptre plan
    \ No newline at end of file
    03.spherical-refracting-surface/topic.fr.md deleted 100644 → 0
    View file @ d408ae50
    ---
    title: 'Le dioptre '
    ---
    Dioptre sphérique,
    Dioptre plan
    \ No newline at end of file
    Markdown is supported
    0% or
    You are about to add 0 people to the discussion. Proceed with caution.
    Finish editing this message first!
    Please register or to comment