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Commit 5bd92335 authored by Claude Meny's avatar Claude Meny
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Update annex.fr.md

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    00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.fr.md
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    ...@@ -183,7 +183,8 @@ Sont proposées les catégories suivantes, mais à débattre, toutes les idées ...@@ -183,7 +183,8 @@ Sont proposées les catégories suivantes, mais à débattre, toutes les idées
    ! * The first spherical refracting surface $`DS1`$ encountered by the light has ! * The first spherical refracting surface $`DS1`$ encountered by the light has
    ! the follwing characteristics :<br> ! the follwing characteristics :<br>
    ! $`\overline{S_1C_1}=+|R|=+5\;cm`$ , $`n_{ini}=1`$ and $`n_{fin}=1.5`$ ! $`\overline{S_1C_1}=+|R|=+5\;cm`$ , $`n_{ini}=1`$ and $`n_{fin}=1.5`$
    ! * The second spherical refracting surface $DS2$ encountered by the light has the follwing characteristics :<br> ! * The second spherical refracting surface $DS2$ encountered by the light
    ! has the follwing characteristics :<br>
    ! $`\overline{S_2C_2}=-|R|=-5\;cm`$ , $`n_{ini}=1.5`$ and $`n_{fin}=1`$ ! $`\overline{S_2C_2}=-|R|=-5\;cm`$ , $`n_{ini}=1.5`$ and $`n_{fin}=1`$
    ! !
    ! * Algebraic distance between $DS1$ and $DS2$ is : $`\overline{S_1S_2}=+10\;cm`$ ! * Algebraic distance between $DS1$ and $DS2$ is : $`\overline{S_1S_2}=+10\;cm`$
    ...@@ -451,25 +452,25 @@ Sont proposées les catégories suivantes, mais à débattre, toutes les idées ...@@ -451,25 +452,25 @@ Sont proposées les catégories suivantes, mais à débattre, toutes les idées
    !<summary> !<summary>
    ! What is the apparent magnification of the cathedral ? ! What is the apparent magnification of the cathedral ?
    !</summary> !</summary>
    ! ! <br>
    ! * "apparent magnification" = "angular magnification" = "magnifying power". ! * "apparent magnification" = "angular magnification" = "magnifying power".
    ! !
    ! * As calculated previously, standing 400 metres from the cathedral, the 90 m heigh ! * As calculated previously, standing 400 metres from the cathedral, the 90 m heigh
    ! cathedral sustends the apparent angles of $`\alpha=arctan\left(\dfrac{90}{400}\right)=0.221\;rad=12.7°`$ ! cathedral sustends the apparent angles of $`\alpha=arctan\left(\dfrac{90}{400}\right)=0.221\;rad=12.7°`$
    ! at your eye. ! at your eye.
    ! ! <br>
    ! * The image of the cathedral is 1.7 cm heigth and is located between the lens ! * The image of the cathedral is 1.7 cm heigth and is located between the lens
    ! (from its vertex $`S2`$) and your eyes and at 2.5cm from the lens. If your eye is ! (from its vertex $`S2`$) and your eyes and at 2.5cm from the lens. If your eye is
    ! 20cm away from the lens, so the distance eye-image is 17.5 cm (we use no algebraic values). ! 20cm away from the lens, so the distance eye-image is 17.5 cm (we use no algebraic values).
    ! Thus the image of the catedral subtends the apparent angle ! Thus the image of the catedral subtends the apparent angle
    ! $`\alpha'=arctan\left(\dfrac{1.7}{17.5}\right)=0.097\;rad=5.6°`$ at your eye. ! $`\alpha'=arctan\left(\dfrac{1.7}{17.5}\right)=0.097\;rad=5.6°`$ at your eye.
    ! ! <br>
    ! * The apparent magnification $`M_A`$ of the cathedral throught the lensball for my ! * The apparent magnification $`M_A`$ of the cathedral throught the lensball for my
    ! eye in that position is<br> ! eye in that position is<br>
    ! $`M_A=\dfrac{\alpha'}{\alpha}=\dfrac{0.097}{0.221}=0.44`$.<br><br> ! $`M_A=\dfrac{\alpha'}{\alpha}=\dfrac{0.097}{0.221}=0.44`$.<br><br>
    ! Taking into account that the image is reversed, the algebraic value of the apparent ! Taking into account that the image is reversed, the algebraic value of the apparent
    ! magnification is $`\overline{M_A}=-0.44`$. ! magnification is $`\overline{M_A}=-0.44`$.
    ! ! <br>
    ! * You could obtained directly this algebraic value of $`M_A`$ by considering algebraic ! * You could obtained directly this algebraic value of $`M_A`$ by considering algebraic
    ! lengthes and angles values in the calculations :<br><br> ! lengthes and angles values in the calculations :<br><br>
    ! $`\overline{M_A}=\dfrac{\overline{\alpha'}}{\overline{\alpha}}`$ ! $`\overline{M_A}=\dfrac{\overline{\alpha'}}{\overline{\alpha}}`$
    ......
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