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M3P2
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b39252bb
Commit
b39252bb
authored
Aug 28, 2020
by
Claude Meny
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00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md
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b39252bb
...
@@ -89,21 +89,21 @@ $`dl=\sqrt{dx^2+dy^2+dz^2}`$
...
@@ -89,21 +89,21 @@ $`dl=\sqrt{dx^2+dy^2+dz^2}`$
*
Las coordenadas cartesianas se escriben / les coordonnées cartésiennes s'écrivent / The artesian coordinates write :
<br>
*
Las coordenadas cartesianas se escriben / les coordonnées cartésiennes s'écrivent / The artesian coordinates write :
<br>
$
`(\rho, \phi, z)`
$,
<br>
$
`(\rho, \
var
phi, z)`
$,
<br>
con / avec /with :
con / avec /with :
$
`\rho\in [0;\infty[`
$, $
`\phi\in [0;2\pi[`
$ et $
`z \in [-\infty;\infty[`
$.
<br>
$
`\rho\in [0;\infty[`
$, $
`\
var
phi\in [0;2\pi[`
$ et $
`z \in [-\infty;\infty[`
$.
<br>
Coordenadas cartesianas de un punto $
`M`
$ /coordonnées cartésiennes d'un point $
`M`
$ / Cartesian coordinates of a point $
`M`
$ :
<br>
Coordenadas cartesianas de un punto $
`M`
$ /coordonnées cartésiennes d'un point $
`M`
$ / Cartesian coordinates of a point $
`M`
$ :
<br>
$
`(\rho_M, \phi_M, z_M)`
$,
<br>
.
<br>
$
`(\rho_M, \
var
phi_M, z_M)`
$,
<br>
.
<br>
Escribimos / on écrit / we write :
<br>
Escribimos / on écrit / we write :
<br>
$
`M(\rho_M, \phi_M, z_M)`
$
$
`M(\rho_M, \
var
phi_M, z_M)`
$
Si el punto es cualquier punto, simplificamos / Si le point est un point quelconque, on simplifie / If the point is any point, we simplify ;
<br>
Si el punto es cualquier punto, simplificamos / Si le point est un point quelconque, on simplifie / If the point is any point, we simplify ;
<br>
$
`M(\rho, \phi, z)`
$.
$
`M(\rho, \
var
phi, z)`
$.
[
ES
]
elemento escalar de línea :
<br>
[
ES
]
elemento escalar de línea :
<br>
[
FR
]
élément de longueur :
<br>
[
FR
]
élément de longueur :
<br>
[
EN
]
scalar line element :
<br>
[
EN
]
scalar line element :
<br>
$
`dl=\sqrt{d\rho^2+ (\rho\,d\phi)^2+dz^2}`
$
$
`dl=\sqrt{d\rho^2+ (\rho\,d\
var
phi)^2+dz^2}`
$
...
@@ -112,12 +112,12 @@ $`dl=\sqrt{d\rho^2+ (\rho\,d\phi)^2+dz^2}`$
...
@@ -112,12 +112,12 @@ $`dl=\sqrt{d\rho^2+ (\rho\,d\phi)^2+dz^2}`$
### Coordonnées sphériques (N3-N4)
### Coordonnées sphériques (N3-N4)
$
`M=M(\rho, \theta, \phi)`
$
$
`M=M(\rho, \theta, \
var
phi)`
$
[
ES
]
elemento escalar de línea :
<br>
[
ES
]
elemento escalar de línea :
<br>
[
FR
]
élément de longueur :
<br>
[
FR
]
élément de longueur :
<br>
[
EN
]
scalar line element :
<br>
[
EN
]
scalar line element :
<br>
$
`dl=\sqrt{dr^2+(r\,d\theta)^2+(r\,sin\theta\,d\phi)^2}`
$
$
`dl=\sqrt{dr^2+(r\,d\theta)^2+(r\,sin\theta\,d\
var
phi)^2}`
$
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