|
|
@ -244,7 +244,7 @@ $`dx`$, $`dy`$ y $`dz`$, et il s'écrit :<br> |
|
|
in cartesian coordinates is the displacement vector from point $`M(x,y,z)`$ to point |
|
|
in cartesian coordinates is the displacement vector from point $`M(x,y,z)`$ to point |
|
|
$`M'(x+dx,y+dy,z+dz)`$ when the coordinates vary infinitely in quantities $`dx`$, $`dy`$ y $`dz`$, |
|
|
$`M'(x+dx,y+dy,z+dz)`$ when the coordinates vary infinitely in quantities $`dx`$, $`dy`$ y $`dz`$, |
|
|
and it writes :<br> |
|
|
and it writes :<br> |
|
|
<br>$`=\overrightarrow{MM'}=d\overrightarrow{OM}=\overrightarrow{dr}=\overrightarrow{dl}`$ |
|
|
|
|
|
|
|
|
<br>$`\overrightarrow{MM'}=d\overrightarrow{OM}=\overrightarrow{dr}=\overrightarrow{dl}`$ |
|
|
$`=\partial\overrightarrow{OM}_x+\partial\overrightarrow{OM}_y+\partial\overrightarrow{OM}_z`$ |
|
|
$`=\partial\overrightarrow{OM}_x+\partial\overrightarrow{OM}_y+\partial\overrightarrow{OM}_z`$ |
|
|
$`=\overrightarrow{dl_x}+\overrightarrow{dl_y}+\overrightarrow{dl_z}`$ |
|
|
$`=\overrightarrow{dl_x}+\overrightarrow{dl_y}+\overrightarrow{dl_z}`$ |
|
|
$`=l_x\;\overrightarrow{e_x}+l_y\;\overrightarrow{e_y}+l_z\;\overrightarrow{e_z}`$ |
|
|
$`=l_x\;\overrightarrow{e_x}+l_y\;\overrightarrow{e_y}+l_z\;\overrightarrow{e_z}`$ |
|
|
|