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Commit 60a48b99 authored by Maciej Topyla's avatar Maciej Topyla
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another break line fix

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1 merge request!14First major update of src/2_coordinates.md
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...@@ -358,22 +358,22 @@ We have discussed four different coordinate systems: ...@@ -358,22 +358,22 @@ We have discussed four different coordinate systems:
2. !!! tip "Polar coordinates" 2. !!! tip "Polar coordinates"
$${\bf r} = (r, \phi).$$ This system can be used in two $${\bf r} = (r, \phi).$$ This system can be used in two
dimensions. It is particularly suitable for systems with circular symmetry or functions dimensions. It is particularly suitable for systems with circular symmetry or functions
given in terms of these coordinates. \\ given in terms of these coordinates. <br/>
Infinitesimal distance: $$ds^2 = dr^2 + r^2 d\phi^2.$$ Infinitesimal distance: $$ds^2 = dr^2 + r^2 d\phi^2.$$
Infinitesimal area: $$dA = r dr d\varphi.$$ Infinitesimal area: $$dA = r dr d\varphi.$$
3. !!! tip "Cylindrical coordinates" 3. !!! tip "Cylindrical coordinates"
$${\bf r} = (r, \phi, z).$$ This system can be $${\bf r} = (r, \phi, z).$$ This system can be
used in three dimensions. It is particularly suitable for systems with axial symmetry used in three dimensions. It is particularly suitable for systems with axial symmetry
or functions given in terms of these coordinates. or functions given in terms of these coordinates. <br/>
Infinitesimal distance: $$ds^2 = dr^2 + r^2 d\phi^2 + dz^2.$$ Infinitesimal distance: $$ds^2 = dr^2 + r^2 d\phi^2 + dz^2.$$
Infinitesimal volume:: $$dV = r dr d\varphi dz.$$ Infinitesimal volume: $$dV = r dr d\varphi dz.$$
4. !!! tip "Spherical coordinates" 4. !!! tip "Spherical coordinates"
$${\bf r} = (r, \theta, \phi).$$ This sysytem can be $${\bf r} = (r, \theta, \phi).$$ This sysytem can be
used in three dimensions. It is particularly suitable for systems with spherical used in three dimensions. It is particularly suitable for systems with spherical
symmetry or functions given in terms of these coordinates. symmetry or functions given in terms of these coordinates.
Infinitesimal distance: Infinitesimal distance: <br/>
$$ds^2 =r^2 (\sin^2 \theta d\phi^2 + d\theta^2) + dr^2 .$$ $$ds^2 =r^2 (\sin^2 \theta d\phi^2 + d\theta^2) + dr^2 .$$
Infinitesimal volume: Infinitesimal volume:
$$dV = r^2 \sin(\theta) dr d\theta d\varphi.$$ $$dV = r^2 \sin(\theta) dr d\theta d\varphi.$$
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