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Coordinate system
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===Cylindrical and spherical coordinate systems=== {{Main|Cylindrical coordinate system|Spherical coordinate system}} [[File:Cylindrical Coordinates.svg|thumb|Cylindrical coordinate system]] There are two common methods for extending the polar coordinate system to three dimensions. In the '''cylindrical coordinate system''', a ''z''-coordinate with the same meaning as in Cartesian coordinates is added to the ''r'' and ''θ'' polar coordinates giving a triple (''r'', ''θ'', ''z'').<ref>{{cite book |last1=Margenau |first1=Henry |author-link1=Henry Margenau |last2=Murphy |first2=George M. |year=1956 |title=The Mathematics of Physics and Chemistry |url=https://archive.org/details/mathematicsofphy0002marg |url-access=registration |publisher=D. van Nostrand |location=New York City |page=[https://archive.org/details/mathematicsofphy0002marg/page/178 178] |lccn=55010911|oclc=3017486}}</ref> Spherical coordinates take this a step further by converting the pair of cylindrical coordinates (''r'', ''z'') to polar coordinates (''ρ'', ''φ'') giving a triple (''ρ'', ''θ'', ''φ'').<ref>{{cite book |author-link1= Philip M. Morse |last1=Morse |first1=PM |author-link2=Herman Feshbach |last2=Feshbach |first2=H |year= 1953 |title= Methods of Theoretical Physics, Part I |publisher= McGraw-Hill |location= New York |page= 658 |lccn= 52011515}}</ref>
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