Polar coordinates: Difference between revisions

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|Meaning=#In the plane, a system of [[curvilinear coordinates]] in which a point is located  by its distance ''r'' from the origin (or pole) and by the angle &#x003b8; which a line joining the given point  and the origin makes with a fixed reference line, called the polar axis.
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|Explanation=The relations between [[rectangular Cartesian coordinates]] and polar coordinates are  <blockquote>[[File:ams2001glos-Pe25.gif|link=|center|ams2001glos-Pe25]]</blockquote> where the origins of the two systems coincide and the polar axis coincides with the ''x'' axis.<br/>  
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#In space, <br/>''same as'' [[spherical coordinates]].<br/> <br/>''See also'' [[cylindrical coordinates]].
== polar coordinates ==
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#<div class="definition"><div class="short_definition">In the plane, a system of [[curvilinear coordinates]] in which a point is located  by its distance ''r'' from the origin (or pole) and by the angle &#x003b8; which a line joining the given point  and the origin makes with a fixed reference line, called the polar axis.</div><br/> <div class="paragraph">The relations between [[rectangular Cartesian coordinates]] and polar coordinates are  <div class="display-formula"><blockquote>[[File:ams2001glos-Pe25.gif|link=|center|ams2001glos-Pe25]]</blockquote></div> where the origins of the two systems coincide and the polar axis coincides with the ''x'' axis.</div><br/> </div>
#<div class="definition"><div class="short_definition">In space, <br/>''same as'' [[spherical coordinates]].</div><br/> <div class="paragraph"><br/>''See also'' [[cylindrical coordinates]].</div><br/> </div>
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Latest revision as of 04:48, 29 March 2024

  1. In the plane, a system of curvilinear coordinates in which a point is located by its distance r from the origin (or pole) and by the angle θ which a line joining the given point and the origin makes with a fixed reference line, called the polar axis.
The relations between rectangular Cartesian coordinates and polar coordinates are
ams2001glos-Pe25
where the origins of the two systems coincide and the polar axis coincides with the x axis.
  1. In space,
    same as spherical coordinates.

    See also cylindrical coordinates.
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