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Hi. The discussion of three-dimensional extensions of parabolic coordinates mentions two different possible extensions at the start, one being parabolic cylinderical coordinates. However, the second generalization (presumably, something like spherical coordinates) seems to be missing. Perhaps it was in an early version of the page and has been lost? Or perhaps it is still there and just not clearly separated from the other system? —Preceding unsigned comment added by 146.186.131.40 ( talk) 20:14, 22 April 2010 (UTC) The vetor operators curl grad and divergence in terms of this coordinate system has not been given this seems to be a inconvenience for the user of this article 202.142.114.194 ( talk) 05:55, 19 August 2013 (UTC)
Could someone produce a diagram to show the concept of parabolic coordinates, ala the diagrams at Coordinates (elementary mathematics)? It would go a long way towards helping "visual learners" understand this. -- Jacius 17:00, 30 Apr 2005 (UTC)
Hello. Can someone please update the reference section to include more recent literature on the subject. Currently all the references are from 1961 and the article quotes application in e.g the Stark Effect - though the Stark Effect article says nothing about parabolic coordinates... Some basic applications\examples and external links would also be appreciated. Thank you. (Sorry, I just can't glean from the article when one would want to consider using parabolic coordinates) Scribblesinmindscapes 20:49, 16 February 2007 (UTC)
I would loke to make your concept on the question clear on the point of where these coordinate system can be used.. Actually a coordinate system is so devised such as to keep the number of variables in the differential equation of an algebraic equation as minimum as possible for example in the cartesian coordinate system of two dimensions a circle is represented by the equation x^2 + y^2 = a the diferential equation corresponding this circle is 2x + 2y dy/dx = 0 here we get two variables but in case of plane polar coordinates the circle is represented by r^2 sin^2 θ + r^2 cos^2 θ= a the differential equation corresponding this is only with a single variable dθ so the equation becomes simpler in the polar ccordinate system than in the cartesian plane. so when you are given the shape like a donut then you cannot use the polar cartesian or the cylindrical system then you need to use the cylindrical parabolic coordinate system to evaluate the area volume and surface area of the donut shape here lies the significance of the parabolic cordinate system 202.142.114.194 ( talk) 06:22, 19 August 2013 (UTC)