Wikipedia gives the relationship between a cartesian and curvlinear coordinate system as(adsbygoogle = window.adsbygoogle || []).push({});

gi=(partial)x1/(partial)zi +(partial)x2/(partial)zi

http://en.wikipedia.org/wiki/Curvilinear_coordinates

Where gi is the i'th basis in the curvlinear coordinate system, x1 and x2 are the cartesian coordinates, zi, is the i'th curvlinear coordinate. Taking i as 1 or 2 in the two dimensional case.

I am having trouble deriving a proof for why this is true. Despite being a first year mathematics student i still feel that this is something within my grasp (I am currently studying vector calculus). Could someone please provide me with some geometric intuition for this identity?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Question about relating basis of curvilinear coordinate systems.

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**