Planar Space

Let be a locally Euclidean coordinate system. Then

(1)

Now plug in

(2)

(3)

to obtain

(4)

Reading off the coefficients from

(5)

gives

			(6)
			(7)
			(8)

Making a change of coordinates gives

			(9)
			(10)
			(11)
			(12)
			(13)
			(14)