# Derivation of Jacobian

#### amcavoy

Does anyone know a site that shows how the Jacobian was derived?

I know that if you have two planes P1 and P2, and P1 is projected onto P2, then:

$$\operatorname{area} P_{1}\cos{\theta}=\operatorname{area} P_{2}$$

Then replace area of P2 with dxdy and area of P1 with dudv, but cannot figure out how to get the cosine of the angle between the planes to become equal to the determinant of the Jacobian matrix (or even how to get that matrix).

Any help would be appreciated.

Thanks.

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