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===Derivation===
We may assume, without loss of generality, that in a [[Cartesian coordinate system]] the perpendicular distance between the axes lies along the ''x''-axis and that the center of mass lies at the origin. The moment of inertia relative to the ''z''-axis is then
:<math>I_\mathrm{cm} = \int (x^2 + y^2) \, dm.</math>
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