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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Clairaut''s relation, named after Alexis Claude de Clairault, is a formula in classical differential geometry. The formula relates the distance r(t) from a point on a great circle of the unit sphere to the z-axis, and the angle (t) between the tangent vector and the latitudinal circle. The relation remains valid for a geodesic on an arbitrary surface of revolution.