A method for the determination of the radii of curvature of any positive single lens of weak curvature is described. It consists of applying the Foucault knife-edge method to the lens considered as a lens–mirror, measuring the distances between the lens and the knife edge for each surface facing the knife edge together with thickness of the lens, and calculating the radii of curvature by formulas derived from paraxial equations. The refractive index of the glass is required. In an example the maximum error in a radius of curvature of approximately 4.5 meters is shown to be 1 mm, if the accuracies in the measurement of the distances, the thickness of the lens, and the refractive index are ±0.1 mm, ±0.01 mm, and ±0.00001 mm, respectively.
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