Theory and optical schemes of levels with mirror compensators potentially not limited by tilt angles
© Lensky O.V.
The paper proves the following theorem: If A, B and L are three arbitrary points on a circle and P is a fourth point on the circle equidistant from A and B, line segment PL is the trace of a plane mirror for which AL and BL are incident and reflected rays. The design of the optical systems of leveling instruments with self  adjusting lines of sight is analyzed in terms of this theorem; the systems have pendulum  mirror tilt compensators that operate in the convergent beams behind the objective.
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