moreover, therefore, substituting into the equation for dθ'/dK, one obtains: Equation (4) states that dθ'/dK and Q differ in sign. Therefore, for a small increment K > 0, line R is deviated clockwise (dθ' < 0) for Q > 0 and counterclockwise ( θ' > 0) if Q < 0, with exactly the reverse situation if K < 0. Since R is parallel to I for K = 0. the truth of the proposition immediately follows. References 1. R. K. Luneberg, Mathematical Theory of Optics (Brown University, Providence, Rhode Island, 1944), pp. 301-303. 2. T. Smith, Trans. Opt. Soc. (London) 23, 217 (1921-22). 3. T. Smith, Dictionary of Applied Physics, IV (Peter Smith, New York, 1950), pp. 357-359. 1256 APPLIED OPTICS / Vol. 2, No. 12 / December 1963

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moreover,

therefore, substituting into the equation for dθ'/dK, one obtains:

Equation (4) states that dθ'/dK and Q differ in sign. Therefore, for a small increment K > 0, line R is

deviated clockwise (dθ' < 0) for Q > 0 and counterclockwise ( θ' > 0) if Q < 0, with exactly the reverse situation if K < 0. Since R is parallel to I for K = 0. the truth of the proposition immediately follows.

References 1. R. K. Luneberg, Mathematical Theory of Optics (Brown

University, Providence, Rhode Island, 1944), pp. 301-303. 2. T. Smith, Trans. Opt. Soc. (London) 23, 217 (1921-22). 3. T. Smith, Dictionary of Applied Physics, IV (Peter Smith,

New York, 1950), pp. 357-359.

1256 APPLIED OPTICS / Vol. 2, No. 12 / December 1963