Richardson's handbook of projection (1930)

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MANAGERS AND PROJECTIONISTS 1233 AC BD 2 (cos 6 cos — — h sin 0 sin — ) oc . . oc 2 (cos 0 cos — sin 0 sin — ) oc cos 0 cos2 — cos2 0 cos2 — sin2 0 sin2 — Inverting and simplifying BD n sin2 0 , a: —r-^r = cos 0 — tan2 — AC cos 0 2 Now the maximum permissible amount of distortion is a matter on which there seems to be considerable range of opinion. Your committee feels that in recommending 5 per cent at the maximum permissible increase in picture height it is erring on the side of laxity rather than rigidity, and is particularly anxious to hear discussion of this matter by the Society. Proceeding for the moment on the basis of 5 per cent : sin2 6 oc cos 6 tan2 — = 0.9524 cos 6 2 and cos2 6 — sin2 6 tan2— = 0.9524 cos 6 cos2 0 tan2^* + cos2 6 tan2-^ = 0.9524 cos d sec2 -^cos2 6 0.9524 cos $ tan2-^ =0 This puts the equation in the quadratic form, and the solution for cosine 0 is of course cos 6 0.9524 ± xj 0.95242 + 4 sec2 — tan2— 2 sec2 —