G0MJW Yes, the same goniometry / math is also valid for offset dishes. An offset dish is nothing else than a prime focus dish but then another part of the parabola. The higher you get into the parabola, the larger the f/D. Although the illumination may look optically 'squint', the effective surface of an offset dish is equal to a 'prime focus dish' with the diameter of the width of the offset dish, see below.
Yes, I know this for a long time since I first came across the concept in the 1980s. What I don't know is if the curvature calculation still holds when working out the angle - I could work it out but... in my dish the curvature it rather shallow so it matters not.