I'm with Old Smokey on this one! The great circle line between A and C remains ...... a great circle! You can have a multitude of abeams wherever you like - it isn't going to change the track of A to C.
(An' anyway, Ol' Smokey knows his onions like you would not believe! That is deep dark water, arguing the toss with Ol' Smokey! He will done wup yo' ass!)
