actually, 3rd grade was division, not trig and analytic geometry
as I already mentioned on this thread, documented large arbor reels go back to wooden Scarborough reels in the 1840s, and of course the principal was applied on naval capstans two millennia before - in fact, Archimedes was the trig and analytic geometry guy. The people-believed-flat-earth people are way off base, not only did all civilization know the earth was round, and stated in the book of Job (6th century BC), Eratosthenes calculated the earth's diameter in 240 BC (so every place the Romans conquered knew this fact) - all he needed was two towers of known height with a known north-south separation distance, and measure the declination angles in their shadows - especially any sailor knew this fact from watching for enemy boats on the horizon.
probably the first large arbor that counts as a fly reel is JW Young Simplex, 1895
Note it was also centerpin design, same as contemporary fly reels.
(The conventional-frame Duplex salmon reel of 1893 may have had a large arbor, but no photo shows it.)
right behind it, JW Young made the Coxon Aerial, 1896, which this final Young reel was styled to commemorate - and they look strikingly the same
Even the arbor here is made to evoke the spokes used for the arbor on the Coxon Aerial.
interesting, Reuben Heaton had the spoked arbor and ventilated side plate patent in 1888.
since they did so much business with S. Allcock Co. as well, maybe they let it slide