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@gbj_tester
The Jobst Brandt book lays out the trigonometry in detail, get yourself a copy if you haven't already. I worked from that before we had home computers, although I may have had trig functions on my calculator. Since Jobst is long since dead, you don't need to feel bad about getting a pirate PDF rather than paying for a physical book
https://www.google.com/search?q=Jobst+Brandt+The+bicycle+wheel+pdf