Rolf,
The short answer is - I didn't. I'm an engineer, been one for over 40 years. Engineers calculate stuff. I assumed that the barrels were perfectly straight and shot lazar beams concentric with the bore, and ran the calculations for how far off the point of impact would be if the two barrels were 1/32" off from the same point of aim. At 20 yards the answer was about 4" (10 cm). So a 24 inch (61 cm) diameter pattern would be 4" (10 cm) off at 20 yards (18 m). I would never notice that! I'm NOT that good a shot!
The real challenge in regulation is that a side-by-side double gun ALWAYS shoots a diverging pattern, the right barrel shoots to the right and the left barrel shoots to the left, because the center of the recoil force for each barrel is NOT co-planar with the center of resistance force through the butt. When one resolves the force vectors for the double gun one sees that they ALWAYS will shoot a divergent pattern and the barrels have to be "toed-in" to compensate. The big question is how much compensation does one need?
The amount of compensation depends upon a long list of variables like weight of gun, weight of shot, weight of powder charge, length of barrels, length of butt stock, distance between barrels, weight of the shooter and probably some more. Calculating the divergence angle requires numerical values for variable that are next to impossible to nail-down and very complex numerical simulations. I'm too old for that! So I measured the divergence of some other double guns and estimated. If I'm wrong on my "guess" for divergence angle I probably won't notice BECAUSE I'm not that good a shot in the first place! This logic will not work for a rifle gun!
I bought 2 barrels from Robert Hoyt. He does beautiful work, he is great to work with and his deliveries are right on time! But, the pair of barrels is too heavy, 5.5 pounds, for the "classic English" double gun of the last decade of the 18th century. If I build another I will have to get tubes from a barrel vendor that runs 4140 material, maybe Ed Rayl. The gun I am building is 50 years before the English design was refined. The mid-18th century French guns that have been sold on the James Julia auction site are all around 7 to 7.7 pounds.
I filed a flat along the side of each barrel. I clamped them to a piece of brand new cold-roll steel 1/2" thick and 3" wide that is 24" long, like Brockway shows in his book. I used Brownell's Silvalloy 355 silver solder ribbon, one piece at the breeches and one pieces at the muzzles. I used a MAPP-gas torch. They are stuck together, right proper.
I'll start a thread with my build. I'm taking a lot of photos as I go.
Best Regards,
JMC
John Cholin