Well, I agree with a few things here, ha ha.
Centerline of the track in general (where the mounting/nailing/ screwing holes are!) is what the measurements, when given, refer to. (except when they are not - noted at the end)
And, 45mm is, of course our inside rail head to inside rail head measurement. So Gregs "half of 45mm" certainly makes sense. Now I will need to go look at the track harder to determine if the edge of the rail head is in the same vertical plane as the edge of the rail base. My bet is no, because that would make it too easy.
Also, I agree that when you build a circle and try to get the curves all matched at the ends, you seem to always end up with a gap somewhere and then end up averaging out the gap by splitting it between all the sections so you have only tiny gaps everywhere and by then you are frustrated to the point of "it's close enough".
And, who in their right mind ever just builds a circle anyhow? (oh wait, that Christmas tree thing, huh)
So, where I got into trouble was trying to build four identical, swap-able 90 degree corners which caused me to want to know where my mark was at each side of the 90 degree corner. This was my practical purpose for wanting a particular size. As I originally jokingly posted, I did actually let my OCD completely out of the box by putting together those twelve sections on a flat tabletop. The sections I picked were surprisingly well matched and had very little gap anywhere when snugged up fully. Then I measured across the circle from nail hole to opposing nail hole (centerline diameter...right?). Would you be surprised to know that in those twelve measurements, there was a large variety of diameters? So I added them all up and divided by twelve to get an average. 47.315 inches. Funny how none of my large measuring sticks are graduated in millimetres. But a quick conversion yielded the interesting fact that 47.315 inches is 1201.8 mm.
At this point I had that moment we have all probably come to on occasion. That "wait just a darn minute. That sure sounds familiar" moment. Dead silence as I go find the LGB track chart and wake up to the fact that this is Aristocrafts version of LGB R1 1200 mm track. Duh and double duh......
For the non millimetre crowd: 1200.15 mm = 47 1/4 inches. Close enough for my dull pencil.
For those following Gregs logic: the inside edge of the outside rail would be at 1222.5 mm or 48.1299 inches. (1/8 inch = .125 so 48 1/8 for the American carpenters)
And when you go to, well, any supplier that sells track, and you buy a "curved track, four foot circle".....you can be reasonably sure that it sure ain't the centerline they are referring to!
All you machinists with your thousandths are on your own. I'm tired and my caliper is not 48 inches long anyhow.