'The figure 38.5 is one I encounter in many places, but most prominently in my old study of Wine gallons years ago. The definition of the current US gallon of 231 cu/ins., formerly known as the Queen Anne gallon after it became statute during her reign, was expressed as a cylinder of 7" base x 6" height. Using the formula for the volume of this cylinder as PiRsq., or 3.5 ins. squared = 12.25 x 22/7 = 38.5 area of circle x 6 = 231 cu/ins. The ratio of this rounded Thom Pi of 3.1416 to that of 22/7 being 2499/2500. Can't say I've encountered that one before now. Although I have encountered the ratio 22/7 x 2485/2486 = 355/113 Pi ratio in the past. My question at this point is, how was this ratio applied in your studies of Thom's work? Was it purely a circumferential unit formula, or did it have anything to do with areas? The reason I ask, is that 3.85sq./ 2.72sq. = 2.003473724, or nearly 2/1 in ratio. '
remarkable stuff supports the 3.1416/3.5 calcuation. I was given 22/7 x 2485/2486 some time ago by another metrologist and started messing around with 22/7 x stepped fractions.
I have pi squared as area at the aubrey circle with Thom Pi 1632/520 x 1760/560 x 91 = 897.60.
This excludes 3.1416 but it works most definitely as Pi squared with Thom Pi as 1632/520 and this is 3.138461538.
3.1416 - 3.138461538 = 0.003138462
3.1416 / 0.003138462 = 1001
3.138461538 / 0.003138462 = 1000 a most extraordinary result for Thom Pi.
3.138461538 x 3.1416 = 9.859790769
897.60 / 9.859790769 = 91.03641457
91.03641457 - 91 = 0.036414566
these give / 0.036414566
2500 and 2499 so the Pi squared gives 2500 of 50 x 50 square units.
I do get area working to give 364 and Jim gets astronomical information from area at the circles. To be honest i have not got the time to look at this but i do have the acre worked out as a sacred eclipse unit.
The acre is 66x660 =43560
This is 66 feet x 660 feet.
the 66 can be restated using the hidden system 100/99 and a unit of 0.99 feet to give 66.666r
660 x 66.666r = 44000 square units /3 = 14666.666r
There is much to be done in particular around pythagorean triples, 3,4,5
just not enough time and many other commitments.
I hope this helps.
Edited 1 time(s). Last edit at 15-Jan-18 20:12 by DavidK.