Herb, do you have a good reference for the "Math" aspect of the problem?
I will try and describe how I arrive at it. This was a contest called the 2X4 challenge where we had it make an item out of a 2X4X8'.
Circumference of the top C=╥d, =╥13,=3.14X13=40.82"
Circumference of bottom C=╥10= 3.14X10=31.4"
width of each stave =1.25"@top
number of staves = 40.82/1.25 =32.65 ( round off to32 staves)
New Top circumference = 32 X 1.25 =40"
Bottom C/#staves=width of bottom of stave=31.4"/32=.981", (round off to 1")
New Bottom C =32"
The degree of bevel each side is C/#staves/2= 360°/32/2= 11.25°/2=5.62° each side
I ripped the staves 3/4"thick X 1 1/2"X12"
Using 2 jigs I made to then rip each side, on a tapered angle and bevel.
I hope you can understand this.