The 2.08 and 1.04 figures are the circumference of a .662 diameter ball or half that amount.
Those sizes really wouldn't work because it would be darn near impossible to position the patch so it fully covered half the ball.
Any error in centering a patch that size would result in some area that wouldn't have a patch between the ball and the bore.
IMO, this patch size thing isn't real critical as long as there is patching all the way around the ball where it meets the bore.
For a quick calculation to figure out a good patch size just multiply the ball diameter times 3.
If cloth is at a premium or a smaller size is wanted, multiply the ball diameter times 2.5.
If someone wants my theoretically accurate patch size, multiply the diameter of the ball times 3.142. Divide the answer by 2. Then, add in the diameter of the ball.
For a .66 diameter ball the answer for the first method would be 1.980.
For the same ball the answer for the second method would be 1.650.
For the theoretically correct answer the size would be 1.697.
Any of these three answers will work fine.