Talk:Henry Ernest Dudeney/Puzzles and Curious Problems/188 - Squaring the Circle/Solution 2

Any idea what Dudeney refers to when he stated the result is within a $\dfrac 1 {5000}$ part?

$\dfrac 1 {5000}$ of $\dfrac \pi 2$ is $0.00031415...$ (duh)

and the upper bound $\dfrac \pi 2 + \dfrac \pi {10000} = 1.571110\ldots$,

is less than what we calculated: $1.571174 \ldots$ --RandomUndergrad (talk) 06:09, 9 February 2022 (UTC)

Loose and sloppy mathematics. The man was a self-taught amateur, and many of his answers show that. I'll raise an erratum page. --prime mover (talk) 07:45, 9 February 2022 (UTC)