Interesting! I am very skeptical that the tables are somehow "more accurate than any available today." Computers can easily give any trigonometric value to an arbitrary accuracy in almost no time at all. But at any rate, the calculations are impressive.
I saw an interview about this yesterday, and whilst I cannot recall the exact
quote, he said something like it was a better way of doing them, rather than
being more accurate. Or perhaps it was easier to teach them this way.
Sorry I cannot recall the exact phrase, and I cannot find the interview online.
Simply, not 'more accurate', but a better method (or something like that!).
All the best,