Kunstweg

Bürgi used these algorithms to calculate a Canon Sinuum, a table of sines in steps of 2 arc seconds.

Some authors have speculated that this table only covered the range from 0 to 45 degrees, but nothing seems to support this claim.

Johannes Kepler called the Canon Sinuum the most precise known table of sines.

[2] Bürgi explained his algorithms in his work Fundamentum Astronomiae which he presented to Emperor Rudolf II.

As recently as 2015, Folkerts et al. showed that this simple process converges indeed towards the true sines.