So if he'd only had interplanetary probes, غیاث الدین جمشید کاشانی‎ Ghiyās-ud-dīn Jamshīd Kāshānī could in principle have navigated them to the proper accuracy in 1424.

By 1596 Ludolph van Ceulen had 20 digits, and even more by the time he designed his tombstone: https://upload.wikimedia.org/wikipedia/commons/e/e8/Monument...

39 or 40 decimal places would have to wait until 1699.

https://en.wikipedia.org/wiki/Chronology_of_computation_of_π