Platonical

adjective2

1. •
   Pertaining to Plato or his philosophy; Platonic.

   • [T]he Pythagoricall, and Platonicall perfect scholer, and the constant profound Philosopher, with more ease and spede, may (like the Bee,) gather, hereby, both wax and hony. — 1570
2. •
   Affectionate but non-sexual; platonic.