"established empirically" — Diccionario de colocaciones de inglés

Automatic translation (No garantizamos su exactitud.): stwierdzić empirycznie
  1. establish verbo + empirically adverbio
    Muy relajada/ suelta colocación

    The primitive notion of heat was taken as empirically established, especially through calorimetry regarded as a subject in its own right, prior to thermodynamics.