Meditate
mid 16th century: from Latin meditat- ‘contemplated’, from the verb meditari, from a base meaning ‘measure’; related to mete1.
wiktionary
From Latin meditatus, past participle of meditari(“to think or reflect upon, consider, design, purpose, intend”), in form as if frequentative of mederi(“to heal, to cure, to remedy”); in sense and in form near to Greek μελετῶ(meletô, “to care for, attend to, study, practise, etc.”)
etymonline
meditate (v.)
1580s, "to ponder, think abstractly, engage in mental contemplation" (intransitive), probably a back-formation from meditation, or else from Latin meditatus, past participle of meditari "to meditate, think over, reflect, consider," frequentative form of PIE root *med- "take appropriate measures." From 1590s as "to plan in the mind," also "to employ the mind in thought or contemplation," especially in a religious way. Related: Meditated; meditating.
