The painting you are referring to is "Pallas and the Centaur" by Sandro Botticelli. In this vertical composition, Athena (Pallas Athena) is depicted crowned with olive branches, leaning against a lance while caressing a centaur's hair. The centaur, being a symbol of unbridled energy and instinct, appears to be calmed by the touch of the goddess of wisdom. The representation of this scene showcases Botticelli's intricate detail and symbolism in capturing the interaction between human and mythological figures.