THE TAMING OF THE SHREW
Just as Bianca is Katherine’s foil—her opposite—the intrepid, lovesick Lucentio serves as a foil for Petruchio throughout the play. Lucentio reflects the sort of idyllic, poetical view of love that Petruchio’s pragmatism dismisses: Lucentio is struck by love for Bianca at first sight, says that he will die if he cannot win her heart, and subsequently puts into motion a romantic and fanciful plan to do so. Whereas love in the play is often mitigated by economic and social concerns, Lucentio is swept up in a vision of courtly love that does not include the practical considerations of men like Petruchio.
Mitchell & Webb - Lucentio