Dative comes from the Latin verb "do, dare" which means "give." In English, the dative case is used for the indirect object, the person, animal, or thing that receives the direct object, as in "Jill gave the dog a bone." This sentence can be rewritten as "Jill gave a bone to the dog," therefore dative is often accompanied by the preposition to. Genitive comes from the Latin noun "genus" "family," therefore genitive has to do with origin and possession. "Leonardo da Vinci" is genitive; so is "bone" in the phrases "the dog's bone" or "the bone of the dog."