Thus in the sentence vir fuit summá nóbilitáte, he was a man of the highest nobility, the words summá nobilitáte, of the highest nobility, are used for the adjective nóbilis, noble (or nóbilissimus, very noble), and are called an Adjective Phrase.
So in the sentence mágná celeritáte vénit, he came with great speed, the words mágná celeritáte, with great speed, are used for the adverb celeriter, quickly (or celerrimé, very quickly), and are called an Adverbial Phrase.