In this chapter on translating between geometry and arithmetic, Hoffmann shows how translation is practiced within mathematics, between two branches of mathematics. His data illustrates how this kind of translation process contributes to a clearer understanding of the problem at hand, and leads to the emergence of new ‘cultural forms’, in this case, new proofs in mathematics. In this sense, his work supports the idea of translation as negentropic semiotic work, and it also provides evidence of the value of communication between different semiotic systems, that is, interdisciplinarity.