This chapter considers the three major domains in law and the study of law: private, public, and criminal law. These domains have their own principles, vocabularies, and structures, each geared to the type of relationships they aim to regulate and constitute. This chapter first explains how these domains differ based on a set of conceptual distinctions, such as absolute and relative rights, legal subjects and legal objects, mandatory and default law. After describing law as a unity of primary and secondary rules and their underlying principles (in chapter 2), this chapter describes law as a system of legal relations between legal subjects, with regard to legal objects. This understanding provides the foundations for the introduction of the core structure, vocabulary, and underlying principles of each domain, highlighting the difference between supposedly horizontal relations in private law and the vertical relations of public and criminal law. This, for instance, connects with the prominence of the legality principle in constitutional, administrative, and criminal law, whereas individual autonomy, fairness, and societal trust inform the rules and principles of private law.