Euclid's Elements Book V

Theory of ratio and proportion (Eudoxus). 18 definitions, 25 propositions. Does not depend on previous books. Foundation for Book VI and Books X–XIII.

Propositions 1–8 Multiples, equimultiples, basic ratio Propositions 9–16 Inequalities, alternate, jointly Propositions 17–25 Ex aequali, perturbed, composition