Euclid's Elements Book X
Incommensurables, binomials, apotomes. 115 propositions, 16 definitions. Depends on Books I, V, VI. Thirteen irrational straight lines; X.115: infinite irrationals from medial.
Propositions 1–15 Commensurable, incommensurable, GCM, ratio
Propositions 16–30 Medial, rational, parallelogram
Propositions 31–45 Binomial, bimedial, major
Propositions 46–60 Find binomials, area by rational
Propositions 61–75 Square on binomial, apotome
Propositions 76–90 Apotome types, find apotomes
Propositions 91–105 Area by apotome, commensurable
Propositions 106–115 Rational from irrational, order