geometric algebra

Artin’s books include Geometric Algebra (1957) and, with John T. Tate, Class Field Theory (1961). Most of his technical papers are found in The Collected Papers of Emil Artin (1965).

…Book II has been called geometric algebra because it states algebraic identities as theorems about equivalent geometric figures. Book II contains a construction of “the section,” the division of a line into two parts such that the ratio of the larger to the smaller segment is equal to the ratio…