From the theory of "congeneric surd equations" to "Segre's bicomplex numbers"

TL;DR

This paper explores the historical development of bicomplex numbers, tracing their origins from solutions of irrational equations to their role in hypercomplex algebra systems.

Contribution

It provides a historical analysis connecting the concept of congeneric surd equations to the development of Segre's bicomplex numbers.

Findings

Historical link between surd equations and bicomplex numbers

Evolution of bicomplex numbers in hypercomplex algebra

Clarification of the conceptual origins of Segre's bicomplex numbers

Abstract

We will study the historical pathway of the emergence of Tessarines or Bicomplex numbers, from their origin as "imaginary" solutions of irrational equations, to their insertion in the context of study of the algebras of hypercomplex numbers.