The Practice of the Analytic Art (translation).- Preface to Analysts.- Definitions.- Section One.- Section Two.- Section Three.- Section Four.- Section Five.- Section Six.- Numerical Exegesis.- Rules for Guidance.- Commentary.- Comparative Table of Equations Solved.- Textual Emendations.

This is the first English translation of Thomas Harriot's seminal Artis Analyticae Praxis, first published in Latin in 1631. It has recently become clear that Harriot's editor substantially rearranged the work, and omitted sections beyond his comprehension. Commentary included with this translation relates to corresponding pages in the manuscript papers, enabling exploration of Harriot's novel and advanced mathematics. This publication provides the basis for a reassessment of the development of algebra.