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.
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