A new translation of Euclid's 'Elements' together with a
comprehensive introduction to each of the 'Elements'' books, all
contained in a single volume. Euclid's 'Elements', produced c300
BC, superseded all previous attempts to identify the 'elements' of
geometry and became the authoritative work on plane and solid
geometry, number theory, proportion, and the irrationals to be
relied upon and quoted by later Greek mathematicians. This edition
contains a translation of Euclid's 'Elements' and discusses
Euclid's methods - the development of axioms (postulates and common
notions), the establishment of proofs derived from definitions,
axioms and previously made proofs and the use of proof by
contradiction. Each of the 'Elements' thirteen books is summarised
and discussed in an introductory chapter. There is a fresh look at
Euclid's treatment of rationality and commensurability, based as it
was on comparisons of straight lines rather than numbers.
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