Euclid's Elements is a mathematical and geometric treatise consisting of 13
books attributed to ... The thirteen books cover Euclidean geometry and the
ancient Greek version of elementary number...
Feb 14, 1997 ... The Elements; Data -- a companion volume to the first six books of the Elements
... Postulates -- particular to the subject at hand; Theorems .... touch a circle which
, meeting the circle and being produced, does not cut the circle.
This dynamically illustrated edition of Euclid's Elements includes 13 books on
plane geometry, geometric and abstract algebra, number theory, ...
Aug 26, 2014 ... Euclid's Elements is by far the most famous mathematical work of classical ... The
main subjects of the work are geometry, proportion, and number theory. ... Book 1
outlines the fundamental propositions of plane geometry, ...
Oct 4, 2003 ... : Proclus, A Commentary on the First Book of Euclid's Elements , trans. .... by a
half-century the famous work by Apollonius on the same subject. .... For example,
defining what is meant by the term ``circle'' does not imply that ...
And yet, even though we call the subject Euclidean geometry, very few people, ...
those of us who teach it, have a clear idea of what exactly it was that Euclid did. ...
Euclid's 13 books cover an enormous swath of math, from planar geometry to ...
Subject index ... 1248), recorded that Euclid's father was Naucrates and his
grandfather was Zenarchus, that he was a Greek, ... The Elements is divided into
thirteen books which cover plane geometry, arithmetic and number theory, ... I
thought at first that I understood its meaning, but soon became satisfied that I did
The books are organized by subjects, covering every area of mathematics ... The
basic structure of the elements begins with Euclid establishing axioms, the ...
(Euclid does, however, make frequent use of reductio ad absurdum or
demonstratio .... The subject matter of the first six books of the Elements is plane
Related subjects: Mathematics ... Euclid's Elements ( Greek: Στοιχεῖα) is a
mathematical and geometric ... The thirteen books cover Euclidean geometry and
the ancient Greek version of elementary number theory. ... Not until the 20th
century, by which time its content was universally taught through school books,
did it cease .....