Euclid's Elements

Clay Mathematics Institute Historical Archive

The thirteen books of Euclid's Elements

The index below refers to the thirteen books of Euclid's Elements (ca. 300 BC), as they appear in the "Bodleian Euclid." This is MS D'Orville 301, copied by Stephen the Clerk for Arethas of Patras, in Constantinople in 888 AD. The manuscript now resides in the Bodleian Library, Oxford University.

Each book below contains an index by proposition to the manuscript images and to corresponding Greek and English text. The text comes from Heiberg and Heath, respectively. CMI wishes to recognize Mark Schiefsky and David Camden for this contribution. (See the acknowledgments below for the many institutions and people who have contributed to this project.)

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BOOK I Triangles, parallels, and area
BOOK II Geometric algebra
BOOK III Circles
BOOK IV Constructions for inscribed and circumscribed figures
BOOK V Theory of proportions
BOOK VI Similar figures and proportions
BOOK VII Fundamentals of number theory
BOOK VIII Continued proportions in number theory
BOOK IX Number theory
BOOK X Classification of incommensurables
BOOK XI Solid geometry
BOOK XII Measurement of figures
BOOK XIII Regular solids


The manucript was digitized at Oxford in the Fall of 2004 by with funds provided by the Clay Mathematics Institute. The work was carried out under the supervision of Czeslaw Jan Grycz of Octavo and Richard Ovenden of the Bodleian Library., now, is a digital library of rare books established by Dr. John Warnock. Libraries Without Walls, Inc. continues the digitization activities begun by Octavo under a non-profit structure. See: All the digital collections of this manuscript derive from the 2004 digitization effort.

The Clay Mathematics Institute (CMI) expresses its thanks to the Bodleian Library and for making these digital resources available to the interested public, educators, mathematicians, and historians. CMI is grateful to Mark Schiefsky and David Camden for providing the index by propositions keyed to the manuscript. The index to the images was constructed by Camden using a tool developed by Schiefsky. Schiefsky developed a prorgram which he used to construct the references to the Greek and English text. See Archimedes Project at Harvard University for further information. The digital text (Greek and English) that is used here is the result of the Perseus Project at Tufts University. It was supported by National Science Foundation.

Clay Mathematics Institute Historical Archive

Published May 8, 2008. Copyright 2008, Clay Mathematics Institute

Clay Mathematics Institute Historical Archive

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