Books on Archimedes
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Below are some books about Archimedes available for free on the Internet.

The Works of Archimedes
Edited by Thomas Little Heath (1861-1940)
Cambridge University Press, 1897

This book contains an introduction and English translations/paraphrases of all of the works of Archimedes with the exception of “The Method”. (See the next listing for this work.) Heath’s main source for the original text of Archimedes was Heiberg’s Archimedis Opera Omnia listed below.

Access from Google Books (scanned at the University of Michigan)
Access from Google Books (scanned at Stanford University)
Access from Internet Archive (scanned at Osmania University)


The Method of Archimedes
  RECENTLY DISCOVERED BY HEIBERG
  A Supplement to The Works of Archimedes 1897

Edited by Thomas Little Heath (1861-1940)
Cambridge University Press, 1912

This 51-page supplement contains an introduction and English translation of the treatise of Archimedes usually called “The Method.” The treatise was discovered by J. L. Heiberg in Constantinople in 1906 [1], who then published its Greek text [2].

Access from Internet Archive (scanned at the Cornell University Library)

References:
[1] “Big Literary Find in Constantinople,” The New York Times, July 16, 1907, page 1.
[2] J. L. Heiberg, “Eine neue Archimedeshandschrift”, Hermes, Volume 42, Berlin, 1907, pages 234-303.


Geometrical Solutions Derived from Mechanics:
A Treatise of Archimedes

Discovered and Edited by Johan Ludvig Heiberg (1854-1928)
Introduction by David Eugene Smith (1860-1944)
Translation into English by Lydia Gillingham Robinson
The Open Court Publishing Company, Chicago, 1909

This 28-page pamphlet is a reprint of a journal article [1] containing an English translation of the treatise of Archimedes usually called “The Method.” The treatise was discovered by Heiberg in Constantinople in 1906 [2], who then published its Greek text [3] and translated it into German [4]. Robinson’s English translation is from Heiberg’s German translation. (Note that the translation immediately above by Heath is from the original Greek text edited by Heiberg.)

Access from Google Books (scanned at Harvard University)
Access from Internet Archive (scanned at the University of California)

References:
[1] D. E. Smith, “A Newly Discovered Treatise of Archimedes,” The Monist, Volume 19, April 1909, pages 202-230.
[2] “Big Literary Find in Constantinople,” The New York Times, July 16, 1907, page 1.
[3] J. L. Heiberg, “Eine neue Archimedeshandschrift”, Hermes, Volume 42, Berlin, 1907, pages 234-303.
[4] J. L. Heiberg and H. G. Zeuthen, “Eine neue Schrift des Archimedes,” Bibliotheca Mathematica, Volume 7, June 1907, pages 321-363.



  Greek Page


  Latin Page

Archimedis Opera Omnia cum Commentariis Eutocii
edited by Johan Ludvig Heiberg (1854-1928)
B. G. Teubner, Leipzig, 1880-81

This classic work in three volumes contains the Greek and Latin texts of Archimedes’ works on facing pages as edited by Heiberg. It also contains the commentaries of Eutocius (Greek, c. 480-540) on three of these works.

You can access PDFs of these volumes from a site dedicated to the memory of the History of Mathematics Department at Brown University (Providence, RI, USA ) or you can download them directly from this site by clicking on the links below.

Volume 1 (1880) (Scanned at Stanford University)
  De Sphaera et Cylindro (I & II)
  Dimensio Circuli
  De Conoidibus et Sphaeroidibus

Volume 2 (1881) (Scanned at Stanford University)
  De Lineis Spiralibus
  De Planorum Aequilibriis (I & II)
  Arenarius
  Quadratura Parabolae
  De Iis, Quae in Humido Vehuntur (I & II)
  Lemmata
  Problema Bovinum
  Fragmenta

Volume 3 (1881) (Scanned at the University of Michigan)
  Eutocii Commentarii
  Scholia Codicis Florentini
  Indices


Archimedes
by Thomas Little Heath (1861-1940)
Pioneers of Progress: Men of Science
London: Society for Promoting Christian Knowledge, 1920

This 58-page book contains a description and discussion of Archimedes’ life and works. It does not contain any diagrams or illustrations.

Access from Internet Archive (scanned at the University of Toronto)