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By Thomas L. Heath, Euclid
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Extra resources for The Thirteen Books of the Elements, Vol. 1: Books 1-2
Example text
C. 3 VIII. 12, ext. 1. 1 Letter to Fernandus Acuna, printed in Maurolycus, Historia Siciliae, fol. 21 r. (see Heiberg, Euklid-Studien, pp. 22–3, 25). 2 Preface to translation (Pisauri, 1572). 3 Diog. L. 11. 106, p. 58 ed. Cobet. 4 Casiri, Bibliotheca Arabico-Hispana Escurialensis, 1. p. 339. Casiri’s source is al-Qifī (d. 1248), the author of the Ta’rīkh al-ukamā, a collection of biographies of philosophers, mathematicians, astronomers etc. )” (see Suter’s translation in Abhandlungen zur Gesch.
IX. and on Book X. follow the same plan. I desire to express here my thanks to my brother, Dr R. S. Heath, Vice-Principal of Birmingham University, for suggestions on the proof sheets and, in particular, for the reference to the parallelism between Euclid’s definition of proportion and Dedekind’s theory of irrationals, to Mr R. D. Hicks for advice on a number of difficult points of translation, to Professor A. A. Bevan for help in the transliteration of Arabic names, and to the Curators and Librarian of the Bodleian Library for permission to reproduce, as frontispiece, a page from the famous Bodleian MS.
The readiness of the Arabians to run away with an idea is illustrated by the last words of the extract. ” Equally remarkable are the Arabian accounts of the relation of Euclid and Apollonius1. According to them the Elements were originally written, not by Euclid, but by a man whose name was Apollonius, a carpenter, who wrote the work in 15 books or sections2. In the course of time some of the work was lost and the rest became disarranged, so that one of the kings at Alexandria who desired to study geometry and to master this treatise in particular first questioned about it certain learned men who visited him and then sent for Euclid who was at that time famous as a geometer, and asked him to revise and complete the work and reduce it to order.