Euclid's Book on Division of Figures
With a Restoration Based on Woepcke's Text and on the Practica Geometriae of Leonardo Pisano

Originally published in 1915, this book contains an English translation of a reconstructed version of Euclid's study of divisions of geometric figures.

Raymond Clare Archibald (Author)

9781107492240, Cambridge University Press

Paperback / softback, published 12 March 2015

98 pages
22.9 x 15.2 x 0.6 cm, 0.16 kg

Originally published in 1915, this book contains an English translation of a reconstructed version of Euclid's study of divisions of geometric figures, which survives only partially and in only one Arabic manuscript. Archibald also gives an introduction to the text, its transmission in an Arabic version and its possible connection with Fibonacci's Practica geometriae. This book will be of value to anyone with an interest in Greek mathematics, the history of science or the reconstruction of ancient texts.

Introductory
1. Proclus, and Euclid's book On Divisions of Figures
2-6. De divisionibus by 'Muhammed Bagdedinus' and the Dee MS.
7-9. The Woepcke-Euclid MS.
10-13. Practica geometriae of Leonardo Pisano (Fibonaci)
14-17. Summary
18. Abraham Savasorda, Jordanus Nemorarius, Luca Paciuolo
19. 'Muhammed Bagdedinus' and other Arabian writers on divisions of figures
20. Practical applications of the problems on divisions of figures
21. Connection between Euclid's book On Divisions, Apollonius's treatise On Cutting off a Space and a pappus-lemma to Euclid's book of Porisms
22-57. Restoration of Euclid
Appendix
Index of names.

Subject Areas: Classical history / classical civilisation [HBLA1]