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

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