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Euclid?s Book on Divisions of Figures: With a Restoration Based on Woepcke?s Text and on the Practica Geometriae of Leonardo Pisano (Classic Reprint) - Couverture souple
Synopsis
Excerpt from Euclid?s Book on Divisions of Figures
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed on our website before purchase.
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Présentation de l'éditeur
From the Introductory.
EUCLID, famed founder of the Alexandrian School of Mathematics, was the author of not less than nine works. Approximately complete texts, all carefully edited, of four of these, (1) the Elements, (2) the Data, (3) the Optics, (4) the Phenomena, are now our possession. In the case of (5) the Pseudaria, (6) the Surface-Loci, (7) the Conics, our fragmentary knowledge, derived wholly from Greek sources, makes conjecture as to their content of the vaguest nature. On (8) the Porisms, Pappus gives extended comment. As to (9), the book On Divisions (of figures), Proclus alone among Greeks makes explanatory reference. But in an Arabian MS., translated by Woepcke into French over sixty years ago, we have not only the enunciations of all of the propositions but also the proofs of four of them.
Whilst elaborate restorations of the Porisms by Simson and Chasles have been published, no previous attempt has been made (the pamphlet of Ofterdinger is not forgotten) to restore the proofs of the book On Divisions (of figures) . And, except for a short sketch in Heath's monumental edition of Euclid's Elements, nothing but passing mention of Euclid's book On Divisions has appeared in English.
In this little volume I have attempted:
(1) to give, with necessary commentary, a restoration of Euclid's work based on the Woepcke text and on a thirteenth century geometry of Leonardo Pisano.
(2) to take due account of the various questions which arise in connection with (a) certain MSS. of "Muhammed Bagdedinus," (b) the Dee-Commandinus book on divisions of figures.
(3) to indicate the writers prior to 1500 who have dealt with propositions of Euclid's work.
(4) to make a selection from the very extensive bibliography of the subject during the past 400 years....
Présentation de l'éditeur
Leopold Classic Library is delighted to publish this classic book as part of our extensive collection. As part of our on-going commitment to delivering value to the reader, we have also provided you with a link to a website, where you may download a digital version of this work for free. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. Whilst the books in this collection have not been hand curated, an aim of our publishing program is to facilitate rapid access to this vast reservoir of literature. As a result of this book being first published many decades ago, it may have occasional imperfections. These imperfections may include poor picture quality, blurred or missing text. While some of these imperfections may have appeared in the original work, others may have resulted from the scanning process that has been applied. However, our view is that this is a significant literary work, which deserves to be brought back into print after many decades. While some publishers have applied optical character recognition (OCR), this approach has its own drawbacks, which include formatting errors, misspelt words, or the presence of inappropriate characters. Our philosophy has been guided by a desire to provide the reader with an experience that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic book, and that the occasional imperfection that it might contain will not detract from the experience.
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Euclid's Book on Divisions of Figures With a Restoration Based on Woepcke's Text and on the Practica Geometriae of Leonardo Pisano Classic Reprint
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333488116
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Euclid's Book on Divisions of Figures With a Restoration Based on Woepcke's Text and on the Practica Geometriae of Leonardo Pisano Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333488116
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Euclidâs Book on Divisions of Figures (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book is a restoration of the lost work "On Divisions of Figures" by the Greek mathematician Euclid, who lived around 300 BCE. Only fragments and references to this work survived until the publication in 1851 of a treatise in Arabic attributed to Euclid, from which the author has recreated the original text. The book is divided into 36 propositions and covers methods for dividing geometric figures into parts with given ratios and areas, including triangles, parallelograms, and circles. The author has drawn on the work of other mathematicians such as Leonardo Fibonacci and the Arabian writer Muhammed Bagdedinus to provide a comprehensive treatment of the subject. This book will be of interest to scholars of ancient mathematics, historians of science, and anyone fascinated by the enduring legacy of Greek mathematical thought. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781333488116_0
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