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Treatise on Conic Sections: Edited in Modern Notation, With Introductions Including an Essay on the Earlier History of the Subject (Classic Reprint) - Softcover
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Excerpt from Appolonius of Perga, Treatise on Conic Sections: Edited in Modern Notation With Introductions Including an Essay on the Earlier History of the Subject
Again, the form of the propositions is an additional difficulty, because the reader finds in them none of the ordinary aids towards the comprehension of somewhat complicated geometrical work, such as the conventional appropriation, in modem text-books, of definite letters to denote particular points on the various conic sections. On the contrary, the enunciations of propositions which, by the aid of a notation once agreed upon, can now be stated in a few lines, were by Apollonius invariably given in words like the enunciations of Euclid. These latter are often sufficiently unwieldy; but the inconvenience is greatly intensified in Apollonius, where the greater complexity of the conceptions entering into the investigation of conics, as compared with the more elementary notions relating to the line and circle, necessitates in many instances an enunciation extending over a space equal to (say) half a page of this book. Hence it is often a matter of considerable labour even to grasp the enunciation of a proposition. Further, the propositions are, with the exception that separate paragraphs mark the formal divisions, printed continuously; there are no breaks for the purpose of enabling the eye to take in readily the successive steps in the demonstration and so facilitating the comprehension of the argument as a whole. There is no uniformity of notation, but in almost every fresh proposition a different letter is employed to denote the same point: what wonder then if there are the most serious obstacles in the way of even remembering the results of certain propositions? Nevertheless these propositions, though unfamiliar to mathematicians of the present day, are of the very essence of Apollonius' system, are being constantly used, and must therefore necessarily be borne in mind.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1332071694
- ISBN 13 9781332071692
- BindingPaperback
- LanguageEnglish
- Number of pages427
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Treatise on Conic Sections: Edited in Modern Notation (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of conic sections, exploring their intricate properties and historical significance. The author meticulously traces the development of this branch of mathematics, starting with the pioneering work of ancient Greek mathematicians like Menaechmus, Aristaeus, and Euclid. Through detailed analysis and insightful commentary, the book sheds light on the profound contributions of these early scholars. It examines their methods of constructing and analyzing conics, revealing their deep understanding of geometry and its applications. The book goes beyond mere historical recounting, offering a compelling exploration of the underlying concepts and theoretical frameworks that shaped the study of conic sections. It highlights the intellectual rigor and innovative thinking that characterized this era of mathematical discovery. By illuminating the foundations of conic sections, this book provides a valuable perspective on the evolution of mathematical thought and its enduring impact on science and engineering. 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. Seller Inventory # 9781332071692_0
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Treatise on Conic Sections: Edited in Modern Notation, With Introductions Including an Essay on the Earlier History of the Subject (Classic Reprint)
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Appolonius of Perga, Treatise on Conic Sections Edited in Modern Notation With Introductions Including an Essay on the Earlier History of the Subject Classic Reprint
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Appolonius of Perga, Treatise on Conic Sections: Edited in Modern Notation With Introductions Including an Essay on the Earlier History of the Subject (Classic Reprint)
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Paperback. Condition: Brand New. 434 pages. 8.43x5.85x0.73 inches. This item is printed on demand. Seller Inventory # zk1332071694
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