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Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics (Classic Reprint) - Couverture souple
Synopsis
Excerpt from Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics
The two Memoirs by M. Chasles, On the Properties of Cones of the second Degree, and On the Spherical Conics, of which a translation is now presented to Eng lish geometers, were printed in the sixth volume of the Transactions of the Royal Academy of Brussels. Whe ther they are considered merely as exercises of pure geometry, exhibiting its elegance and power in a re markable degree, or as a rich and early contribution to the theory of spherical curves, they possess strong claims on the attention of mathematicians.
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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.
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Two Geometrical Memoirs on the General Properties of Cones of the Second Degree
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of cones of the second degree, a subject that has captivated mathematicians for centuries. The author presents a comprehensive exploration of these geometric figures, building upon the foundational work of Descartes and drawing connections to the theory of polar transformations. Through a purely geometrical approach, the book unveils the intricate relationships between the cyclic planes and focal lines of cones. The author carefully dissects the properties of these elements, demonstrating how they govern the behavior of tangent planes, sides, and circular sections. The book also introduces the concept of supplementary cones, highlighting the dualistic nature of geometric relationships. The author's exploration goes beyond mere definitions and theorems, offering a nuanced understanding of how these properties connect to broader concepts in geometry, such as harmonic points and pencils. This exploration provides a rich foundation for further study and applications in fields like projective geometry and the analysis of surfaces. Ultimately, this book stands as a testament to the elegance and enduring power of geometric reasoning. 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 9781331982135_0
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Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics (Classic Reprint)
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781331982135
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Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics (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-9781331982135
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