Excerpt from The Elements of Curves: Comprising, I, the Geometrical Principles of the Conic Sections; II. An Introduction to the Algebraic Theory of Curves
This mode of expressing proportionals in many cases offers considerable advantages in point of brevity and clearness, from bringing at once under the eye all the steps of a proof, which if written at length would appear long and complex. Its utility will be perceived, and any apparent obscurity in it removed, upon the perusal of a very few of the propositions where it is exemplified.
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Paperback. Condition: New. Print on Demand. This book is a comprehensive exploration of the geometrical principles underpinning conic sections, a subject that has fascinated mathematicians for centuries. The author meticulously addresses a perceived lack of systematic and accessible treatments in existing works on the topic. The book uniquely emphasizes the derivation of these curves directly from the cone, a method previously considered lengthy and complex but simplified by the author. The author goes beyond the traditional focus on the axis of a conic section and explores properties related to any diameter. The reader is then introduced to the construction of conic sections through the concept of the focus, a critical element in understanding these curves. This method allows for the derivation of a range of fascinating properties, including those related to the directrix and focal lines. The author delves into the nature of tangents, normals, and subtangents, leading the reader through the intricacies of these concepts and their relation to the geometry of conic sections. The book ultimately offers a rigorous and engaging exploration of this essential area of mathematics, providing a solid foundation for further study of geometrical concepts and the pursuit of related fields. 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 # 9781332968992_0
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Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332968992
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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332968992
Quantity: 15 available