Synopsis
Clear, student-friendly guidance to mastering conic sections with a classic approach.
This work presents conic sections through a definition-based starting point, focusing on simplicity for beginners. It treats the parabola, ellipse, and hyperbola using consistent methods across rectangular, oblique, and polar coordinates, linking ideas to analytic geometry without overwhelming rigor.
Readers will encounter practical developments in the ellipse, including properties related to tangents, conjugate diameters, and coordinate systems. The text builds from foundational definitions to accessible applications, making complex ideas easier to grasp for study and examination preparation.
- Defines a conic section as a locus of a point with a fixed distance ratio to a focus and a line.
- Derives key properties of the ellipse and hyperbola through consistent coordinate frameworks.
- Explains tangents, diameters, and conjugate systems with concrete steps and examples.
- Frames the subject in a way that aligns with elementary instruction and practice in algebra and geometry.
Ideal for students beginning their study of conic sections and for readers seeking a solid, approachable foundation in analytic geometry.
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An Analytical System of Conic Sections (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a comprehensive and systematic approach to the study of conic sections, offering a blend of geometric and analytic techniques. The author adeptly demonstrates the subject's historical development while laying a solid foundation for advanced mathematical exploration. Beginning with a clear definition of conic sections as loci of points, the book progressively explores their equations, properties, and applications. Extensive use of diagrams and detailed examples aids in visualizing concepts and reinforcing understanding. The author explores various coordinate systems, enabling readers to analyze conic sections from diverse perspectives. Furthermore, the book delves into the relationship between conic sections and second-degree equations, highlighting their geometric interpretations and algebraic representations. This holistic approach allows readers to appreciate the intricate connection between geometry and algebra. By providing a comprehensive view of conic sections, this book empowers readers to unravel the complexities of these curves. Its insights are invaluable for students of mathematics, physics, engineering, and anyone seeking a deeper understanding of this fundamental geometric concept. 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 # 9780282665494_0
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An Analytical System of Conic Sections (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282665494
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An Analytical System of Conic Sections (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282665494
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An Analytical System of Conic Sections (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 306 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 29693617/2