Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1 (Classic Reprint): Being the Substance of Lectures Delivered in the University ... of the First Year in Arts (Classic Reprint) - Softcover
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Uncover the geometry of circles and their hidden connections This volume presents key ideas about centers, axes of perspective, coaxal systems, and the relationships between circles in complex figures.
The text explains how circles interact in pairs and groups, including orthogonality, angles of intersection, and radical axes. It combines foundational definitions with concise proofs, helping readers build a clear mental model of two- and three-circle configurations.
- How centers and axes define the perspective view of circles
- Coaxal families, radical axes, and their geometric consequences
- Complete versus incomplete figures and the role of vertices and sides
- Properties of circles intersecting at equal or supplementary angles
Ideal for readers of advanced geometry and students preparing for honors work in math, this edition offers rigorous yet accessible coverage of classical circle theory and its modern perspective.
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Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. This book provides a foundational treatise on Modern Elementary Geometry, a field the author helped to establish that covers geometric problems that can be solved with basic algebra skills. The book's subject is developed in two parts and builds upon the knowledge of the first six books of Euclid, typically learned by students transitioning from secondary school to university. The first part introduces the concept of double geometric meaning, a cornerstone of modern elementary geometry, which posits that geometric terms can simultaneously denote both magnitudes and figures. The second part introduces the idea of double generation of geometric figures, demonstrating that every geometric figure can be generated by the movement of a point or a line. The author explores the implications of these concepts across various theoretical problems and gives detailed instructions for practical constructions. By providing a systematic exposition of Modern Elementary Geometry, this book serves as an excellent resource for students and practitioners alike, offering a thorough understanding of a subject vital to future geometric discovery. 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. Bestandsnummer des Verkäufers 9781332919628_0
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Chapters on the Modern Geometry of the Point, Line, and Circle, Vol 1 Being the Substance of Lectures Delivered in the University of Dublin to the of the First Year in Arts Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332919628
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Chapters on the Modern Geometry of the Point, Line, and Circle, Vol 1 Being the Substance of Lectures Delivered in the University of Dublin to the of the First Year in Arts Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332919628
Neu kaufen
EUR 28,45
EUR 5,82 Versand
Versand von Vereinigtes Königreich nach USA
Versand von Vereinigtes Königreich nach USA
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