Elementary Synthetic Geometry: Of the Point, Line and Circle in the Plane (Classic Reprint) - Softcover
Synopsis
A clear, student-friendly introduction to plane geometry
This volume presents geometry by treating the point, line, and circle as its essential elements, then builds toward modern ideas in a way that links to algebra and analytic thinking. It emphasizes definitions, constructions, and a careful distinction between figures that coincide in area and those that are congruent, setting up a solid foundation for later study.
The author’s approach blends constructive and descriptive methods, with attention to how geometric ideas can be written in symbols and formulas. It uses practical drawing instruments, introduces initial ideas of motion and continuity, and guides readers toward the wider world of analytic geometry without losing sight of elementary understanding.- Learn the basic elements of plane geometry and how to define figures from points, lines, and curves.
- See how geometry connects with algebra through symbolic representations and interpretations.
- Explore constructive techniques, including classical constructions and problem-solving strategies.
- Follow a pathway from basic concepts to more advanced ideas like proportion, inversion, and pole and polar.
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Elementary Synthetic Geometry: Of the Point, Line and Circle in the Plane
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book explores fundamental ideas of synthetic geometry in a way that brings the subject to life. The author approaches classic ideas from a new perspective to reflect a modern context on historic themes. Establishing a geometric line as a concept of length abstracted from every other quality, the author explores key concepts of angles, congruence of triangles, equality of figures, and plane gure dimensions. These ideas are situated within the broader context of space, dened as the limitless expanse capable of length and direction in every direction. Moving from the classic denitions of points and lines, the author leads readers on a journey through the theorems that govern these elements and the gures they form, delving into the properties of isosceles and equilateral triangles, and concluding with an examination of the relationship between angles and segments. In this way, the book provides a rich and engaging exploration of geometry that is both accessible and illuminating. 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 # 9781440089220_0
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Elementary Synthetic Geometry Of the Point, Line and Circle in the Plane Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440089220
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Elementary Synthetic Geometry Of the Point, Line and Circle in the Plane Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440089220
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ELEM SYNTHETIC GEOMETRY
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Condition: New. KlappentextrnrnExcerpt from Elementary Synthetic Geometry: Of the Point, Line and Circle in the PlaneParts IV. And V. Contain a synthetic treatment of the theories of the mean centre, of inverse figures, of pole and polar, of harmonic di. Seller Inventory # 2148538388
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