Sinopsis
Unlock the foundations of modern geometry with a clear, systematic introduction. This classic work presents an elementary path through contemporary geometric ideas, from projective methods to the analytic connections that link different views of curves and shapes.
The volume offers a guided tour of the central topics that shape pure geometry today. Expect explanations of key concepts, historical context, and a practical approach that supports study and exploration. The translation includes explanatory notes and an index to help readers navigate the material.
- Learn how conic sections, transversals, and parallels drive modern geometric thinking
- See how synthetic methods relate to analytic equations and coordinate approaches
- Explore self-polar relationships, nets of conies, and the geometry of curves of the second order
- Work with examples and problems that illustrate construction and reasoning
Ideal for students of geometry and readers seeking a rigorous, accessible introduction to modern geometric ideas.
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Reseña del editor
Excerpt from Lectures on the Geometry of Position, Vol. 1
It has been my aim to present in fair readable English the geometric ideas contained in the text, rather than to hold myself, at all points, to a literal translation yet I trust that I have not alto gether destroyed the charm of the original writing. Some changes have been made; the articles have been numbered, the examples set at the end of the lectures to which they are related and a few new ones added, explanatory notes have been inserted where they seemed necessary or helpful, and an index has been compiled. I have not deemed it advisable to omit from this edition any part of the original prefaces or introduction, even though, at this distance from their first publication, they might not be demanded in their entirety.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
Reseña del editor
Excerpt from Lectures on the Geometry of Position, Vol. 1
In preparing this translation of Professor Reye's Geometric der Lage, my sole object has been to place within easy reach of the English-speaking student of pure geometry an elementary and systematic development of modern ideas and methods. The increasing interest in this study during recent years has seemed to demand a text-book at once scientific and sufficiently comprehensive to give the student a fair view of the field of modern pure geometry, and also sufficiently suggestive to incite him to investigation. The recognized merit of Professor Reye's work in all these regards is my only apology for offering this translation as an attempt to satisfy our present needs.
It has been my aim to present in fair readable English the geometric ideas contained in the text, rather than to hold myself, at all points, to a literal translation; yet I trust that I have not altogether destroyed the charm of the original writing. Some changes have been made; the articles have been numbered, the examples set at the end of the lectures to which they are related and a few new ones added, explanatory notes have been inserted where they seemed necessary or helpful, and an index has been compiled. I have not deemed it advisable to omit from this edition any part of the original prefaces or introduction, even though, at this distance from their first publication, they might not be demanded in their entirety.
For the most part I have endeavoured to hold rigorously to well-established terminology. A few instances of deviation from this principle, however, may be mentioned.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Lectures on the Geometry of Position, Vol. 1 (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book explores the foundations of a new and exciting branch of geometry: the Geometry of Position. Departing from the reliance on measurement found in traditional geometry, the author presents a system that emphasizes the spatial relationships between geometric objects, rather than their size or shape. The book delves into the fascinating concept of "primitive forms," which are fundamental building blocks for understanding geometric structures. Readers will discover the six primary formsââ âthe range of points, the sheaf of rays, the sheaf of planes, the plane field, the bundle of rays, and the space systemââ âand learn how these forms relate to each other through principles like projection and section. Through these explorations, the book reveals the surprising depth of geometry, offering a framework for understanding complex geometric figures and problems in a unique and elegant way. The author's clear and engaging explanations make this book an invaluable resource for anyone interested in discovering the hidden beauty and intricate workings of geometry. 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. Nº de ref. del artículo: 9781330115862_0
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Lectures on the Geometry of Position, Vol 1 Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330115862
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Lectures on the Geometry of Position, Vol 1 Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330115862
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LECTURES ON THE GEOMETRY OF PO
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Condición: New. KlappentextrnrnExcerpt from Lectures on the Geometry of Position, Vol. 1It has been my aim to present in fair readable English the geometric ideas contained in the text, rather than to hold myself, at all points, to a literal translation. Nº de ref. del artículo: 2147729904
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