Excerpt from A Syllabus of Modern Plane Geometry
The fundamental rules with regard to these signs are that (i) if A and B be any two points on a straight line.
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Excerpt from A Syllabus of Modern Plane Geometry
The fundamental rules with regard to these signs are that (i) if A and B be any two points on a straight line.
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.
Excerpt from A Syllabus of Modern Plane Geometry
In Elementary Geometry a straight line of definite length, or a Segment, is considered with reference to absolute length only, and the question of whether it is to be added to or subtracted from another line is a matter of explicit statement.
In the Modern Plane Geometry account is taken of the direction of measurement along a straight line, and this is expressed with the help of the signs+ and.
The fundamental rules with regard to these signs are that (i) if A and Bbe any two points on a straight line,
Ab= -Ba, Ba= -Ab; an immediate consequence of which is that -(-Ab)= Ab, (ii) if A, B, Pbe any three points on a straight line, Ap +Pb =Ab. (2)Two fixed points (A and B)being taken on a straight line, the position of any other point P(on the same straight line) is given when the ratio of the segments Ap :Pb is given.
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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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330075357
Cantidad disponible: 15 disponibles
Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book delves into the captivating world of modern plane geometry. The author takes readers on an insightful journey, exploring the fundamental concepts and theorems that shape this branch of mathematics. From the elementary perspective of segment measurement to the complexities of harmonic ranges and complete quadrilaterals, this book provides a comprehensive overview of the subject. Moreover, it delves into the intriguing realm of circles and their properties, including orthogonality, radical axes, and centers of similitude. However, this book is more than just a collection of theorems and proofs. The author skillfully weaves historical context throughout, tracing the evolution of geometry from its ancient roots to its present-day applications. By examining the ideas of Euclid, Ceva, Menelaus, and other renowned mathematicians, the book illuminates the intellectual journey that has shaped this field. Furthermore, the author explores the thematic depth of modern plane geometry, highlighting its connections to other mathematical disciplines and its practical applications in architecture, engineering, and design. Throughout the exploration, the book emphasizes the beauty and elegance of geometry, showcasing its ability to describe and explain the world around us. Delving into the principles of duality, cross ratios, and projective geometry, the book reveals the power of geometric transformations and their impact on our understanding of space and shape. To conclude, this book is not just a textbook but an invitation to explore the fascinating world of geometry. It offers a rich blend of historical insights, theoretical depth, and practical applications, making it an invaluable resource for students, mathematicians, and anyone with an appreciation for the beauty and power of geometric ideas. 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: 9781330075357_0
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