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) - Tapa blanda

Townsend, Richard

 
9781332996711: 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)

Sinopsis

This book explores the modern geometry of points, lines, and circles, providing a solid foundation for understanding the fundamentals of this branch of mathematics. The author presents a systematic approach, assuming readers have basic knowledge of Euclidean geometry. The book covers various concepts, including the concept of double acceptance of geometrical terms, allowing magnitudes to be represented by numbers or letters, and the simultaneous determination of linear reciprocals. It also addresses the peculiarities of evanescent and infinite values of magnitudes. The author discusses the theory of maxima and minima, introducing the notions of extreme maximum and minimum values, the concept of positive and negative in geometry, and the use of the biliteral notation to indicate direction as well as magnitude. They explore the theory of the mean center of any system of points for any system of multiples, focusing on its importance in mechanics and highlighting instances where the mean center is indeterminate. Finally, the book examines topics such as complete and incomplete figures of points and lines, collinear and concurrent systems of points and lines, the theory of inverse points with respect to a circle, and the theory of poles and polars with respect to a circle, offering a comprehensive treatment of the subject.

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Reseña del editor

Excerpt from 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 Candidates for Honors of the First Year in Arts

The work now offered to the public contains, as its title indicates, the substance of lectures dc Iivered for some years in the University of Dublin to the candidates for mathematical honors of the first year in arts; and supposes, accordingly, a previous acquaintance only with the first six books of the Elements of Euclid, and with just that amount of the principles of Elementary Algebra essential to an intelligent conception of the nature of signs, and of the meaning and use of the ordi nary symbols of operation and quantity.

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 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 Candidates for Honors of the First Year in Arts

Though designed mainly for the instruction of students of the comparatively limited mathematical knowledge generally possessed at the transition from school to university life, and arranged with special reference to the existing course of mathematical instruction in the University of Dublin, the author has spared no pains to render the work as gene rally interesting and instructive as the extent of.

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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