This book provides an in-depth guide to Euclidean plane geometry, starting with basic definitions and progressing to complex theorems. The author presents a methodical approach to learning geometry, breaking down complex concepts into manageable steps with numerous supporting diagrams and examples. It explores the development of geometry throughout history, tracing its roots back to ancient civilizations and discussing the contributions of key thinkers like Euclid and Pythagoras. The book delves into the theoretical foundations of geometry, such as points, lines, angles, and shapes, and demonstrates their practical applications in various areas, including architecture, engineering, and surveying. It emphasizes the importance of understanding geometric principles for problem-solving and critical thinking in both academic and real-world contexts, making it an invaluable resource for students, educators, and anyone seeking to enhance their knowledge of geometry.
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Excerpt from Gradations in Euclid: Books I. And II.; An Introduction to Plane Geometry, Its Use and Application; With an Explanatory Preface; Remarks on Geometrical Reasoning, and on Arithmetic and Algebra Applied to Geometry
The practical results will, it is presumed, be instructive to the Learner in various ways, but especially as exhibiting a synoptical view of all the Problems contained in Euclid's Elements of Plane Geometry He will not, indeed, have arrived at the means of demonstrating the Prob lems which lie out of the First and Second Books; but, inasmuch as their construction depends almost entirely on those two books, he wil possess, for practical purposes, a knowledge of the methods by which, the regular Geometrical Figures, not being sections of a Cone, are to be constructed.
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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 Gradations in Euclid: Books I. And II.; An Introduction to Plane Geometry, Its Use and Application; With an Explanatory Preface; Remarks on Geometrical Reasoning, and on Arithmetic and Algebra Applied to Geometry
The explanatory notes direct the Learner's attention to several points of interest connected with the Definitions and Propositions and to many of the Propositions is appended an account of the chief practical Usas to which they may be applied. This is valuable for many reasons, but principally that the Learner may at once see, not simply the theoretical and abstract truths of Geometry, but their direct utility in various ways. There are very many persons who, from studying only the Common Editions of Euclid, which treat exclusively of the Theory of Geometry, never attain to a perception of its importance, and never realise the full advantages of geometrical studies. Indeed, they have read and demonstrated the whole work without perceiving any value in their laborious pursuit except as an exercise of the memory and mental powers in a very dry course of reasoning. It is the main object of our Gradations in Euclid to combine Theory and Practice, and, as soon as a geometrical truth has been established, to point out its use and application. The Author is thoroughly persuaded that this immediate Combination of Theory and its Application, not only awakens and maintains a livelier interest, but, in fact, leads to a more scholar-like understanding of both, than when they are studied separately, or at wide intervals of time.
The Uses to which the Propositions may be applied are very numerous; and we have given only a portion of them - more in the way of example, and to point out in some instances the progress of geometrical discovery.
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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Paperback. Zustand: New. Print on Demand. This book provides an in-depth guide to Euclidean plane geometry, starting with basic definitions and progressing to complex theorems. The author presents a methodical approach to learning geometry, breaking down complex concepts into manageable steps with numerous supporting diagrams and examples. It explores the development of geometry throughout history, tracing its roots back to ancient civilizations and discussing the contributions of key thinkers like Euclid and Pythagoras. The book delves into the theoretical foundations of geometry, such as points, lines, angles, and shapes, and demonstrates their practical applications in various areas, including architecture, engineering, and surveying. It emphasizes the importance of understanding geometric principles for problem-solving and critical thinking in both academic and real-world contexts, making it an invaluable resource for students, educators, and anyone seeking to enhance their knowledge 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. Bestandsnummer des Verkäufers 9781332967100_0
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